ACMS 20550, Fall 2011

Hurley 154; MWF 10:40-11:30AM

The famous Lorenz butterfly. In 1963, Edward Lorenz’s article, Deterministic Nonperiodic Flow (Journal of Atmospheric Sciences 20 (1963)), caught scientists by surprise.  Even the toy model of the atmosphere he used had unexpectedly sensitive dependence on initial conditions: a trivial perturbation, e.g., the proverbial butterfly flapping its wings in Tasmania, will change the weather a week from now dramatically.  Such an onset of chaos is a common feature of many real-world systems such as weather.

 
(Tutorial: Hayes-Healy 229; Tuesday 11-11:50AM)

butterfly

 

 


Course Syllabus

Course Organization


Instructor: Andrew Sommese (Hurley 156A).

Email: sommese@nd.edu

Office Hours: after class and by appointment.


Exam Schedule

Exam 1: Tuesday, September 27.

Exam 2: Tuesday, November 8.

Final: Thursday, December 15, 4:15 to 6:15 PM in DeBartolo room 131

 


Handouts

Taylor.pdf: A Maple worksheet with some useful commands.

 

SomeMatrixCommands.pdf: A Maple worksheet with some useful Matrix/Vector commands.

 


Homework

Homework 12 (due Tuesday, December 6 in class)

Read Chapter 15.

Do Problems

§ 15.5: 1, 2, 5, 13;

§ 15.6: 15;

§ 15.8: 1, 5, 6, 11, 12, 13, 14;

§ 15.9: 4;

§ 15.10: 2, 3, 4;

§ 15.11: 9, 10.

 

Homework 11 (due Tuesday, November 29 in class)

Read Chapter 15.

Do Problems

§ 15.3: 19;

§ 15.4: 1, 4, 7, 8.

 

Homework 10 (due Tuesday, November 22 in class)

Read Chapter 15.

Do Problems

§ 15.1: 1, 2, 3, 4, 5, 6, 7;

§ 15.2: 1, 2, 5, 15, 17;

§ 15.3: 1, 6, 8, 12, 15.

 

Homework 9 (due Tuesday, November 15 in class)

Read through Chapter 6 & start reading Chapter 15.

Do Problems

§ 6.7: 1, 2, 4, 6, 14, 15, 18;

§ 6.8: 1ab, 2ab;

§ 6.9: 2, 6, 7,10;

§ 6.10: 3, 4, 5, 9;

§ 6.11: 2, 3, 7, 8, 9, 13.

 

Homework 8 (due Tuesday, November 1 in class)

Read through Chapter 6.

Do Problems

§ 5.4: 7a, 10a, 15, 16, 31, 37, 39;

§ 5.5: 1, 2, 4, 5, 7, 9, 10;

§ 5.6: 1, 6a, 25, 26, 27;

§ 6.3: 1, 12;

§ 6.4: 2, 4.

§ 6.6: 1, 2, 3, 4, 5, 6.

 

Homework 7 (due Tuesday, October 25 in class)

Read through Chapter 5.

Do Problems

§ 5.2: 1, 7, 10, 14, 29, 31, 37, 39;

§ 5.3: 17, 18, 19;

§ 5.4: 1a, 2ab, 5, 14.

 

Homework 6 (due Tuesday, October 11 in class)

Read through Chapter 5.3.

Do Problems

§ 4.7: 3, 8, 23;

§ 4.8: 1, 2, 3, 12;

§ 4.9: 4, 5, 6;

§ 4.10: 1, 10;

§ 4.11: 1, 2, 3;

§ 4.12: 4, 7, 12, 13, 14, 16;

§ 4.13: 3, 27, 30.

 

Homework 5 (due Tuesday, October 4 in class)

Read through Chapter 4.9.  Skip Chapter 3.12.

Do Problems

§ 3.8: 6, 13;

§ 3.10: 1, 2c, 4;

§ 3.11: 12, 13, 27, 28, 29;

§ 4.1: 1, 2, 6, 7;

§ 4.2: 4, 5;

§ 4.4: 1, 14;

§ 4.5: 1, 5;

§ 4.6: 1, 2, 3, 4;

§ 4.7: 4, 16.

 

Homework 4 (due Tuesday, September 20 in class)

Finish reading Chapter 3.

Do Problems

§ 3.4: 2, 3, 9, 10, 12, 13, 14, 18, 20, 21, 22;

§ 3.5: 3, 5, 7, 11, 20, 21, 23, 28, 32, 36;

§ 3.6: 1, 3, 4, 7, 9, 13, 15, 19, 31, 32;

§ 3.7: 7, 15, 16, 17, 22.

 

Homework 3 (due Tuesday, September 13 in class)

Read Chapter 2 (skip section 16) and Chapter 3.1 to 3.5.

Do Problems

§ 2.7: 1, 2, 13, 14, 16, 17;

§ 2.8: 2;

§ 2.9: 1, 4, 6, 10, 16, 18, 19, 35, 37, 38;

§ 2.10: 2, 12, 16, 24, 26, 30;

§ 2.11: 11, 12;

§ 2.12: 3, 12, 27, 28, 37;

§ 2.13: 1, 4, 8, 9;

§ 3.2: 1, 8, 14, 15, 16;

§ 3.3: 1, 4, 6, 11, 12, 18.

 

Homework 2 (due Tuesday, September 6 in class)

Read Chapter 2. Problems

§ 1.10: 17, 18;

§ 1.13: 5, 9, 36, 37;

§ 1.14: 8, 14;

§ 1.15: 24;

§ 2.4: 1, 2, 5, 15, 18;

§ 2.5: 1, 6, 24, 31, 33, 34, 35, 37, 39, 43, 52, 54, 64;

§ 2.6: 2, 3, 13;

§ 2.6: 15.

 

Homework 1 (due Tuesday, August 30 in class)

Read Chapter 1. Problems

§ 1.1: 3, 6;

§ 1.2: 2, 3, 4, 7, 8;

§ 1.4: 1, 3, 5;

§ 1.5: 4, 6;

§ 1.6: 4, 11, 18, 20, 26, 27;

§ 1.7: 4, 5, 6;

§ 1.9: 4, 5, 8;

§ 1.10: 2, 16.


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