Math 16B
Math 16B  Analytic Geometry and Calculus  [3 units]
Course Format: Three hours of lecture, one and onehalf hours of discussion per week.
Prerequisites: 16A
Credit Restrictions: Students will receive no credit for 16B after 1B, 2 units after 1A.
Description: Continuation of 16A. Functions of several variables, Trigonometric functions, Techniques of integration, Differential equations, Taylor polynomials and infinite series, Probability and calculus. (F,SP)
Textbook: Goldstein, Lay, Schneider, Asmar, Calculus and Its Applications, Custom Edition for Math 16B, Volume 2, University of California, Berkeley
Outline of the Course:
Chapter 7: Functions of Several Variables 
7 hours 
Partial derivatives, maxima, minima, Lagrange multipliers, double integrals. 

Chapter 8: The Trigonometric Functions 
4 hours 
Radian measure, differentiation and integration of sin, cos, tan. 

Chapter 9: Techniques of Integration 
6 hours 
Substitution, integration by parts, evaluation and improper integrals. 

Chapter 10: Differential Equations 
7 hours 
Simple equations, separation of variables, applications. 

Chapter 11: Taylor Polynomials and Infinite Series 
6 hours 
Taylor polynomials, infinite series, convergence of series with
positive terms, Taylor series. 

Chapter 12: Probability and Calculus 
8 hours 
Discrete and continuous random variables, expected value and variance, exponential, normal and Poisson distributions. 

Total 
38 hours 
Midterms & Holidays 
4 hours 
Reviews
are appropriate during the RRR week 
42 hours 
The total number of class hours may vary during the Fall and Spring semesters. 

