## 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 |