John R. Steel: Courses 

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Math 53: Multivariable Calculus

Available documents:

• Course announcement. pdf
• Homework 1, due Jan. 30. pdf
• Homework 2, due Feb. 6. pdf
• Homework 3, revised due date Friday Feb. 15. pdf
• Homework 1 solutions. pdf
• Homework 2 solutions. pdf
• Homework 4, due Friday Feb. 22. pdf
• Proof of the distributive law for cross-products. pdf
• Homework 3 solutions. pdf
• Homework 5, due Friday Feb. 29. pdf
• First midterm announcement pdf
• Sample first midterm. pdf
• Homework 6, due Wed., March 5.pdf
• Homework 4 solutions. pdf
• Homework 5 solutions. pdf
• True-false answers for Chapter 10 review. pdf
• Sample first midterm solutions. pdf
• Homework 6 solutions. pdf
• Some suggested-exercise solutions from 11.6. pdf
• Homework 7, due Fri., March 14.pdf
• Homework 8, due Fri., March 21.pdf
• Homework 7 solutions. pdf
• Homework 8 solutions. pdf
• First midterm solutions. pdf
• Homework 9, due Monday, April 7.pdf
• Homework 10, due Wednesday, April 16.pdf
• Second midterm announcement, and sample questions. pdf
• Homework 9 solutions. pdf
• Some sample true/false questions for the second midterm. pdf
• Sample second midterm solutions. pdf
• Sample second midterm true/false solutions. (There are two sets of solutions, with a few different explanations, and more detail, in the second one.) pdf, pdf
• Homework 10 solutions. (You'll learn more by doing them yourself first!) pdf
• Some important formulae. pdf
• Homework 11, due Monday, April 28.pdf
• Homework 12, due Monday, May 5.pdf
• Homework 11 solutions. pdf
• Second midterm solutions. pdf
• Homework 13, due Monday, May 12.pdf
• Final exam announcement. pdf
• Sample true/false questions for the final. pdf
• Homework 12 solutions. pdf
• Homework 13 solutions. pdf
• Office hours for finals period: WThF this week, and MTW of the week of the exam. 11am--12:30 in my office, each day.
• Some sample problems from 13.5--13.9. pdf
• Answer key for sample true/false questions for the final. pdf