MA 330 - Vector Analysis

• Perform the elementary vector operations
• Find the equations of lines and planes
• Differentiate vector functions of one variable
• Analyze three-dimensional curves
• Calculate the divergence and curl of a vector field
• Calculate line, surface, and volume integrals
• Use the divergence and Stokes’ theorems to facilitate integral calculation

• Basic vector algebra
• Three-dimensional analytic geometry
• Differential and integral calculus

• Review of vector algebra (5 classes)
• Vector differential calculus (9 classes)
• Vector integral calculus (11 classes)
• EXAMS (2 classes)

MA 340 - Business Statistics

• Set up a frequency distribution
• Compute the mean and standard deviation of a set of numbers
• Determine probabilities of specific events
• Recognize and use the binomial and normal probability distributions
• Test a hypothesis about means and the binomial parameter ‘p’
• Estimate the mean of a population and the parameter ‘p’
• Understand analysis of variance and be able to calculate linear and multiple regression using Microsoft® Excel*. *Microsoft is a registered trademark of Microsoft Corporation in the United States and/or other countries

• Algebra

• Introduction (3 classes)
• Probability (2 classes)
• Discrete probability distributions (2 classes)
• Binomial distribution (1 class)
• Poisson distribution (1 class)
• Hypergeometric distribution (2 classes)
• Continuous probability distributions (1 class)
• Normal distribution (2 classes)
• Exponential distribution (1 class)
• Sampling (5 classes)
• Hypothesis testing (1 class)
• Estimating mean and variance (3 classes)
• Estimating proportion (2 classes)
• Analysis of variance (5 classes)
• Regression (6 classes)
• EXAMS (3 classes)

MA 343 - Linear Programming

• Use matrix methods to analyze and solve systems of linear equations
• Grasp some of the basic ideas underlying linear programming
• Solve linear programming problems in two variables using a geometric approach
• Solve linear programming problems using the simplex method
• Use the primal-dual approach

• College algebra including matrices and determinants

• Review of matrices and determinants (2 classes)
• Study and solution of simultaneous linear equations (2 classes)
• Linear programming leading to the simplex method (5 classes)
• Simplex method (4 classes)
• Primal-dual problems (6 classes)
• The transportation problem (2 classes)
• Graphs and networks (1 class)
• Critical path method (2 classes)
• The maximal flow problem (2 classes)
• Review and exams (4 classes)

MA 344 - Nonlinear Programming

• Understand the difference between linear, integer, nonlinear and semidefinite programs, as well as the levels their computational complexities
• Learn the basic properties of convex sets and functions
• Solve small constrained and unconstrained convex nonlinear programs by hand
• Understand and be able to verify the Karush-Kuhn-Tucker optimality conditions
• Understand the notion of duality in convex optimization

• The basic principles of algebra
• Differentiation of algebraic functions
• Exposure to multivariate calculus and partial derivatives
• Experience with formulating industrial and graph theoretical Problems using integer and linear programs
• Duality theory in linear programming
• Exposure to vectors and matrices.

MA 380 - Advanced Differential Equations

• Solve some linear systems of ordinary differential equations by Laplace transforms and differential operator methods including the Heavyside function, convolutions, Gamma functions, and periodic functions
• Solve some linear ordinary differential equations with variable coefficients near an ordinary point
• Solve some linear ordinary differential equations with variable coefficients near a regular singular point
• Solve systems of linear differential equations using matrix methods

• Convergence status and interval of convergence of infinite series
• Power series manipulations using differentiation and integration
• Using Maclaurin and Taylor series to approximate functions
• Solution of higher-order linear homogeneous differential equations having constant coefficients
• Solution of non-homogeneous linear differential equations having constant coefficients using the methods of undetermined coefficients and variation of parameters
• Solution of linear differential equations using Laplace transforms
• Matrix operations such as row manipulations, matrix inversion, and solution of a system of equations using matrices

• Solution of differential equations using Laplace transforms (10 classes)
• Solution of linear differential equations near ordinary points and regular singular points (10 classes)
• Solution of systems of differential equations using matrix methods (7 classes)
• Exams (2 classes)

MA 381 - Complex Variables

• Determine if a complex-valued function is analytic
• Apply the Cauchy-Riemann Equations, Cauchy’s Theorem, Cauchy’s Integral Formula, Cauchy’s Inequality, Liouville’s Theorem and the Maximum Modulus Principle to complex valued functions
• Apply Taylor’s Theorem, Laurent’s Theorem and Residue Theorem

• Differential and integral calculus
• Elementary differential equations

• Complex numbers and the complex plane (5 classes)
• Analytic functions (7 classes)
• The elementary functions (4 classes)
• Elementary transcendental functions over the complex numbers (4 classes)
• Integration of analytic functions (6 classes)
• Infinite series expansions, residues and poles (4 classes)
• Review (2 classes)
• Exams (2 classes)

MA 382 - Laplace and Fourier Transforms

• Find Laplace and inverse Laplace transforms using a table
• Find Fourier transforms
• Solve linear differential equations and systems of equations with input functions, such as: continuous, piecewise continuous, unit step, impulse and periodic
• Solve certain types integral, and integro-differential equations
• Solve certain classes of linear partial differential equations

• Improper integrals
• Infinite series
• Linear differential equations

• Basic properties of Laplace transforms and transforms of special functions (3 classes)
• Transforms of derivatives and integrals and derivatives of transform (2 classes)
• Application to differential equations (2 classes)
• The unit step function (1 class)
• The Dirac delta function (1 class)
• Applications of step and impulse functions (1 class)
• Periodic functions and their applications (2 classes)
• Convolution and applications (2 classes)
• Solving integral equations (1 class)
• Fourier series (3 classes)
• Fourier integral representation (1 class)
• Fourier transforms and its properties (2 classes)
• Fourier sine and cosine transforms (1 class)
• Application of Fourier transforms to partial differential equation (2 classes)
• Exams and review for exams (6 classes)

MA 383 - Linear Algebra

• Learn the basic theory of linear algebra
• Apply the basic row operations to solve systems of linear equations
• Solve a matrix equation and a vector equation
• Understand the concept of linear dependence and independence
• Understand matrix transformations and linear transformations and the relationship between them
• Perform all matrix operations, be able to find the inverses and determinants of matrices
• Understand the concept of a subspace and basis
• Describe the column and null spaces of a matrix and find their basis and dimensions, and the rank of a matrix
• Understand the concept of similarity
• Find the eigenvalues and eigenvectors of a matrix
   

• Differential and integral calculus
• Basic vector mathematics

• Introduction to systems of linear equation and solving them using matrices, row operations (3 classes)
• Vectors, vector and matrix equations (3 classes)
• Matrix operations (4 classes)
• Vector spaces including bases, dimension, rank and nullity ( 3 classes)
• Linear independence (2 class)
• Matrix transformations, linear transformations and their relations (3 classes)
• Similarity (1 class)
• Eigenvalues, eigenvectors and their applications (4 classes)
• Diagonalization (2 classes)
• Applications (1 class)
• Reviews and exams (4 classes)

MA 384 - Statistical Methods for Use in Research

• Understand the underlying assumptions for the use of any statistical test and understand why those assumptions exist
• Perform single- and multiple-variable regression analyses and be able to provide the correct interpretation of applied hypothesis tests
• Perform and interpret the meaning of a lack-of-fit analysis
• Perform and interpret analyses of categorical data
• Perform and interpret the application of various normality tests
• Perform and interpret stepwise regression techniques
• Correctly assess nonparametric situations, including knowing which nonparametric statistic to apply, which nonparametric hypothesis test to apply, and how to interpret the results obtained using such statistics and performing such hypothesis tests
• Correctly determine a statistical test’s power
• Correctly determine the sample size necessary for a given statistical situation

• Differentiation and partial differentiation
• Integration and multiple integration
• Basic inferential statistical knowledge
• Knowledge of hypothesis testing

• Simple linear regression and correlation (3 classes)
• Multiple and nonlinear regression, including sequential models (5 classes)
• Contingency tables (4 classes)
• Tests of normality (3 classes)
• Two-way analysis of variance (4 classes)
• Nonparametric statistics (8 classes)
• Power and sample size (3 classes)

MA 385 - Modern Algebra with Applications

• Perform modular arithmetic operations including powers and inverses of large numbers
• Identify whether or not a set together with a binary operation is a group
• Relate divisibility facts to properties of cyclic groups
• Identify isomorphic groups
• Perform arithmetic operations with external direct products of cyclic groups
• Prove basic theorems involving groups
• Perform error-checking and error-correction computations including the ISBN system
• Use the RSA algorithm to encrypt and decrypt large numbers
• Solve second-degree equations in various rings
• Prove basic theorems involving rings

• None 

• Division algorithm, Euclidean algorithm, modular arithmetic and error-checking (4 classes)
• Binary operations and groups (3 classes)
• Finite groups and subgroups (3 classes)
• Cyclic groups (3 classes)
• Mappings and isomorphisms (3 classes)
• External direct products (3 classes)
• RSA encryption and modular arithmetic with large numbers (2 classes)
• Fundamental Theorem of Finite Abelian Groups (1 class)
• Rings (3 classes)
• Impossible constructions (1 class)
• Reviews (2 classes)
• Exams (2 classes)

MA 386 - Functions of a Real Variable

• Understand the basic topology of the real number line
• Understand the basic definitions and theorems concerning limits of sequences
• Determine the convergence of sequences
• Understand the concept and know the basic properties of continuous functions
• Understand the concept and know the basic properties of differentiable functions
• Understand the Riemann integral and the Fundamental Theorem of Calculus

• None 

• Mathematical induction (2 classes)
• Real number line (4 classes)
• Sequences (6 classes)
• Limits (3 classes)
• Continuity (3 classes)
• Differentiability (3 classes)
• Integrability (4 classes)
• Reviews and exams (5 classes)

MA 387 - Partial Differential Equations

• Write Fourier series of functions with period 2p
• Write Fourier series of functions with arbitrary periods
• Be able to write Fourier series of non-periodic functions using half-range expansions
• Write the complex form of Fourier series
• Solve one-dimensional wave equation using method of separation of variables and apply it to vibrating strings
• Solve one-dimensional heat equation using method of separation of variables and apply it to heat conduction in bars
• Solve two-dimensional wave and heat equations using method of separation of variables
• Solve two-dimensional Laplace’s equation in rectangular coordinates
• Solve two-dimensional wave equation in polar coordinates and apply it to vibrating membranes
• Solve two-dimensional Laplace’s equation in polar coordinates and use it in applications.

