## 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