Calculus I: Fall 2007 |
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This schedule is tentative and may be modified as necessary. |
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Date |
Reading |
Homework |
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Sept. 5 |
1.1: Four ways to represent a function |
1.1: 5, 6, 20, 28, 30, 34, 38, 44, 45, 64, 68, 69 Extra Knowledge (no credit) 1.1: 22, 32 |
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Sept. 10, 12 |
1.2, 1.3, 1.5, 1.6: A catalog of essential functions, New functions from old functions, Exponential functions, Inverse functions and logarithms |
1.2: 2, 4, 8, 9, 11, 18 1.3: 3, 12, 13, 30, 34, 39, 41, 51(a), 64 1.5: 14, 15, 25 1.6: 5, 9, 10, 15, 24, 38, 48, 61 Extra Knowledge (no credit) 1.6: 20 |
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Sept. 17, 19 |
2.1, 2.2, 2.3: The tangent and velocity problems, The limit of a function, Calculating limits using limit laws |
2.1: 2, 7 2.2: 2, 5, 8, 12, 14, 28 2.3: 1, 2, 4, 5, 9, 10, 13, 23, 36, 41, 46 Extra Knowledge (no credit) 2.2: 32, 2.3:37 |
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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 |
2.5: 4, 5, 6, 9, 12, 14, 19, 21, 33, 35, 37, 42, 45, 49 2.6: 3, 22, 28, 36 2.7: 6, 14, 28, 32, 37 2.8: 13, 19, 20, 24, 30(a-c) Extra Knowledge (no credit) 2.8: 55 |
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Oct. 1, 3 |
3.1, 3.2, 3.3 : Derivatives of polynomials and exponential functions, The product and quotient rules, Derivatives of trigonometic functions |
3.1: 3, 8, 10, 24, 27, 34, 36, 50(a,b), 52, 53, 54, 67 3.2: 12, 14, 28, 34, 47(a) 3.3: 2, 3, 10, 16, 24, 34, 39, 48 Extra Knowledge (no credit) 3.1: 65 |
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Oct. 8 |
1st Midterm The midterm will cover the material of the first two chapters. |
In order to prepare for this midterm you should redo the homework sets preceding the one due on 10/5/2007. |
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Oct. 10 |
3.4: The chain rule |
3.4: 1, 4, 11, 12, 20, 26, 40, 41, 48, 52, 62, 78 Extra Knowledge (no credit) 3.4: 74 |
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Oct. 15, 17 |
3.5, 3.6, 3.9: Implicit differentiation, Derivatives of logarithmic functions, Related rates |
3.5: 4, 8, 23, 26, 34, 41, 50, 60, 68 3.6: 2, 3, 21, 25, 28, 31, 33, 45, 49 3.9: 3, 16 Extra Knowledge (no credit) 3.5: 42, 3.6: 54 |
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Oct. 22, 24 |
3.10, 4.1, 4.2: Linear approximations and differentials, Maximum and minimum values, The Mean Value Theorem |
3.10: 2, 11, 17, 23, 37 4.1: 4, 7, 30, 34, 36, 44, 47, 59, 70 4.2: 1, 4, 6, 14, 17, 27, 32 Extra Knowledge (no credit) 4.1: 76, 4.2: 21 |
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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 |
4.3: 10, 14, 15, 16, 21, 23, 43, 47, 68, 72(a) 4.4: 5, 13, 15, 17, 39, 40, 46, 52, 53, 60 4.5: 2, 22, 31, 32, 54 Extra Knowledge (no credit) 4.3: 69, 4.4: 70 |
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Nov. 7 |
4.7, 4.8: Optimization problems, Newton's method |
4.7: 5, 11, 18, 38, 41 4.8: 3, 5, 40 Extra Knowledge (no credit) 4.7: 59 |
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Nov. 12 |
2nd Midterm This midterm will cover the material up to section 4.5. |
In order to prepare for this midterm you should redo the five homework sets preceding the one due on 11/9/2007. |
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Nov. 14 |
4.9: Antiderivatives |
4.9: 2, 5, 9, 12, 15, 26, 34, 46, 47, 63 Extra Knowledge (no credit) 4.9: 71 |
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Nov. 19, 21 |
5.1, 5.2, 5.3: Areas and distances, The definite integral, The Fundamental Theorem of Calculus |
5.1: 4, 12, 17, 20 5.2: 7, 17, 22, 28, 34, 36, 40, 42, 48, 50, 54, 65 5.3: 2, 7, 14, 18, 21, 29, 37, 41, 44, 52, 54, 58 Extra Knowledge (no credit) 5.1: 26, 5.2: 67 |
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Nov. 26, 28 |
5.4, 5.5, 6.1: Indefinite integrals and the Net Change Theorem, The substitution rule, Areas between curves |
5.4: 3, 6, 12, 18, 22, 30, 32, 44, 47, 52 5.5: 1, 4, 5, 14, 22, 30, 38, 58, 66, 69 6.1: 6, 15, 27, 32 Extra Knowledge (no credit) 5.5: 88 |
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Dec. 3, 5 |
6.2, 6.3, 6.5: Volumes, Volumes by cylindrical shells, Average value of a function |
6.2: 3, 6, 44, 50 6.3: 4, 14, 18, 22, 30, 42, 43, 44 6.5: 1, 5, 10, 18(b) Extra Knowledge (no credit) 6.5: 14 |
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Dec. 10 |
Review |
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