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Topics Involve Mutivariable Calculus, Vector Analysis, & Advanced Topics
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San Francisco, CA 94158
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Vectors – Addition,
Dot Product, Direction Cosines, Projections
Vector and Scalar Triple Products
Lines and planes in space
Motion of a particle in
Space
Quadric Surfaces - Rectangular, Cylindrical, and Spherical Coordinates
Level Curves, Traces, Intercepts/
Visualization of Surfaces
Limits and Continuity for a function with two independent variables
Partial Derivatives of a Function/
Gradient of a Function
Linear approximation of a function with two independent variables
The Chain Rule for Functions of Several Variables
The Directional Derivative, its Definition and Physical Interpretation
Local Maxima and Minima of Functions with
Two Variables
Absolute Maxima and Minima of Functions with Two Variables
Lagrange Multipliers and Constrained Optimization
Basics of Multiple Integrals and Applications /Double Integrals
Basics of Triple Integrals
Approximate Volumes under a Surface using the Riemann Sum
Uses of Rectangular, Cylindrical, and Spherical Coordinates
Changing Order of Integration for Multiple Integrals
Change of Variables in Integrals
Vector Fields
Line Integrals
Surface Integrals
Green’s Theorem
Divergence Theorem
Stokes' Theorem
Summary of the Calculus of Vector Fields
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