 MAT 131: Calculus I
Fall 2011

## Syllabus

The following is the tentative syllabus for MAt 131.
• Week 1, August 29th — September 2nd
Section 1.1 Four ways to represent a function, p. 12
Section 1.2 Mathematical models: A catalog of essential functions, p. 25
Appendix C Trigonometry, p. A17

• Week 2, September 6th — September 9th
(Note: no classes on Sept 5 - Labor day)
Section 1.5 Exponential functions, p. 52
Section 1.6 Inverse functions and logarithms, p. 63

• Week 3, September 12th — September 16th
Section 2.1 The tangent and velocity problems, p. 90
Section 2.2 The limit of a function, p. 95
Section 2.3 Calculating limits using the limit laws, p. 104

• Week 5, September 19th — September 23th
Section 2.4 Continuity, p. 113
Section 2.5 Limits involving infinity, p. 124
Section 2.6 Derivatives and rates of change, p. 135

• Week 5, September 26th — Sept 30
(Note: no classes on Sept 29-30 - Rosh Hashanah)
Section 2.7 The derivative as a function, p. 146
Section 2.8 What does f' say about f?, p. 158

• Week 6, October 3th — October 7th
Section 3.1 Derivatives of polynomials and exponential functions, p. 183
Section 3.2 The product and quotient rules, p. 193

• Week 7, October 10th — October 14th
Section 3.3 Derivatives of trigonometric functions, p. 213
Section 3.4 The chain rule, p. 220

• Week 8, October 17th — October 21nd
Section 3.5 Implicit differentiation, p. 232
Section 3.6 Inverse trigonometric functions and their derivatives, p. 216
Section 3.7 Derivatives of logarithmic functions, p. 240

• Week 9, October 24th — October 28th
Section 3.9 Linear approximations and differentials, p. 240
Section 4.1 Related rates, p. 256

• Week 10, Oct 31st — November 4th
Section 4.2 Maximum and minimum values, p. 262
Section 4.3 Derivatives and the shapes of curves, p. 271

• Week 11, November 7th — November 11th
Section 4.5 Indeterminate forms and l'Hospital's rule, p. 290
Section 4.6 Optimization problems, p. 299

• Week 12, November 14th — November 18th
Section 4.7 Newton's method, p. 312
Section 4.8 Antiderivatives, p. 317

• Week 13, November 21nd — November 25th
(Note: no classes on Nov 23-27 - Thanksgiving break)
Section 5.1 Areas and distances, p. 332
Section 5.2 The definite integral, p. 343

• Week 14, November 28th — December 2nd
Section 5.3 Evaluating definite integrals, p. 356
Section 5.4 The fundamental theorem of calculus, p. 367
Section 5.5 The substitution rule, p. 375

• Week 15, December 5th — December 9th
Section 5.5 The substitution rule (continued), p. 375
Final review