• Infinite series
• Linear differential equations

• What is a partial differential equation and interpreting a given partial differential equation (2 classes)
• Periodic functions (1 class)
• Fourier series (2 classes)
• Fourier series of functions with arbitrary periods (2 classes)
• Half-range expansions: Fourier sine and cosine series ( 1 class)
• Complex form of Fourier series (1 class)
• Forced oscillations (1 class)
• Modeling: Vibrating string and one-dimensional wave equation (1 class)
• Solution of one-dimensional wave equation using method of separation of variables (2 classes)
• D’Lambert’s method of solving one-dimensional wave equation (1 class)
• Solution of one-dimensional heat equation using method of separation of variables (2 classes)
• Heat conduction in bars: Varying the boundary conditions (1 class)
• The two-dimensional wave and two-dimensional heat equations (1 class)
• Laplace’s equation in rectangular coordinates (2 classes)
• The Poisson’s Equation: The method of eigenfunction expansion (1 class)
• Neumann and Robin conditions (2 classes)
• Laplacian in various coordinate systems (1 class)
• Two-dimensional wave equation in polar coordinates: Vibration of a circular membrane (1 class)
• Two-dimensional Laplace’s equation in polar coordinates (1 class)
• Review for exams and exams (4 classes)

MA 388 - Introduction to Number Theory

• Write elementary proofs
• Use the principle of mathematical induction
• Apply the Euclidean algorithm and solve linear Diophantine equations
• Perform modular arithmetic
• Apply Fermat’s Little Theorem and Euler’s Theorem
• Understand the distribution of the prime numbers
• Test for primality of integers
• Find continued fraction expressions for real numbers (optional)
• Understand the RSA encryption algorithm
• Use Quadratic Reciprocity to compute Legendre symbols

• None 

• Introduction to number theory, mathematical proof, and induction (4 classes)
• Euclidean algorithm, divisibility, the GCD, and linear Diophantine equations (4 classes)
• Fundamental Theorem of Arithmetic (1 class)
• Congruences and Fermat’s Little Theorem. (3 classes)
• The Phi Function and Euler’s Theorem (2 classes)
• Chinese Remainder Theorem (1 class)
• Distribution of Primes; Primality testing. (2 classes)
• Successive squaring, k-th roots, and RSA (3 classes)
• Primitive Roots and Discrete Logarithms (2 classes)
• Quadratic Reciprocity (3 classes)
• Reviews and exams (5 classes)

MA 390 - Financial Mathematics

• None 

MA 461 - Applied Probability Models

• These will be determined next year when the course is designed.

• Fundamentals of Probability

MA 481 - Game Theory

• This will be determined when the course is designed to be offered

• To be determined.

MA 1830 - Transition to Advanced Topics in Mathematics

• Demonstrate proficiency in elementary logic, including using truth tables to prove logical equivalence;
• Manipulate logical sentences symbolically and semantically-for example, apply DeMorgan’s Law to construct denials;
• Demonstrate familiarity with the natural numbers, integers, rational numbers, real numbers, and complex numbers;
• Demonstrate proficiency in interpreting and manipulating existential and universal quantifiers;
• Read and construct proofs using direct and indirect methods;
• Choose methods of proof appropriately;
• Read and construct proofs involving quantifiers;
• Demonstrate proficiency in elementary set theory including construction of sets, subsets, power sets, complements, unions, intersections, and Cartesian products;
• Interpret unions and intersections of indexed families of sets;
• Read and construct proofs involving set theoretic concepts;
• Apply the Principle of Mathematical Induction and its equivalent forms
• Manipulate summations in sigma notation;
• Read and construct proofs related to relations, equivalence relations, and partitions of sets;
• Demonstrate familiarity with functions as relations; injections, surjections, and bijections;
• Construct functions from other functions-for example, compositions, restrictions, and extensions;
• Read and construct proofs related to functions;
• Demonstrate familiarity with cardinality for finite, countable, and uncountable sets.

• None

• Elementary logic with truth tables
• Quantifiers
• Methods of proof
• Elementary set theory
• Operations with sets including indexed families of sets
• Principle of Mathematical Induction and its equivalent forms
• Cartesian products
• Relations, equivalence relations, and partitions of sets
• Functions, surjections, and injections
• Cardinality of sets

MA 1840 - Computer Applications in Applied Mathematics

• None

MA 2310 - Discrete Mathematics I

• Illustrate by examples the basic terminology of functions, relations, and sets
• Illustrate by examples, both discrete and continuous, the operations associated with sets, functions, and relations
• Apply functions and relations to problems in computer science
• Manipulate formal methods of symbolic propositional and predicate logic
• Demonstrate knowledge of formal logic proofs and logical reasoning through solving problems
• Illustrate by example the basic terminology of graph theory
• Apply logic to determine the validity of a formal argument
• Identify a relation; specifically, a partial order, equivalence relation, or total order
• Identify a function; specifically, surjective, injective, and bijective functions
• Illustrate by examples tracing Euler and Hamiltonian paths
• Construct minimum spanning trees and adjacency matrices for graphs

• Basic concepts of college algebra
• Basic concepts of set theory

• Course introduction (1 class)
• Propositional logic: normal forms (conjunctive and disjunctive) (2 classes)
• Propositional logic: Validity (1 class)
• Fundamental structures: Functions (surjections, injections, inverses, composition) (2 classes)
• Fundamental structures: Relations (reflexivity, symmetry, transitivity, equivalence relations (1 class
• Fundamental structures: Discrete versus continuous functions and relations (1 class)
• Fundamental structures: Sets (Venn diagrams, complements, Cartesian products, power sets) (2 classes)
• Fundamental structures: Cardinality and countability (1 class)
• Boolean algebra: Boolean values, standard operations, de Morgan’s laws (1 class)
• Predicate logic: Universal and existential quantification (1 class)
• Predicate logic: Modus ponens and modus tollens (1 class)
• Predicate logic: Limitations of predicate logic (1 class)
• Recurrence relations: Basic formulae (1 class)
• Recurrence relations: Elementary solution techniques (1 class)
• Graphs: Fundamental definitions (1 class)
• Graphs: Directed and undirected graphs (1 class)
• Graphs: Spanning trees (1 class)
• Graphs: Shortest path (1 class)
• Graphs: Euler and Hamiltonian cycles (1 class)
• Graphs: Traversal strategies (1 class)
• Review and exams (4 classes)

MA 2410 - Statistics for Mathematics Majors

• Know which probability distribution applies to a given statistical situation
• Know how to perform a complete hypothesis test
• Know how to correctly calculate and interpret a p-value
• Recognize the similarities between the various hypothesis tests and the formulas used by these tests
• Be able to construct appropriate confidence intervals for various statistical situations
• Recognize the complementary nature of hypothesis testing and the construction of confidence intervals
• Perform analysis of variance when appropriate and interpret the results
• Know how to perform simple linear regression and understand how the formulas used were derived

• Algebra

• Four major probability distributions used in hypothesis testing: Normal, Student-t, Chi-Squared, F (2 classes)
• Review binomial distribution (to use in hypothesis testing) (1 class)
• One-sample hypothesis testing (5 classes)
• Two-sample hypothesis testing (4 classes)
• Analysis of Variance (5 classes)
• Time Series/Forecasting (6 classes)
• Nonparametric Statistics (6 classes)
• Simple Linear Regression and Correlation/Hypotheses (5 classes)
• Multiple Linear Regression (3 classes)
   

MA 2630 - Probability I for AS/OR Majors

• Be able to perform basic set theory operations including union, intersection, and apply them to probability situations
• Understand the differences between mutually exclusive events and independent events, and apply this knowledge to probability situations
• Understand the differences and similarities of combinations and permutations and how combinations are used to evaluate probabilities.
• Understand the concept of conditional probability, and how it extends to the Law of Total Probability and Bayes’ Rule
• Be able to use various discrete probability distributions to determine probabilities
• Be able to understand, derive and use discrete probability mass functions, distribution functions, and moment-generating functions.
• Be able to understand, derive, and use discrete joint probability functions
• Understand the meaning and relevance of variance and standard deviation, and how it relates to probability calculations
• Be able to understand and use the results of the Central Limit Theorem
• Be able to use a transformation function to transform one probability mass function into another

• Algebra
• Calculus

• Union and intersection notation, theory, and examples
• Mutually exclusive events and independent events
• Addition and multiplication rules for probability
• Combinatorics
• Conditional Probability
• Law of Total Probability
• Bayes’ Rule
• Discrete probability distributions such as the binomial, Poisson, negative binomial, uniform, geometric, hypergeometric, etc.
• Discrete probability mass functions
• Discrete cumulative distribution functions
• Discrete moment-generating functions
• Continuous probability distributions such as the Gaussian (normal) distribution, Student-t, chi-squared, F, exponential, gamma, beta, etc.
• Continuous probability density functions
• Continuous cumulative density functions
• Continuous moment-generating functions
• Measures of dispersion (including variance)
• Transformations of random variables

MA 2631 - Probability II for AS/OR Majors

• Be able to understand and apply continuous probability distributions to appropriate probability situations
• Be able to understand, derive and use continuous probability density functions, conditional probability density functions, marginal functions, and moment-generating functions
• Be able to understand, derive, and use continuous joint probability functions
• Be able to understand the meaning and relevance of, and use, measures of dispersion for continuous multi-variable probability distributions
• Be able to understand, calculate, and use covariance
• Be able to understand, calculate, and apply to correlation coefficient appropriate situations
• Be able to perform transformations of continuous random variables
• Be able to form and use linear combination of random variables with respect to calculation of probabilities and moments

• Multivariable calculus
• Discrete random variables

• Continuous probability distributions such as the Gaussian (normal) distribution, Student-t, chi-squared, F, exponential, gamma, beta, etc.
• Continuous probability density functions
• Continuous cumulative density functions
• Continuous moment-generating functions
• Continuous joint probability functions, joint probability density functions, and joint cumulative density functions
• Conditional and marginal distributions and densities
• Moments for the discrete and continuous joint functions considered
• Joint moment-generating functions
• Measures of dispersion for multi-variable probability distributions
• Covariance
• Correlation coefficients
• Transformations of continuous random variables
• Linear combinations of random variables including probabilities and moments

