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# Syllabus

## PLEASE DO THE ASSIGNED READING FROM THE SYLLABUS BEFORE LECTURE.

- Week 1, August 30th — September 5th

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

Section 1.5 Exponential functions, p. 52

- Week 2, September 6th — September 10th

Section 1.6 Inverse functions and logarithms, p. 63

**Only WebAssign problems are due this week. No paper homework is due this week.****Lecture 1 does not meet Friday, Sept 10. Lecture 2 does not meet this week. Lecture 3 does not meet Thursday, Sept 9.**

- Week 3, September 13th — September 17th

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

**Paper Homework 1 due in recitation.****Diagnostic quiz on Tuesday, Sept 14 at 8:30pm.**

- Week 4, September 20th — September 24th

Section 2.4 Continuity, p. 113

Section 2.5 Limits involving infinity, p. 124

Section 2.6 Derivatives and rates of change, p. 135

**Paper Homework 2 due in recitation.**

- Week 5, September 27th — October 1st

Section 2.7 The derivative as a function, p. 146

Section 2.8 What does f' say about f?, p. 158

**Paper Homework 3 due in recitation.**

- Week 6, October 4th — October 8th

Section 3.1 Derivatives of polynomials and exponential functions, p. 183

Section 3.2 The product and quotient rules, p. 193

**MIDTERM 1 on Thursday, Oct 7th at 8:30pm.**

**No WebAssign homework due this week. No paper homework due this week.**

- Week 7, October 11th — October 15th

Section 3.3 Derivatives of trigonometric functions, p. 213

Section 3.4 The chain rule, p. 220

**Paper Homework 4 due in recitation.**

- Week 8, October 18th — October 22nd

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

**Paper Homework 5 due in recitation.**

- Week 9, October 25th — October 29th

Section 3.9 Linear approximations and differentials, p. 240

Section 4.1 Related rates, p. 256

**Paper Homework 6 due in recitation.**

- Week 10, November 1st — November 5th

Section 4.2 Maximum and minimum values, p. 262

Section 4.3 Derivatives and the shapes of curves, p. 271

**MIDTERM 2 on Thursday, Nov 4th at 8:30pm.**

**No WebAssign homework due this week. No paper homework due this week.**

- Week 11, November 8th — November 12th

Section 4.5 Indeterminate forms and l'Hospital's rule, p. 290

Section 4.6 Optimization problems, p. 299

**Paper Homework 7 due in recitation.**

- Week 12, November 15th — November 19th

Section 4.7 Newton's method, p. 312

Section 4.8 Antiderivatives, p. 317

**Paper Homework 8 due in recitation.**

- Week 13, November 22nd — November 26th

Section 5.1 Areas and distances, p. 332

Section 5.2 The definite integral, p. 343

**LEC 1: No lecture Friday, Nov 26th. LEC 2: No lecture Wednesday, Nov 24th. LEC 3: No lecture Thursday, Nov 26th.**

**No WebAssign homework due this week. No paper homework due this week.**

- Week 14, November 29th — December 3rd

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

**Paper Homework 9 due in recitation.**

- Week 15, December 6th — December 10th

Section 5.5 The substitution rule (continued), p. 375

Final review

**Paper Homework 10 due in recitation.**

Jason Starr

4-108 Math Tower

Department of Mathematics

Stony Brook University

Stony Brook, NY 11794-3651

Phone: 631-632-8270

Fax: 631-632-7631

Jason Starr