Ryan Daileda - Trinity University Mathematics

San Antonio, Texas

Spring 2009 - Calculus III

Note: with the exception of exam dates, this schedule is only approximate.

Date	Topic	Textbook Sections
1/14	Vectors in R² and R³	12.1, 12.2
1/16	The dot and cross product	12.3, 12.4
1/19	MLK Holiday - No class
1/21	Lines and planes in R³	12.5
1/23	Vector-valued functions	13.1
1/26	Derivatives and integrals of vector functions; arc length	13.2, 13.3
1/28	Multivariable functions	14.1
1/30	Limits and continuity of multivariable functions	14.2
2/2	Partial derivatives	14.3
2/4	Tangent planes	14.4
2/6	Midterm Exam 1
2/9	Exam 1 Returned
2/11	The multivariable chain rule	14.5
2/13	Directional derivatives	14.6
2/16	Optimization of multivariable functions	14.7
2/18	Lagrange multipliers	14.8
2/20	Double integrals over rectangular regions	15.1
2/23	Iterated integrals and Fubini's theorem	15.2
2/25	Double integrals over general regions	15.3
2/27	Double integrals in polar coordinates	15.4
3/2	Applications of double integrals	15.5
3/4	Midterm Exam 2
3/6	Exam 2 Returned
3/9	Spring Break - No class
3/11
3/13
3/16	Triple integrals	15.6
3/18	Triple integrals in cylidrical coordinates	15.7
3/20	Triple integrals in spherical coordinates	15.8
3/23	General change of variables in double and triple integrals	15.9
3/25	General change of variables in double and triple integrals	15.9
3/27	Vector fields	16.1
3/30	Line integrals and the Fundamental Theorem of Calculus	16.2, 16.3
4/1
4/3
4/6	Midterm Exam 3
4/8	Exam 3 Returned
4/10	Good Friday Holiday - No class
4/13	Green's theorem	16.4
4/15	Curl and divergence	16.5
4/17	Parametric surfaces	16.6
4/20	Surface integrals	16.7
4/22	Surface integrals	16.7
4/24	Stokes' theorem	16.8
4/27	The Divergence Theorem	16.9
4/29	Wiggle room
5/1	Wiggle room

Questions and comments concerning this page are to be addressed to rdaileda at trinity dot edu.