
MA 137  Calculus II4 lecture hours 0 lab hours 4 credits Course Description This course is a continuation of MA 136 and an introduction to integral calculus. Topics include Newton’s method, differentials, basic integrals involving algebraic, trigonometric, exponential, logarithmic and inverse trig functions. Topics also include rectilinear motion, areas and volumes of revolution, integration techniques such as integration by parts and partial fractions, and numerical integration methods. (prereq: MA 136 ) 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
 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
 Integration by parts
 Integration of products and powers of trig functions
 Integration using partial fractions
 Integration using trigonometric substitutions
 Integration using tables
 Numerical integration
Coordinator Yu Hin (Gary) Au
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