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Department:

MATH

Course Number:

2551

Hours - Lecture:

3

Hours - Lab:

0

Hours - Recitation:

2

Hours - Total Credit:

4

Typical Scheduling:

Every Semester

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:

Thomas, *Calculus: Early Transcendentals, (14th ed.)*

Flow chart describing textbook choices for Fall 2019.

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 |