Math 231

Calculus of Several Variables

2 credits

Blue Book Description: Analytic geometry in space; partial differentiation and applications. Students who have passed MATH 230 may not schedule this course.

Pre-requisites: MATH 141

Pre-requisite for: MATH 412, MATH 414, MATH 419, MATH 451

Suggested Textbook:
Multivariate Calculus: Early Transcendentals, 6th edition, by James Stewart, published by Brooks Cole thomson.
Check with your instructor to make sure this is the textbook used for your section.

Topics:
Chapter 12: Vectors and the Geometry of Space
12.1 Three-Dimensional Coordinate Systems
12.2 Vectors
12.3 The Dot Product
12.4 The Cross Product
12.5 Equations of Lines and Planes
12.6 Cylinders and Quadric Surfaces

Chapter 13: Vector Functions
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector functions
13.3 Arc Length and Curvature
13.4 Motion in Space: Velocity and Acceleration

Chapter 14: Partial Derivatives
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers