January 10:
The Dot Product
ed1: 10.3 Number 3-8, 12-34
ed2: 10.3 Number 2-10, 14-39
January 13:
The Cross Product
ed1: 10.4 Number 1-9, 13-16, 21-37
ed2: 10.4 Number 1-9, 13, 17-20, 25-41
January 15:
Equations of Lines and Planes
ed1: 10.5 Number 1-41, 45-50
ed2: 10.5 Number 1-43, 47-52
January 17:
Cylinders and Quadric Surfaces
ed1: 10.6 Number 3-8, 11-30
ed2: 10.6 Number 3-8, 11-30
January 22:
Vector Functions and Space Curves
ed1: 10.7 Number 3-22, 33-52
ed2: 10.7 Number 3-22, 33-52
January 24:
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
January 27:
Motion in Space: Velocity and Acceleration
ed1: 10.9 Number 1-25
ed2: 10.9 Number 1-25
January 29:
Kepler's Laws (no binormal vectors)
ed1: 10.9 Number 1-25
ed2: 10.9 Number 1-25
January 31:
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
February 3:
Partial derivatives
ed1: 11.3 Number 1-60
ed2: 11.3 Number 1-64
February 5:
Tangent planes and linearization
ed1: 11.4 Number 1-6, 11-32
ed2: 11.4 Number 1-6, 11-34
February 7:
Chain rule
ed1: 11.5 Number 1-30
ed2: 11.5 Number 1-30
February 10:
Directional derivative and the gradient vector
ed1: 11.6 Number 1-34
ed2: 11.6 Number 1-36
February 12:
Maximum and minimum values
ed1: 11.7 Number 1-28
ed2: 11.7 Number 1-28
February 14:
Lagrange multipliers
ed1: 11.8 Number 1-17, 25-37 odd, 38-40
ed2: 11.8 Number 1-19, 29-39 odd, 42-44
February 17:
Review
February 19:
Exam 1
February 21:
Double integrals over rectangles
ed1: 12.1 Number 7-34
ed2: 12.1 Number 7-26, 29-35
February 24:
Double integrals over general regions
ed1: 12.2 Number 1-28, 37-42
ed2: 12.2 Number 1-12, 15-32, 43-48
February 26:
Double integrals in polar coordinates
ed1: 12.3 Number 1-26
ed2: 12.3 Number 1-26
February 28:
Applications of double integrals
ed1: 12.4 Number 1-14
ed2: 12.4 Number 1-16
March 10:
Triple integrals
ed1: 12.5 Number 1-20, 23-40
ed2: 12.5 Number 1-20, 23-42
March 12:
Triple integrals in cylindrical coordinates
ed1: 12.6 Number 1-23, 25-28
ed2: 12.6 Number 1-25, 28-30
March 14:
Triple integrals in spherical coordinates
ed1: 12.7 Number 1-27, 35-36
ed2: 12.7 Number 1-27, 37-39
March 17:
Change of variables in multiple integrals
ed1: 12.8 Number 1-22
ed2: 12.8 Number 1-10, 15-21, 23-26
March 19:
Vector fields
ed1: 13.1 Number 1-32
ed2: 13.1 Number 1-32
March 21:
Line integrals
ed1: 13.2 Number 1-24, 33-37
ed2: 13.2 Number 1-22, 37-40, 43
March 24:
Fundamental Theorem of Line Integrals
ed1: 13.3 Number 1-22
ed2: 13.3 Number 1-22
March 26:
Green's Theorem
ed1: 13.4 Number 1-21
ed2: 13.4 Number 1-21
March 28
Green's Theorem (cont)
March 31:
Review
April 2:
Exam 2
April 4:
Curl and divergence
ed1: 13.5 Number 1-30
ed2: 13.5 Number 1-30
April 7:
Parametric surfaces and their areas
ed1: 13.6 Number 1-4, 15-22, 29-44
ed2: 13.6 Number 1-4, 15-22, 29-44, 46
April 9:
Surface integrals
ed1: 13.7 Number 1-27
ed2: 13.7 Number 1-31
April 11:
Stokes' Theorem
ed1: 13.8 Number 1-15
ed2: 13.8 Number 1-17
April 14:
Stokes' Theorem (cont.)
April 16:
Divergence Theorem
ed1: 13.9 Number 1-30
ed2: 13.9 Number 1-30
April 18:
Divergence Theorem (cont.)
April 21:
Review
April 24: Final Exam (all day sections)
4:00-5:50 PM, Room: TBA