Calculus Chapter 5 Logarithmic, Exponential and other Transcendental Functions
Date Assigned | Activity | Assignment | Learning Objective | Date Due |
1/29 2/2 | 5.1 The Natural Logarithmic Function: Differentiation Read pp 312-323 | Prob: 4, 12, 16, 18, 20, 22, 26, 32, 48, 54, pp 321-322
| Students will know how to apply the properties of logarithms. Students will be able to find the derivative of a natural logarithmic expression and know how to apply the chain rule. | 1/30 |
2/3 | 5.2 The Natural Logarithmic Function: Integration Read pp 324-331 | Prob: 4, 8, 14, 18, 26 p 330 | Students will be able to integrate rational functions. Students will be able to use long division to simplify rational expressions. Students will be able to use substitution to simplify rational expressions. |
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2/10 | 5.3 Inverse Functions Read pp 332-340 | Prob: 4, 8, 18, 20, 26, 28, 32 p 338 | Students will be able to determine the derivative of inverse functions. |
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2/16 2/18 | 5.4 Exponential Functions: Differentiation and Integration Read pp 341-350 | Prob: Pt1: 2, 4, 6, 10, 14, 32, 42 pp347-348 Pt2: 70, 88, 92, 94, 96, 104 p 349
| Students will solve for the number value of an unknown in logarithmic and exponential equations. Students will use the first and second derivative to locate extrema and inflection points. Students will integrate exponential expressions. |
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Extended absence for medical reasons | ||||
3/4 3/10 | 5.5 Bases Other than e and Applications Read pp 351-359 | Prob: Pt1: 6, 12, 20, 22, 26, 42, 50 p 357 Pt2: 28, 46, 62, 66, 78, 80, 84, 86 pp 357-359 | Students will take the derivative of a non e base exponential or logarithmic expression. Students will solve for the unknown in a non e base situation. Students will integrate a non e base exponential or logarithmic expression. |
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3/13 | Review Ch 5 Pt 1
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| Students will review chapter concepts and objectives. | 3/17 |
3/19 | Test Ch 5 Pt 1
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| Students will demonstrate proficiency in the above objectives at 70% or better. | 3/19 |
3/18 | 5.6 Differential Equations: Growth and Decay Read pp 361-368 | Prob: 2, 6, 12, 16, 18, 22, 34, 45, 63 pp 366-367
| Students will be able to solve differential equations of the form y’ = ky and apply the results to compounding interest, radioactive decay and population models. |
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4/6 | 5.7 Differential Equations: Separation of Variables Read pp 369-379 | Prob: 2, 10, 14, 22, 26, 32, 40, 48, 58 pp 377-378 | Students will be able to solve more complex differential equations. |
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4/8 4/14 | 5.8 Inverse Trigonometric Functions: Differentiation Read pp 380-387 | Prob: Pt 1: 6-28 Even p 386; Pt 2 42-52 Even p 386
| Students will be able to differentiate inverse trigonometric functions and use these patterns for future integration patterns. | 4/10 4/15 |
4/16 | 5.9 Inverse Trigonometric Functions: Integration Read pp 388-394 | Prob: 2-36 Even p 393 | Students will be able to solve integration problems involving inverse trigonometric functions as results. | 4/20 |
4/22 | 5.10 Hyperbolic Functions Read pp 395-404 | Prob: Pt 1: 2-14 Even p 403 Pt 2: 16-28 Even p 403 Pt 3: 40-54 Even p 403 | Students will be able to perform differentiation and integration with hyperbolic functions. | 4/24 |
4/23 | Review Ch 5 Pt 2
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| Students will review chapter concepts and objectives. | 5/1 |
5/5 | Test Ch 5 Pt 2
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| Students will demonstrate proficiency in the above objectives at 70% or better. | 5/5 |