January 7:
The Cross Product
ed1: 10.4 Number 1-9, 13-16, 21-37
ed2: 10.4 Number 1-9, 13, 17-20, 25-41
Equations of Lines and Planes
ed1: 10.5 Number 1-41, 45-50
ed2: 10.5 Number 1-43, 47-52
January 12:
Examples (Vectors, dot product, cross product, lines and planes)
Cylinders and Quadric Surfaces
ed1: 10.6 Number 3-8, 11-30
ed2: 10.6 Number 3-8, 11-30
January 14:
Vector Functions and Space Curves
ed1: 10.7 Number 3-22, 33-52
ed2: 10.7 Number 3-22, 33-52
January 21:
Arc Length and Curvature
ed1: 10.8 Number 1-4, 7-8, 11-19, 21-25, 33-38
ed2: 10.8 Number 1-4, 9-10, 13-21, 23-27, 37-40
Motion in Space: Velocity and Acceleration
ed1: 10.9 Number 1-25
ed2: 10.9 Number 1-25
This section is easy and straightforward and I will not
cover it class. You have to learn it on your own.
January 26:
Arc Length and Curvature (Examples)
Functions of several variables
ed1: 11.1 Number 1-11 odd, 13-35, 41-50
ed2: 11.1 Number 1-11 odd, 13-35, 41-50
January 28:
Limits and continuity
ed1: 11.2 Number 3-28
ed2: 11.2 Number 3-28
February 2:
Partial derivatives
ed1: 11.3 Number 1-60
ed2: 11.3 Number 1-64
February 4:
Tangent planes and linearization
ed1: 11.4 Number 1-6, 11-32
ed2: 11.4 Number 1-6, 11-34
February 9:
Chain rule
ed1: 11.5 Number 1-30
ed2: 11.5 Number 1-30
Directional derivative and the gradient vector
ed1: 11.6 Number 1-34
ed2: 11.6 Number 1-36
February 11:
Directional derivative and the gradient vector (continuation)
ed1: 11.6 Number 1-34
ed2: 11.6 Number 1-36
Maximum and minimum values
ed1: 11.7 Number 1-28
ed2: 11.7 Number 1-28
February 16:
Exam I
Lagrange multipliers are not covered on this exam.
The exam will cover only the material that we will manage to cover in the class
before February 16.