Lecture Notes | Textbook | Status | Suggested Problems (from 9th Edition) |
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L1. Four Ways to Represent a Function | 1.1 | C | P.17 # 3, 16, 17, 33, 34 |
L2. Four Ways to Represent a Function (Cont.d) | 1.1 | C | P.17 # 35, 37, 39, 45, 49, 51, 67, 71, 81-85 (Odd) |
L3. A Catalog of Essential Functions | 1.2 | C | |
L4. New Functions from Old Functions | 1.3 | C | P.42 # 3, 9-25 (Odd), 33-55 (Odd) |
L5. Exponential Functions | 1.4 | C | P.52 # 1, 9-19 (Odd), 29 |
L6. Inverse and Logarithmic Functions | 1.5 | C | P.64 # 3-13 (Odd), 17, 23 - 29 (Odd), 35, 43, 45, 53, 57 - 36 (Odd), 67, 69 - 78 (Odd) |
L7. The Tangent and Velocity Problem | 2.1 | C | P.82 # 1, 3, 5, 7 |
L8. The Limit of A Function | 2.2 | IP | P.92 # 5 - 11 (Odd), 19 - 41 (Odd) |
L9. Calculating Limits Using Limit Laws | 2.3 | IP | P.102 # 3-9 (Odd), 17-33 (Odd), 39-45(Odd), 51, 53 |
L10. Continuity | 2.5 | IP | P. # 5, 13, 15, 17, 21, 23, 29, 31, 35, 37, 43-49 (Odd), 55, 57, |
L11. Limits at Infinity; Horizontal Asymptotes | 2.6 | IP | P.137 # 5-9 (Odd), 13-41 (Odd), 47, 49, 63 |
L12. Derivatives and Rates of Change | 2.7 | IP | P.149 # 5-13 (Odd), 19- 29 (Odd), 33, 39, 43-51 (Odd), |
L13. The Derivative as a Function | 2.8 | IP | P.160 # 1, 5-15 (Odd), 21-31 (Odd), 33 (a-c), 57, 59 |
L14. Derivatives of Polynomials and Exponential fns | 3.1 | C |
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L15 The Product and Quotient Rules | 3.2 | C |
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L16 Trig Derivatives | 3.3 | C |
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L17 Chain Rule | 3.4 | C |
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L18 Implicit Differentiation | 3.5 | C |
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L19 Logarithmic Differentiation | 3.6 | IP |
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L20 Related Rates | 3.9 | IP |
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L21 Linear Approx and Differentials | 3.10 | IP |
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L22 Max and Min Values | 4.1 | IP |
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L23 Mean Value Theorem | 4.2 | IP |
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L24 How Derivatives Shape Graphs | 4.3 | IP |
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L25 L'Hospital's Rule | 4.4 | IP |
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L26 Curve Sketching (version without extra space for answers) | 4.5 | IP |
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L26 Curve Sketching (version with extra space for answers) | 4.5 | IP |
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L27 Optimization | 4.6 | IP |
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L28 Antiderivatives | 4.9 | IP |
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L29 The Substitution Rule | 5.5 | IP |
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L30 Separable Differential Equations | 9.3 | IP |
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