Math 164, Lecture 2 Homework #1, due on Friday, January 13, 2006, in class No late homework accepted. Reading: Chapter 1 (sections 1.2-1.5) [1] (Fitting a quadratic function to data) The following points in the plane are assumed to lie on the graph of a q
Math 164, Lecture 2, Vese Homework #7, due on WEDNESDAY, March 1st Please review sections 6.1, 6.2 (except proof of Thm. 6.2), and 6.2.1. Please read subsection 6.2.2. Problems: [1] Consider the linear program
x1 + x2 1 2x1 x2 2 maximize z = x1 x2 , subje
Math 164, Vese Homework #6, due on Friday, February 17, 2006 Please review sections 5.2 and 6.1 Problems: [1] Consider the linear program: Minimize z = x1 x2 subject to x1 + x2 1 x1 2x2 2 x1 , x2 0. Derive an expression for the set of optimal solutions to
Math 164, Homework #5, due on Friday, February 10, 2006 Remarks: REMINDER: midterm on Friday, February 10, 12-12.50pm (MS 5137). This will be a closed note and closed book written examination. Sections covered for the midterm: 1.2-1.5, 2.2, 2.3 (except 2.
Math 164, Vese Homework #4, due on Friday, February 3rd, 2006 Remarks: Please review Sections 4.1, 4.2 and 4.3 from the textbook.
[1] Solve the following linear program graphically: minimize z = 3x1 + x2 , subject to x1 x2 1, 3x1 + 2x2 12, 2x1 + 3x2 3, 2x
Math 164, Lecture 2 Homework #2, due on Friday, January 20, 2006 (no late homework accepted) Please solve as many problems as you can from the textbook. Also, please review the material in the Appendices, at the end of the textbook, and read Sections 2.2.
Exercise #6, page 446: In the proof of necessary conditions for a local minimizer for non-linear minimization problems with linear inequality constraints (page 440) we needed the following linear algebra result: Let A be an m n matrix, with m n and of ran