## Calculus I - Homework

Disclaimer: The list of topics and due date for each assignment is tentative and 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 - 011 if you're in discussion section 11). Occasionally homeworks may get lost, and this helps them find their way home.

Unless stated otherwise, each homework is due at the beginning of your discussion section.

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.

*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 Sec 1.1: 1, 3, 24, 26, 38, 44, 46, 51, 56, 65 Jan 23/24 Homework 2 Functions II Sec 1.2: 3, 4, 8 Sec 1.3: 3, 4, 6, 14, 24, 34, 60 Bonus: Sec 1.3: 64 Jan 30/31 Homework 3 Limits Sec 1.4: 4*, 7* Sec 1.5: 2, 4, 8, 11, 12, 18, 21*, 29, 30 Feb 6/7 Homework 4 Limits II Sec 1.5: 38 Sec 1.6: 1, 2, 5, 10, 16, 24, 27, 44, 60 Bonus: Sec 1.6: 59, 64 Feb 13/14 Homework 5 Continuity Sec 1.8: 3, 6, 20, 24, 33*, 36, 39, 47 (see p. 68), 52, 68, 69 Bonus: p. 102, #12 Feb 20/21 Homework 6 Derivatives (Use definition to compute derivatives in 2.1 and 2.1) Sec 2.1: 5, 12, 17 Sec 2.2: 3, 24, 29, 38, 51, 53 Sec 2.3: 6 Feb 27/28 Exam 1 Material to date Fri Mar 8 --- SPRING BREAK --- Homework 7 Implicit differentiation Sec 2.6: 2, 12, 29 Ch 2 Review Exercises (pp 191--193): 4, 8, 11, 14, 16, 28, 33, 39, 72 Bonus Problems: Sec 2.6 Exer 62; Ch 2 Problems Plus numbers 8 and 10 Mar 27/28 Homework 8 Rates of Change Sec 2.6: 45 Sec 2.7: 2, 6, 7, 14, 29, 34 Sec 2.8: 4, 5, 6, 11, 13, 18 Bonus: Sec 2.8 Exer 40 Apr 3/4 Homework 9 Extrema/Shapes of Graphs Ch 2. Rev (p. 193): 78 Sec 3.1: 1, 3, 8, 10, 12, 45, 46 Sec 3.2: 5, 10 Sec 3.3: 1, 5 Bonus: Sec 3.1: 68; Sec. 3.2: 20, 34 Apr 10/11 Exam 2 Material to date Fri Apr 19 Homework 10 Graphing/Limits at Infinity Sec 3.3: 12, 20, 28, 30, 32 Sec 3.4: 3, 11, 12, 18, 22, 23 Apr 24/25 Homework 11 Graphing/Optimization Sec 3.5: 1, 3, 10, 14, 25 Sec 3.7: 2, 5, 7, 8, 14 Bonus: Sec 3.7: 71, 74, 75 May 1/2 FINAL EXAM Everything to date Wed May 8

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