Course Description

This course is devoted to the study of vectors, solid analytic geometry, and calculus of several variables.

Course Documents

Sections Covered from Calculus (9th edition) by James Stewart

• 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
• 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
• 14.1: Functions of Several Variables
• 14.3: Partial Derivatives
• 14.4: Tangent Planes and Linear Approximation
• 14.5: The Chain Rule
• 14.6: Directional Derivatives and the Gradient Vector
• 14.7: Maximum and Minimum Values
• 14.8: Lagrange Multipliers
• 15.1: Double Integrals over Rectangles
• 15.2: Double Integrals over General Regions
• 15.3: Double Integrals in Polar Coordinates
• 15.4: Applications of Double Integrals
• 15.5: Surface Area
• 15.6: Triple Integrals
• 15.7: Triple Integrals in Cylindrical Coordinates
• 15.8: Triple Integrals in Spherical Coordinates
• 15.9: Change of Variables in Multiple Integrals
• 16.1: Vector Fields
• 16.2: Line Integrals
• 16.3: The Fundamental Theorem for Line Integrals
• 16.4: Green's Theorem
• 16.5: Curl and Divergence
• 16.6: Parametric Surfaces and Their Areas
• 16.7: Surface Integrals
• 16.8: Stokes' Theorem
• 16.9: The Divergence Theorem