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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: DyKnow Collaboration software

General Info: Syllabus List of Topics Practice Exams Practice for Final Practice Exam 3 (with Answers) Practice Exam 2 (with Answers) Practice Exam 1 (with Answers) Maple and Other Stuff Maple Project 3 Maple Project 2 Maple Project 1 Maple in a Nut Shell Derivative Worksheet 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 Review all  definitions 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, 13

Bert G. Wachsmut
Last modified: 09/01/07
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