(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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