Calculus
General Info | Day-to-day | Resources
WeBWorK | KLD Book Site | Calculus On Demand
Day to day: Reading, topics, and notes
| wk. | date | reading | topic | Notes | |
| 1 | 1/4 | 1.2 1.3 1.4 |
Lines in the Plane. Functions and their graphs. New functions from old. |
Slides,
Print-out, After, Worksheet (solns) |
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| Specical class pending Friday 1/6: Meet during X-hour next week | |||||
| 2 | 1/9 | 1.5 | Trigonometric functions. | Slides,
Print-out, After |
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| 1/11 | 1.6 | Exponential and logarithmic functions. | Slides,
Print-out, After |
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| 1/12 (X) | 2.2, 2.1 |
The legacy of Galileo, Newton, and Leibniz. Modeling rates of change: introduction. |
Slides,
Print-out, Spreadsheet (with everything in) |
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| 1/13 |
2.3, 2.4 |
Limits of functions. Limits at infinity. |
Slides,
Print-out, Corrected slides |
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| No class on Monday 1/16: Meet during X-hour this week | 3 | 1/18 | 2.5 | Continuity. | Slides, Print-out |
| 1/19 (X) | 2.6 | Tangent lines and their slopes. |
Worksheet | ||
| 1/20 | 2.7 | The derivative. | Slides,
Print-out After |
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| 4 | 1/23 | 2.8 | Differentiation rules. | Slides,
Print-out After |
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| 1/25 | 2.9, 2.12 |
Derivatives of trigonometric functions. Derivatives of exponentials. |
Slides,
Print-out Help with the last problem (solns) |
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| 1/27 |
2.11 |
Implicit differentiation. | Scanned notes (3 sets) | ||
| 5 | 1/30 |
2.12, 4.10 |
Derivatives of logarithmic functions Inverse trigonometric functions | Slides,
Print-out After | |
| EXAM 1: Monday 3:30-4:45pm. Sections 1.2-2.9 + exponential functions in 2.12 | |||||
| 2/1 | 2.13, 2.14 |
Newton's method. Linear approximations. |
Slides,
Print-out, Spreadsheet, After |
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| 2/3 | 2.10, 3.5 |
The mean value theorem. Intervals of Increase/Decrease Issues in curve sketching (begin) |
Slides,
Print-out After |
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| 6 | 2/6 | 3.5 | Issues in curve sketching continued. | Slides,
Print-out After |
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| 2/8 | 2.17 | Related Rates. | Slides,
Print-out, Extra practice + some solutions |
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| 2/9 (X) | 3.6 | Optimization. | Slides, Print-out | No class on Friday 1/10: Meet during X-hour this week | |
| 7 | 2/13 | 2.15, 2.16 |
Antiderivatives and initial value problems. Velocity and acceleration. |
Slides, Print-out | |
| 2/15 | 4.1 4.6 |
Modeling accumulations: introduction. Trappezoid rule (omit Simpson's rule) |
Slides, Print-out | ||
| EXAM 2: Wednesday 3:30-4:45pm. All subjects from Implicit Differentiation (1/27) to Optimization (2/9) inclusive. Rewrite cover sheet | |||||
| 2/17 | 4.2, 4.3 |
The definite integral. Properties of the definite integral. |
Slides, Print-out | ||
| 8 | 2/20 | 4.4, 4.5 |
The fundamental theorem of calculus. Techniques of integration (omit integration by parts). |
Slides,
Print-out After |
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| 2/22 | 4.7 | Areas between curves. | Slides,
Print-out Solutions |
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| 2/24 | 4.9 | Arc length. | Slides, Print-out | ||
| 9 | 2/27 | 3.1 | Modeling with differential equations: introduction. Separable differential equations: first look. |
Slides,
Print-out After, |
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| 2/29 | 3.2, 3.3 |
Exponential growth and decay. Separable differential equations. |
Slides, Print-out | ||
| 3/2 | 3.4 | Slope fields and Euler's method | Slides, Print-out | ||
| 10 | 3/5 | Review of course | |||
| 3/7 | Review of course | ||||
| FINAL EXAM: 3/10, 3-5pm Cumulative, with an emphasis on topics from 2/13 and on. | |||||