Math 524, Fall 2012

Syllabus for Math 524 Section 001.

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Sections covered and Homework assigned:

section 1.1-1.3, p. 31, #1,8,9,10ab. Due 9-4 in class. Solutions

section 1.4-1.5, p. 31, #7,10cde,11,12,19,20,21. Due 9-13 in class. Solutions

section 1.4-1.5, p. 31, #25,31. Due 9-18 in class. Solutions

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Exam 1, Thursday Sept. 20, 10 problems from above material. Bring blue books! Exam 1 Review.

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Sections covered and Homework assigned:

section 3.1, p. 128, #1,2,3,4. Due 10-2 in class. Solutions

section 3.2, p. 128, #3,4. Write Matlab functions and scripts for 5 Newtons iterations.

section 3.3, p. 128, #3,4. Write Matlab functions and scripts for 5 Hybrid Newtons-Steepest Descent
iterations with alpha=1/3,beta=2/3; choose mu_k and t_k by hand at each iteration.

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Exam 2, Thursday Oct. 25. Ten problems from above sections. Bring Blue Books! Exam 2 Review .

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Sections covered:

section 5.5, Due 11-15 in class. Differentiate g(y)=||(A+y I)^{-1}b||^2-l^2. Solution

section 5.5, Due 11-27 in class. f(x,y,z)=x^2+10y^2+10z^2-8y^3-3/2*y*z^2+x^4+y^4+z^4.
Use Matlab to implement the Newton's trust region method to find local minimizers starting at (4,0,1), (4,1,1) and (4,6,1).

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Exam 3, Thursday Nov. 29. Bring Blue books! Ten questions. Exam 3 Review.

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Sections covered:

p. 266, #1-7. Due last day of class. Solution to problem 4.

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Final Exam: Thursday, Dec. 13, 9 am, in usual classroom. 15-20 or so problems from any of the above sections.
Append the reviews for exams 1, 2, and 3 to the below review. Bring Blue Books.
Do not limit your studying to questions from exams 1, 2, and 3. Final Exam Review.