MA 2830 - Linear Algebra for Math Majors

• Understand the basic theory of linear algebra
• Apply the basic row operations to solve systems of linear equations
• Solve a matrix equation and a vector equation
• Understand the concept of linear dependence and independence
• Understand matrix transformations and linear transformations and the relationship between them
• Perform all matrix operations, be able to find the inverses of matrices
• Understand concepts of vector space, subspace and basis and be able to change bases
• Describe the column and null spaces of a matrix and find their dimensions
• Find the rank of a matrix
• Be able to find the eigenvalues and corresponding eigenvectors of matrices 
• Be able to identify a diagonalizable matrix and diagonalize it 
• Understand the relationship between eigenvalues and linear transformations 
• Understand the concepts of orthogonality and orthogonal projections 
• Apply the Gram-Schmidt Process to produce orthogonal bases 
• Find the least-squares solution to a system of linear equations 

• None

MA 2831 - Linear Algebra for Math Majors I

• Learn the basic theory of linear algebra
• Apply the basic row operations to solve systems of linear equations
• Solve a matrix equation and a vector equation
• Understand the concept of linear dependence and independence
• Understand matrix transformations and linear transformations and the relationship between them
• Perform all matrix operations, be able to find the inverses of matrices
• Understand concepts of vector space, subspace and basis and learn how to change bases
• Find the column and null spaces of a matrix and their dimensions, and the rank of a matrix

• None 

• Introduction to systems of linear equation and solving them using matrices, row operations (6 classes)
• Vectors and matrix equations (4 classes)
• Matrix operations (4 classes)
• Vector spaces including bases, dimension, rank and nullity ( 5 classes)
• Linear independence (3 class)
• Matrix transformations, linear transformations and their relations (4 classes)
• Reviews and exams (4 classes)

MA 2832 - Linear Algebra for Math Majors II

• Be able to find the eigenvalues and corresponding eigenvectors of matrices
• Be able to identify a diagonalizable matrix and diagonalize it
• Understand the relationship between eigenvalues and linear transformations
• Understand the concepts of orthogonality and orthogonal projections
• Apply the Gram-Schmidt Process to produce orthogonal bases
• Find the least-squares solution to a system of linear equations
• Diagonalize symmetric matrices
• Compute quadratic forms

• None 

• Real eigenvalues and eigenvectors (4 classes)
• Diagonalization (3 classes)
• Eigenvalues and linear transformations (2 classes)
• Complex eigenvalues (2 classes)
• Inner products and orthogonality (3 classes)
• Orthogonal projections (3 classes)
• The Gram-Schmidt Process (2 classes)
• Least-square solutions to linear systems (2 classes)
• Symmetric matrices (2 classes)
• Quadratic forms (2 classes)
• Reviews and exams (5 classes)

MA 3320 - Discrete Mathematics II

• Illustrate by examples proof by contradiction
• Synthesize induction hypotheses and simple induction proofs
• Apply the Chinese Remainder Theorem
• Illustrate by examples the properties of primes
• Calculate the number of possible outcomes of elementary combinatorial processes such as permutations and combinations
• Identify a given set as countable or uncountable
• Derive closed-form and asymptotic expressions from series and recurrences for growth rates of processes
• Be familiar with standard complexity classes
• Apply Bayes’ rule and demonstrate an understanding of its implications
• Apply conditional probability to identify independent events

• Predicate logic
• Recurrence relations
• Fundamental structures
• Continuous probability

• Course introduction (1 class)
• Proofs: direct proofs (1 class)
• Proofs: proof by contradiction (2 classes)
• Number theory: factorability (1 class)
• Number theory: properties of primes (1 class)
• Number theory: greatest common divisors and least common multiples (1 class)
• Number theory: Euclid’s algorithm (1 class)
• Number theory: Modular arithmetic (1 class)
• Number theory: the Chinese Remainder Theorem (1 class)
• Computational complexity: asymptotic analysis (1 class)
• Computational complexity: standard complexity classes (1 class)
• Counting: Permutations and combinations (2 classes)
• Counting: binomial coefficients (1 class)
• Countability: Countability and uncountability (2 classes)
• Countability: Diagonalization proof to show uncountability of the reals (1 class)
• Discrete probability: Finite probability spaces (1 class)
• Discrete probability: Conditional probability and independence (2 classes)
• Discrete probability: Bayes’ rule (1 class)
• Discrete probability: Random events (1 class)
• Discrete probability: Random integer variables (1 class)
• Discrete probability: Mathematical expectation (1 class)
• Review and exams (4 classes)

MA 3501 - Engineering Mathematics I

• Perform vector operations and their applications to area and volume
• Determine the length of parametrically defined curves
• Find tangent lines to parametrically defined curves
• Find gradients and directional derivatives
• Find tangent planes and normal lines to surfaces
• Find extrema of functions of two variables
• Evaluate the integrals and interpret the results as Work
• Evaluate curl and divergence of a vector field
• Evaluate iterated integrals, including the interchange of order in rectangular and polar coordinates
• Evaluate moments and centroids
• Apply Green’s Theorem to evaluate line integrals around simple closed curves

• MA 226   or equivalent: differentiation of trigonometric, inverse trigonometric, exponential and logarithmic functions, techniques of integration (direct and inverse substitution, integration by parts, trigonometric integrals and partial fractions)

• Parametric Equations
• Arc-length (in R2)
• Arc-Length (in R2 & R3)
• Vectors and vector operations (scalar (dot) product)
• Vectors and vector operations ( vector (cross) product)
• Applications of Vectors
• The geometry of R3
• Spheres, Lines and planes in R3
• Lines and Planes in R3 (parametric interpretation)
• Partial Derivatives
• Gradients and Total Differentials
• Directional Derivatives and Tangents
• Tangents and Normals
• Tangents and Normals (level surface interpretation)
• Maxima and Minima of Functions of Two Variables
• Line Integrals
• Line Integrals as Work
• Independence of Path
• Curl and Divergence
• Double Integrals (Rectangular Regions)
• Iterated Integrals
• Iterated Integrals, Interchange of Order
• Centroids and Moments (in R2)
• Green’s Theorem
• Polar Coordinates
• Double Integrals in Polar Coordinates

MA 3502 - Engineering Mathematics II

• Upon successful completion of this course a student will be able to:
• Determine the solution of a first order differential equations by the method of separation of variables.
• Solve exact equations.
• Determine appropriate integrating factors for first order linear equations.
• Determine the general solution of higher order linear homogeneous equations with constant coefficients.
• Determine the general and particular solutions of certain linear non-homogenous equations using the methods of undetermined coefficients and variation of parameters.
• Determine the Laplace transform and inverse Laplace transform of certain elementary functions.
• Solve certain linear differential equations using Laplace transforms.

• Differentiation of elementary functions for all topics
• Integration techniques for solving differential separable and exact equations and for variation of parameters
• Improper integrals for Laplace transforms

• Basic concepts of differential equations (2 classes)
• Solution of first order equations by separation  of variables ( 2 classes)
• Solution of exact equations (2 classes)
• Solution of first order linear non-homogeneous equations (2 classes)
• Solution of higher order linear homogeneous differential equations with constant coefficients (7 classes)
• Solution of higher order linear non-homogeneous differential equations using the method of undetermined coefficients (2 classes)
• Solution of higher order linear non-homogeneous differential equations using the method of variation of parameters (1 class)
• Introduction to Laplace transforms (1 class)
• Laplace transforms of elementary functions (1 class)
• Inverse Laplace transforms (2 classes)
• Operational properties: Laplace transforms and inverse Laplace transforms involving transforms of derivatives, derivatives of transforms, exponential shift (translation on the s-axis) and Heaviside function (translation on the t-axis), Dirac delta function and periodic functions (8 classes)
• Solution of linear differential equations using Laplace transforms (4 classes)
• Review (2 classes)
• Exmas (2 classes)

MA 3610 - Biostatistics

• Recognize and evaluate conditional probability situations, such as those when Bayes’ Rule applies
• Understand and interpret conditional probability results such as the specificity of the test, the sensitivity of the test and predictive values positive and negative
• Perform z-tests and t-tests based on single samples and multiple samples, both paired and unpaired, by hand and by using Minitab, and be able to interpret the results
• Understand the difference between a z-test and a t-test, and one- and two-sample inference hypothesis testing and be able to choose the appropriate test for a given set of data
• Know when to use the consequences of using directional alternative hypotheses
• Assess true positive and true negative conclusions, Type I and Type II errors; influence of alpha, sample size, and effect size on statistical power. Understand how these concepts apply to diagnostic screening tests
• Determine rejection criteria for a given statistical test
• Understand assumptions and assumptions testing
• Interpret and use statistical tables and determine degrees of freedom (when appropriate)
• Determine linear and nonlinear regression lines
• Determine correlation and the correlation coefficient
• Know when to use, and how to apply, nonparametric statistics

• Prereq MA 136  
• Coreq MA 137  

• Introduction to Probability; Conditional Probability; Bayes’ Rule
• Bayes’ Rule and Screening Tests; Prevalence and Incidence
• Binomial Distribution
• Poisson Distribution
• One-Sample Hypothesis Testing (Means and Proportions)
• Two-Sample Hypothesis testing (Means and Proportions)
• Nonparametric Statistics
• Linear Regression and Correlation
• Nonlinear Regression
• Hypothesis Testing of Categorical Data/Fisher’s Exact Test

MA 3611 - Biostatistics

• Be able to recognize and evaluate conditional probability situations such as Bayes’ Rule, specificity, sensitivity, predictive value positive, and predictive value negative.
• Be able to set up and evaluate inferences using hypothesis tests and confidence intervals.
• Be able to perform hypothesis tests for one- and two-sample situations.
• Be able to recognize when analysis of variance (ANOVA) is applicable, and subsequently be able to apply and evaluate ANOVA calculations.
• Be able to recognize when nonparametric situations are present and then be able to apply the correct nonparametric test, evaluate it, and interpret it.
• Be able to use SAS (or SPSS if it is the statistical package being used) when appropriate.
• Be able to read and interpret the statistical content of assigned articles in the NEJM.
   

