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## Exercises for Calculus 250a: Advanced Calculus I, Fall 2006

Below is a list of the recommended exercises for the course as well as the assignment exercises to be handed in. You are expected to work through all of these exercises as we cover the section in class. This is the best way to learn the material! Don't wait until just before the exams to do the exercises.

The odd numbered exercises have answers at the back of the text and solutions in the solutions manual.

Homework solutions must be complete, showing all work. Please staple your pages, and put your name, student ID number, and section number in the upper right corner of the first page.

The assignments are to be thought of as take-home exams and should be done entirely on your own. All those involved in copying will receive a negative grade on the assignment in question. In addition, all academic offenses will be reported to the Dean's office, and may result in further penalties. Regarding Scholastic Offences and Penalties, see pp. 39-41 of the Academic Calendar or refer to Academic Penalties.

Due dates (at the beginning of class) and maximum marks:

 Assignment 1: Friday, September 22 out of 30 Assignment 2: Friday, October 6 out of 37 Assignment 3: Friday, October 20 out of 38 Assignment 4: Monday, November 6 out of 29 Assignment 5: Friday, November 17 out of 30 Assignment 6: Friday, December 1 out of 35

The homework and recommended exercises below may be updated as the course progresses, so check back before doing the assignments.

 Section Exercises Section 13.1: Assignment 1: 10(a), 10(f), 14  solutions Recommended: 3, 6, 27, 29, 34   solutions to 6 and 34 Section 13.2: Assignment 1: 4(a), 4(c), 8, 20  solutions Recommended: 5, 21, 25, 29 Section 13.3: Assignment 1: 2, 18, 24, 38  solutions Recommended: 1, 21, 25 Section 13.4: Assignment 1: 4, 10, 26  solutions Recommended: 7, 9, 15, 23, 35, 41 Section 13.5: Assignment 2: 8, 26, 46  solutions Recommended: 5, 9, 13, 27, 57, 61 Section 13.6: Assignment 2: 24, 34  solutions Recommended: 3, 7, 15, 23 Section 13.7: Assignment 2: 20, 28, 46  solutions Recommended: 5, 15, 35, 59 13 Review: Recommended: Do lots of the review questions Section 14.1: Assignment 2: 4, 40  solutions Recommended: 3, 11, 19-24 Section 14.2: Assignment 2: 10, 18, 38  solutions Recommended: 5, 25, 31, 39 Section 14.3: Assignment 3: 2, 10, 18  solutions (incl. #28) Recommended: 3, 11, 13, 28, 29, 47 Section 14.4: Assignment 3: 16, 20, 32  solutions Recommended: 7, 15, 19, 21 14 Review: Recommended: Do lots of the review questions Section 15.1: Assignment 3: 16, 20, 24, 44  solutions Recommended: 3, 4, 30, 34, 41, 53-58  solutions Section 15.2: Assignment 4: 8, 30, 36, 38  solutions Recommended: 11, 19, 23, 29, 33, 37 Section 15.3: Assignment 4: 18, 24, 42, 68(a), 68(b)  solutions Recommended: 5(a), 6(c), 8, 13, 27, 45, 55, 59, 67, 77 Section 15.4: Assignment 4: 6, 16, 26  solutions Recommended: 5, 13, 17, 19, 23, 37 Section 15.5: Assignment 5: 4, 24, 30  solutions Recommended: 5, 11, 25, 31, 43 Section 15.6: Assignment 5: 4, 8, 16, 24, 40  solutions Recommended: 5, 11, 19, 23, 38, 43  solution to 38 Section 15.7: Assignment 5: 8, 14, 28; indicate clearly which points are maxima, minima and saddles; no need to plot.  solutions Recommended: 3, 13, 29, 39, 41 Section 15.8: Assignment 6: 6, 16, 18 Recommended: 5, 11, 19, 39  solutions 15 Review: Recommended: Do lots of the review questions Section 17.1: Assignment 6: 6, 24, 30  solutions Recommended: 5, 13, 17, 23, 29, 31 Section 17.5: Assignment 6: 6, 14, 20, 22, 36(c) (can use result of 29)  solutions Recommended: 7, 9, 15, 21, 31 Adams, 12.6: Recommended: 5, 13, 15; solutions to Adams questions available from instructor Adams, 12.9: Recommended: 1, 7, 11 (no need to use Maple), 13, 15 (no need to prove solution exists for 13, 15) Adams, 16.7: Recommended: 1, 2

This list will be updated as the course progresses.