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08/28
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5.1 Estimating with Finite Sums |
5.1: 3, 7, 20, 21, 22 |
HW1 due 08/31 - 09/2 |
HW1 Solution |
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08/31 - 09/2-4
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5.2-4 Sigma Notation and Limits of Finite Sums The Definite Integral The Fundamental Theorem of Calculus |
5.2: 2, 8, 16, 18c 5.3: 6, 10f, 21, 62, 71 5.4: 13, 28, 36, 43, 60 WS #1: Derivatives re-visited |
HW2 due 09/9-11 |
HW2 Solution WS1 Solution |
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09/7-9-11
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5.5-6, 9.1 Indefinite Integrals and the Substitution Rule Substitution and Area Between Curves Separable ODEs & IVPs |
5.5: 7, 19, 36, 50, 60 5.6: 7, 37, 46, 86 9.1: click here WS #2: Averages |
HW3 due 09/16-18 |
HW3 Solution WS2 Solution |
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09/14-16-18
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6.1-3 Volumes by Slicing and Rotation About an Axis Volumes by Cylindrical Shells Lengths of Plane Curves |
6.1: 1, 7, 43, 46, 56 6.2: 3, 13, 21, 24, 36 6.3: 2, 11, 26, 28, 30 WS #3: Lake |
HW4 due 09/23-25 |
HW4 Solution WS3 Solution |
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09/21-23-25
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6.4-7 Moments and Centers of Mass Areas of Surfaces of Revolution (Pappus) Work Fluid Pressures and Forces |
6.4: 4, 7, 23, 28, 40 6.5: 9, 15, 28, 33, 36, 42 6.6: 7, 36 6.7: 14, 17 WS #4: Going up |
HW5 due 09/30 - 10/2 |
HW5 Solution WS4 Solution |
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9/28-30 - 10/2
First prelim 10/1 covers through Section 6.7 |
Review & 7.1-2 Inverse Functions and Derivatives Natural Logarithms |
7.1: 16, 29, 32, 34, 42, 50 7.2: 2, 22, 41, 54, 58 |
HW6 due 10/7-9 |
HW6 Solution |
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10/5-7-9
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7.3-5, 7.8 The Exponential Function a^x and log_a x Exponential Growth and Decay Hyperbolic Functions |
7.3: 4, 30, 36, 54, 68 7.4: 8, 22, 46, 67, 96 7.5: 2, 6, 10, 18, 25 7.8: 10, 12, 77, 87 WS #5: Chemical reactions |
HW7 due 10/14-16 |
HW7 Solution WS5 Solution |
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10/14-16
Fall break 10/10-13 |
7.6-7 Relative Rates of Growth Inverse Trigonometric Functions |
7.6: 4, 6, 8, 10, 18, 24 7.7: 6, 10, 24, 36, 124, 138 |
HW8 due 10/21-23 |
HW8 Solution |
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10/19-21-23
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8.1-3 Basic Integration Formulas Integration by Parts Partial Fractions |
8.1: 33, 42, 54, 60, 66 8.2: 6, 7, 22, 28, 40 8.3: 6, 16, 20, 21, 34, 38, 50 WS #6: Tension |
HW9 due 10/28-30 |
HW9 Solution WS6 Solution |
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10/26-28-30
Second prelim 10/29 covers through section 8.3 |
Review & 8.4-5 Trigonometric Integrals Trigonometric Substitutions |
8.4: 10, 16, 45, 46 8.5: 2, 8, 34, 45 |
HW10 due 11/4-6 |
HW10 Solution |
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11/2-4-6
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8.7-8 & 11.1 Numerical Integration Improper Integrals Sequences |
8.7: 8, 12, 22, 31, 34 8.8: 6, 24, 58, 68, 78 11.1: 12, 32, 50, 82, 88, 128 WS #7: Harmonic oscillator |
HW11 due 11/11-13 |
HW11 Solution WS7 Solution |
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11/9-11-13
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11.2-4 Infinite Series The Integral Test Comparison Tests |
11.2: 6, 11, 19, 30, 48, 73, 74, 75 11.3: 6, 14, 28, 32, 39 11.4: 4, 9, 28, 34, 36, 40 WS #8: Escape velocity |
HW12 due 11/18-20 |
HW12 Solution WS8 Solution |
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11/16-18-20
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11.5-7 The Ratio and Root Tests Alternating Series Power Series |
11.5: 2, 10, 14, 22, 26 11.6: 6, 18, 39, 40, 48, 58 11.7: 10, 20, 21, 24, 36, 41 WS #9: Light source |
HW13 due 11/23-25 |
HW13 Solution WS9 Solution |
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11/23-25
Thanksgiving HW13 is due on Monday/Tuesday/Wednesday before Thanksgiving |
11.8-9 Taylor and Maclaurin Series Convergence and Error Estimates |
11.8: 2, 12, 22, 25, 32 11.9: 6, 14, 23, 24, 40, 42 |
HW14 due 12/2-4 |
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11/30 - 12/2-4
Third prelim 12/1 covers through section 11.9 Final is on December 10th |
11.10 & Review Applications of Power Series |
11.10: 2, 20, 52, 65, 70 |
HW15 due 12/2-4 |