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|
Date |
Topic |
| Week
1 |
|
Class 1
|
Wed Jan 21 |
Introduction to Vectors (Notation and
Terminology)
|
|
Class 2
|
Fri Jan 23 |
The Dot Product and Vector
Equations of Lines and Planes
|
| Week 2 |
|
Class 3
|
Mon Jan 26
|
Vector
Projection and the Vector Cross Product |
|
Class 4
|
Wed Jan 28
|
Function, Vector
Functions, and f(x,y) as surfaces |
|
Class 5
|
Fri Jan 30
|
Cross-Sections and Level Sets |
| Week 3 |
|
Class 6
|
Mon Feb 2
|
Surfaces Activity: The Surface |
|
Class 7
|
Wed Feb 4 |
Cross-Sections and Level Sets |
|
Class 8
|
Fri Feb 6 |
Contours
and Surfaces Surfaces Activity: The Park |
| Week 4 |
|
Class 9
|
Mon Feb 9 |
Limits
of Multivariable Functions and The
Partial Derivative |
|
Class 10
|
Wed Feb 11 |
The Tangent Plane,
Differentials, and Linear Approximations |
|
Class 11
|
Fri Feb 13 |
The
Directional Derivative and the Gradient Vector |
| Week 5 |
|
Class
12
|
Mon Feb 16 |
President's
Day
Holiday |
|
Class 13
|
Wed Feb 18
|
The
Gradient Vector in R3 |
|
Class 14
|
Fri Feb 20
|
The Chain Rule |
| Week 6 |
|
Class 15
|
Mon Feb 23 |
Second Order Partial Derivatives |
|
Class 16
|
Wed Feb 25
|
Exam 1 Review
|
|
Class 17
|
Fri Feb 27
|
EXAM 1 |
| Week 7 |
|
Class 18
|
Mon Mar 2
|
Differentiability of Multivariable Functions
|
|
Class 19
|
Wed Mar 4
|
Critical Points: Saddle Points and Local Extrema |
|
Class 20
|
Fri Mar 6
|
Class
Cancelled (Buckmire absent) |
| Week 8 |
|
|
Mon Mar 9 |
(Spring
Break)
|
|
|
Wed Mar 11
|
(Spring
Break)
|
|
|
Fri Mar 13
|
(Spring
Break)
|
| Week 9 |
|
Class 21
|
Mon Mar 16 |
Critical Points: Saddle Points and Local Extrema |
|
Class 22
|
Wed Mar 18
|
Unconstrained Multivariable
Optimization |
|
Class 23
|
Fri Mar 20 |
Class
Cancelled (Buckmire absent) |
| Week 10 |
|
Class 24
|
Mon Mar 23
|
Constrained Multivariable
Optimization using Lagrange Multipliers
|
|
Class 25
|
Wed Mar 25 |
Constrained Multivariable
Optimization using Lagrange Multipliers (continued)
|
|
Class 26
|
Fri Mar 27
|
The
Definite Integral Of A Function Of Two Variables
Surfaces Activity: The Water Table
|
| Week 11 |
|
Class 27
|
Mon Mar 30 |
Iterated
Integration
Introduction |
|
Class 28
|
Wed Apr 1
|
Triple
Integrals
|
|
Class 29
|
Fri Apr 3
|
Integrals in Non-Rectangular
Coordinate Systems |
| Week 12 |
|
Class 30
|
Mon Apr 6 |
Motion, Velocity and
Acceleration in R3 |
|
Class 31
|
Wed Apr 8 |
Review for EXAM 2 |
|
Class 32
|
Fri Apr 10
|
EXAM 2 |
| Week 13 |
| Class 33 |
Mon Apr 13 |
Vector Fields and Line Integrals |
|
Class 34
|
Wed Apr 15
|
Vector
Fields and Line Integrals
(continued) |
|
Class 35
|
Fri Apr 17
|
Gradient Fields and
Path-Independent Vector Fields |
| Week 14 |
|
Class 36
|
Mon Apr 20
|
Gradient Fields and
Path-Independent Vector Fields (continued) |
|
Class 37
|
Wed Apr 22
|
Green's Theorem and
Scalar Curl |
| Class 38 |
Fri Apr 24 |
The Divergence and Curl of A
Vector Field |
| Week 15 |
| Class 39 |
Mon Apr 27
|
The Three Fundamental
Theorems of Vector Calculus
|
| Class 40 |
Wed Apr 29
|
Last Day of
Class!
|