Apr 20, 2024  
2015-2016 Undergraduate Academic Catalog 
2015-2016 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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MA 137A - Calculus for Engineers II

4 lecture hours 0 lab hours 4 credits
Course Description
This course is a continuation of MA 137 . The ‘A’ designation after the course number indicates this is a special section taught by our Learning Resource Center staff. There are extra math lab hours built in as a requirement for successful completion of the course. (prereq: None) 
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 and 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
  • Integrate functions by using trigonometric substitution
  • Find areas between curves
  • Find volumes of solids of revolution using disk and washer methods

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 (1 class)
  • Differentials (1 class)
  • Area problem and indefinite integrals (6 classes)
  • The definite integral as the limit of Riemann sums and the Fundamental Theorem of Calculus (3 classes)
  • Integration by substitution ( 5 classes)
  • Areas between curves (2 classes)
  • Rectilinear motion (1 class)
  • Volumes by disk and washers (2 classes)
  • Integration by parts (3 classes)
  • Integration of products and powers of trig functions (2 classes)
  • Integration using partial fractions (3 classes)
  • Integration using trigonometric substitutions ( 1 class)
  • Integration using tables (2 classes)
  • Numerical integration (2 classes)
  • Review and tests (6 classes)

Gina Moran

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