Mar 28, 2024  
2021-2022 Undergraduate Academic Catalog 
    
2021-2022 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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MA 137A - Calculus II

4 lecture hours 1 lab hours 4 credits
Course Description
This course is the same as MA 137 . The ‘A’ designation after the course number indicates there are extra math lab hours built in as a requirement for successful completion of the course. (prereq: MA 136  and consent of instructor)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Use Newton’s method to approximate the zeros of a function
  • Find the differential of a function and use it to approximate error
  • Integrate algebraic, exponential, trigonometric, logarithmic, and inverse trigonometric functions
  • Evaluate a definite integral by the limit of Riemann sums
  • Evaluate a definite integral by Fundamental Theorem of Calculus
  • Use method of substitution to find indefinite and definite integrals
  • Use method of integration by parts
  • Integrate products and powers of trigonometric functions
  • Integrate functions using partial fractions
  • Find areas between curves
  • Find volumes of solids of revolution using disk and washer methods
  • Use integration to solve work problems

Prerequisites by Topic
  • Graphing of functions
  • Derivatives of algebraic, exponential, trigonometric, inverse trig, and logarithmic functions
  • Limits of algebraic and trigonometric functions
  • Implicit derivatives
  • Graphing using relative extrema

Course Topics
  • Newton’s method of approximating zeros of a function
  • Differentials
  • Area problem and indefinite integrals 
  • The definite integral as the limit of Riemann sums and the Fundamental Theorem of Calculus
  • Integration by substitution 
  • Areas between curves
  • Rectilinear motion
  • Volumes by disk and washers
  • Work
  • Integration by parts
  • Integration of products and powers of trig functions
  • Integration using partial fractions
  • Integration using trigonometric substitutions (optional)
  • Numerical integration

Coordinator
Dr. Kseniya Fuhrman



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