# 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 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 first-order differential equations, Euler's method, applications of differential equation, predator-prey 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.