CALCULUS III
MATH 283

Southwestern   
Adventist University 
 
     Distance Education Lawrence E. Turner, Jr., Ph.D.  


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COURSE SYLLABUS


V.     OUTLINE

The material will cover chapters 10-14 of the text.
  1. Introduction
    1. Course requirements
    2. Grading
  2. Vectors in Space
    1. Vectors
    2. Cartesian Coordinates
    3. Dot Products
    4. Cross Products
    5. Lines and planes
    6. Quadric surfaces
    7. Cylindrical and spherical coordinates
  3. Vector Functions
    1. Space Curves
    2. Projectile Motion
    3. Arc Length
    4. Unit Tangent Vector
    5. Curvature
    6. TNB Frame
    7. Planetary Motion
  4. Multivariable Funcdtions
    1. Functions
    2. Limits
    3. Continuity
    4. Partial Derivatives
    5. Differentials
    6. Chain Rule
    7. Constrained Variables
    8. Directional Derivatives
    9. Gradient Vectors
    10. Tangent Planes
    11. Extreme Values
    12. Saddle Points
    13. Lagrange Multipliers
    14. Taylor's Formula
  5. Multiple Integrals
    1. Double Integrals
    2. Areas
    3. Moments and Centers of Mass
    4. Polar Coordinates
    5. Triple Integrals
    6. Masses and moments
    7. Cylindrical Coordinates
    8. Spherical Coordinates
    9. Substitution
  6. Vector Fields
    1. Line Integrals
    2. Vector Fields
    3. Work
    4. Circulation
    5. Flux
    6. Path Independence
    7. Potential Functions
    8. Green's Theorem
    9. Surface Integrals
    10. Parametrized Surfaces
    11. Stoke's Theorem
    12. Divergence Theorem


 

© 1999, 2000, 2001, 2002, 2003 by Lawrence Turner