John R. Steel: Courses 

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Math 53: Multivariable Calculus

Available documents:

• Course announcement. pdf
• Homework 1, due 8/30 or 8/31. pdf
• Homework 2, due at discussion section, 9/6 or 9/7. pdf
• Worksheets. (This is enrichment material that GSIs may use at discussion section, and you may use if it helps.) pdf
• Homework 3, due at discussion section, 9/13 or 9/14. pdf
• Homework 4, due at discussion section 9/21. pdf
• Proof of the distributive law for cross products. pdf
• Homework 5, due at discussion section 9/28. pdf
• List of GSI office hours. pdf
• Homework 6, due at discussion section 10/05. pdf
• About the first midterm. pdf
• Sample first midterm. pdf
• Homework 7, due at discussion section 10/12. pdf
• Homework 8, due at discussion section 10/19. pdf
• Revised first midterm solutions. (There is a small change at the bottom of page 1.) pdf
• A short proof of Fubini's theorem. pdf
• A short proof of Clairaut's theorem. pdf
• Homework 9, due at discussion section 10/26. pdf
• Homework 9, due at discussion section 10/26. pdf
• Homework 10, due at discussion section Monday 11/05. (This is a revision to the earlier due date.) pdf
• Second midterm to be held 11/07. Study guide and sample: pdf
• Some useful formulae. (Understand these well, and how to use them, and you're in good shape for midterm 2.) pdf
• Sample true-false questions for midterm 2. pdf
• Solutions to midterm 2 sample questions. (Don't look until you've worked them out on your own!) pdf
• Solutions to midterm 2 sample true-false questions. (Don't look until you've struggled on your own!) pdf
• Homework 11, due at discussion section Friday 11/16. pdf
• Homework 12, due at discussion section Wednesday 11/21. pdf
• Second midterm solutions. pdf
• Homework 13, due at discussion section Wednesday 11/30. pdf
• Homework 14, due at discussion section Wednesday 12/05. pdf
• Final exam study guide. pdf
• Sample problems for final. pdf
• Sample true-false questions for the final. pdf
• Line integrals vs. surface integrals. pdf
• Solutions to sample true-false questions for final. pdf