Math 4541 AU & AG: Dynamics & Bifurcations I,  fall 2020


  • 12:30 pm - 1:45 pm MW

Classroom: Bluejeans and Skiles 168 (see below)



Office hours: 10:30 --11:45 MW (Bluejeans)

 Final exam (According to GT exam calendar, see below):

  • Dec 7 (Mon.), 11:20am -- 2:10pm


Instructor: Chongchun Zeng

Prerequisites: (MATH 2403 or MATH 2413 or MATH 24X3 or MATH 2552 or MATH 2562 or MATH 2X52) and (MATH 1522 or MATH 1553 or MATH 1554 or MATH 1564 or MATH 1502 or MATH 1512)

Overview: This course is a broad introduction to the local and global behavior of nonlinear dynamical systems arising from ordinary differential equations and maps. We start with one dimensional systems and then move to higher dimensional ones. In the latter case, linear systems are discussed in details as they play a crucial role in the study of nonlinear systems. We also focus on fundamental structures such as equilibria and their bifurcations.

Course Modality Information: The course is delivered in hybrid "touch point" mode synchronously.

Textbook: Differential Equations, Dynamical Systems & An Introduction to Chaos, 3rd ed. by Morris Hirsch, Stephen Smale & Robert Devaney.

Material: In this semester, we will discuss topics (roughly Chapter 1--8 of the textbook) among:

Only the simplest scientific calculators are allowed. In particular, graphic calculators are not allowed.

Grades:  1 final exam 50%, 1 midterm 26%, 6 homework assignments 4% each.

          When needed, a curve may be applied to adjust the letter grades upward.                                                              

Important Course info:                                                                                                 

Homework assignments:

Health-Related Considerations (mostly current USG Language):

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Face covering use will be in addition to and is not a substitute for social distancing. Anyone not using a face covering when required will be asked to wear one or must leave the area. Refusal to comply with the requirement may result in discipline through the applicable conduct code for faculty, staff or students.

There are a few exemptions. Reasonable accommodations may also be made for those who are unable to wear a face covering for documented health reasons.

For more information about face masks and coverings, review the guidelines from Human Resources.

Social distancing is expected in the in-class lectures.

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Any student suspected of cheating or plagiarizing on a quiz, exam, or assignment will be reported to the Office of Student Integrity, who will investigate the incident and identify the appropriate penalty for violations.

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as soon as possible, to make an appointment to discuss your special needs and to obtain an accommodations letter.  Please also e-mail me as soon as possible in order to set up a time to discuss your learning needs.

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Campus Resources for Students

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Academic support

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Statement of Intent for Inclusivity

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