• To be determined

MA 3620 - Random Variables and Statistics

• Calculate basic probabilities
• Recognize and calculate conditional probabilities
• Recognize random variables and use them to calculate moments
• Distinguish discrete and continuous random variables
• Determine cumulative distribution functions and probability density functions and recognize their relevance
• Perform hypothesis testing and interpret the results
• Perform hypothesis testing and interpret the results for both one- and two-sample testing

• Algebra
• Trigonometry
• Differentiation
• Integration

• Course introduction (1 class)
• Basic probability concepts (2 classes)
• Conditional probability/Bayes’ Rule (3 classes)
• Introduction to random variables (1 class)
• Introduction of cumulative distribution functions, probability density functions, and moment-generating functions (4 classes)
• Discussion of various probability distributions including uniform, binomial, Poisson, geometric, exponential, Gaussian. (4 classes)
• Functions of two random variables including joint distribution and density functions and conditional densities (5 classes)
• Basics of descriptive statistics (2-3 classes)
• Exams (2 classes plus the final exam)

MA 3630 - Probability

• No course learning outcomes appended

• None

• None appended

MA 3710 - Mathematical Biology

• Interpret biological assumptions in terms of mathematical equations
• Construct mathematical models to illustrate a biological processes
• Write computer simulations for a biological model
• Analyze a model numerically and graphically
• Find equilibria of system of equations
• Perform local stability analysis
• Solve counting problems involving the addition and multiplication rules, permutations, and combinations
• Compute probability of discrete events

• Know the techniques of limits, differentiation, and integration
• Be able to determine the solution of first-order differential equations by the method of separation of variables
• Be able to determine appropriate integrating factors for first-order linear differential equations
• Be able to apply and solve first-order differential equations of selected applications

• Introduction to Mathematical Biology (1 class)
• Constructing a model (2 classes)
• Exponential and Logistic Growth (2 classes)
• Population-genetic models (2 classes)
• Models of interaction among species (1 class)
• Epidemiological models of disease spread ( 1 class)
• Matlab Review (1 class)
• Numerical and graphical techniques (2 classes)
• Finding equilibrium (1 class)
• Performing local stability analysis: one variable model (2 classes)
• Finding an approximate equilibrium ( 1 class)
• Matrices, Eigenvalues, Eigenvectors ( 1 class)
• Performing local stability analysis: Non-linear models with multiple variables (2 classes)
• Counting principles: Addition and Multiplication Rules (1 class)
• Permutations (1 class)
• Combinations (1 class)
• Arrangements with repetitions (1 class)
• Probability ( 1 class)
• Conditional probability and independence of events ( 1 class)
• Exams (3 classes)
• Review ( 2 classes)

GE 3101 - Fluid Mechanics

• Apply the fluid-static equation to determine pressure at a point
• Apply the steady-flow forms of the mass and energy balances to a variety of fluid flow problems
• Determine pipe friction and minor losses, and include these in the energy analysis
• Evaluate the performance of pumps and fans, using pump-fan curves and flow analysis
• Utilize instrumentation for measurement of fluid and flow properties, with an understanding of the accuracy and precision of the measuring systems

• Newton’s Second Law
• Trigonometric relations

• Definitions and properties (2 classes)
• Statics and pressure gauges (4 classes)
• Fluid flow: mass and energy balances (3 classes)
• Bernoulli energy, losses, shaft work (5 classes)
• Turbomachinery (4 classes)
• Exams (2 classes )

• Pressure gauge calibration
• Measurement of viscosity
• Measure of air flow in a duct
• Obstruction flow meter calibration
• Determination of friction factor and minor losses
• Analysis of a pump system/analysis of a fan syste.
• Reynolds’ experiment

GE 3302 - Instrumentation and Control of Engineered Systems

• Design and conduct engineering experiments
• Describe the characteristics and requirements for common measurements
• Describe the operation and use of common sensors used in measurement
• Design a measurement and data acquisition system

• Basic circuits, dynamics, heat transfer and MAT-LAB programming

• Signal Characteristics
• Measurement System Behavior
• Sampling and Data Acquisition
• Measurement Uncertainty & Uncertainty Analysis
• Planning an Experiment
• Technical Report Writing
• Types of Measurements
• Mechatronics, Actuators & Controls
• Review and Exams

• Measurement uncertainty (Measuring Density of a Sample)
• Static Calibration and Transient Response (Temperature measurement)
• Measurement of temperature rise during cutting process
• Measurement of Torque vs Tension in Bolted joint (Strain Gage)
• Accelerometer Measurement (vibration of Cantilever Beam)
• Accelerometer Measurement (Transient, Vehicle  ”Crash Test”)
• Pressure & Flow Measurement
• Project (Specification of Measurement and Data Acquisition)

ME 190 - Computer Applications in Engineering I

• Have learned to apply problem-solving skills to engineering problems
• Have learned how to present formal solutions to engineering problems
• Have learned a variety of computer tools, and understand how they can be applied to mechanical and industrial engineering problems

• College Trigonometry and Algebra

• Problem Solving Methodologies, Introduction to Matlab (1 class)
• Simple and symbolic operations (3 classes)
• Working with Arrays, Plotting (2 classes)
• Programming - Loops (3 classes)
• Programming - Logic (2 classes)
• Solving Equations - Matlab (2 classes)
• Numerical Integration - Matlab (2 classes)
• Matrix Methods - Matlab (1 class)
• Optimization - Excel (2 classes)
• Testing and Review

• Problem Solving with Matlab
• Plotting data
• Roots of Equations
• Numerical Integration
• Solution of Simultaneous Equations
• Optimization

ME 191 - Computer Applications in Engineering II

• Have applied concepts of structured programming in the control of electromechanical systems
• Have implemented computer-based data acquisition systems

• Programming

• Programming with the Labjack interface device (1 class)
• Digital I/O (1 class)
• Analog I/O (1 class)
• Control of Stepper Motors (2 classes)
• Introduction of Robotics (2 classes)
• Design Projects (2 classes)

• Discrete I/O - Pushbuttons and LEDS
• Analog I/O - DC Motors and Solar Cells
• Control of a Stepper Motor
• Coordinated Control of a Two-Axis Positioning System
• Single-Axis Control of a Robot
• Coordinated Control of a Multi-Axis Robot
• Student Design Projects

ME 205 - Engineering Statics

• Draw free body diagrams for static systems
• Perform 2-D equilibrium analysis using scalar analysis
• Perform 3-D equilibrium analysis using vector analysis
• Determine internal forces in trusses, frames and machines
• Analyze the effect of friction in static systems
• Compute area and mass moments of inertia of shapes and bodies

• Vector mathematics
• Physics of mechanics
• Integral calculus

• Introduction to Mechanics (Unit systems, forces, vector mathematics) (2 classes)
• 2-D and 3-D Particle Equilibrium (4 classes)
• Moments, Force/Couple Systems (5 classes)
• 2-D and 3-D Rigid Body Equilibrium (7 classes)
• Analysis of trusses, frames, and machines (5 classes)
• Friction (3 classes)
• First Area Moments, Centroids (by composite shapes and direct integration) (3 classes)
• Area Moment of Inertia (by composite shapes and direct integration) (3 classes)
• Mass Moment of Inertia (by composite shapes and direct integration) (3 classes)
• Testing and Review (5 classes)

ME 206 - Engineering Dynamics

• Determine the position, velocity, and acceleration of particles subjected to rectilinear translation
• Determine the trajectory of projectiles given initial conditions
• Determine the position, velocity and acceleration of given points of a properly constrained kinematic linkage
• Determine the acceleration or force causing acceleration using Newton’s Second Law of Motion
• Determine the motion of kinetic systems using the principle of work and energy
• Determine the motion of particles using the principle of impulse and momentum
• Determine the forces acting on rigid bodies in motion

• None

• Rectilinear motion of particles (6 classes)
• Relative and dependent motion of particles (2 classes)
• Curvilinear motion of particles (4 classes)
• Plane kinematics of rigid bodies-velocities (5 classes)
• Plane kinematics of rigid bodies-accelerations (2 classes)
• Kinematics of particles-Newton’s 2nd Law (3 classes)
• Work and energy (3 classes)
• Conservation of energy (2 classes)
• Impulse and momentum (1 class)
• Kinetics of rigid bodies (3 classes)
• Review/problem sessions (5 classes)
• Testing & Review (3 classes)

ME 207 - Mechanics of Materials

• Determine stresses resulting from axial, bending, torsion, and transverse loading
• Apply Hooke’s Law for materials with linear stress-strain behavior
• Construct shear and bending moment diagrams for statically indeterminate structures
• Determine the stress state in a member resulting from combinations of loads
• Know how to find principal stresses for a state of plane stress
• Determine beam deflections by integrating the moment equation
• Be familiar with the Euler buckling load for columns of various end conditions

• Statics, integral and differential calculus

• Review of statics, reactions, internal loads (2 classes)
• Concept of stress and strain (5 classes)
• Mechanical properties of materials (3 classes)
• Axial loading (3 classes)
• Stress concentrations (1 class)
• Torsion (3 classes)
• Shear and moment diagrams (3 classes)
• Bending stresses (3 classes)
• Transverse shear (3 classes)
• Combined loads (2 classes)
• Stress and strain transformations, including Mohr’s circle and strain rosettes (4 classes)
• Principal stresses (2 classes)
• Beam deflections (3 classes)
• Testing (3 classes)

• Specimen in tension or compression
• Uniaxial loading in a truss
• Shear of joined sections
• Combined stresses
• Stresses in beams
• Beam deflection
• Stress-strain curve

ME 230 - Dynamics of Systems

• Understand basic system components of mechanical, electrical, thermal and fluid systems and combine components into systems
• Formulate mechanical, electrical, thermal, fluid and mixed discipline systems into appropriate differential equation models
• Analyze linear systems for dynamic response - both time and frequency response
• Recognize the similarity of the response characteristics of various physically dissimilar systems
• Solve systems using classical methods and MATLAB/Simulink

• Electrical circuits
• Differential equations
• Dynamics

• Introduction to dynamic systems (1 class)
• Laplace Transform (3 classes)
• Modeling mechanical systems (5 classes)
• Transfer-function and state-space approaches to modeling (5 classes)
• Modeling electrical and electromechanical systems (5 classes)
• Fluid systems and Thermal systems (5 classes)
• Systems dynamic response analysis: time domain (4 classes)
• Systems dynamic response analysis: frequency domain (4 classes)
• Lab demonstrations (first and second order systems) (4 classes)
• Review and Tests (4 classes)

ME 255 - Engineering Statics for Nonmechanical Engineers

• Analyze particles in 2-D and 3-D equilibrium using vector and scalar methods
• Analyze 2-D rigid bodies in static equilibrium including trusses, frames, and machines
• Include friction forces in a 2-D equilibrium analysis
• Locate centroid of areas
• Calculate moment of inertia of areas

• Vector algebra
• Differential and integral calculus
• Physics of mechanics

• Introduction to vector mechanics (4 classes)
• 2-D and 3-D particle equilibrium (4 classes)
• Moments and couples (3 classes)
• 2-D rigid body equilibrium (4 classes)
• Trusses, frames, and machines (6 classes)
• Friction (3 classes)
• Centroids (2 classes)
• Exams and reviews (4 classes)

