Week
Date

Lect.

 Sections

Topic

Homework

Week 1
8/30 – 9/3

1

1.1 & 1.2

Springs, Change and Iteration

8/30:

2

Lab 1

Iteration Experiments I

9/1:

3

1.2 & 1.3

Cooling and Explicit Solution of Iterations

9/2:

Week 2
9/6 – 9/10

└►

LABOR DAY ~ UNIVERSITY CLOSED

4

Lab 2

Iteration Experiments II

9/8:

5

1.3 & 1.4

Explicit Solutions of Iterations & Formulations of Systems

9/9:

Week 3
9/13 – 9/17

6

1.4

Solutions for Linear Difference Equations

9/13:

7

Lab 3

Iteration Experiments III

9/15:

8

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└►

MIDTERM EXAM I:  September 16, 2010

EXAM I covers all lectures, reading and labs through 9/15

Week 4
9/20 – 9/24

9

2.1

Modeling Processes

9/20:

10

Lab 4

Simulating Mass-Spring Dynamics

9/22:

11

2.2

Modeling Using Proportionality

9/23:

Week 5
9/27 – 10/1

12

2.3

Modeling Using Geometric Similarity

9/27:

13

Lab 5

Simulating Planetary Motion

9/29:

14

2.5

Biomechanical Modeling

9/30:

Week 6
10/4 – 10/8

15

3.1

Graphical Model Fitting

10/4:

16

Lab 6

Simulating Stock Prices

10/6:

17

3.2

L1 and L2 Fitting

10/7:

Week 7
10/11 – 10/15

18

3.3

Least Squares Linear and Nonlinear Models

10/11:

19

Lab 7

Data from a Mass-Spring Experiment

10/13:

20

Week 8
10/18 – 10/22

21

5.1

Monte Carlo Methods

10/18:

22

Lab 8

Stock Prices and Options

10/20:

23

5.2

Random Number Generation

10/21:

Week 9
10/25 – 10/29

24

5.3

Discrete Random Choices and Option Pricing

10/25:

25

Lab 9

Conserved Quantities in Mechanical Systems

10/27:

26

9.1

Dimensional Analysis I

10/28:

Week 10
11/1 – 11/5

└►

Last Day to Withdraw from this course

27

9.2

Dimensional Analysis II

11/1:

28

Lab 10

Discrete Systems with Continuum Limits

11/3:

29

9.3

Damped Pendulum

11/4:

Week 11
11/8 – 11/12

30

31

Lab 11

Phase Plane of the Damped Pendulum

11/10:

32

6.1

Markov Chains

11/11:

Week 12
11/15 – 11/19

33

Notes

Random Walks and Brownian Motion

11/15:

34

Lab 12

Mass-Spring System with Random Forcing

11/17:

35

11.1

Population Models

11/18:

Week 13
11/22 – 11/24

36

11.3

Braking Distance

11/22:

37

Lab 13

Heun’s Methods

11/24:

11/25 – 11/28

└►

38

Notes

Predator-Prey: A Discrete Space-Time Simulation

11/29:

39

Lab 14

Solving ODEs with MATLAB

12/1:

40

Notes

Predator-Prey: Simulation Properties

12/2:

41

Notes

Predator-Prey: Reduced Model

12/6:

42

Notes

Predator-Prey:  Performance of the Reduced Model

12/7:

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[TUE & Wed: DEC. 7-8] Classes follow a THURSDAY and FRIDAY Schedule

Finals

Final EXAM WEEK:  December 10-16, 2010