Math 16B

Math 16B - Analytic Geometry and Calculus -- [3 units]

Course Format: Three hours of lecture, one and one-half 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
Integration by parts, volume and average value, continuous money flow, improper integrals, capital value.
7 hours
Chapter 13: The Trigonometric Functions
Review of trigonometric functions and integrals of trigonometric functions.
2 hours
Chapter 9: Multivariable Calculus
Functions of several variables, partial derivatives, maxima and minima, Lagrange multipliers, double integrals.
9 hours
Chapter 10: Differential Equations
Solutions of elementary and separable differential equations, population models, logistic growth, linear first-order differential equations, Euler's method, applications of differential equations. 
7 hours
Chapter 11:  Probability and Calculus
Continuous probability models, expected value and variance, special probability density functions. 
5 hours
Chapter 12: Sequences and series
Geometric sequences, annuities, infinite series. Newton's method
6 hours
Review 2 hours
Total 38 hours
Midterms & Holidays 4 hours
The total number of class hours may vary during the Fall and Spring semesters. 42 hours