ME 257 - Strength of Materials for Nonmechanical Engineers

• Take a structural member, simply loaded, and find principle (max.) normal stresses, shear stresses and their angular locations within the member
• Calculate beam deflections and deformation angles under various lateral loadings using the principle superposition
• Be familiar with various tests used in industry to determine material properties, as well as being able to utilize the test outputs

• Load Reactions
• Area Centroids
• Area Moment of Inertia

• Introduction, Stress-strain, Hardness, Toughness (3 classes)
• Axial stress (tension/compression) (2 classes)
• Buckling (2 classes)
• Pinned Joints (3 classes)
• Torsion (3 classes)
• Shear-moment diagrams (4 classes)
• Bending (3 classes)
• Maximum stresses (3 classes)
• Beam deflection (2 classes)
• Review & Exams (5 classes)
• Comprehensive Final Exam Required

• Tensile (stress/strain); Charpy; Hardness
• Buckling; Stress Concentrations
• Torsional Deflection and Stress
• Axial Loading with Rosettes
• Bending Stress
• Beam Deflection
• Torsion and Bending
• Cylinder Stresses

ME 300 - Modeling and Numerical Analysis

• Model engineering systems using first and second order differential equations, and solve the equations both analytically and numerically
• Employ the Taylor Series for approximation and error analysis
• Formulate and apply numerical techniques for root finding, curve fitting, differentiation, and integration
• Write computer programs to solve engineering problems

• Programming
• Differential equations
• Differential and integral calculus

• Introduction to modeling (2 classes)
• Error analysis/Taylor Series (2 classes)
• Root finding (3 classes)
• Curve fitting (3 classes)
• Matrix applications (3 classes)
• Numerical differentiation (3 classes)
• Numerical integration (3 classes)
• Differential equations (7 classes)
• Partial differential equations & boundary value problems (2 classes)
• Testing and review (2 classes)

• Programming/computing techniques
• Matrix solution methods
• Solution of simultaneous equations
• Modeling of first and second order mechanical/electrical/thermal systems
• Applications of root-finding to vehicle dynamics & thermal insulation
• Applications of curve-fitting to experimental data
• Applications of numerical integration to evaluate moments of inertia, friction work, volumetric fluid flow, and thermal heat flow

ME 309 - Intermediate Mechanics of Materials

• Be familiar with several static failure criteria and be able to apply an appropriate criterion for a given material/stress state
• Be familiar with column design codes (steel, aluminum, and timber) and be able to design compression members
• Solve statically indeterminate problems
• Know how to find solutions for thin-wall pressure vessels loading and non-circular members under torsion loading
• Understand the assumptions inherent in approximate theories of stress and strain
• Have completed design exercises in which iterations were required to find an acceptable solution

• Basic strength of materials, statics, integral and differential calculus

• Review of fundamental mechanics of materials topics (2 classes)
• Static failure theories (6 classes)
• Buckling and Column design (6 classes)
• Beam deflection by moment-area method (2 classes)
• Statically indeterminate structures (2 classes)
• 3-D Hooke’ Law, Stress and Strain (2 classes)
• Thin and thick walled pressure vessels (2 classes)
• Torsion of non-circular across-section (3 classes)

• Modulus and Column Buckling
• Pressure vessel
• Deflection of a Statically Indeterminate Beam
• Non-Circular Torsion

ME 311 - Principles of Thermodynamics I

• Use thermodynamic tables to find properties
• Apply the ideal gas and incompressible liquid and pure substance models to thermodynamic problems
• Write an energy balance for a closed system
• Use the closed system energy balance to evaluate processes, including determining work and heat transfer
• Write an energy balance for steady flow open system
• Use the open system energy balance to evaluate processes, including determining work and heat transfer

• Partial derivatives
• Differential and integral calculus
• Physics of liquids and gases

• Introduction, Definitions, Dimensions and Units
• Thermodynamic Properties, State, Temperature and Pressure
• Energy Transfer by Work, Forms of Mechanical Work, Moving Boundary Work
• The First Law of Thermodynamics, Energy Balances
• Pure Substance Model, Phases and Phase Change of a Pure Substance, Property Tables
• Ideal Gas Model
• Internal Energy, Enthalpy, and Specific Heats of Ideal Gasses and Liquids
• Open Systems - Conservation of Mass
• Steady-Flow System Energy Analysis of Devices - Nozzles, Diffusers, Turbines, Compressors, Throttling Valves, Mixing Chambers, Heat Exchangers
• Energy and the Environment
• Connections between Energy Generation, Energy Consumption and Global Climate Change

ME 314 - Principles of Thermodynamics II

• Write the energy balance for unsteady flow, and use it to evaluate processes, including determination of work and heat transfer
• Apply a Second Law analysis (entropy or energy) to processes involving both closed and open systems
• Evaluate the performance of Rankine and Brayton cycles, with their modifications
• Analyze refrigeration cycles

• First Law of Thermodynamics
• Ideal gas, equation of state, steam tables, property diagrams
• Energy balances for closed and open systems

• Unsteady flow processes
• Second Law, entropy, reversible and irreversible processes, performance parameters of real and ideal devices, isentropic efficiency, exergy
• Rankine cycle with modifications
• Brayton cycle with modifications
• Refrigeration cycles

ME 317 - Fluid Mechanics

• Apply the fluid-static equation to determine pressure at a point
• Apply the control volume forms of the mass, energy, and momentum equations to a variety of problems, including pump/turbine problems with pipe friction and minor losses
• Determine the drag force on objects subjected to fluid flow
• Utilize instrumentation for measurement of fluid and flow properties, with an understanding of the accuracy and precision of the measuring systems

• Vector analysis
• Differential and integral calculus
• Partial derivatives
• Newton’s second law

• Definitions and properties
• Statics and pressure gauges
• Fluid kinematics
• Control volume and conservation of mass, momentum and energy
• Bernoulli, pipe friction, minor losses
• Differential analysis and viscous flow
• Boundary layer and drag

• Instrument calibration
• Measurement of air flow in a duct
• Determination of friction factor and minor losses
• Analysis of a pump system
• 1st order Error propagation and statistical analysis of data
• Dimensional analysis and similitude

ME 318 - Heat Transfer

• Demonstrate the ability to model physical systems subject to heat transfer, using calculus and differential equations
• Demonstrate the ability to solve the related differential equations, and concretely relate the results to an observable heat transfer process
• Apply models of conduction, convection and radiation heat transfer, and to solve practical engineering heat transfer problems

• Fluid mechanics
• Differential equations
• 1st Law of Thermodynamics

• Introduction to heat transfer (rate laws for the three heat transfer mechanisms)
• The heat diffusion equations
• One-dimensional steady-state conduction for planar, cylindrical, and spherical geometry
• Electrical circuit analogy to heat transfer analysis
• Fins
• Transient lumped capacitance method
• Physical significance of dimensionless parameters
• Forced convection (external flow)
• Forced convection (internal flow)
• Free convection
• Heat exchangers
• Radiation overview

ME 321 - Materials Science

• Classify materials based on structure and bonding
• Be familiar with common mechanical properties of materials and testing methods
• Be familiar with the fundamental crystal structures and important crystallographic defects of various materials
• Be familiar with the fundamentals of atomic movement in solids, including how it occurs and the mathematical models
• Be familiar with typical properties and common engineering applications of broad categories of materials (metals, polymers, ceramics, composites)
• Be familiar with engineering literature/resources for material property information

• Introductory Solid State Chemistry
• Introductory Strength of Materials
• Differential/Integral Calculus

• Types of materials (metals, ceramics and polymers) and the structure-property-processing relationship (1 class)
• Properties of materials. Sources of material property data, standards for testing. Relative property values for the major classes of materials (2 classes)
• Mechanical and physical properties of materials (metals, ceramics and polymers) (6 classes)
• Bonding and structure in materials (metals, ceramics and polymers), including defects and imperfections (6 classes)
• Atomic movement (diffusion) in crystalling solids (3 classes)
• Ceramics and ceramic-matrix composites (3 classes)
• Polymers and polymer-matrix composites (4 classes)
• Exams (2 classes)

ME 322 - Engineering Materials

• Utilize binary alloy phase diagrams in microstructure determination and heat treating
• Apply knowledge of the structure- processing-property relationships to specify basic heat treatment, solidification, and deformation processes to obtain desired properties
• Identify important microstructural features in various alloy systems
• Be familiar with typical mechanical properties and applications of common alloys
• Be familiar with basic materials lab equipment and conduct experiments
• Correctly analyze and interpret data from lab experiments

• Atomic, crystal and defect structure in solids
• Atomic movement in solids, diffusion
• Structure and general properties of metals
• Strength of materials
• Introductory thermodynamics

• Review of Mechanical Properties (1 class)
• Overview of strengthening mechanisms in metals and alloys (2 classes)
• Deformation of Metals and Strain hardening (3 classes)
• Principles of Solidification (3 classes)
• Isomorphous Phase Diagrams and Phase Rule (3 classes)
• Eutectic Phase diagrams and solidification in Eutectic Systems (3 classes)
• Precipitation Hardening (3 classes)
• Microstructure and Heat Treatment of Steels (3 classes)
• Martensite Transformation, Tempering (2 classes)
• Effect of Alloy Elements in Steels. (1 classe)
• Stainless Steels (2 classes)
• Cast Iron (2 classes)
• Exams (2 Classes)

• Hardness Testing
• Metallographic Methods
• Recrystallization of Brass
• Impact Testing
• Cooling Curves/Pb-Sn Phase Diagram
• Precipitation Strengthening of Aluminum
• Heat Treatment of Steel (2 weeks)
• Jominy Test/Hardenability of Steel

ME 323 - Manufacturing Processes

• Describe the attributes of common manufacturing processes
• Understand the advantages and limitations of common manufacturing processes
• Recommend a manufacturing process based on characteristics of a part and required production quantities
• Design components for ease of manufacture

• None

• Attributes of manufacturing systems (2 classes)
• Measurement and Statistical Process Control (2 classes)
• Casting Processes (4 classes)
• Powder Metallurgy (3 classes)
• Deformation Processing (2 classes)
• Sheet Metal Forming (1 class)
• Machining - traditional metal cutting (2 classes)
• Non-traditional Machining - EDM, Laser and Waterjet (2 classes)
• Welding (2 classes)
• Design for Manufacturing and Assembly (2 classes)
• Sustainable Manufacturing (2 classes)
• Polymer Part Processing (2 classes)
• Fiber Reinforce Composite Processing (2 classes)
• Exams (2 classes)

