Email: lpachter@math.berkeley.edu

Office hours: Wednesday 1pm--3pm, 1081 Evans.

Lectures: Tuesdays and Thursdays 8:00--9:30am, ?? Evans.

**Information on changing sections or entering the course from the waitlist**

**Graduate Student Instructors**:

**Textbook**: L.J. Goldstein, D.C. Lay and D.I. Schneider, *Calculus and its Applications*, 10th edition, Prentice Hall.

**Grading**: Quizzes 5%, Homework 10%, Midterms 25% each, Final 35%.
The final exam score will override any lower, or missing, midterm score.

**Midterms**: The first midterm will be on Tuesday February 21st in class and will cover chapters 7 and 8.
The second midterm will be on Tuesday April 4th in class and will cover chapters 9 and 10.
No books, notes, calculators, slide rules or scratch paper will be permitted
at the exams. There will be no make-up exams.

**Final Exam**: The final exam will be held from 5-8pm on Wednesday May 17 and will cover the material from the entire course. There will be no make-up final exam. If you are unable to attend the final exam due to documented and unexpected circumstances beyond your control, and you have a C average on the previous coursework, an incomplete may be assigned.

**Homework and Quizzes**: There will be a weekly quiz given each
Thursday in sections. There will be **no** make-up quizzes, but we will drop the lowest quiz score in computing your grade. Homework will be due each Thursday in sections. The homework will be graded "pass/fail".

Homework #1 (due January 26): **7.1** 4,10,13,25,26; **7.2** 3,4,5,6,22,23,24,32.

Homework #2 (due February 2): **7.3** 3,4,5,6,27,28,30; **7.4** 6,7,11,12,17,20.

Homework #3 (due February 9): **7.5** 1,6,11,14; **7.7** 4,5,6,7,10,11.

Homework #4 (due February 16): **8.1.** 2,4,5,13; **8.2.** 4,5,20,21,24,25; **8.3** 20,23,24,25,36,37; **8.4** 25,26,34,35.

Homework #5 (due March 2): **9.1** 17,19,20,24,35,46; **9.2** 10,11,30,35.

Homework #6 (due March 9): **9.3** 7,8,10,17,20,24; **9.4** 3,4,10,30 **9.5** 12 ** 10.1** 3,4,5,8,25.

Homework #7 (due March 16): **10.2** 17,18,19,20,37; **10.3** 17,18,34.

Homework #8 (due March 23): **10.4** 3,15,25; **10.5** 1,4,5,35,40; **10.6** 18,25; **10.7** 6,7,8.

Homework #9 (due April 13): **11.1** 16,17,29,30; **11.3** 2,4,5,16,18,35,37,42; **11.4** 2,3,27,30.

Homework #10 (due April 20): **11.5** 3,10,23,29,36,43; **12.1** 1,2,3,4.

Homework #11 (due April 27): **12.2** 2,3,7,10,21,32; **12.3** 2,4,8,9,17,19.

Homework #12 (due May 4): **12.4** 1,2,5,6,11,12,33,34; **12.5** 2,3,4,5,6.

**Course Outline**:

Week 1 -- January 17,19: Functions of Several Variables and Partial Derivatives.

Week 2 -- January 24,26: Maxima and Minima, Lagrange Multipliers.

Week 3 -- January 3, February 2: Least Squares, Double Integrals.

Week 4 -- February 7,9: Radian Measure of Angles and Trigonometric Functions.

Week 5 -- February 14,16: Sine, Cosine and Tangent; Review.

Week 6 -- February 21,23: **Midterm 1** and Methods of Integration.

Week 7 -- February 28, March 2: Methods of Integration and Applications, Improper Integrals.

Week 8 -- March 7,9: Differential Equations and Separation of Variables.

Week 9 -- March 14,16: Applications of Differential Equations.

Week 10-- March 21,23: Numerical Solutions of Differential Equations and Review.

**Spring Break**

Week 11 -- April 4,6: **Midterm 2** and Taylor Polynomials.

Week 12 -- April 11,13: Series with Positive Terms and Taylor Series.

Week 13 -- April 18,20: Discrete and Continuous Random Variables.

Week 14 -- April 25,27: Expected Value and Variance; Exponential Random Variables.

Week 15 -- May 2,4: Normal and Poisson Random Variables.

Week 16 -- May 9: Review.

May 17: **Final** - 5-8pm, 230 Hearst Gym.