Fall 2012

This schedule is subject to change.

Date Topic
Wed 8/29 Introduction, 1.1 Modeling
Fri 8/31 More 1.1 Modeling, 1.2 Separation of variables
Mon 9/3 Labor Day
Wed 9/5 More 1.2 Separation of variables
Fri 9/7 1.3 Slope fields
Mon 9/10 1.4 Numerical methods
Wed 9/12 1.5 Existence and uniqueness
Fri 9/14 1.6, 1.7 Equilibria and bifurcations
Mon 9/17 More 1.7 Equilibria and bifurcations
Wed 9/19 1.8 Linear equations
Fri 9/21 More 1.8 Linear equations
Mon 9/24 2.1 Systems
Wed 9/26 More 2.1 Systems, 2.2 Geometry
Fri 9/28 2.3 Analytic methods
Mon 10/1 2.4 Numerical methods
Wed 10/3 7.1 Numerical methods
Fri 10/5 2.5 Lorenz equations
Mon 10/8 Catch up, review
Wed 10/10 First exam
Fri 10/12 Fall break
Mon 10/15 3.1 Linear systems
Wed 10/17 More 3.1 Linear systems, 3.2 Eigenvectors and solutions
Fri 10/19 More 3.2 Eigenvectors and solutions
Mon 10/22 3.3 Real eigenvalues
Wed 10/24 More 3.3 Real eigenvalues, appendix B Complex numbers
Fri 10/26 3.4 Complex eigenvalues
Mon 10/29 3.5 Repeated and zero eigenvalues
Wed 10/31 3.6 2nd-order equations
Fri 11/2 4.1 Linear nonhomogeneous systems
Mon 11/5 More 4.1 Linear nonhomogeneous systems, 4.2 Sinusoidal forcing
Wed 11/7 More 4.2 Sinusoidal forcing, 4.3 Forcing and resonance
Fri 11/9 More 4.3 Forcing and resonance
Mon 11/12 5.1 Equilibrium point analysis
Wed 11/14 More 5.1 Equilibrium point analysis, 5.2 Qualitative analysis
Fri 11/16 More 5.2 Qualitative analysis
Mon 11/19 5.3 Hamiltonian systems
Wed 11/21 Thanksgiving break
Fri 11/23
Mon 11/26 3.8 and 5.5, 3-dimensional systems
Wed 11/28 Catch up, review
Fri 11/30 Second exam
Mon 12/3 7.2 Improved Euler
Wed 12/5 7.3 Runge-Kutta
Fri 12/7 More 7.3 Runge-Kutta, Maple
Mon 12/10 Summary, review