Nov 20, 2019  
2019-2020 Undergraduate Academic Catalog 
    
2019-2020 Undergraduate Academic Catalog
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MA 3501 - Engineering Mathematics I

4 lecture hours 0 lab hours 4 credits
Course Description
This course provides topics to bridge the technical calculus sequence to the university’s calculus sequence. Topics include vector algebra; review of single variable calculus, including differentiation of elementary functions, the mean value theorem, antiderivatives, and definite integrals; selected methods of integration including partial fractions decomposition; functions of several variables including partial differentiation and multiple integration in cylindrical and spherical coordinates. (prereq: one year of technical calculus or equivalent)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Differentiate and integrate elementary functions
  • Evaluate improper integrals on an infinite interval
  • Integration by partial fractions decomposition
  • Evaluate partial derivatives of functions of multiple variables
  • Use the chain rule to find derivatives of functions of multiple variables
  • Evaluate the total differential to estimate change in a function of multiple variables
  • Evaluate double integrals in rectangular and polar coordinates
  • Evaluate triple integrals in rectangular, cylindrical, and spherical
  • Perform operations using vector algebra
  • Evaluate dot and cross products of vectors
  • Find equations of planes in three dimensions
  • Parameterize lines in three dimensions
  • Solve geometric problems involving lines and planes

Prerequisites by Topic
  • Differentiation of trigonometric, inverse trigonometric, exponential and logarithmic functions.
  • Basic integration including substitution.

Course Topics
  • Review of differentiation of elementary functions
  • The mean value theorem
  • Review of antiderivatives and basic integration techniques, definite integrals, and the fundamental theorem of calculus
  • Improper integrals on an infinite interval
  • Integration by partial fractions decomposition
  • Functions of two or more variables
  • Partial differentiation, the chain rule, and the total differential
  • Double integrals in rectangular and polar coordinates
  • Triple integrals in rectangular, cylindrical, and spherical
  • Three-dimensional coordinate systems
  • Vector algebra including dot and cross products of vectors
  • Lines and planes in three-dimensional space

Coordinator
Dr. Bruce O’Neill



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