Department:

MATH
Course Number:

2401
Hours - Lecture:

3
Hours - Lab:

0
Hours - Recitation:

2
Hours - Total Credit:

4
Typical Scheduling:

Not offered after Summer 2015 Description:

Being replaced by MATH 2551.
Multivariable calculus: Linear approximation and Taylor's theorems, Lagrange multiples and constrained optimization, multiple integration and vector analysis including the theorems of Green, Gauss and Stokes.

Prerequisites:

Course Text:

At the level of *Thomas' Calculus, Early Transcendentals*, by Thomas, Weir and Haas (Twelfth Edition); Addison Wesley, Inc., 2009

Flow chart describing textbook choices for fall 2014.

Topic Outline:

Topic | Text Sections | Lectures |
---|---|---|

Vectors and Geometry of Space | 12.2-12.6 | 3 |

Vector Valued Functions, Vector Calculus, Tangents, Arclength, Motion in Space | 13.1-13.6 | 8 |

Functions of several variables, Partial Derivatives, Gradients, Extreme Values, Lagrange Multipliers, Taylor's theorem in several variables | 14.1-14.10 | 12 |

Double and triple integrals | 15.1-15.8 | 10 |

Vector analysis -- line integrals, surface integrals, and the theorems of Green, Gauss, and Stokes | 16.1-16.8 | 10 |