MATH 2E Multivariable Calculus (2017-2018)

MATH 2E Multivariable Calculus

(Required for AE, BME, CE, ChE, EE, EnE, ME and MSE.)
Catalog Data:

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)

Required Textbook:
. Edition, , 1969, ISBN-13 978-1305272354.

Recommended Textbook:
Relationship to Student Outcomes
No student outcomes specified.
Course Learning Outcomes. Students will:
Prerequisites by Topic
Lecture Topics:
  • 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
Class Schedule:

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

Computer Usage:
Laboratory Projects:
Professional Component
Design Content Description
Laboratory Portion:
Grading Criteria:

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

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

Estimated ABET Category Content:

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

February 22, 2017
Senate Approved:
April 19, 2013
Approved Effective:
2013 Fall Qtr