
MA 232  Calculus IV3 lecture hours 0 lab hours 3 credits Course Description This course is a continuation of MA 231 and an introduction to multiple integration and infinite series. Topics include double and triple integrals with applications to areas, volumes and moments, infinite series with tests for convergence, power series, Taylor and Maclaurin series, and operations with series. (prereq: MA 231 ) Course Learning Outcomes Upon successful completion of this course, the student will be able to:
 Set up and evaluate double integrals using rectangular and polar coordinates
 Find areas, volumes, and moments using double integrals
 Set up and evaluate triple integrals
 Use triple integrals to find volumes and moments of solids
 Use integrals in cylindrical or spherical coordinates to find volumes and moments
 Test sequences for convergence and divergence
 Test infinite series for convergence and divergence
 Find the interval of convergence for a power series
 Perform algebraic and calculus operations on power series
 Use Taylor and Maclaurin series to approximate functions
Prerequisites by Topic
 The basic principles of algebra
 The basic principles of trigonometry
 Differentiation and integration of algebraic and transcendental functions
 Applications of integration
 Integration techniques
 L’Hȏpital’s Rule
 Functions of several variables
 Partial derivatives
 Limits and improper integrals
 Parametric equations
 Polar coordinates
Course Topics
 Double integrals, area, volume, and moments
 Triple integrals, volume, moments, cylindrical and spherical coordinates
 Sequences
 Infinite series and tests for convergence
 Power series and intervals of convergence
 Taylor and Maclaurin series
Coordinator Edward Griggs
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