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.
Description: Continuation of 16A. Further techniques and applications of integration, Trigonometric functions, Differential equations, Probability and calculus, Sequences and series, Multivariable calculus. (F,SP)
Textbook: Lial, Greenwell, Ritchey, Calculus with Applications, 11th Edition
Outline of the Course:
Chapter 8: Further Techniques of Integration and Applications 
7 hours 
Integration by parts, volume and average value, continuous money flow, improper integrals, capital value. 

Chapter 13: The Trigonometric Functions 
3 hours 
Definition of the trigonometric functions, derivatives of trigonometric functions, integrals of trigonometric functions. 

Chapter 10: Differential Equations 
7 hours 
Substitution, integration by parts, evaluation and improper integrals. 

Chapter 10: Differential Equations 
7 hours 
Solutions of elementary and separable differential equations, population models, logistic growth, linear firstorder differential equations, Euler's method, applications of differential equation, predatorprey models. 

Chapter 11: Probability and Calculus 
6 hours 
Continuous probability models, expected value and variance, special probability density functions. 

Chapter 12: Sequences and series 
7 hours 
Geometric sequences, annuities, Taylor polynomials at zero, infinite series, Taylor series. 

Chapter 9: Multivariable Calculus 
8 hours 
Functions of several variables, partial derivatives, maxima and minima, Lagrange multipliers, double integrals. 

Total 
38 hours 
Midterms & Holidays 
4 hours 

42 hours 
The total number of class hours may vary during the Fall and Spring semesters. 