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 |