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

Schedule:

  • 12:30 pm - 1:45 pm MW

Classroom: Bluejeans and Skiles 168 (see below)

Email: zengch@math.gatech.edu

Webpage: www.math.gatech.edu/~zengch

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

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

  • Dec 7 (Mon.), 11:20am -- 2:10pm


Syllabus

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):

Effective July 15, 2020, University System of Georgia (USG) institutions will require all faculty, staff, students, and visitors to wear an appropriate face covering while inside campus facilities/buildings where six feet social distancing may not always be possible.

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.


Academic Integrity

Georgia Tech aims to cultivate a community based on trust, academic integrity, and honor. Students are expected to act according to the highest ethical standards.  For information on Georgia Tech's Academic Honor Code, please visit http://www.catalog.gatech.edu/policies/honor-code/ or http://www.catalog.gatech.edu/rules/18/.

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.

Accommodations for Students with Disabilities

If you are a student with learning needs that require special accommodation, contact the Office of Disability Services at (404)894-2563 or 

http://disabilityservices.gatech.edu/

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.

Student-Faculty Expectations Agreement

At Georgia Tech we believe that it is important to strive for an atmosphere of mutual respect, acknowledgement, and responsibility between faculty members and the student body. See http://www.catalog.gatech.edu/rules/22/ for an articulation of some basic expectation that you can have of me and that I have of you. In the end, simple respect for knowledge, hard work, and cordial interactions will help build the environment we seek. Therefore, I encourage you to remain committed to the ideals of Georgia Tech while in this class.


Campus Resources for Students

In your time at Georgia Tech, you may find yourself in need of support. Below you will find some resources to support you both as a student and as a person.  

Academic support


Personal Support

Georgia Tech Resources


Statement of Intent for Inclusivity

As a member of the Georgia Tech community, I am committed to creating a learning environment in which all of my students feel safe and included.  Because we are individuals with varying needs, I am reliant on your feedback to achieve this goal.  To that end, I invite you to enter into dialogue with me about the things I can stop, start, and continue doing  to make my classroom an environment in which every student feels valued and can engage actively in our learning community.