| # | Date | Topics | Homework |
|---|---|---|---|
| 1 | F 9/5 | Introduction: What is calculus? Three examples: Mathematical modeling of the SARS epidemic and stock prices, and methods for the computation of pi. | - |
| 2 | M 9/8 | (1.2) Using equations of lines | (Assn. 1) p. 35: 9,11,13 (due Th 9/11) |
| - | - | (2.1) Calculating the slope of curves | (Assn. 2) p. 91: 3, 4 (due M 9/15) |
| - | T 9/9 | Introduction to GraphCalc | Assn C1 (handout, due F 9/12) |
| 3 | W 9/10 | The derivative | - |
| 4 | F 9/12 | Quiz 1. (2.9) Visualization of the derivative | Assn. 3, p. 173: 1, 4, 6 (due 9/16) |
| 5 | T 9/16 | (2.9, con't) Calculating the derivative using the definition | Assn. 4, p. 173: 21, 25, 27 (due 9/22) |
| 6 | W 9/17 | Introduction to COW | - |
| 7 | F 9/19 | Quiz 2 (doesn't count for grade). (3.1) Derivatives of polynomials | Assn. 5: p. 191: 3--15 odd (due 9/23). |
| 8 | M 9/22 | (3.2) Product rule | Assn. 6: p. 191: 19--29 odd. p. 197: 1 |
| - | Tu 9/23 | Review properties of exponents (p. 57); discuss hw | - |
| 9 | W 9/24 | (3.2) Quotient rule | HW 7: p. 197: 2, 7 (due 9/29) |
| 10 | F 9/26 | (3.1) e^x | HW 8: p. 197: 3, 5, 9, 11, 17, 19, 21 (due 10/1) |
| 11 | M 9/29 | (3.1, 3.2) Equations of tangent lines, find where horizontal. | HW 9: p. 191: 39, 45 (due 10/3) |
| - | Tu 9/30 | Mountain Day! | - |
| 12 | W 10/1 | Maria Agnesi Calculus book | Review problems for exam (do not hand in): p. 178: 44, 47; p. 270 T/F: 1, 2; p. 271: 6, 8, 56 (not #4; do 3 instead) |
| 13 | F 10/3 | Review for exam | - |
| 14 | M 10/6 | Exam I | - |
| - | Tu 10/7 | Review trigonometry | - |
| 15 | W 10/8 | (3.4) Derivatives of trigonometric functions | HW 10: p. 216: 1, 3, 5, 9, 11, 13, 18, 21 (due 10/17) |
| 16 | F 10/10 | Review of trigonometry (worksheet, available in envelope on my bulletin board; do not hand in) | - |
| 17 | W 10/15 | (no class) | - |
| 18 | F 10/17 | go over exam I | - |
| 19 | M 10/20 | (3.5) Chain rule | HW 11: p. 224: 7, 9, 13, 15, 17, 20, 27, 35, 40 (due 10/23) |
| - | - | - | HW 12: p. 173: 12; p. 191 (Corrected page number): 51(due 10/27) |
| - | Tu 21/10 | Discuss chain rule hw | - |
| 20 | W 10/22 | Chain rule (con't) | - |
| 21 | F 10/24 | (3.6) Implicit differentiation | HW 13: p. 233: 1, 3, 9, 17, 25, 29 (due 10/28) |
| 22 | M 10/27 | (3.7) Higher derivatives | HW 13: p. 240: 1, 2, 5, 7, 11 (due 11/4) |
| - | - | - | HW 14: p. 191: 50; p. 233: 38 (due 11/4) |
| 23 | W 10/29 | (3.8) Derivatives of logarithms | HW 15: p. 245: 2, 3, 7, 9, 11, 15, 31 (due 11/5) |
| - | - | - | Review problems for exam (will discuss Friday; do not hand in): p. 270 (T/F): 4,5; p. 271: 4, 15, 22, 26, 58, 63 |
| 24 | F 10/31 | Review for exam | - |
| 25 | M 11/3 | Exam II (On material through 3.6) | - |
| 26 | W 11/5 | (4.1) Maxima and minima | HW 15: p. 286: 3, 5, 15, 17, 25, 31, 33, 47, 49 (due 11/11) |
| 27 | F 11/7 | (4.3) How f' and f'' affect the shape of the graph of y=f(x) | HW 16: p. 304: 1, 2, 5, 7, 11, 14 (check the last two with a calculator or graphcalc; due ? |
| 28 | M 11/10 | (4.6) Examples of functions where both calculus and calculators are needed. | - |
| 29 | W 11/12 | (9.4) Exponential growth | HW 17: p. 620: 1, 2, 5, 6 (due 11/19) |
| 30 | F 11/14 | - | - |
| 31 | M 11/17 | Exponential decay | HW 18: Do the three problems at the end of this web site (due 11/20) Carbon-14 |
| 32 | W 11/19 | (4.7) Applied max-min | HW 19: p. 336: 1, 4, 9; also problem C1 (see below; extra credit) (due 11/25) |
| 33 | F 11/21 | - | - |
| 34 | M 11/24 | (4.9) Newton's method | HW 20: p. 351: 1, 4 (use handout for these two problems), 9 (due 12/4); Also handout on Newton's method (extra credit) |
| 35 | M 12/1 | (5.4) Indefinite integrals (antidifferentiation) | HW 21: p. 411: 1, 2, 5, 6, 7, 9, 12, 13 (due 12/5) |
| 36 | W 12/3 | (5.1) area as limiting sum of area of rectangles, definite integral | HW 22: p. 378: 1,5 (due 12/8) |
| 37 | F 12/5 | Worksheet "Numerical estimation of definite integrals" (using Calcwin). Hand in one sheet for each group | HW 24: Problem C2 (below); p. 402: 19, 21, 25, 27, 31, 39 (due 12/9) |
| 38 | M 12/8 | Differential equations (solving the exponential growth de, geometric Brownian motion, predator-prey | Review problems (Do not hand in): p. 178: 42, 45; p. 271 T/F: 9, also pick a few differentiation problems at random to do; p. 361 T/F: 1, 10; p. 362: 4; p. 392: 33; p. 337: 10. |
| 39 | W 12/10 | Review | - |
| - | F 12/12 | Additional review session 11 am in Clapp 401 | All homework assignments and rewrites are due by 5pm |
| - | - | (The final exam is self-scheduled, and is cumulative) | - |
C2. Find the area bounded by the curve y = sin x and the x-axis, and between (a) x=0 and x=pi/2, (b) x=0 and x=pi, (c) x=0 and x=3pi/2, (d) x=0 and x=2pi