# Math 16A Section ???

### Analytic Geometry and Calculus (CCN: ?????)

#### Instructor: Professor Lior Pachter

Email: lpachter@math.berkeley.edu
Office hours: Wednesday 1pm--3pm, 1081 Evans.
Lectures: Tuesdays and Thursdays 8:00--9:30am, ?? Evans.

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.