# MATH 2E Multivariable Calculus (2013-2014)

#### MATH 2E Multivariable Calculus

**MATH 2E Multivariable Calculus (Credit Units: 4)** The differential and integral calculus of vector-valued functions. Implicit and inverse function theorems. Line and surface integrals, divergence and curl, theorems of Greens, Gauss, and Stokes. Prerequisite: MATH 2D. Mathematics 2E and H2E may not both be taken for credit. School of Physical Sciences and School of Engineering majors have first consideration for enrollment. . (Design units: 0)

- Double Integrals
- Triple Integrals
- Polar, Cylindrical and Spherical Coordinate Integrals
- Change of Variables in Multiple Integrals
- Vector Fields
- Line Integrals
- Fundamentals Theorem for Line Integrals
- Greens Theorem
- Curl and Divergence
- Parametric Surfaces
- Surface Integrals
- Stoke's Theorem
- Divergence Theorem

Meets for 3 hours of lecture and 2 hours of discussion each week for 10 weeks.

Option 1: * Quizzes: 15% * Midterms: 35% * Final Exam: 50% * Total: 100%

Option 2: * Homework: 10% * Quizzes: 10% * Midterms: 40% * FInal Exam: 40%

Mathematics and Basic Science: 0.0 credit units

Computing: 0.0 credit units

Engineering Topics: 0.0 credit units

Engineering Science: 0.0 credit units

Engineering Design: 0.0 credit units