Source: https://www3.nd.edu/~sommese/ACMS10F550/index.html
Timestamp: 2019-04-24 12:05:30+00:00

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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.
Instructor: Andrew Sommese (Hurley 291).
Office Hours: after class and by appointment.
Exam 1: Tuesday, September 28.
Exam 2: Tuesday, November 9.
§ 1.6: 4, 5, 8, 12; § 1.9: 5, 8; § 1.10: 1, 4, 5, 7, 23 ; § 1.13: 7, 20.
§ 2.8: 2; § 2.9: 1, 13, 15, 21, 37.
§ 2.17: 1, 2, 7, 25, 32.
Start Reading Chapter 3. Problems § 3.2: 3, 10, 16.
§ 3.6: 1, 3, 4, 13, 19.
Read up to § 3.7.
Read up to the bottom of page 164 on § 3.12.
§ 3.11: 12, 15, 18.
Read § 4.1 and 4.2.
§ 4.6: 2, 3, 4, 8.
§ 4.7: 1, 4, 15, 22, 23.
§ 4.8: 3, 5, 12, 15.
Read § 4.10 to § 5.4.
§ 5.2: 1, 3, 4, 9, 24.
§ 5.3: 6, 17, 18, 19, 20.
Read through the end of Chapter 6.
§ 6.10: 2; § 6.11: 7, 12.
§ 15.3: 6, 8, 12a, 12b, 15, 19.
Read through Chapter 15.5 to 15.7.
§ 15.6: 5, 13, 16.
§ 15.11: 3, 4, 9.
Click here to go to the Society for Industrial and Applied Mathematics (SIAM) webpage: SIAM is the main professional organization for applied mathematicians. The site has many interesting illustrations of applied mathematics in practice.
Click here to go to the Department of Applied and Computational Mathematics and Statistics (DACMS) home page.
Click here to go to the College of Science home page.
Click here to go to the University of Notre Dame home page.

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