MTH 420/520: MODELS AND METHODS OF APPLIED MATHEMATICS - Spring 2019
Links
General information
Schedule
Schedule
Please note that the dates (due) below including discussion dates are tentative. They are in blue.
Course notes, assignments, and additional materials are posted on the course CANVAS site. In particular, the "Welcome" message posted on CAANVAS describes the expectations on how the assignments should be completed.

    Week 1
  1. 4/1/19: Introduction. Class notes, part I (draft April 15) are on CANVAS.
  2. 4/3/19: Equilibrium systems: discrete models.
  3. 4/5/19: Discussion and class activity on spd systems
    Survey due Link is here http://oregonstate.qualtrics.com/jfe/form/SV_cZmN4I73xiOSL8F.
    Week 2
  4. 4/8/19: Networks and equilibria.
  5. 4/10/19: Convexity, two ways.
  6. 4/12/19: Equlibria: continuous models.
    HW1 due in class
    Class activity on networks and first variation.
    Week 3
  7. 4/15/19: Class activity on minimization of functionals.
  8. 4/17/19: Discussion and class activity on EL
  9. 4/19/19: Continue EL: explain steps in getting EL.
    Week 4
  10. 4/22/19: Review and practice midterm problems.
    HW2 (networks, equilibria, and convex functions) due in class.
    Help session (Kidd 392a and Kidd 358).
  11. 4/24/19: Exam I.
  12. 4/26/19: Least squares.
    Week 5
  13. 4/29/19: Class activity on least squares.
  14. 5/1/19: Class activity on least squares CD.
  15. 5/3/19: Projections and LSQ. How to orthogonalize a basis.
    HW3 (on LSQ) due in class
    Week 6
  16. 5/6/19: SVD.
  17. 5/8/19: SVD for non-square matrices. Low rank approximations.
  18. 5/10/19: Pseudo-inverse and solving rank-deficient problems using SVD.
    HW4 (on SVD) due in class
    Week 7
  19. 5/13/19: Using SVD to solve singular and close-to-singular problems. Inverse problems: barcode raeding, seismic inversion.
  20. 5/15/19: Review for Exam.
    Help session 6:00pm-
  21. 5/17/19: Exam II.
    Week 8
  22. 5/20/19: Start Fourier analysis. Eigenvalues and eigenvectors of equilibrium differential equations.
    HW5 (on ill-posedness, inverse problems, and SVD) due in class
  23. 5/22/19: Fourier series.
  24. 5/24/19: Class activity on Fourier series.
    Week 9
  25. 5/27/19: no class (Memorial Day)
  26. 5/29/19: Complex Fourier series. DFT = Discrete Fourier Transform. Use fft and ifft. Fourier for music.
  27. 5/31/19: Using projections for classification.
    HW6 (on Fourier analysis) due in class
    Week 10
  28. 6/3/19: Stochastic matrices and the power iteration; application to Page Rank.
  29. 6/5/19: Optimization under equality and inequality constraints; use Lagrange multipliers.
  30. 6/7/19: Review.
    HW7 (on eigenvectors) due in class