This schedule is tentative and may be modified as the course progresses. Please read the relevant textbook sections before the lecture.
| DATE | READING | HOMEWORK | Exercises (NOT to be handed in) |
| Sept. 5th | 1.1,1.2: Four ways to represent a function, A catalog of essential functions |
#1 Due 09/17
1.1: : 5, 6, 20, 28, 34, 38, 44, 45, 69 1.2:: 2, 4, 8, 11 1.3: 5, 10 |
1.1: 21, 24, 30, 64, 68 1.2: 1, 3, 9, 18 1.3: 17, 31-35, 41, 43 |
| Sept. 10, 12 | 1.3, 1.5, 1.6: New functions from old functions, Exponential functions, Inverse functions and logarithms |
#2 Due 09/24
1.5: 20, 25 1.6: 22, 38, 67 2.2 4, 26 |
1.5:7-12, 14, 15, 16, 26 1.6:3-11, 17, 21-25 odd, 39, 47, 49, 59-61 2.1: 5,6 2.2: 3-9 odd, 13, 29, 40 |
| Sept. 17, 19 | 2.1, 2.2, 2.3: The tangent and velocity problems, The limit of a function, Calculating limits using limit laws | See next Week | See Next Week |
| Sept. 24, 26 | 2.5, 2.6, 2.7, 2.8: Continuity, Limits at infinity and horizontal asymptotes, Derivatives and rates of change, The derivative as a function |
#3 Due 10/01
2.3: 4, 18 2.5: 12, 41, 47 2.6: 20 2.7: 8, 28 2.8: 9 3.1: 11 |
2.3: 2, 3-25 odd, 37, 46, 49, 52 2.5: 3, 11, 13, 14, 17, 21-27 odd, 35 2.6: 3, 17-35 odd, 49 2.7: 3, 5, 7, 13, 25-29 odd 2.8 3, 5, 19, 23, 25, 35 |
| Oct. 1, 3 | 3.1, 3.2, 3.3 : Derivatives of polynomials and exponential functions, The product and quotient rules, Derivatives of trigonometic functions | No Homework this week |
3.1: 7-33 odd 47, 49 |
| Oct. 8 | | | |
| Oct. 10 | 3.4: The chain rule |
#4 Due 10/15
3.2: 4, 32, 41, 44 3.3: 4, 18, 29, 35 |
3.2: 3-11 odd, 25-29 odd, 43 3.3: 1-15 odd, 19, 33 |
| Oct. 15, 17 | 3.5, 3.6, 3.9: Implicit differentiation, Derivatives of logarithmic functions, Related rates |
#5 Due 10/21
3.4: 24, 32, 75, 82 3.5: 10, 23, 46, 52 |
3.4: 1-5 odd, 9, 23-35 odd, 41 3.5: 9-17 odd, 27, 33-35 odd, 45-51 odd |
| Oct. 22, 24 | 3.10, 4.1, 4.2: Linear approximations and differentials, Maximum and minimum values, The Mean Value Theorem |
#6 Due 10/29
3.6 : 12, 40, 42 3.9: 5, 16 4.1: 24, 28, 59 |
3.6: 7-15 odd, 37-47 odd 3.9: 6, 15, 27 4.1: 3-5 odd, 21, 33, 39, 43, 49, 53, 57, 61 |
| Oct. 29, 31 | 4.4, 4,3, 4.5: Indeterminate forms and l'Hospital's rule, How derivatives affect the shape of a graph, Summary of curve sketching |
#7 Due Wednesday 11/7
4.2:3, 12 4.3: 10, 21, 36, 45 4.4: 12, 43, 52 |
4.2: 5, 13,17 4.3: 11-15 odd, 35, 39, 43 4.4: 5, 11, 15, 19, 21, 31, 39, 51 |
| Nov. 7 | 4.7, 4.8: Optimization problems, Newton's method |
NONE
|
NONE |
| Nov. 12 | | | |
| Nov. 14 | 4.7: Optimization problems |
See Next Week
|
None |
| Nov. 19, 21 | 4.8, 4.9, 5.1, 5.2: Newton's Method, Antiderivatives, Areas and distances, The definite integral |
#8 Due 11/26
4.7: 12, 46, 54 4.8: 8, 12 4.9: 12, 39, 51(Hint: see example 5), 58 |
4.7: 3,9, 17, 19, 23, 35 4.8: 5, 7, 11 4.9: 3, 11, 15, 25, 33, 41, 57, 61 |
| Nov. 26, 28 | 5.3 , 5.4, 5.5: Indefinite integrals and the Net Change Theorem, The substitution Rule |
#9 Due 12/3
5.1: 2, 17, 22 5.2: 18, 24, 30 (Hint: pg 369), 38 5.3: 14 (Hint: Ex. 4), 29 5.4: 13,23,37 |
5.1: 1, 27, 19 5.2: 17-25 odd, 33, 35 5.3: 7, 9, 13, 19, 23, 33, 43 5.4: 1, 3, 7, 11, 21, 27, 33 |
| Dec. 3, 5 | 6.1, ? : Areas between curves |
#10 Due 12/10
5.5: 24, 60,67, 80 |
5.5: 7-13 odd, 19-29 odd, 41, 59, 69 6.1: 5-11 odd, 17, 23 6.2: 1-9 odd |
| Dec. 10th | | | |