Jul 08, 2020
 HELP 2019-2020 Undergraduate Academic Catalog [ARCHIVED CATALOG] Print-Friendly Page (opens a new window)

# 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