• Measurement and Statistical Process Control
• Introduction to SolidCast© - simulating the sand casting process
• Using SolidCast© to design a sand cast mold
• Foundry Practice and Sand Casting
• CNC Machining
• Product reverse engineering to determine manufacturing process
• Surface Roughness measurement

ME 354 - Thermodynamics and Heat Transfer

• Apply mass and energy balances to simple thermodynamic systems
• Apply heat transfer equations to solve problems in cooling of electronic and electrical components, or other applicable problems

• Introductory thermal physics

• Introduction to thermodynamic analysis: system, property, process
• Mass and energy balance equations
• Ideal gas equations of state
• Energy balance for closed and open systems
• Heat transfer mechanisms: introduction
• Conduction
• Convection: forced and natural
• Radiation or heat exchangers (instructor’s choice)

ME 361 - Dynamics of Machinery

• Classify various types of common mechanisms
• Perform position, velocity, and acceleration, and dynamic force analysis on closed loop kinematic chains
• Synthesize plate cam profiles and analyze follower motion

• Engineering dynamics

• Introduction to Kinematics (1 classes)
• Position and Displacement, Loop Closure (4 classes)
• Velocity Analysis (4 classes)
• Acceleration Analysis (4 classes)
• Review of Kinetics (2 classes)
• Dynamic Force Analysis (6 classes)
• Cam Motion Profiles (3 classes)
• Fundamental Law of Gearing, Gear Trains (4 classes)
• Testing and Review (2 classes)

ME 362 - Design of Machinery

• Synthesize four bar linkages
• Apply computer-aided engineering packages to machinery design
• Determine the actuation force or torque required for a mechanism, and select an appropriate actuator
• Determine shaking forces due to dynamic unbalance, and perform static and synamic balancing
• Design flywheels
• Perform dynamic analysis of cam/follower systems

• Machine dynamics

• Fundamentals of dynamics (3 classes)
• Practical considerations, actuators and motors (3 classes)
• Computer-aided engineering (3 classes)
• Linkage synthesis (8 classes)
• Machine Balancing (3 classes)
• Design of Flywheels (3 classes)
• Dynamics of Cams (3 classes)
• Testing and project presentations (4 classes)

• Design of a mechanism

ME 363 - Design of Machine Components

• Calculate factors of safety for ductile and brittle components subjected to static and cyclic loading
• Be familiar with terminology associated with various machine components
• Design or select shafts, journal and rolling-element bearings, spur and helical gears, threaded fasteners, and helical springs

• Mechanics of materials, dynamics of machinery

• Static design (3 classes)
• Traditional tolerances (1 class)
• Static failure criteria (1 class)
• Fatigue failure criteria (3 classes)
• Shafts, including keys and keyways (2 classes)
• Rolling-element bearings (2 classes)
• Spur gears (3 classes)
• Helical gears (2 class)
• Threaded fasteners (4 classes)
• Helical springs (2 classes)
• Testing (2 classes)

• Example problems and design problems covering the class topics, including use of computing tools in design problems

ME 401 - Vibration Control

• Model simple vibratory systems and determine equations of motion
• Solve equations of motion for single degree of freedom systems subject to harmonic, general periodic and arbitrary forcing functions
• Write equations of motion for idealized multi-degree of freedom systems
• Determine natural frequencies and mode shapes for systems with two and three degrees of freedom
• Develop appropriate analytical models for simulation using MATLAB w/ Simulink
• Perform measurements and conduct modal tests on simple systems

• Dynamics
• Calculus
• Differential equations
• Computer programming

• Review: Modeling mechanical systems (3 classes)
• Review: Solving differential equations - analytical, numerical methods (2 classes)
• Free vibration (4 classes)
• Harmonically excited vibration (4 classes)
• Fourier series, periodic functions (2 classes)
• Transient vibration (3 classes)
• Systems with two or more degrees of freedom (4 classes)
• Lagrange’s equation (2 classes)
• Vibration control (2 classes)
• Vibration measurement and applications (2 classes)
• Exams (2 classes)

• Free and Forced vibration demonstration and measurement on 1 and 2 DOF systems

ME 402 - Vehicle Dynamics

• Simulate acceleration and braking performance of common vehicles
• Model the normal road loads acting on vehicles
• Model and simulate suspension forces due to road inputs and steady state cornering forces
• Design and simulate common suspension and steering geometries
• Apply tire properties to vehicle performance

• Kinematics
• Dynamics of systems

• Introduction to modeling and dynamic loads (3 classes)
• Power and traction limited acceleration models (3 classes)
• Braking performance, forces, and systems (3 classes)
• Road loads, aerodynamic drag, and rolling resistance (3 classes)
• Ride and suspension models (3 classes)
• Steady state cornering, forces, and suspension effects (3 classes)
• Analysis of common suspensions (2 classes)
• Analysis of common steering systems (3 classes)
• Properties and construction of tires (3 classes)
• Safety ratings and roll-over propensity (2 classes)
• Review and testing (2 classes)

ME 409 - Experimental Stress Analysis

• Understand concept of stress and strain
• Understand underlying principles in using strain gages
• Mount strain gages, take measurements and analyze the obtained data
• Design strain gage-based transducers for measuring specific loads
• Understand basic principles of photoelasticity, and use it as an analysis tool
• Use sources outside the class notes and text

• Intermediate Mechanics of Materials

• Review of states of stress (2 classes)
• State of Strain at a Point (3 classes)
• Principal Strains and Mohr’s Circle (3 classes)
• Electrical Resistance Strain Gages (3 classes)
• Strain Gage Circuits (3 classes)
• Transducer Design (2 classes)
• Exams (2 classes)

• Strain measurement on a cylindrical pressure vessel
• Strain gage mounting practive
• Strain gage mounting and soldering
• Strain measurements of Lab 3 projects
• Photoelasticity demonstration
• Photoelastic Measuremen

ME 411 - Advanced Topics in Fluid Mechanics

• Complete a design project from conception to completion, i.e.: specifications/goals; literature research; understanding and applying necessary fundamental concepts from fluids, thermodynamics, and heat transfer; CFD analysis; wind tunnel experimental model testing; final analysis and design
• Learn more advanced control volume analysis; the mathematics of potential fluid flow; compressible flow and boundary layers; diffuser design; heat exchanger (radiator) performance
• Learn and apply CFD (Fluent) in conjunction with analysis and experiment in the design process
• Utilize laboratory experimental results as an aid to design

• Fluid mechanics

• Organization, introduction to P-51 Mustang air scoop, library and internet research
• Reynolds transport theorem, fixed and moving control volumes, mass and momentum equations
• Mathematics of potential fluid flow; stream function, velocity potential
• CFD (Fluent): techniques, comparison to analytical solution and wind tunnel test results
• Wind tunnel testing and analysis of model air scoop
• Boundary layer, radiator, diffuser, and propeller performance
• Discuss specifications of final design project
• Design project work
• Oral presentations

• Wind tunnel testing

ME 416 - Thermodynamics Applications

• Analyze Otto and Diesel cycles
• Perform 1st Law analysis of combustion processes
• Perform basic integrated thermal systems design
• Apply 1st and 2nd law to real systems
• Demonstrate the principles of thermodynamics and heat transfer in laboratory experimentation. Experiments will include the analysis of: power cycles and refrigeration cycles, solar photovoltaic systems, solar thermal systems, and cogeneration systems

• First and Second Laws of Thermodynamics
• Ideal gas and incompressible liquid models, steam tables
• Rankine, refrigeration, and Brayton cycles
• Heat transfer- conduction, convection, radiation

• Internal combustion cycles (otto and diesel) cycles
• Reacting mixtures (combustion processes)
• Design project(s)
• Additional topics (compressible flow, cogeneration, psychrometrics, solar energy systems, fuel cells) chosen by instructor

• Internal Combustion Engine analysis
• Combustion analysis
• Refrigeration cycle
• Heat transfer: conduction, convection, radiation
• Cogeneration
• Solar thermal energy systems
• Solar photovoltaic energy systems
• Fuel cells

ME 419 - Internal Combustion Engines

• Understand the general engineering operation and design compromises involved in spark and compression ignition engines
• Be familiar with common I.C. engine terminology such as knock, detonation, auto ignition, surface to volume ratio and compression ratio
• Apply thermodynamics to I.C. engine processes and cycles
• Analyze the engine parameters of friction, torque, MEP, IHP, and bsfc
• Understand the mechanisms of combustion and the effect of air-fuel ratio on performance
• Understand the variables which influence the production of undesirable emissions
• Understand the importance of air flow and how it is affected by valves and by turbochargers

• Thermodynamic cycles and processes
• Combustion chemistry

• Engine types and operation
• Engine parameters
• Engine power cycles
• Inlet and exhaust gas flow
• Combustion - SI engines
• Combustion - CI engines
• Emissions and control

ME 423 - Materials Selection

• Optimize material and shape selection factors
• Screen candidate materials and select suitable choices to fit given application requirements

• Mechanical properties
• Strength and materials
• Heat treatment and properties of ferrous alloys
• Heat treatment and properties of aluminum alloys
• Polymer basics
• Manufacturing processing for metals, polymers, & composites

• Categorization of materials and processes  (3 hours)
• Design process and materials selection (3 hours)
• Identification of design functions constraints and objectives (12 hours)
• Screening selection with multiple constraints (3 hours)
• Influence of shape (6 hours)
• Product characteristics (3 hours)

ME 424 - Engineering with Plastics

• Know fundamentals of redesigning a metal part using a polymer
• Know the fundamental mechanical properties of polymers
• Interpret resin manufacturer’s data sheets
• Analyze components and structures fabricated from polymers from a mechanical design viewpoint
• Predict the mechanical performance of parts fabricated from polymers and composites
• Select the most desirable manufacturing process and a suitable polymer for producing a given component
• Be familiar with ASTM test standards

• Mechanical & physical properties of materials
• Basic mechanics of materials

• Classification and description of polymers (6 classes)
• Properties of polymers (3 classes)
• Processing of polymers (3 classes)
• Polymer design criteria and considerations (2 classes)
• Applications of polymers (such as creep, wear, friction, damping, etc.) (5 classes)
• Fiber-reinforced composites, macroscopic composites (5 classes)
• Structural and component analysis (3 classes)
• Tests (3 classes)

