Aug 03, 2024
 HELP 2020-2021 Undergraduate Academic Catalog [ARCHIVED CATALOG] Print-Friendly Page (opens a new window) Add to Portfolio (opens a new window)

# MA 2323 - Calculus IV

3 lecture hours 0 lab hours 3 credits
Course Description
This course is a continuation of MA 2314 and an introduction to multivariate calculus. Topics include surfaces in three dimensions, partial derivatives, double and triple integrals with applications to areas, volumes, and moments.  (prereq: MA 2314 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• Sketch surfaces in three dimensions
• Find first and second partial derivatives
• Find the total differential of a function of more than one variable and use it to approximate error
• Use chain rules to find derivatives and partial derivatives
• Find implicit partial derivatives
• Determine the maximum, minimum, and saddle points on a surface
• 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

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
• Polar coordinates

Course Topics
• Surfaces in three dimensions
• Functions of several variables
• Partial derivatives
• Extrema of functions of two variables
• Double integrals, area, volume, and moments
• Triple integrals, volume, moments, cylindrical and spherical coordinates

Coordinator
Edward Griggs

Add to Portfolio (opens a new window)