Courses of Study 2021-2022 
    
    Sep 27, 2022  
Courses of Study 2021-2022 [ARCHIVED CATALOG]

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MATH 4210 - Nonlinear Dynamics and Chaos


(MQR-AS, SMR-AS)      
Spring. 4 credits. Student option grading.

Forbidden Overlap: due to an overlap in content, students will receive credit for only one course in the following group: MAE 5790 , MATH 4200 , MATH 4210.
Prerequisite: high level of performance in MATH 2210 -MATH 2220 , MATH 2230 -MATH 2240 , or MATH 1920  and MATH 2940 ; MATH 2930  or equivalent preparation in differential equations; or permission of instructor. Students will be expected to be comfortable with proofs. Co-meets with MAE 5790 .

Staff.

Introduction to nonlinear dynamics, with applications to physics, engineering, biology, and chemistry. Emphasizes analytical methods, concrete examples, and geometric thinking. Topics include one-dimensional systems; bifurcations; phase plane; nonlinear oscillators; and Lorenz equations, chaos, strange attractors, fractals, iterated mappings, period doubling, renormalization.



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