| # | Date | Topics | Recommended problems | Homework problems | Challenge problems |
|---|---|---|---|---|---|
| 1 | W 1/30 | 1.1: functions, different ways of representing them | p. 8: 1, 3, 19, 23 | HW 1: p. 8: 2, 6, 8, 16, 20, 33 (due 2/1) | C1: p. 8: 36 |
| 2 | F 2/1 | 1.2: mathematical modeling; also linear, polynomial, root and rational functions | p. 8: 41. p. 21: 1, 3, 7, 9 (do without using a calculator!), 11. | HW 2: p. 8: 43, 45, 47, 50. p. 21: 8, 13 (due 2/5) | C2: p. 21: 61 (due 2/6) |
| 3 | M 2/4 | 1.2 (con't): composition of functions | p. 21: 37, 45 | HW 3: p. 21: 39, 42, 50, 51, 52, 53, 55, 56 (due 2/7) | - |
| - | - | Trigonometry (Appendix A) | p. A8: 1, 3, 7, 9, 17, 19, 21, 35, 37, 65, 67, 69, 71 | - | - |
| 4 | W 2/6 | 1.3: Limits: Making tables (p. 25) | (see A below) | - | - |
| 5 | F 2/8 | 1.3 (con't): limits by simplifying (see p. 38) | p. 33: 3, 7, 11, 15 | HW 4: p. 33: 4, 6, 19 | - |
| 6 | M 2/11 | 2.1: secant line, tangent line | p. 80: 1 (omit (a)(ii)), 7 | - | - |
| 7 | W 2/13 | 2.1: average velocity, instantaneous velocity | p. 80: 1, 5, 7, 9 | HW 5: p. 80: 10, 11, 12, 14, 16, 37, 40 (due 2/20) | p. A9: 83 |
| 8 | F 2/15 | 2.1 (con't) | - | - | - |
| 9 | M 2/18 | 2.2: The derivative as a function | - | - | - |
| 10 | W 2/20 | 2.2 (con't) | p. 91: 1, 5, 7 | HW 6: p. 91: 2, 3, 4, 6, 8, 14, 33 (due M 2/25) | - |
| 11 | F 2/22 | Test 1 | - | - | - |
| 12 | M 2/25 | 2.3: Basic differentiation formulas | p. 104: 1-21 odd | HW 7: p. 104: 2, 12-20 even, 36-40 (due 2/27) | p.104: 64 (To get a sense of this problem, first sketch the graph of the hyperbola with c = 1.) |
| 13 | W 2/27 | 2.3: Derivatives of the sine and cosine. 2.4: The product rule | p. 104: 23, 25. p. 111: 3, 5, 11, 13, 19 | - | - |
| 14 | F 2/29 | 2.4: The quotient rule. Derivative of the tangent and secant. | p. 111: 1, 3, 5, 11-19 odd, 27, 29 | HW 8: p. 111: 12-26 even, 31, 32 (due 3/4) | - |
| 15 | M 3/3 | 2.5: The chain rule | p. 119: 7, 9, 11, 23, 27, 33 (you can simplify this using a trig identity), 39 | HW 9: p. 119: 10, 15, 17, 21, 30, 34, 36, 49, 62 (due 3/7) | p. 119: 68 |
| 16 | W 3/5 | 2.5 (con't) | - | - | - |
| 17 | F 3/7 | 2.6 Implicit differentiation | p. 125: 1, 3, 5, 11, 15, 17, 19, 23 | HW 10: p. 125: 2, 8, 14, 20, 24 (due 3/12) | - |
| 18 | M 3/10 | 2.7 Related rates | p. 131: 1, 3 | - | - |
| 19 | W 3/12 | 2.7 (con't) | - | HW 11: p. 131: 9, 13 (due 3/25) | p. 131: 21 |
| - | - | 3.1 Exponential functions | p. 147: 15, 17 | HW 12: 16, 19, 23, 24, 25 (due 3/28) | - |
| 20 | F 3/14 | Introduction to Webwork | - | - | - |
| 21 | M 3/24 | 3.1, 3.2 | p. 158: 3, 5, 7, 15, 21, 23, 25, 35 | HW 13: p. 158: 17, 22, 24, 26, 36, 44b, 46b, 51, 52 (due 4/2) | - |
| 22 | W 3/26 | Test II | The test is on class material through section 2.6. There will be a review session on 3/25. | - | - |
| 23 | F 3/28 | 3.3 | p. 166: 3, 7, 9, 17-23 odd | HW 14: p. 166: 2, 4, 10, 18, 20, 22, 26, 30, 41, 50, 51 (due 4/2). | - |
| 24 | M 3/31 | 3.4: Exponential growth, relative growth rate, doubling time | - | HW 15: p. 173: 1, 2, 3, 5 (due 4/3) | - |
| 25 | W 4/2 | 4.1: Maxima and minima | p. 203: 3, 5, 7, 23, 37 | HW 16: p. 203: 8, 24, 25, 29, 36, 38, 45, 51 (use a calculator to do the graph, 59 (due 4/7) | - |
| 26 | F 4/4 | 4.3: Derivatives and the shape of graphs: The first derivative | - | - | - |
| 27 | M 4/7 | 4.3 (con't): The second derivative | p. 217: 1, 11, 13, 15, 17, 23, 25 | HW 17: p. 217: 2, 3, 4, 19, 22, 24, 26 (due 4/9) | - |
| 28 | W 4/9 | 4.4: Curve sketching | p. 225: 1, 3, 5, 7, 9 | HW 18: p. 225: 4, 8, 10, 12, 13, 16, 27, 30 (due 4/15) | p. 225: 48 |
| 29 | F 4/11 | 4.5: Optimization problems | - | - | - |
| 30 | M 4/14 | 4.5 (con't). Worked on problems 4 and 19, p. 232. | - | HW 19: p. 232: 9, 11, 13 (due 4/18) | p. 232: 46 |
| 31 | W 4/16 | - | Quiz (a simple optimization problem) | - | - |
| - | - | 4.7: Antiderivatives | p. 246: 1, 3, 5, 7, 9, 13, 15, 23, 31, 33, 35 | HW 20: p. 246: 2, 6, 8, 10, 14, 16, 28 (due 4/25) | - |
| 32 | F 4/18 | Antiderivatives (con't): position, velocity, acceleration | - | - | - |
| 33 | M 4/21 | - | - | HW 21: p. 246: 32, 37, 41, 44 (due 4/28) | - |
| - | - | - | Review problems for test: p. 131: 13; p. 147: 15b; p. 158: 17, 25, 53; p. 166: 11, 19; p. 197: 63; p. 203: 39, 53 | - | - |
| 34 | W 4/23 | Test 3 (on the material through Section 4.1) | - | - | - |
| 35 | F 4/25 | 5.3: Areas under curves via the integral | p. 282: 31, 32 | - | - |
| 36 | M 4/28 | 5.1: Areas under curves via rectangles | p. 260: 1, 2, 3 | - | - |
| 37 | W 4/30 | Worksheet "Numerical estimation of definite integrals" | - | - | - |
| 38 | F 5/2 | Worksheet on accumulation functions | p. 272: 7, 29; p. 282: 1--17 odd, 23, 41, 43 | - | - |
| 39 | M 5/5 | - | - | - | - |
| - | Tu 5/6 | Review for final exam | - | - | - |