Version of March 3, Jan 26, 2009.
MATH 484, Spring 2009
Nonlinear Programming
MWF11 at 149 Henry
Zoltan Furedi


TENTATIVE SCHEDULE


Jan 21, Wednesday: How to use calculus for minimization,
Jan 23, Friday: Continuity. Mean value thms.

Jan 26, Monday: Higher dimensional space. Normed spaces, Cauchy Schwartz inequality
Jan 28, Wednesday: Critical points in R^n
Jan 30, Friday: Section 1.2 Gradients, Hessian.

Feb 2, Monday: Section 1.3. Quadratic forms, test for pos definity.
Feb 4, Wednesday: 1.3 Finding min by checking Hessian at critical points. Saddle points.
Feb 6, Friday; Open and closed sets, boundary of open convex sets.
  • HW1 is due

    Feb 9, Monday: 1.4 Bolzano-Weierstrass (Thm 1.4.1) and coercive functions.
    Feb 11, Wednesday: 1.5 Eigenvalues
    Feb 13, Friday: Section 2.1 Convexity, convex hull, convex combination (Section 2.2 is skipped.)
  • HW2 is due

    Feb 16, Monday: Section 2.3 Convex functions, Jensen's inequality
    Feb 18, Wednesday: Section 2.3 Convex functions and minimization
    Feb 20, Friday: Section 2.4
  • HW3 is due

    Feb 23, Monday: Section 2.4
    Feb 25, Wednesday: Section 2.5
    Feb 27, Friday: Chapter 2.5

    March 2, Monday: Chapter 4
    March 4, Wednesday: Chapter 4
  • Evening EXAM 1, 5-7:00 pm in 341 Altgeld Hall.
    (Henry Adm closes at 5 and no rooms can be reserved there.)
    March 6, Friday: Chapter 4
  • HW4 is due

    March 9-20, --- classes are cancelled

    March 23-27, --- No class, Springbreak

    March 30, Monday: Chapter 4
    April 1, Wednesday: Chapter 4 (skip 4.4.5)
    April 3, Friday: Section 5.1 Convexity, separation
  • HW5 is due

    April 6, Monday: Section 5.1
    April 8, Wednesday: Section 5.2
  • Evening EXAM 2, 5-7:00 pm in 341 Altgeld.
    April 10, Friday: Section 5.2

    April 13, Monday: Section 5.3
    April 15, Wednesday: Section 5.3
    April 17, Friday: Section 5.4
  • HW6 is due

    April 20, Monday: Section 5.4
    April 22, Wednesday: Chapter 3
    April 24, Friday: Chapter 3 (we leave out 3.3, 3.5 and the end of 3.2 from middle of pp 94-97)
  • HW7 is due

    April 27, Monday: Chapter 3
    April 29, Wednesday: Chapter 3
  • Evening EXAM 3, 5-7:00 pm in 341 Altgeld.
    May 1, Friday: Chapter 3
  • HW8 is due

    May 4, Monday: Chapter 6 or 7.2
    May 6, Wednesday: last lecture.
  • HW9 is due
    --------
    May 12, Tuesday: 7:00-10:00 pm, FINAL EXAM in our usual classroom (149 Henry).