310  SLIDES FOR LESSONS   2004 Sep 01  MATH 310 :   CALC III  Dr. Luft

  (SLIDES IN MICROSOFT POWER POINT)
  Lesson  1   3-D Coordinates; vectors
  Lesson  1a  3-D Coordinates
  Lesson  1b  Vectors
  Lesson  2a  Dot Product and Angle
  Lesson  2b  Projection, work; Determinants
  Lesson  3a  cross product
  Lesson  3b  area, volume, torque
  Lesson  4a  Lines
  Lesson  4b  Planes
  Lesson  5   Cylinders and Quadric Surfaces
  Lesson  6a  Circular Coordinates
  Lesson  6b  Cylindrical and Spherical Coordinates
  Lesson  7   Vector-Valued Functions; 3-d Curves
  Lesson  8a  Tangent Vectors
  Lesson  8b  Differentiation and Integration Rules for Vector Functions +
  Lesson  9a  Arc Length and Curvature
  Lesson 10a  3-d Motion, Velocity, Acceleration
  Lesson  9t  Arc Length and Curvature; 3-d motion, velocity, acceleration
  Lesson 11a  graph scalar functions of 2 variables
  Lesson 11b  Level curves
  TEST 1
  Lesson  12  Limits and continuity
  Lesson  13a Partial Derivatives of Functions of Two Variables
  Lesson  13b Partial Derivatives of Functions of More than Two Variables
  Lesson  14a Tangent Plane and Affine Approximation
  Lesson  14b The Total Differential
  Lesson  15a Chain Rule
  Lesson  15b Chain Rule
  Lesson  16  Directional Derivative and Gradient
  Lesson  17a Local Maxima, Minima, and Saddles
  Lesson  17b Global Maxima and Minima
  Lesson  18  Double Integral on Rectangles
  Lesson  19  Iterated Integrals
  Lesson  20  Double Integral on  General Regions
  Lesson  21  Double Integral in Circular Coordinates
  Lesson  22  Density, Mass, Moments, Centroid
  Lesson  23  Surface Integral of a Smooth Function
  TEST 2
  Lesson  24  Triple Integral in Rectangular Coordinates
  Lesson  25  Triple Integral in Cylindrical and Spherical Coordinates
  Lesson  26a Substitution in Multiple Integrals
  Lesson  26b Substitution in Multiple Integrals
  Lesson  27  Vector Fields
  Lesson  28  Line Integrals
  Lesson  29  FTC for Line Integrals
  Lesson  30  2-d Forms of Green's Theorem
  Lesson  31a curl and Green's Theorem
  Lesson  31b divergence and Green's Theorem
  Lesson  32  Parametrized Surface and Areas
  Lesson  33  Parametrized Surface Integrals
  TEST 3
  Lesson  34  Stokes' Theorem
  Lesson  35  Gauss' Theorem
  Lesson  36  Stokes' and Gauss' Theorem
  Lesson  37  Review
  FINAL EXAMINATION
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