Syllabus and Homework Assignments
Math 13, Winter 2010

Updated: March 22, 2010
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Written Homework Assignments

March 22, 2010: Solutions have been removed so that future classes will not have access to them.

Homework Assignment #1 (Due 1/13/2010): Problems.
Homework Assignment #2 (Due 1/22/2010 - Friday, not Wednesday): Problems.
Homework Assignment #3 (Due 1/27/2010): Problems.
Homework Assignment #4 (Due 2/3/2010): Problems.
Homework Assignment #5 (Due 2/10/2010): Problems.
Homework Assignment #6 (Due 2/17/2010): Problems.
Homework Assignment #7 (Due 2/26/2010): Problems.
Homework Assignment #8 (Due 3/5/2010): Problems. (Updated March 4. There was a typo on an earlier version of this problem set, where Question #4 (17.8.5 from the text) said to calculate the surface integral of a vector field F instead of the correct problem, which is to calculate the surface integral of the curl of F.)

Exam-Related Materials

Final Study Guide (Accuracy not 100% guaranteed!)

Note: In general, WeBWork assignments assigned on the day of a lecture will be due either four or five days later (usually, the day of the lecture after next). Check this webpage for last minute changes before doing the homework or practice problems.
Skip to | Week 2|Week 3|Week 4|Week 5|Week 6|Week 7|Week 8|Week 9|Week 10 of the syllabus.

 Week 1 Day 1: 1/4/2010 Class information Basic mathematical notation and concepts Class Notes for Day 1 Day 2: 1/6/2010 A rapid review of Chapter 13: Vectors, dot product, cross product, lines and planes You do not really need to know the material in Chapter 13.6. Class Notes for Day 2 Day 3: 1/8/2010 A rapid review of Chapter 14: Vector-valued functions, arc length You can omit the second halves of 14.3 and 14.4. Class Notes for Day 3 Week 2 Day 4: 1/11/2010 A rapid review of Chapter 15: Partial derivatives, differentiation, gradient, chain rule, tangent planes The material in Chapter 15.7 (local extrema, second derivative test) and Chapter 15.8 (Lagrange multipliers) is not as essential as the rest of the material in the chapter. Of particular importance are Chapters 15.3, 15.4, and 15.6. Class Notes for Day 4 Day 5: 1/13/2010 Chapter 16.1: Double integration over rectangles Start Chapter 16.2: Iterated integrals Class Notes for Day 5 Day 6: 1/15/2010 Chapter 16.2: Iterated integrals and Fubini's theorem Chapter 16.3: Double integrals over more general regions Class Notes for Day 6 Week 3 Day 7: 1/20/2010 A review of polar coordinates Start Chapter 16.4: Double integration using polar coordinates Class Notes for Day 7 Day 8: 1/21/2010 Chapter 16.4: Double integration using polar coordinates This is a class during the X-hour period. Class Notes for Day 8 Day 9: 1/22/2010 Chapter 16.5: Applications of double integration: centers of mass, moments of inertia, area, etc. Class Notes for Day 9 Week 4 Day 10: 1/25/2010 Chapter 16.6: Triple integration Class Notes for Day 10 Day 11: 1/27/2010 Chapter 16.7: Triple integration in cylindrical coordinates Class Notes for Day 11 Day 12: 1/29/2010 Chapter 16.8: Triple integration in spherical coordinates Class Notes for Day 12 Week 5 Day 13: 2/1/2010 Chapter 16.9: Multiple integration under a change of variables, the Jacobian Class Notes for Day 13 Day 14: 2/3/2010 Chapter 17.2: Line integration of scalar functions Class Notes for Day 14 Day 15: 2/5/2010 Chapter 17.1: Vector fields Chapter 17.2: Line integration of vector fields Class Notes for Day 15 Week 6 Day 16: 2/8/2010 Chapter 17.3: Path independence, and conservative vector fields, and The Fundamental Theorem of Calculus for line integrals Class Notes for Day 16 Day 17: 2/10/2010 Chapter 17.4: Simple closed curves, Green's Theorem Class Notes for Day 17 Day 18: 2/11/2010 Chapter 17.4: Simple closed curves, Green's Theorem Class Notes for Day 18 Week 7 Day 19: 2/15/2010 Chapter 17.5: Divergence and curl of vector fields Class Notes for Day 19 Day 20: 2/17/2010 Chapter 17.6, 17.7: Parameterization of surfaces, tangent planes, surface integrals of scalar functions Class Notes for Day 20 Day 21: 2/19/2010 Chapter 17.6, 17.7: Tangent planes, oriented surfaces, flux Class Notes for Day 21 Week 8 Day 22: 2/22/2010 Chapter 17.7: Surface integrals of vector fields Class Notes for Day 22 Day 23: 2/24/2010 Chapter 17.7: Surface integrals of vector fields Chapter 17.9: The Divergence Theorem Class Notes for Day 23 Day 24: 2/26/2010 Chapter 17.9: The Divergence Theorem, brief applications to electromagnetism Class Notes for Day 24 Week 9 Day 25: 3/1/2010 Chapter 17.8: Stokes' Theorem Class Notes for Day 25 Day 26: 3/3/2010 Chapter 17.8: Stokes' Theorem Class Notes for Day 26 Day 27: 3/5/2010 What's next? Week 10 Day 28: 3/8/2010 Review, Questions, etc.