Tentative Schedule
of Topics (Subject to change)
5-24-01
|
Monday |
Wednesday |
Friday
|
Week 1 |
8/27 Course Introduction
What is a matrix? |
Breath |
8/31 1.1, 1.3 Review of Numbers, Variables, Graphs and Lines:
functions and models |
Week 2 |
9/3 Labor Day
No Classs |
9/5 1.4 Revenue/Cost/Break even
Demand/Supply/Equilibrium
Time rates: growth/velocity |
9/7 2.1.Linear Equations. Solutions and applications. I |
Week 3 |
9/10 2.2. Linear Equations: II.More on Solutions. Matrices. {geometry
& 3 variables) |
9/12 2.3 Linear Equations: III. More general systems and matrices. |
9/14 2.4. Linear Equations: IV. |
Week 4 |
9/17 More applications. |
9/19 Aplications. Begin Matrix Algebra: Add, Scalar multiplication,
Transpose. |
9/21 3.1 More Matrix algebra (Product) |
Week 5 |
9/24 3.2 More Matrix algebra for products:
Matrices and linear equations revisited. |
9/26 3.3 Matrix inverses. |
9/28 3.3 Finish matrix equations.
3.4.Start Input-output model. |
Week 6 |
10/1 More Input output |
10/3 4.1, 4.2 Linear Programming I: graphical.
Start Simplex Method)/ LP |
10/5 4.2 More Linear Programming: Start Simplex method |
Week 7 |
10/8 4.3 More LP examples.Review. The Simplex Method. |
10/10 Standard LP with Simplex Method. 4.3 Breath |
10/12 More Simplex Method. Some Non-standard
LP issues? |
Week 8 |
1More on regular Markov systems.9.3Game Theory Intro G.1 More on regular
Markov systems.9.3Game Theory Intro G.1 0/15 |
10/17 Exam I (covers thru 4.3) |
10/19 Start Finite Sets and Counting. 6.1 & 6.2? |
Week 9 |
10/22 Finite Sets and Counting. 6.1 & 6.2? . |
10/24 6.3 TREES.Multiplication
6.1 6.3 |
10/26 More counting.permutations. More counting. 6.4 |
Week 10 |
10/29 More Counting . Permutations |
10/31 Counting again.Begin Sample Space/events.
Begin Estimated Probability. 7.2 (Relative frequency and connection
to probability distribution and sample size) |
11/2 Empirical prob.7.3 Prob And counting 7.4 Some Abstractions |
Week 11 |
11/ 5Empirical prob.7.3 Prob And counting
- |
11/7 7.5 Some Abstractions |
11/9 Conditional Probability
Multiplication and trees 7.6 |
Week 12 |
11/12 Independence.7.6 |
Breath |
Exam II Covers 10/22 to
11/9
chapters 6 and 7but (not independence) |
BREAK |
11/19 No class |
No class |
No Class |
Week 13 |
11/26Markov Systems and matrices. 9.1, 9.2
[The birthday/birth month problem]
Review |
11/28 More on Markov Matrices |
Regular Markov Systems.Equilibrium & Steady States. 9.3 |
Week 14 |
12/3More on regular Markov systems.9.3 Game Theory Intro G.1 |
Saddle points and Mixed strategies. G.2-G.3Breath |
More Games and optimal mixed strategies.
Topics TBA
(More Prob or logic) |
Week 15 |
12/10 Topics TBA
(More Prob or logic) |
Topics TBA(More Prob or logic) |
Breath & Review for Final |