Math 3, Fall 2013
Calculus


Day-to-day | General Info | Resources
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Day to day: Reading, topics, and notes

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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.