Syllabus

What follows is a tentative schedule. The section numbers are references to the text (Brannan and Boyce).

If you are in Akshay Venkatesh's lectures you can find more detail on what was covered week-by-week here. If you are in Maksim Maydanskiy's lectures see hissummaries.

Weeks 1-3 (classes 1-9)

  1. April 1: differential equations -- basics and examples (1.1).
  2. April 3: Linear first order DE with constant coefficients (1.1).
  3. April 5: Linear first order DE with variable coefficients (1.2).
  4. April 8: separation of variables (2.1).
  5. April 10: separation of variables, ctd. (2.1)
  6. April 12: homogeneous differential equations.
  7. April 15: Exact differential equations (2.5)
  8. April 17: Exact differential equations ctd. (2.5)
  9. April 19: Existence/uniqueness for ODE (2.3)
Monday, April 22 is the first midterm; it will cover weeks 1--3 of the syllabus.

Weeks 4-6 (classes 10-18)

  1. April 22: Systems of linear DE (3.2)
  2. April 24: Existence and uniqueness for systems of ODE, constant coefficient systems (3.2, 3.3)
  3. April 26: 3.2
  4. April 29: 3.3, 3.4.
  5. May 1: 3.4
  6. May 3: 3.5
  7. May 6:3.5 ctd
  8. May 9: Inhomogeneous linear systems and variation of parmaeters (4.7)
  9. MAy 11: 4.7 ctd
Monday, May 13 is the second midterm; it will cover weeks 4--6 of the syllabus.

Weeks 7-10 (classes 19-28)

  1. May 13: second order linear differential equations and examples (4.4)
  2. May 15: oscillations with external driving (4.6)
  3. May 17: Laplace transforms -- introduction (5.1, 5.2)
  4. May 20: Laplace transform ctd (5.3, 5.4)
  5. MAy 22: Laplace transform ctd. (5.3, 5.4)
  6. MAy 24: Nonlinear systems (3.6)
  7. May 29: Nonlinear systems ctd (7.1--7.4)
  8. May 31: Matrix exponentials and applications
  9. June 3: Matrix exponentials and applications ctd.
  10. June 5: Review.
Friday, June 7 is the final exam.