| # | Date | Topics | Homework |
|---|---|---|---|
| 1 | M 1/30 | Introduction: What is calculus? Three examples: Mathematical modeling of the SARS epidemic and stock prices, and predator-prey model. | - |
| 2 | W 2/1 | Sec. 1 | HW 1: p. 8: 1--11 odd, 17, 18 (due 2/3) |
| 3 | F 2/3 | (discuss homework) | HW 2: p. 8: 2--12 even |
| 4 | M 2/6 | average instantaneous velocity, slope of secant and tangent line | HW 3: on handout: 3a, 5a, 7a (due 2/8) |
| 5 | W 2/8 | Discuss 3a (secant lines approach tangent line). Product rule | HW 4: p. 19 (Sec 3): 1--4, 11 (due 2/10) |
| 6 | F 2/10 | Sec 3: product and quotient rules | HW 5: On handout: 3bc, 5bc, 7bc (due 2/13). HW 6: p. 19 (Sec 3): 5--10 (2/13 if possible) |
| 7 | M 2/13 | Illustrate zooming | - |
| 8 | W 2/15 | Sec. 4: chain rule | HW 7: p. 25 (Sec 4): 1, 3, 5, 7 |
| 9 | F 2/17 | Sec. 5: extended power rule | HW 8: p. 33 (Sec 5): 1, 3, 5, 8, 9 (due 2/20) |
| 10 | M 2/20 | Quiz 1 | HW 9: Lab 1 (due 2/22) |
| 11 | W 2/22 | Sec. 2: The derivative and the shape of the graph | HW 10: Problem 4 on handout (due 2/24) |
| 12 | F 2/24 | [no class] | - |
| 13 | M 2/27 | Quiz 2 (on all the differentiation rules) | - |
| - | - | Trigonometry | HW 11: Problems 1, 2, 3 on "trigonometry review" worksheet. |
| 14 | W 3/1 | - | - |
| 15 | F 3/3 | Test I (on material through 2/22) | - |
| 16 | M 3/6 | Sec 6: Derivatives of sin and cos, also extended rules (p. 37 bottom) | HW 12: p. 40 1--7 (due 3/8) |
| 17 | W 3/8 | - | HW 13: p. 26: 9; Problems 1, 2, 3 on worksheet "The derivative in other sciences" |
| 18 | F 3/10 | Implicit differentiation (p. 25) | - |
| 19 | M 3/13 | [hand back tests] | - |
| - | - | Worksheet on the graph of y=x and y=sin(x) (problem 60) | - |
| 20 | W 3/15 | Implicit differentiation (con't) | HW 14: p. 26 10, 15 (due 3/29) |
| - | F 3/17 | [no class] | - |
| 22 | M 3/27 | Tangent and normal lines to a curve | - |
| - | - | The definition of the derivative (handout from Osgood) | - |
| 23 | W 3/29 | e (Section 9) | HW 15: |
| 24 | F 3/31 | ln | HW 16: p. 84: 42--48 (due 4/3) |
| 25 | M 4/3 | - | HW 17: Problem 4 on handout "The derivative in the sciences"--do in two ways. (due 4/5) |
| 26 | W 4/5 | Discuss HW 17 | - |
| 27 | F 4/7 | Q & A | - |
| 28 | M 4/10 | Q & A | - |
| 29 | W 4/12 | Introduction to differential equations. Exponential growth | HW 18: p. 89: 1, 2 (due 4/14) |
| - | - | - | Practice problems on trigonometric derivatives: Handout: 1, 6, 8, 10, 11, 20 (do not hand in) |
| 30 | F 4/14 | Quiz 4 (on trigonometric derivatives) | - |
| 31 | M 4/17 | Review for test | Review problems (not to be handed in): see below |
| 32 | W 4/19 | Test II (note change in date) | - |
| 33 | F 4/21 | Higher derivatives (Section 11) | HW 19: 1, 2, 5 |
| 34 | M 4/24 | Antidifferentiation (Section 12) | HW 20: p. 107: 1, 3, 7--10 |
| - | - | - | HW 21: Worksheet on shapes of graphs: 1, 5, 7 |
| 35 | W 4/26 | [discuss derivatives and graphs] | - |
| 36 | F 4/28 | Talks: Ecology (Allyce, Isabelle); Economics (Valerie, Krasina); Drug dosage (Lauren) | - |
| 37 | M 5/1 | Talk: Pi (Clara, Edise) | - |
| 38 | W 5/3 | Finding areas as limit of rectangles | HW 22: Worksheet: 1, 3 (due 5/5) |
| - | - | Calculator for finding areas using rectangles | - |
| - | - | Talk: Dating the earth (Elise, Leah) | - |
| 39 | F 5/5 | Finding areas as limits of rectangles; the Fundamental Theorem of Calculus | HW 23: p. 136: 1, 3, 6, 11, 13, 15, 17, 18 |
| 40 | M 5/8 | Talks: Glottochronology (Nick, Rebecca); Arcadia (Julia); Modelling memorization (Abeer, Yaba) | - |