Disclaimer: The list of topics and due date for each assignment is tentative as will be updated as the semester progresses.
Homework guidelines: Each assignment is to be stapled in the upper left. At the top of the first page, write the assignment number (e.g., "Homework 3"). In the upper right hand corner of the first page, please write your name, course and discussion section number (e.g. MATH 1823 - 031 if you're in discussion section 31). Occasionally homeworks will get misplaced (by the students, instructor, TAs or otherwise), and this helps them find their way home.
Solutions should appear in the order the questions are listed on the homework, with any bonus questions at the end. If for some reason you put them out of order, please make appropriate notes to redirect the grader. The assignment is to be written legibly and in complete sentences. You will be graded not only on your final answer, but also on your explanation and justification of it. Your arguments should be clear and logically correct. Justify each step. Cite theorems and results when it is not obvious what you are using. You may use my solutions to examples in class as a guide. The general principle is: you want to convince the grader you completely understand how to solve it; present your solution as if you were teaching a classmate who didn't know how to solve the problem.
Please also be sure to read the homework policies on the Course Guidelines page.
Each homework totals to 100 pts. All problems are worth 10 points unless otherwise noted.
*STARRED problems are ones for which you are allowed to use a calculator or
computer for calculations and/or graphing.
| Assignment | Topics | Problems | Due |
| Homework 1 | Functions | download pdf | Mon Aug 30 |
| Homework 2 | Functions II | Sec 1.2: 3, 4, 8 Sec 1.3: 3, 4, 6, 14, 24, 34, 63 (5 pts), 66 (5 pts) | Wed Sep 8 (no class Mon) |
| Homework 3 | Limits | Sec 2.1: 7* Sec 2.2: 2, 4, 8, 12, 14, 34(a), 40 Sec 2.3: 6, 10 | Mon Sep 13 |
| Homework 4 | Continuity | Sec 2.3: 11, 24, 26, 45 Sec 2.5: 4-6 (5 pts each), 15, 25, 35, 47, 60 (5 pts) Bonus: Sec 2.4: 26, 39 (5 pts each) | Mon Sep 20 |
| Exam 1 | Material to date | Mon Sep 27 | |
| Derivatives | no homework this week | Mon Oct 4 | |
| Homework 5 | Differentiation rules | Sec 3.2: 6 (5 pts), 7 (5 pts), 19, 22, 26, 34, 40 Sec 3.3: 5 (5 pts), 6 (5 pts), 7 (5 pts), 9 (5 pts), 50, 61 | Mon Oct 11 |
| Homework 6 | Trig functions, Chain rule | Sec 3.3: 19 (5 pts), 26 (5 pts), 30 (5 pts), 51(a), 62(a)(b) (5 pts), 72
Sec 3.4: 5 (5 pts), 10 (5 pts), 18 (5 pts), 19 (5 pts), 20, 35 Sec 3.5: 3, 18, 23, 25 [all 5 pts] Bonus: Section 81(a)(b) and (c'): use (b) to verify the power rule for the derivative of x^(n/3) where n=1,2,3,... | Mon Oct 18 |
| Homework 7 | Implicit differentiation | Sec 3.6: 5, 14, 28, 44 Sec 3.7: 5-6 (5 pts each, no explanations), 8, 10, 32 Sec 3.8: 8, 18 | Mon Oct 25 |
| Exam 2 | Material to date | Mon Nov 1 | |
| Homework 8 | Review Problems | Sec 3.2: 24 Sec 3.5: 34, 35, 41, 45, 84 Sec 3.6: 26 Sec 3.8: 13, 36, 40 | Mon Nov 8 |
| Homework 9 | Extrema, Shapes of Graphs | Sec 4.1: 4 (5 pts), 8 (5 pts), 12, 22, 46, 52 Sec 4.3: 8 (no explanations), 10, 21, 34, 39 | Mon Nov 15 |
| Homework 10 | Shapes of Graphs, Mean Value | Sec 4.2: 5 (5 pts), 17 (5 pts) Sec 4.3: 15 Sec 4.4: 2, 11 (5 pts), 14 (5 pts), 16 (5 pts), 27 (5 pts) Sec 4.5: 3, 18, 26, 37, 50 Bonus: Sec 4.2, #34 (10 pts) | Mon Nov 22 |
| --- THANKSGIVING BREAK (Wed, Fri) --- | |||
| Homework 11 | Optimization | Sec 4.7: 3, 4, 12, 19 Ch 4 Review Exercises (pp. 282-283): 1, 7, 9, 16, 18, 23 | Mon Nov 29 |
| Exam 3 (Homework 12) | Chapter 4 Review | Mon Dec 6 | |
| Bonus Assignment | The Shape of a Can |
Applied Project, pp. 268-269 (turn in directly to your TA) | Fri Dec 10 |
| FINAL | Everything to date | Th Dec 16 1:30-3:30pm |