Calculus
Day-to-day | General Info | Resources
WeBWorK | KLD Book Site | Calculus On Demand
Day to day: Reading, topics, and notes
wk.  | date | reading | topic | Notes | |
1 | 9/16 | 1.2 1.3 1.4 |
Lines in the Plane. Functions and their graphs. New functions from old. |
Print-out, class notes Typos from worksheet |
|
9/18 | 1.5 | Trigonometric functions. | Print-out, class notes | ||
9/20 | 1.6 | Exponential and logarithmic functions. | Print-out, class notes | ||
2 | 9/23 | 2.2, 2.1 |
The legacy of Galileo, Newton, and Leibniz. Modeling rates of change: introduction. |
Print-out,
initial spreadsheet, filled-in spreadsheet, class notes |
|
9/25 |
2.3, 2.4 |
Limits of functions. Limits at infinity. |
Print-out, class notes | ||
9/27 | 2.5 | Continuity. | Print-out, class notes | ||
3 | 9/30 | 2.6 | Tangent lines and their slopes. | Print-out, solutions | |
10/2 | 2.7 | The derivative. | Print-out, class notes | ||
10/4 | 2.8 | Differentiation rules. | Print-out, class notes | ||
4 | 10/7 | 2.9, 2.12 |
Derivatives of trigonometric functions. Derivatives of exponentials. |
Print-out, class notes | |
10/9 | 2.11 | Implicit differentiation. | Print-out, class notes | ||
10/11 |
2.12, 4.10 |
Derivatives of logarithmic functions Inverse trigonometric functions | Print-out, class notes | ||
5 | 10/14 | 2.13, 2.14 |
Newton's method. Linear approximations. |
Print-out, class notes | |
10/16 | 2.10, 3.5 |
The mean value theorem. Intervals of Increase/Decrease Issues in curve sketching (begin) |
Print-out, class notes | ||
EXAM 1: Wednesday 7pm. Solutions | |||||
10/18 | 3.5 | Issues in curve sketching continued. | Print-out, class notes | ||
6 | 10/21 | 2.17 | Related Rates. | Print-out, class notes, solutions, and more practice | |
10/23 | 3.6 | Optimization. | Print-out, class notes and solutions | ||
10/25 | 2.15, 2.16 |
Antiderivatives and initial value problems. Velocity and acceleration. | Print-out, class notes | ||
7 | 10/28 | 4.1 4.6 |
Modeling accumulations: introduction. Trappezoid rule and Simpson's rule |
Print-out, class notes | |
10/30 | 4.2, 4.3 |
The definite integral. Properties of the definite integral. |
Print-out, class notes | ||
11/1 | 4.4, 4.5 |
The fundamental theorem of calculus. Techniques of integration (omit integration by parts). |
Print-out, class notes | ||
8 | 11/4 | 4.7 | Areas between curves. | Print-out, class notes | |
11/6 | 4.9 | Arc length. | <Print-out, class notes | ||
EXAM 2: Wednesday 7pm. Solutions | |||||
11/8 | 3.1 | Modeling with differential equations: introduction. Separable differential equations: first look. |
Print-out, class notes | ||
9 | 11/11 | 3.2, 3.3 |
Exponential growth and decay. Separable differential equations. |
Print-out, class notes | |
11/13 | 3.4 | Slope fields and Euler's method | Print-out, class notes | ||
11/15 | Review of course | review topics, M3F2011 Final and solutions | |||
10 | 11/18 | Review of course | |||
FINAL EXAM: 11/22, 11:30am Cumulative. |