CALCULUS III
MATH 283
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Southwestern Adventist University |
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Lawrence E. Turner, Jr., Ph.D. |
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COURSE SYLLABUS
V. OUTLINE
The material will cover chapters 10-14 of the text.
- Introduction
- Course requirements
- Grading
- Vectors in Space
- Vectors
- Cartesian Coordinates
- Dot Products
- Cross Products
- Lines and planes
- Quadric surfaces
- Cylindrical and spherical coordinates
- Vector Functions
- Space Curves
- Projectile Motion
- Arc Length
- Unit Tangent Vector
- Curvature
- TNB Frame
- Planetary Motion
- Multivariable Funcdtions
- Functions
- Limits
- Continuity
- Partial Derivatives
- Differentials
- Chain Rule
- Constrained Variables
- Directional Derivatives
- Gradient Vectors
- Tangent Planes
- Extreme Values
- Saddle Points
- Lagrange Multipliers
- Taylor's Formula
- Multiple Integrals
- Double Integrals
- Areas
- Moments and Centers of Mass
- Polar Coordinates
- Triple Integrals
- Masses and moments
- Cylindrical Coordinates
- Spherical Coordinates
- Substitution
- Vector Fields
- Line Integrals
- Vector Fields
- Work
- Circulation
- Flux
- Path Independence
- Potential Functions
- Green's Theorem
- Surface Integrals
- Parametrized Surfaces
- Stoke's Theorem
- Divergence Theorem
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© 1999, 2000, 2001, 2002, 2003 by Lawrence Turner |