## Math 1501: Honors Calculus I

Topics covered:Real numbers, proof by induction, functions, definition by recursion, limits, continuity, derivatives and applications, definite integral, Fundamental Theorem of Calculus and inverse functions. Applications using computer software packages. Emphasis on theory. Prerequisite: MATH 1015 or appropriate placement. 4 credits

Things to download:

General Info:

Practice Exams

- Practice for Final
- Practice Exam 3 (with Answers)
- Practice Exam 2 (with Answers)
- Practice Exam 1 (with Answers)

Maple and Other Stuff

Lectures

- 34 - Review for Final
- 33 - exp and stuff
- 32 - ln and stuff
- 31 - Review Exam 3
- 30 - Int. by Substitution
- 29 - MVT for Integrals
- 28 - Area under a Curve
- 27 - Natural log
- 26 - Fundamental Theorem 2
- 25 - Fundamental Theorem 1

- 24 - Definite Integral
- 23 - Anti-Derivatives
- 22 - MVT and Anti-Derivatives
- 21 - Exam 2 review
- 20 - Implicit Differentiation
- 19 - Absolute Extrema
- 18 - 2nd Deriv. Test
- 17 - Sketching with Maple
- 16 - Concavity
- 15 - Local max/min
- 14 - Chain rule and review
- 13 - Quotient and Chain Rules
- 12 - Defs, Thms, and Review
- 11 - Power and Product Rules
- 10 - Not Differentiable
- 09 - The Derivative
- 08 - Limits at Infinity
- 07 - Continuity

- 06 - Limits and Continuity
- 05 - Formal limits
- 04 - Limits, one-sided, graphically
- 03 - Limit Intro
- 02 - Shifting and Symmetry
- 01 - Functions and graphs

Assignments

Practice for Final- Practice Exam 3 (with Answers)
- Sect 4.4, Page 234: #15, 19

Sect 4.5, Page 241: #1, 2, 4, 7, 9, 19, 23, 24, 31, 32, 33, 34, 42, 45, 47, 49- Sect 4.4, Page 234: #9, 10, 23, 13

Sect 5.2, Page 261: #13, 15, 16, 17, 31, 32, 40- Sect 4.4, Page 234: #1, 2, 3, 4, 5, 7, 8
- Sect 4.1, Page 203: #4, 5

Sect 4.2, Page 215: #1, 2, 19, 21, 31, 32 36

Sect 4.3, Page 225: #1, 3, 5, 7, 9, 11, 21, 25- Sect 3.2, Page 154: 1, 5, 7, 11, 17, 23, 25

Sect 3.7, Page 189: 1, 3, 5, 9, 13, 16, 19, 29, 37, 41- Practice Exam 2 (with Answers)
- Section 2.6, page 125: #3, 6, 9, 17, 19, 21, 23, 27, 29

Hint: to plot implicit functions with Maple, type e.g.:

with(plots);

implicitplot(x^2+y^2=1,x=-2..2,y=-2..2);- Page 168: #12, 14, 15, 24

Page 148: #35, 36, 37, 42, 57, 60

Maple Project 1 due- Page 161: #1, 3, 4, 12, 15, 21, 25, 27, 33, 34
- Page 147: #1, 3, 11, 13, 14, 23, 27, 29, 31, 57

Page 161: only (a), (b) of #1, 3, 4, 21, 27- Review derivatives
- From worksheet: rest of the problems

Page 111: #11, 14, 16, 22

Page 119: #1, 8, 15, 17, 23, 27, 30, 34, 56, 58- From worksheet:

- fill in definitions and theorems (except chain rule) and memorize
- determine which rules apply but don't take derivatives for problems 1 to 7, 14, 15, 16, 19, 20
- Page 104: 5, 17, 19, 26, 29, 36, 38, 42, 47, 48

Page 111: #5, 6, 15

Reviewalldefinitions and theorems- Page 83: #47, 48

Page 92: #3, 4, 18, 27, 29

Page 104: #1, 2, 11, 16, 21, 27- Page 66: #2, 3, 5, 14, 15, 19, 20, 21, 23, 29, 31, 44

Page 80: #1 (a,b,c), 8 (a,b), 9, 11, 14, 15, 23- Page 54:#1, 2, 4, 13, 14, 15, 16, 17, 25, 27, 29, 30, 31, 32, 33, 37, 38, 41
- Read section 1.3

Page 33: #7, 22 (a,b,c), 29, 31, 33, 39, 40, 46- Page 33: #3, 4, 6, 11, 15, 16

Page 44: #3, 10, 11, 13, 17, 19, 21, 23, 37, 38- Page 10: #53, 55, 56, 57, 58, 59, 60

Page 22: #15, 16, 17, 18, 19, 37, 38, 45, 48- Page 8: #1, 3, 4, 5, 6, 19, 23, 26, 37, 39

Page 21: #2, 3, 4, 5, 13Bert G. Wachsmut

Last modified: 09/01/07

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