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Multivariable Calculus (MATH 2220)
Total Credits:
5
Lecture Credits:
5
Description:
This course covers algebra and geometry of vectors in two and three-dimensional space; velocity, acceleration and curvature; functions of several variables; partial derivatives and chain rule; max/min problems; Lagrange multipliers; double and triple integrals; parametric form of curves and surfaces; polar, cylindrical and spherical coordinates; integration on curves and surfaces; vector fields; theorems of Green and Stokes; and Divergence Theorem.
Topical Outline:
1. Vector functions
2. Partial derivatives
3. Multiple integrals
4. Vector calculus
Learning Outcomes:
1. Summarize the definitions of vector functions, partial derivatives, and multiple integrals
2. Find partial derivatives and solve applications involving partial derivatives
3. Find multiple integrals and solve applications involving multiple integrals
4. Solve applications involving the topics and major theorems of vector calculus
Prerequisites:
MATH 1190