Math 3, Winter 2012
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) Specical class pending Friday 1/6: Meet during X-hour next week 2 1/9 1.5 Trigonometric functions. Slides, Print-out, After 1/11 1.6 Exponential and logarithmic functions. Slides, Print-out, After 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) 1/13 2.3, 2.4 Limits of functions. Limits at infinity. Slides, Print-out, Corrected slides 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 4 1/23 2.8 Differentiation rules. Slides, Print-out After 1/25 2.9, 2.12 Derivatives of trigonometric functions. Derivatives of exponentials. Slides, Print-out Help with the last problem (solns) 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 2/3 2.10, 3.5 The mean value theorem. Intervals of Increase/Decrease Issues in curve sketching (begin) Slides, Print-out After 6 2/6 3.5 Issues in curve sketching continued. Slides, Print-out After 2/8 2.17 Related Rates. Slides, Print-out, Extra practice + some solutions 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 2/22 4.7 Areas between curves. Slides, Print-outSolutions 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, 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.