ACMS 20550, Fall 2010

DeBartolo 209; 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: Jordan Hall of Science 101; Tuesday 11-11:50AM)

butterfly

 

 


Course Syllabus

Course Organization


Instructor: Andrew Sommese (Hurley 291).

Email: sommese@nd.edu

Office Hours: after class and by appointment.


Exam Schedule

Exam 1: Tuesday, September 28.

Exam 2: Tuesday, November 9.

Final: Wednesday, December 15, 4:15 to 6:15PM

 


Handouts

Analysis of Craps


Homework

Homework 0 (this assignment will not be collected or graded)

Review Chapter 1.  Problems § 1.1: 11; § 1.2: 1, 2, 9; § 1.4: 6; § 1.5: 1, 3, 10;

   § 1.6: 4, 5, 8, 12; § 1.9: 5, 8; § 1.10: 1, 4, 5, 7, 23 ; § 1.13: 7, 20.

 

Homework 1 (due Tuesday, August 31 at the start of class)

Start reading Chapter 2.  Problems

   § 2.4: 1, 5, 15;

   § 2.5: 1, 7, 28, 30, 34, 35, 48, 50, 51, 62, 64;

   § 2.8: 2;             § 2.9: 1, 13, 15, 21, 37.

 

Homework 2 (due Tuesday, September 7 at the start of class)

Read Chapter 2: § 1 to 14.  Problems

   § 2.10: 21, 24;

   § 2.11: 11, 12, 17, 18;

   § 2.14: 1, 4, 8, 9 (ignore the part about using a computer on these problems);

   § 2.17: 1, 2, 7, 25, 32.

Start Reading Chapter 3.  Problems § 3.2: 3, 10, 16.

 

Homework 3 (due Tuesday, September 14 at the start of class)

Read Chapter 2: § 1 to 14.  Problems

   § 3.3: 1, 2;

   § 3.4: 2a, 2b, 10, 13, 15, 18, 20, 23;

   § 3.5: 5, 7, 11, 20, 21, 27, 32;

   § 3.6: 1, 3, 4, 13, 19.

   § 3.7: 1, 2.

Read up to § 3.7.

 

Homework 4 (due Tuesday, September 21 at the start of class)

Read up to the bottom of page 164 on § 3.12.

Problems;

   § 3.7: 11, 12, 15, 22;

   § 3.9: 3, 6, 11, 13;

   § 3.10: 1, 2, 4, 5;

   § 3.11: 12, 15, 18.

   § 3.12: 2.

Read § 4.1 and 4.2.

 

Homework 5 (due Tuesday, October 5 in class)

Read § 4.3–4.9.

Problems;

   § 4.2:  4;

   § 4.4: 1, 11, 14;

   § 4.5: 1, 3, 5;

   § 4.6: 2, 3, 4, 8.

   § 4.7: 1, 4, 15, 22, 23.

   § 4.8: 3, 5, 12, 15.

 

Homework 6 (due Tuesday, October 12 in class)

Read § 4.10 to § 5.4.

Problems;

   § 4.9:  4, 5;

   § 4.11: 3;

   § 4.12: 1, 4, 7, 8, 12;

   § 5.2: 1, 3, 4, 9, 24.

   § 5.3: 6, 17, 18, 19, 20.

 

Homework 7 (due Tuesday, October 26 in class)

Read through § 6.6.

Problems;

   § 5.4:  1a, 2abc, 5, 14, 19;

   § 5.5: 1, 2, 3, 9;

   § 5.6: 1, 13, 25, 26, 27;

   § 6.3: 1.

 

Homework 8 (due Tuesday, November 2 in class)

Read through the end of Chapter 6.

Problems;

   § 6.3: 12a;             § 6.4: 3, 4, 10;

   § 6.6: 1, 6, 9;

   § 6.7: 1, 7, 10, 18, 19;

   § 6.8: 2, 3;             § 6.9: 2, 6, 7;

   § 6.10: 2;               § 6.11: 7, 12.

 

Homework 9 (due Tuesday, November 16 in class)

Read Chapter 15.1 to 15.4

Problems;

   § 15.1: 1, 2, 3, 4, 5, 7, 8;

   § 15.2: 5, 7, 8, 17;

   § 15.3: 6, 8, 12a, 12b, 15, 19.

 

Homework 10 (due Tuesday, November 23 in class)

Read through Chapter 15.5 to 15.7.

Problems;

   § 15.4: 1, 2, 7, 8, 12, 22;

   § 15.5: 1, 2, 5, 13, 16;

   § 15.6: 5, 13, 16.

 

Homework 11 (due Monday, December 6 in class)

Finish reading Chapter 15.

Problems;

   § 15.8: 11, 12, 13;

   § 15.9: 4, 8;

   § 15.10: 4;

   § 15.11: 3, 4, 9.


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