ME 429 - Composite Materials

• Be familiar with indicial notation
• Transform tensor quantities from one coordinate system to another
• Compute stresses and strains for composite laminates subjected to in-plane, bending, and thermal loads
• Apply different failure criteria to predict laminate failures
• Be familiar with the most commonly-used manufacturing processes of composite structures
• Be familiar with aerospace, automotive, recreational, and industrial applications of composite materials
• Be familiar with several standard test methods of composite laminates

• Mechanics of materials

• Introduction to composite materials (1 class)
• Indicial notation, matrices, and tensors (4 classes)
• Mechanics of a composite lamina (3 classes)
• Extensional behavior of a symmetric laminate (3 classes)
• Failure criteria (3 classes)
• Bending behavior of a symmetric laminate (2 classes)
• Thermal stresses in a symmetric laminate (2 classes)
• Mechanical behavior of general laminates (3 classes)
• Manufacturing processes (4 classes)
• Test methods (4 classes)
• Testing lab demonstration (1 class)
• Review and examinations (3 classes)

ME 431 - Automatic Control Systems

• Use Laplace transformation and selected linearization techniques
• Develop mathematical models of selected systems
• Determine system stability using the Routh and root locus techniques
• Determine steady state errors due to reference and disturbance inputs
• Make root locus plots and use them as appropriate to evaluate system transient response characteristics
• Construct and analyze Bode plots

• Differential Equations
• System Dynamics

• Introduction (2 classes)
• Mathematical Models of Systems (3 classes)
• State Variable Models (3 classes)
• Feedback Control Systems Characteristics (2 classes)
• The Performance of Feedback Control Systems (3 classes)
• The Stability of Linear Feedback Systems (3 classes)
• The Root Locus Method (4 classes)
• Frequency Response Methods (4 classes)
• Stability in the Frequency Domain (3 classes)
• Final Exam (1 class)

• Laboratory orientation
• RLC step input modeling
• RLC dynamic measurements
• Valve steady state PQ characteristics
• Dynamic valve characteristics
• Rotary speed control simulation
• Rotary speed control
• Rotary speed control
• Cylinder position control operation

ME 431A - Automatic Control Systems (Lecture Only)

• Use Laplace transformation and selected linearization techniques
• Develop mathematical models of selected systems
• Determine system stability using the Routh and root locus techniques
• Determine steady state errors due to reference and disturbance inputs
• Make root locus plots and use them as appropriate to evaluate system transient response characteristics
• Construct and analyze Bode plots

• Differential Equations
• System Dynamics

• Introduction (2 classes)
• Mathematical Models of Systems (3 classes)
• State Variable Models (3 classes)
• Feedback Control Systems Characteristics (2 classes)
• The Performance of Feedback Control Systems (3 classes)
• The Stability of Linear Feedback Systems (3 classes)
• The Root Locus Method (4 classes)
• Frequency Response Methods (4 classes)
• Stability in the Frequency Domain (3 classes)
• Final Exam (1 class)

• Laboratory orientation
• RLC step input modeling
• RLC dynamic measurements
• Valve steady state PQ characteristics
• Dynamic valve characteristics
• Rotary speed control simulation
• Rotary speed control
• Rotary speed control
• Cylinder position control operation

ME 431B - Automatic Control Systems (Lab Only)

• Use Laplace transformation and selected linearization techniques
• Develop mathematical models of selected systems
• Determine system stability using the Routh and root locus techniques
• Determine steady state errors due to reference and disturbance inputs
• Make root locus plots and use them as appropriate to evaluate system transient response characteristics
• Construct and analyze Bode plots

• Differential Equations
• System Dynamics

• Introduction (2 classes)
• Mathematical Models of Systems (3 classes)
• State Variable Models (3 classes)
• Feedback Control Systems Characteristics (2 classes)
• The Performance of Feedback Control Systems (3 classes)
• The Stability of Linear Feedback Systems (3 classes)
• The Root Locus Method (4 classes)
• Frequency Response Methods (4 classes)
• Stability in the Frequency Domain (3 classes)
• Final Exam (1 class)

• Laboratory orientation
• RLC step input modeling
• RLC dynamic measurements
• Valve steady state PQ characteristics
• Dynamic valve characteristics
• Rotary speed control simulation
• Rotary speed control
• Rotary speed control
• Cylinder position control operation

ME 433 - Electromechanical Systems

• Develop mathematical models of electromechnical components and systems
• Evaluate and select sensors and electrical circuit components
• Formulate and evaluate analog and digital controllers
• Specify and evaluate state feedback algorithms
• Design an electomechanical system to achieve specified performance objective
• Determine component and system-wide frequency response characteristics
• Develop frequency response design tools

• Laplace transforms
• Feedback control systems
• Numerical methods

• DC motor modeling (3 classes)
• Analog component selection (2 classes)
• Z-transforms (5 classes)
• Difference equations (5 classes)
• State feedback (3 classes)
• Z-domain root locus design (5 classes)
• Digital system effects (2 classes)
• Advanced topics (2 classes)
• Review and testing and comprehensive final exam (5 classes)

• Analog control circuit design
• Electric motor characteristics
• Discrete equivalent PID controller implementation
• Electromechanical design and simulation

ME 460 - Finite Element Methods

• Understand steps involved in FEA analysis
• Understand how finite element equations are developed from both equilibrium and energy methods
• Solve simple FE problems by hand
• Understand why certain element types are used for different types of analyses
• Be familiar with the use of a commercial general-purpose FEA package
• Understand how FEA can be used in the design process

• Mechanics of materials, statics, integral and differential calculus

• Overview of method (1 class)
• Review of matrix methods (1 class)
• Spring elements (2 classes)
• Truss elements (2 classes)
• Potential energy approach (5 classes)
• Beam element (3 classes)
• Constant strain triangle element (4 classes)
• Heat transfer application (2 classes)
• Interpretation of results & mesh design (2 classes)
• Discussion of symmetry and boundary conditions (2 classes)
• Overview of commercial software (1 class)
• Advanced element formulations (3 classes)

• Introduction to FE program (with simple 1-D truss element)
• Stress concentration in a plate with a hole
• 3-D truss analysis
• 1D cubic beam bending of a frame analysis
• Plane stress analysis with two-dimensional continuum elements
• Plate analysis
• Mesh design & refinement
• 2D steady-state heat transfer, thermal analysis and/or torsion
• Solid modeling input to FE commercial software
• Design project

ME 471 - Fluid Power Circuits

• Size hydraulic components based on steady state requirements
• Read a hydraulic schematic to determine the function of the circuit
• Design a hydraulic circuit based on input requirements and standard components
• Select pump controls to minimize energy consumption

• None

• Introduction to hydraulic systems design (1 class)
• Hydraulic cylinders (2 classes)
• Fluid mechanics and cavitation in hydraulic systems (2 classes)
• Pumps and pump controls (3 classes)
• Motors and hydrostatic transmissions (3 classes)
• Pressure Control Valves (3 classes)
• Flow Control Valves (4 classes)
• Directional Control Valves (4 classes)
• Hydraulic Accumulators (2 classes)
• Filtration (1 class)
• Hydraulic fluids and reservoirs (2 classes)
• Review and testing + comprehensive final exam (4 classes)

ME 472 - Modeling and Simulation in the Design of Hydraulic Components

• Linearize equations to develop linear models
• Develop steady state models of pumps and valves
• Develop dynamic models of the pumps and valves
• Combine component models to form system models
• Solve the developed models to determine pressure and flow responses in hydraulic circuits

• Fluid Power Circuits

• Introduction to modeling and simulation (1 class)
• Linearization of equations (1 class)
• Effective bulk modulus and dynamic continuity (1 class)
• Steady state modeling of pumps (2 classes)
• Steady state modeling of pressure and flow control valves (2 classes)
• Steady state modeling of direction valves (4 classes)
• Dynamic modeling of hydraulic pumps (1 class)
• Dynamic modeling of pressure control valves (1 class)
• Dynamic modeling of directional control valves (2 classes)
• Dynamic modeling of hydraulic accumulators (1 class)
• Review and testing (4 + comprehensive final exam) (5 classes)
• Literature paper review, analysis and presentation (2 classes)

• Steady state model of an axial piston pump, relief valve, and directional control valve
• Dynamic model of an axial piston pump, pressure compensated
• Dynamic modeling of hydraulic cylinder cushions
• Modeling the effects of fluid compressibility, air entrainment and mechanical compliance on effective fluid bulk modulus
• Dynamic response of a hydraulic cylinder and directional control valve subjected to an overrunning load
• Steady state performance of proportional valve correlated to a linear valve model

ME 475 - Design of Fluid Power Circuits

• Size hydraulic components based on steady state and dynamic requirements
• Work as a team member to achieve a specific objective
• Design a hydraulic circuit based on input requirements and standard components
• Interface hydraulics with mechanical and electrical systems
• Execute a project plan to achieve a specific objective

• None 

• Design of XY positioning table using electrohydraulics
• Design of a natural control system for an excavator
• Design of an articulated excavator for open and closed loop control using electrohydraulics
• Design of pulsed jet intensifier

• Integrated into the project during the fabrication phases or as part of specific tests for the prototype machine

ME 480 - HVAC Systems Design

• Do a heating and cooling load calculation for a building
• Evaluate the psychrometric processes involved in heating and cooling a building
• Make appropriate choices for heating and cooling equipment
• Utilize a commercially-available software package (Carrier E20-II) to simulate the HVAC system for a building

• Energy Balance

• Psychrometric analysis
• System types
• Heating and cooling load analysis
• Air distribution and duct sizing
• Water systems
• Equipment and control system selection
• Supervised Design Project work

ME 481 - Aerodynamics

• Have a thorough understanding of fluid flows over bluff and streamlined bodies, including potential flow results, circulation, boundary layers, transition, and experimental results
• Choose an airfoil and apply lift, drag, and moment coefficients to a design, and to be able to measure these coefficients experimentally
• Make thin airfoil and finite airfoil calculations
• Make airplane stability and trim calculations
• Have an introduction to automobile aerodynamics

• Incompressible flow, Bernoulli equation
• Laminar and turbulent flows, Reynolds number, viscosity
• Boundary layers
• Integral calculus

• Review of fluids, non-dimensionalization, boundary layer, friction
• 2-D flow over cylinders and airfoils
• Movies and laboratory experiments
• Airfoil terminology, characteristics, and physical flow description, modern airfoil developments, high lift devices
• Thin airfoil theory
• Finite airfoil
• Stability and control
• Propellers, vortex motion, model airplanes
• Automotive applications

• Wind tunnel measurements of formula car drag coefficient and airfoil lift, drag, and moment coefficients and instrumentation

