# 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 21C: Calculus: Partial Derivatives and Series

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 George B. Thomas, Maurice Weir, and Joel Hass; Addison Wesley Publishers; \$150.00-216.00.
Prerequisites:
MAT 016C C- or better or MAT 017C C- or better or MAT 021B C- or better or MAT 021BH C- or better or MAT 017B B or better
Suggested Schedule:
 Lecture(s) Sections Comments/Topics 1 10.1 Sequences 1 10.2 Infinite series 1 10.3 The integral test 1.5 10.4 Comparison tests 1.5 10.5 The ratio and root tests 1 10.6 Alternating series, absolute and conditional convergence 1 10.7 Power series 1 10.8 Taylor and maclaurin series 1 10.9 Convergence of taylor series 1 10.10 The binomial series and applications of taylor series 0.5 12.1 Three-dimensional coordinate systems 0.5 12.2 Vectors 1 12.3 The dot product 1 12.4 The cross product 1 12.5 Lines and planes in space 1 13.1 Curves in space and their tangents 1 13.2 Integrals of vector functions, projectile motion 1 14.1 Functions of several variables 1 14.2 Limits and continuity in higher dimensions 1 14.3 Partial derivatives 1 14.4 The Chain Rule 1 14.5 Directions derivatives and gradient vectors 1 14.6 Tangent planes and differentials 1.5 14.7 Extreme values and saddle points 1.5 14.8 Lagrange multipliers