# Department of Mathematics Syllabus

This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.

## MAT 21D: Vector Analysis

Approved: 2007-04-01 (revised 2013-01-01, J. DeLoera)
ATTENTION:
This course is part of the inclusive access program, in which your textbook and other course resources will be made available online. Please consult your instructor on the FIRST DAY of instruction.
Suggested Textbook: (actual textbook varies by instructor; check your instructor)
Thomas' Calculus Early Transcendentals, 15th Edition by Joel R. Hass; Christopher E. Heil; Maurice D. Weir; Przemyslaw Bogacki; Pearson Publishers.
Prerequisites:
(MAT 021C C- or better or MAT 021CH C- or better) or MAT 017C B or better. Continuation of MAT 021C.
Suggested Schedule:
 Lecture(s) Sections Comments/Topics 1 15.1 Double and Iterated Integrals Over Rectangles 1.5 15.2 Double Integrals Over General Regions 0.5 15.3 Area by Double Integration 1 15.4 Double Integrals in Polar Form 1 15.5 Triple Integrals in Rectangular Coordinates 1 15.6 Moments and Centers of Mass 1 15.7 Triple Integrals in Cylindrical and Spherical Coordinates 2 15.8 Substitutions in Multiple Integrals 1 12, 13.1, 13.2 Review of Vectors 1 13.3 Arc Length in Space 1.5 13.4 Curvature and Normal Vectors of a Curve 0.5 13.5 Tangential and Normal Components of Acceleration 1 16.1 Line Integrals 2 16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux 1 16.3 Path Independence, Conservative Fields. Potential Functions 2 16.4 Green’s Theorem in the Plane 2 16.5 Surfaces and Area 1 16.6 Surface Integrals 2 16.7 Stokes’ Theorem 2 16.8 The Divergence Theorem and a Unified Theory