All Materials from Spring 2017 Semester
Class content and policy
Syllabus and Class PolicyHandouts
Summary of topics covered in class: TopicsExams
Midterm Exam
Midterm pdf.Final Exam
Final pdf.Assignments
Assignment 1
Assignment 1.Assignment 2
Assignment 2.Assignment 3
Assignment 3.Assignment 4
Assignment 4.Assignment 5
Assignment 5.Assignment 6
Assignment 6.Spring 2017 Student presentations
- Ergodic Theory and Statistical Mechanics slides.
- The Rossler System slides.
- Dynamical Billiards slides.
- Introduction to Chaos of Financial Markets slides.
- Calculating the Lorenz System Lyapunov Exponents slides.
- Chaos Economics slides.
- Difference Between Chaos and Randomness slides.
- Chaos and Strange Attractors slides.
All Materials from Spring 2016 Semester
Spring 2016 Class Content and Policy
Syllabus and Class PolicySpring 2016 Handouts
Summary of topics covered in class: TopicsSpring 2016 Exams
Midterm exam on Tuesday March 15
pdfFinal exam on Tuesday May 3
pdfSpring 2016 Assignments
Assignment 1
Read chapters 1 and 2.Submit Problems: 2.1.3, 2.2.1, 2.2.7, 2.2.10, 2.2.13, 2.3.1, 2.4.4, 2.4.9, 2.5.2, 2.5.5, 2.7.1, 2.8.2 (d), 2.8.3.
Assignment 2
Assignment 2 on existence and uniqueness.Assignment 3
Assignment 3 on bifurcation, dimensional analysis, singular perturbation.Assignment 4
Assignment 4 on two dimensional flows, linear systems, nonlinear systems and phase portraits.Assignment 5
Assignment 5 on two dimensional flows: alpha and omega limit sets, Poincare Bendixson Theorem, no chaos in two dimensions, limit cycles, Hopf bifurcations..Assignment 6
Assignment 6 on three dimensional flows: Chaos, strange attractors, fractals, Liapunov exponent.Spring 2016 Student presentations
- The logistic map and chaos slides.
- Theoretical model of cancer growth slides.
- Introduction to mass action kinetics and chemical reaction networking modeling slides.
- Nonlinear dynamical system in humanoid robots slides.
- Navier-Stokes equation: Theory and applications slides.
- The structure of chaos slides.
Spring 2016 Photos
