2024-2025 Yavapai College Catalog 
    
    Oct 08, 2024  
2024-2025 Yavapai College Catalog

MAT 241 - Calculus III

MAT 2241.
Description: Multivariable calculus. Includes multiple integration, partial differentiation, optimization, vector calculus, line integrals, and parametric curves.

Prerequisites: MAT 230  

General Education Competency: Quantitative Literacy

Credits: 4
Lecture: 4
Lab: 0

Course Content:
  1. Vectors
  2. Planes and surfaces
  3. Cylindrical and spherical coordinates
  4. Functions of several variables
  5. Partial differentiation
  6. Optimization
  7. Multiple integration
  8. Integration techniques
  9. Vector calculus

Learning Outcomes:
  1. Solve problems using vectors in 3-space. (1)
  2. Use equations of planes and surfaces to solve problems. (2) 
  3. Solve problems using cylindrical and spherical coordinate systems. (3)
  4. Compute partial derivatives. (4,5)
  5. Compute extremes of functions of two variables. (4-6)
  6. Compute differentials, directional derivatives, gradients, and tangent planes. (4-6)
  7. Integrate multiple integrals. (7,8)
  8. Solve applied problems requiring multiple integrals. (8,9)
  9. Define and identify vector fields. (9)
  10. Compute line and surface integrals. (9)
  11. Use Divergence, Curl, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. (9)