Nov 11, 2024  
2022-2023 Undergraduate Academic Catalog 
    
2022-2023 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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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



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