Description
Focuses on multivariable and vector calculus, including: vector fields, gradients, curl, divergence, optimization, double and triple integrals in rectangular, polar, cylindrical, and spherical coordinate systems, line and surface integrals, Green's Theorem, Divergence Theorem, Stokes' Theorem.
Grading Basis
Graded
Prerequisites
MATH&153 with a grade of C (2.0) or better or appropriate assessment score
Course Learning Outcomes
Core Topics
- Differentiation, limits, and integration with multivariable functions
- Calculating the directional derivative and gradient vector
- Determining local and absolute optimal points for functions of several variables.
- The method of Lagrange multipliers for optimization of a constrained system.
- Evaluation double integrals over rectangles and regions using rectangular and polar coordinates.
- The use of integration in rectangular and polar coordinate systems to determine surface area.
- Evaluation of triple integrals in rectangular, cylindrical, and spherical coordinates
- Working application problems using double and triple integrals.
- Level curves and associated gradient fields.
- Calculating, sketching, and interpreting vector fields.
- Determining curl and divergence of a vector field
- Evaluation of line and surface integrals
- Conservative vector fields and the Fundamental Theorem of Line Integrals.
- Green's, Stokes', and Divergence Theorems