Week | Topic | Reading | Homework Problems |
---|---|---|---|
August 25 | Introduction
I. Functions and graphs: slope and linear functions, polynomial functions, and applications |
1.1 - 1.2 | Homework #1: due Tuesday, September 2nd 1.1: 2, 4, 10, 12, 14, 16, 26, 28, 34, 38, 46, 50, 58, 60, 64ab, 66 1.2: 2, 4, 8, 10, 12, 16, 18, 20, 22, 24, 28, 30, 32, 34, 36 Appendix A: 80, 82, 86, 94, 98, 102, 144, 150, 152 Suggested problems: 1.1: 7, 9, 17, 25, 27, 35, 37, 53, 59, 61 1.2: 5, 7, 17, 19, 27, 29, 31, 35 |
September 2 |
I. Functions and graphs: rational and radical functions, trigonometric functions, and applications |
1.3 - 1.5 | Homework #2: due Tuesday, September 9th 1.3: 2, 4, 6, 8, 11, 12, 14, 24, 28, 40, 42, 52, 54, 56, 58 1.4: 8, 10, 14, 18, 20, 52, 54, (52, 54: express answer as A*trig function(angle in radians) ), 64, 65 1.5: 8, 10, 14 (8-14 also use "special angles"), 26, 28, 34 (26-34 do not use a calculator), 42, 44, 46, 54, 60 |
September 8 |
II. Differentiation: limits and continuity, geometrical interpretation; limits and continuity, algebraic interpretation |
2.1 - 2.2 | Homework #3: due Tuesday, September 16th 2.1: 2, 4, 6, 8, 10, 12, 14, 16, 17-23, 31-34 2.2: 1, 2, 3, 4-28 (even numbered problems only), 34, 35, 36, 38, 40 Suggested problems: 2.1: 9, 11, 13, 15 2.2: 9, 11, 17, 21, 23, 25, 27, 37, 39 |
September 15 |
II. Differentiation: average rates of change, derivatives from limits, instant rates of change, introduction to differentiation techniques |
2.3 - 2.5 | Homework #4: due Tuesday, September 23rd 2.3: 10, 12, 14, 16, 18, 21, 30 2.4: 2, 4, 10, 12, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 2.5: 10, 11, 12, 14, 16, 28, 30, 40 2.6: 4, 10, 14, 18, 20 And 5 additional problems: link |
September 22 |
II. Differentiation: product rule, quotient rule, chain rule | 2.7-2.8 | Homework #5: due Tuesday, September 30th 2.7: 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 90, 94, 96, 97, 98, 100, 102, 104 2.8: 2, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 70, 72, 74, 76, 78, 80, 82, 84 And 4 additional problems: link |
September 29 |
II. Differentiation: higher order derivatives III. Applications of Differentiation: First derivatives, local extrema; second derivatives, concavity; curve sketching. |
2.9, 3.1-3.2 | Homework #6: due Tuesday, October 7th 2.9: 2, 6, 16, 28, 38, 44, 48 3.1: 10, 22, 26, 38, 42, 96, 98 3.2: 10, 14, 26, 30, 46, 106, 108, 110, 112 And 2 additional problems: link |
October 6 |
III. Applications of Differentiation: Second derivatives, concavity, and curve sketching; rational functions and asymptotes. Midterm 1 review, 1.1-3.2. MIDTERM I on Wednesday |
3.1-3.2 | NO HOMEWORK Midterm 1 review: link |
October 13 |
III. Applications of Differentiation: rational functions, asymptotes, curve sketching; absolute extrema, max & min; optimization, max & min |
3.3-3.5 | Homework #7: due Tuesday, October 21st 3.3: 2, 6, 10, 14, 16, 26, 32, 42, 46, 48, 56, 60, 82 3.4: 2, 16, 28, 46, 56, 73 3.5: 2, 12, 24, 38, 39, 40 And 2 additional problems: link |
October 20 |
III. Applications of Differentiation: approximation techniques, implicit differentiation, related rates, applications |
3.6-3.7 | Homework #8: due Tuesday, October 28th 3.6: 2, 4, 6, 9, 12, 14, 16, 18, 20, 48, 49 (for 48 and 49, d(sec(x))/dx=sec(x)tan(x)) 3.7: 2, 4, 6, 10, 12, 20, 22, 24, 26, 30, 32, 34, 36, 40, 42, 44, 46, 48 And 3 additional problems: link |
October 27 |
III. Applications of Differentiation: Applications: optimization (maximum-minimum problems), related rates |
3.5, 3.7 | Homework #9: Midterm 2 review! due Tuesday, November 4th 3.3 3, 7, 9, 15, 39, 40, 41 (see .pdf for additional instructions on #39-41) 3.4 15, 31, 32, 41, 49 3.5 13, 17, 18, 21, 23, 27, 29 3.6 15, 17, 19 3.7 5, 7, 9, 17, 29, 30, 33, 37, 38, 39, 41, 43 and 5 additional problems: link |
November 3 |
Midterm 2 review, 3.1-3.7 IV. Exponential and Logarithmic Functions: introduction MIDTERM 2 on Wednesday |
4.1 | NO HOMEWORK |
November 10 |
IV. Exponential and Logarithmic Functions: exponential functions, logarithmic functions, and their derivatives |
4.1-4.2, 4.5 | Homework #10: due Tuesday, November 18th 4.1 1, 5, 9, 11, 15, 19, 23, 27, 31, 35, 41, 45, 49, 53, 57, 59, 65, 77, 79 4.2 1, 3, 5, 7, 13, 15, 17, 19, 21, 23, 25, 27, 39, 41, 43, 47, 51, 55, 57, 61, 65, 67, 73, 91, 95, 97 4.5 3, 7, 9, 13, 15, 17, 19, 21, 27, 31, 32, 33, 37 and 2 additional problems: link As part of the homework, modify this spreadsheet: link Don't forget to make your own copy (File --> Make a copy) and only make changes IN THE COPY. |
November 17 |
IV. Exponential and Logarithmic Functions: applications: uninhibited growth and decay |
4.3-4.4 | Homework #11: due Tuesday, December 2nd 4.3 2, 4, 6, 8, 10, 12, 14, 17-22, 32, 33, 36, 37 4.4 1-11, 13, 17, 18, 22, 24, 32, 37, 38 and 4 additional problems: link |
November 24 |
THANKSGIVING BREAK |
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December 1 |
V. Integration: antiderivatives and integrals, areas and accumulation, the Fundamental Theorem of Calculus |
5.1-5.3 | Homework #12: due Tuesday, December 9th 5.1 2, 6, 10, 14, 18, 22, 26, 30, 37, 40, 44, 46, 50, 54, 58, 62, 66, 73, 76, 77, 79 5.2 2, 4, 6, 12, 14, 17, 18, 24, 26 5.3 4, 8, 12, 14, 18, 40, 44, 48, 52, 54, 58, 60, 64, 74, 78, 79, 80, 86, 89, 90, 91, 92 For 5.3.79, also answer: What is the particle's initial velocity? What is its acceleration? 5.4 4, 6, 8, 13, 14, 16, 22, 23, 25, 26 and 3 additional problems: link Note: problems from section 5.4 are NOT required for the homework but ARE fair game for the final. |
December 8 |
V. Integration: techniques of integration FINAL EXAM REVIEW, chapters 2-5 |
5.4 | NO HOMEWORK |