ME 485 - Energy Systems Design Project

• Utilize a design methodology, including creative synthesis of solutions; evaluation of solutions based on criteria and constraints; sensitivity analysis; choice of “best” design
• Work effectively as part of a team
• Work with deadlines
• Communicate ideas
• Defend his/her decisions

• Thermodynamics
• Fluid mechanics
• Heat Transfer

• Outline of design process; project assignments (1 class)
• Problem statement (1 class)
• Literature search techniques (1 class)
• Brainstorming/list of solutions (1 class)
• Criteria and constraints/criterion function (2 classes)
• Sensitivity analysis (1 class)
• Oral presentation guidelines (1 class)
• Report writing guidelines (1 class)
• Oral presentations (3 classes)
• Team meetings with instructor (4 classes)
• Team project work (3 classes)

ME 490 - Senior Design I

• Have written a detailed design proposal for the major design experience
• Have researched trade and professional literature, patents, codes, and specifications related to the topic of the design proposal
• Have made an oral presentation of proposed design efforts to the advisors
• Have addressed possible societal and environmental impacts of their project

• None, although students are required to select a project for which they have sufficient expertise

• Team formation and project expectations (1 class)
• The design process (1 class)
• Work place safety (1 class)
• Patents and intellectual property (1 class)
• Library research (1 class)
• Project management (1 class)
• Reliability and safety (1 class)
• Design for manufacturability (1 class)
• Proposal Preparation (1 classes)
• Professional Development (1 class)

ME 491 - Senior Design II

• Have designed a mechanical or thermal system in a team setting
• Have prepared a formal design report
• Have made an oral presentation of design efforts to the class
• Have made an oral presentation in defense of his or her design work

• None

• Organizational Meeting (1 class)
• Report writing (1 class)
• Geometric Dimensioning and Tolerancing (1 class)
• Design group presentations (7 classes)

ME 492 - Senior Design III

• Have designed a mechanical or thermal system in a team setting
• Have prepared a formal design report
• Have made a poster presentation in defense of his or her design work

• None

• Organizational Meeting (2 classes)
• Supervised design and prototyping work

ME 498 - Topics in Mechanical Engineering

• Have studied an engineering topic of special interest

• Varied

• Varied

ME 499 - Independent Study

• Have studied an engineering topic of special interest

• None

• To be determined by the faculty supervisor

ME 1001 - Mechanical Engineering Freshman Seminar

• Understand the Mechanical Engineering curriculum at MSOE
• Understand the role of Mechanical Engineering as related to contemporary issues
• Recognize potential societal and environment impacts of an engineering project
• Recognize the importance of professional and personal ethics
• Understand the role of professional societies

• None

• Introduction to the Engineering Profession/ME Curriculum (1 class)
• Professional/Technical Societies (1 class)
• Professional Speakers covering contemporary issues, careers in ME, ethical issues, etc. (6 classes)

ME 1301 - Introduction to Mechatronics

• Have applied concepts of structured programming in the control of electromechanical systems.
• Have implemented computer-based data acquisition systems. 
• Write technical journal entries recording engineering activities.

• Programming

• Programming with the Arduino Microcontroller
• Digital I/O
• Analog I/O, A/D and D/A conversion
• Linear Calibration and Servo Motor Control
• Control of Stepper Motors
• Introduction to Robotics
• Design Projects

ME 1601 - Introduction to Engineering Design

• Understand a formal design process as used in mechanical engineering
• Generate 2-D engineering drawings
• Generate solid models of parts and assemblies

• None

• Sketching (2 classes)
• Part Modeling (6 classes)
• 2D Engineering Drawings (2 classes)
• Parametric Modeling Techniques (2 classes)
• Assembly Models (1 class)
• Assembly Drawings (1 class)
• Surface Part Models (1 class)
• The Design Process (4 classes)
• Testing and Review (1 class)

• Solid Modeling of Parts (Extrusions/Revolves)
• Generation of Engineering Drawings
• Solid Modeling of Parts (Loft/Shell/Sweep)
• Solid Modeling of Assemblies
• Engineering Design Project

ME 2001 - Mechanics I

4 lecture hours 0 lab hours 4 credits

• Draw free body diagrams for static systems
• Perform 2-D equilibrium analysis using scalar analysis
• Perform 3-D equilibrium analysis using vector analysis
• Determine internal forces and/or moments in trusses, frames, beams, and machine components
• Draw shear force and bending moment diagrams

• Scalars and Vectors
• Forces and Moments
• Differentiation
• Engineering Problem Formulation and Solving Approach
• Engineering Design and Model Development
• Numerical Methods
• Graphical Communication

• Forces, Vectors and the Resultant
• Forces in Space
• Vector Products
• Equilibrium of Particles in 2-D and 3-D
• Moment of a Force
• Couples, System of Forces
• Two & Three-Force Bodies
• Equilibrium of Rigid Bodies in 2-D and 3-D
• Analysis of Trusses, Frames, and Machines
• Distributed Forces & Internal Forces
• Shear Force & Bending Moment Diagrams

ME 2002 - Mechanics II

ME 2003 - Mechanics III

• Friction
• Flat belts
• Location of centroids
• Evaluation of area and mass moments of inertia
• Kinematics and kinetics
• Impulse and momentum of particles (rectilinear and curvilinear motion)

ME 2004 - Mechanics of Materials I

• Determine stresses resulting from axial, bending, torsion, and transverse loading
• Apply Hooke’s Law for materials with linear stress-strain behavior
• Determine the stress state in a member resulting from combinations of loads
• Determine principal stresses for a state of plane stress
• Determine beam deflections
• Be familiar with the Euler buckling load for columns of various end conditions

• Statics
• Integral calculus
• Differential calculus

• Review of statics, reactions, and internal loads, basic axial stress and 1D Hooke’s Law
• Axial stress concentrations, axial deformation, and mechanical properties of materials
• Poisson’s ratio, Shear stress and strain, 3D Hooke’s Law, and Plane stress and Strain
• Stress on an inclined surface and stress transformation
• Mohr’s circle for plane stress principle stresses, maximum shearing stresses, principle planes, and planes of maximum shear
• Statically indeterminate axial members, torsion, angle of twist, and power transmission
• Simple bending (flexural formula), trasnverse shear, built-up sections (shear flow)
• Combined loading
• Beam deflection
• Buckling, buckling stress, slenderness ratio, and effective length

ME 2101 - Principles of Thermodynamics I

• To Be Determined

• Multivariable Calculus

• To Be Determined

ME 3005 - Mechanics of Materials II

• Determine principal stresses in 3D state of stress
• Analyze member subject to temperature change
• Determine stresses in thick and thin-walled pressure vessels
• Use failure theories under static loading
• Use fatigues failure criteria for members subject to fluctuating loads

• Mechanics of Materials I

• Introduction to Workbench
• Secant formula
• Design of concentric and eccentric column
• Thermal stress and strain
• 3D deformation
• Normal and shear strains
• 3D stress
• Thin-walled pressure vessels
• Polar coordinates
• Thick-walled pressure vessels
• Torsion of non-circular cross-sections
• Circular plates
• 3D principle stresses
• Tresca and Von Mises failure criterion
• Columb-Mohr failure criterion
• Fully reversed fatigue
• S-N cure prediction
• Effect of fluctuating stresses

• Pressure vessel
• Deflection of a Statically Indeterminate Beam
• Non-Circular Torsion
• Stresses in a Plate

ME 3102 - Principles of Thermodynamics II

3 lecture hours 0 lab hours 3 credits

• To Be Determined

• Multivariable calculus
• First-law analysis of open and closed systems
• Thermodynamic properties

• The 2nd Law of Thermodynamics
• Entropy and the 2nd Law
• Exergy and the 2nd Law
• Gas power cycles (Brayton Cycle)
• Brayton cycle modifications
• Vapor power cycles (Rankine)
• Modifications to the Rankine cycle
• Refrigeration cycles

ME 3103 - Fluid Mechanics I

• To Be Determined

• Dynamics
• Multivariable Calculus
• Differential Equations
• Thermal Physics (at college sophomore level)

• To Be Determined

ME 3104 - Fluid Mechanics II

• To Be Determined

• Introductory Fluid Mechanics

• To Be Determined

ME 3105 - Applied Thermodynamics

3 lecture hours 2 lab hours 4 credits

• To Be Determined

• Multivariable calculus
• Differential equations
• 1st law analysis
• 2nd law analysis
• Power and refrigeration cycles, heat transfer

• Internal combustion engine cycles
• Thermodynamic property relations
• Gas mixtures
• Psychrometrics
• Combustion
• Introduction to renewable energy

ME 3301 - Instrumentation

• To Be Determined

• Electrial circuits
• System dynamics

• To Be Determined

ME 3650 - Systematic Engineering Design

• To Be Determined

• Junior Standing

ME 4220 - Fatigue and Fracture in Mechanical Design

• Understand the distinction between “high” cycle versus “low” cycle fatigue problems and correctly choose an appropriate analysis method for a design problem
• Understand cyclic plastic strain behavior and be able to apply mathematical models for cyclic plastic strain to design problems
• Apply strain-life methods for low cycles fatigue
• Combine notch-strain analysis with low cycle fatigue analysis for component life predictions
• Understand basic concepts in Linear Elastic Fracture Mechanics (LEFM)
• Apply basic LEFM models to problems in 1) fracture of metals, 2) fatigue crack growth rate and 3) fail safe design

• Stress-Life approach to fatigue problems
• Mechanics of Materials

• Review - Fatigue basics, Stress-Life Diagrams, Stress Concentrations, Notch Sensitivity, Mean Stress Effects
• Multi-axial States of Stress
• Variable Amplitude Load Histories
• Low cycle fatigue (Plastic strain cycling, 2 to 1000 cycle life)
• Cyclic Stress-strain Curves & Plastic Strain-life Diagrams (ε-N diagrams)
• Notch Strain Analysis, Neuber’s Rule
• Microscopic/Material Aspects of Fatigue, Fracture Mechanics (LEFM, Linear Elastic Fracture Mechanics) Stress Intensity Factor & Plane Strain Fracture Toughness
• LEFM and  Fatigue Crack Growth Rate
• Failure Analysis - Observations on Failed Parts
• “Fail Safe” Design Practices

ME 4302 - Automatic Control Systems

• To Be Determined

• System dynamics
• Instrumentation

ME 4302A - Automatic Control Systems (Lecture Only)

• To Be Determined

• System dynamics
• Instrumentation

ME 4302B - Automatic Control Systems (Lab Only)

• System dynamics
• Instrumentation