V. E. Howle --- Math 1351, Section 030 --- Fall 2011

Math 1351-030, Calculus I, Fall 2011

Recommended Homework Problems

In general, you should be able to do problems of the level of the "A" problems and "B" problems from each section we cover. I will list some representative problems here that you might want to start with.

Most students need to work more problems than just the ones listed here in order to understand the material well enough to do well on exams and quizzes. These problems should just be a starting point for your studying.

I guarantee that at least one problem on each quiz will be very similar to one of these recommended problems. In general, the quizzes will be based heavily on the recommended problems.

The "Section Problems" are the problems that come at the end of each subsection in the book. The "Proficiency Exam" problems are at the end of each chapter.

*The given quiz date for each section is the date of the first quiz over that section.
**The given exam date is the first exam over the section.

Chapter 1

Section	Representative Problems	Quiz Date*	Exam Date**
1.1 Preliminaries	Section Problems: 1, 3, 5, 7, 9, 15, 17, 19, 21, 31, 33, 35, 39	8/31	9/13
1.1 (cont.)	Section Problems: 45, 51 Proficiency Exam: 2, 3, 4	9/7	9/13
1.2 Lines in the plane	Section Problems: 3, 5, 11, 13, 15, 21, 31, 47, 55 Proficiency Exam: 7, 8	9/7	9/13
1.3 Functions and graphs	Section Problems: 1, 5, 7, 11, 15, 21, 23, 31, 35, 37, 39, 41, 43, 49, 53, 55, 59, 63 Proficiency Exam: 9, 11 a—m	9/7	9/13
1.4 Inverse functions	Section Problems: 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 25, 29, 33, 35, 37, 41 Proficiency Exam: 11 n—s, 14, 16	9/7	9/13

Chapter 2

Section	Representative Problems	Quiz Date*	Exam Date**
2.1 Limits	Section Problems: 1, 3, 5, 9, 13, 19, 23, 27, 35, 39, 45 Proficiency Exam: 1, 2	9/22	10/6
2.2 Algebraic limits	Section Problems: 1, 3, 5, 7, 9, 11, 13, 17, 21, 25, 29, 39, 41, 43, 45, 49, 55 Proficiency Exam: 3, 4, 5	9/22	10/6
2.3 Continuity	Section Problems: 5, 7, 9, 11, 12, 13, 15, 17, 19, 21, 23, 25, 34, 39, 41 And problems: 27, 29, 31 Proficiency Exam: 6, 7, 9, 10	9/28	10/6
2.4 Exponential and log	Section Problems: 1, 3, 13, 15, 17, 19, 23, 29, 31, 33, 35, 37, 39, 41, 43, 49 Proficiency Exam: 12, 15, 16, 17, 18	9/28	10/6

Chapter 3

Section	Representative Problems	Quiz Date*	Exam Date**
3.1 Intro to derivatives	Section Problems: 2, 3, 4, 5, 9, 13, 15, 17, 19, 21, 27, 29, 31, 35, 39, 45, 47, 50 Proficiency Exam: 1, 2, 3, 32	10/12	11/3
3.2 Techniques of differentiation	Section Problems: 1—33 (odd), 41, 45 Proficiency Exam: 6, 7 a-b	10/12	11/3
3.3 Derivatives of trig, exp, and log functions	Section Problems: 1—43 (odd), 49, 51 Proficiency Exam: 7 c-e	10/12	11/3
3.4 Rates of change	Section Problems: 3, 5, 9, 17, 19, 23, 41, 43, 45, 51, 55 Proficiency Exam: 9, 11	10/19	11/3
3.5 Chain rule	Section Problems: 2, 3—49 (odd), 55, 61 Proficiency Exam: 12, 23, 29	10/26	11/3
3.6 Implicit differentiation	Section Problems: 1—31 (odd), 33, 37, 43, 51, 53 Proficiency Exam: 7f, 13, 14	10/26	11/3
3.7 Related rates	Section Problems: 1, 3, 5, 7, 11, 13, 22, 23, 25, 27, 37, 39 Proficiency Exam: 15, 35	11/9	11/22
3.8 Linear approximation and differentials	Section Problems: 1, 5, 13, 19, 20, (60) Proficiency Exam: 16, 20	11/9	11/22

Chapter 4

Section	Representative Problems	Quiz Date*	Exam Date**
4.1 Extreme values	Section Problems: 1 - 13 (odd), 15, 19, 21, 25, 29, 33, 37, 43, 55 Proficiency Exam: 1, 3	11/16	11/22
4.2 Mean value theorem	Section Problems: 1, 3, 5, 7, 11, 15, 19, 21, 25, 29, 37, 55 Proficiency Exam: 5, 6	11/16	11/22
4.3 Derivatives for curve sketching	Section Problems: 1 - 4, 7 - 43 (odd), 49 Proficiency Exam: 7	11/16	11/22
4.4 Curve sketching with asymptotes (limits involving infinity)	Section Problems: 5 - 23 (odd), 25, 31, 37, 39, 43 Proficiency Exam: 8, 9, 11, 21, 25	11/16	11/22
4.5 l'Hopital's rule	Section Problems: 1, 3 - 35 (odd), 45, 47 Proficiency Exam: 10, 19	11/16	11/22
4.6 Optimization	Section Problems: 3, 7, 8, 9, 13, 15, 19, 21 Proficiency Exam: 29	11/30	12/13

Chapter 5

Section	Representative Problems	Quiz Date*	Exam Date**
5.1 Antidifferentiation	Section Problems: 1 - 29 (odd), 43 Proficiency Exam: 1, 5	11/30	12/13 (final)
5.2 Area a limit of a sum	Section Problems: 1 - 11 (odd), 13, 27 Proficiency Exam: 6, 7	NA	12/13 (final)
5.3 Riemann sums & definite integral	Section Problems: 1, 3, 11, 17, 19, 21 Proficiency Exam: 8, 9	NA	12/13 (final)
5.4 Fundamental theorem of calculus	Section Problems: 1 - 43 (odd) Proficiency Exam: 12, 13	NA	12/13 (final)
5.5 Integration by substitution	Section Problems: 1 - 41 (odd), 49 Proficiency Exam: 14	NA	12/13 (final)
5.7 Mean value theorem for integrals	Section Problems: 1 - 29 (odd) Proficiency Exam: 19, 20	NA	12/13 (final)

Last updated: December 4, 2011

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Copyright © 2011, Victoria Howle and Department of Mathematics & Statistics, Texas Tech University All rights reserved.
Comments: Victoria E. Howle (victoria.howle@ttu.edu)