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Department:

MATH

Course Number:

2550

Hours - Lecture:

2

Hours - Lab:

0

Hours - Recitation:

0

Hours - Total Credit:

2

Typical Scheduling:

Every Semester

An introduction to multivariable calculus through vectors in 3D, curves, functions of several variables, partial derivatives, min/max problems, multiple integration. Vector Calculus not covered.

Prerequisites:

Course Text:

At the level of Thomas, *Calculus: Early Transcendentals, (14th ed.)* Pearson.

Flow chart describing textbook choices for Fall 2019.

Topic Outline:

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

Vectors and geometry of space: dot and cross product, lines and planes, cylinders and quadric surfaces | 12.1-12.6 | 3 |

Vector functions and curves: limits, continuity, tangent vector and motion, integrals, arc length, curvature | 13.1-13.4 | 5 |

Functions of several variables: domain, graphs and level sets, limits and continuity, partial derivatives, chain rule, directional derivatives and gradients, tangent planes, extreme values and saddle points, Lagrange multipliers, Taylor's theorem | 14.1-14.9 | 12 |

Multiple integrals: double and triple integrals over rectangles and general regions, area by double integration, integrals in polar, cylindrical and spherical coordinates, substitutions in multiple integrals. | 15.1-15.8 | 10 |