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Description

Fall 2016

Changsong Li

MATH 2415

Week 2 Notes: The Cross Product and Lines in 3D Space

12.5: Equations for Planes 12.6: Cylinders and Quadric Surfaces

Covers Cylindrical Coordinates, Spherical Coordinates, and Introduction to vector functions

Notes over chapters 13.2, 14.1, and 14.2

This study guide is mostly conceptual. Hopefully it will tie up any loose ends or uncertainties you may have.

These are the notes I took at last Saturday's exam review hosted by the math lab. In case you could not make it, have a look at it to get a good idea of the material we went over.

Tangent Planes and Linear Approximations

Global and Local Maximum and Minimum Values for Functions of 2 variables

Lagrange Multipliers and Double Integrals over Rectangles

Double Integrals over General Regions and Double Integrals in Polar Coordinates

limits, partial derivatives, direction derivatives, gradient, chain rule, local extrema and saddle points, lagrange multipliers, double integrals

15.9 Change of Variables in Multiple Integrals 16.1 Vector Fields 16.2 Line Integrals

Line Integrals Vector Fields The Fundamental Theorem for Line Integrals

16.4: Green's Theorem 16.5 Curl and Divergence

Final Exam Review for Calculus of Several Variables