Instructor Mohammad Javad Latifi
Syllabus
Week 1:
- introduction (1.1,1.2)
- classification (1.3)
- direction fields
- linear first order equations (2.1)
- integration factors (2.1)
Week 2:
- linear vs. non-linear ODEs (2.4)
- model building (2.3)
- separable equations (2.2)
- autonomous equations and population dynamics (2.5)
- Assignments: HW1 due
Week 3:
- second order constant coefficients equations; Wronskian (3.1,3.2)
- characteristic equation and complex roots (3.3)
- repeated roots and order reductions (3.4)
- Assignments: HW2 Due
Week 4:
- method of undetermined coefficients and VoP (3.5,3.6)
- review of matrices (7.1,7.2)
- vibrations (3.7)
- Assignments: HW3 due
Week 5:
- systems of ODEs, existence uniqueness and solutions of of systems (7.3,7.4)
- constant coefficients (7.5,7.6)
- Midterm 1, April 29, 5 PM, Kemeny 008
- Assignments: HW4 due
Week 6:
- fundamental matrices (7.7)
- repeated eigenvalues (7.8)
- phase place (9.1)
- Assignments: , HW5 Due
Week 7:
- non homogenous linear systems (7.9)
- autonomous systems and stability (9.2)
- Midterm 2, TBD
- Assignments: HW6 Due
Week 8:
- competing species predator prey (9.4,9.5)
- Laplace transform and IVP (6.1,6.2)
- Assignments: HW8 Due
Final Exam, TBD