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Nov 11, 2024
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MA 2323 - Calculus IV3 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
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