550.692
MATRIX ANALYSIS AND LINEAR ALGEBRA
FALL 2009

Instructor:	Dr. Donniell Fishkind, 304-B Whitehead Hall, <fishkind@ams.jhu.edu>
Office_Hours:	MWF 10am-10:50am, and by appointment.
Lectures:	MWF 9am-9:50am, Whitehead 304.
Textbook:	Matrix Analysis, by Horn and Johnson, Cambridge University Press.
Teaching_Assistant:	Jason Matterer. Discussion Section each Tuesday, 10:30-11:20am in same room as lecture. Office Hours are Monday 11:00am-noon and Thursday 2:00-3:00pm (held in the help room on second floor of Whitehead Hall). Jason's webpage is here.
Description:	(From JHU Manual) A second course in linear algebra with emphasis on topics useful in analysis, economics, statistics, control theory, and numerical analysis. Review of linear algebra, decomposition and factorization theorems, positive definite matrices, norms and convergence, eigenvalue location theorems, variational methods, positive and nonnegative matrices, generalized inverses. Prerequisites: linear algebra, multivariable calculus, 110.405.
Grades:	Weekly homework and exams. The exams may be in-class or take-home. It is likely that there will be at least one of each. For the take-home exams you will not be permitted to consult with any person or text, including the official class text, nor any web materials or (at any time) exams and/or solutions from previous years. You may, however, consult lecture notes that you write this semester. It is therefore very important that you maintain a good set of lecture notes. Take-home exams are only possible when I can trust the integrity of the exam. Any violation of academic ethics will be prosecuted vigorously, in accordance with the procedures outlined in the student manual.
General:	Everyone is responsible for attending all lectures and hearing all announcements. Exam 1 will be held on Wednesday, October 21.

Homework:

• Homework 1, due Tuesday September 22 in discussion period: Problems 1.2.4, 1.2.6, 1.3.2, 1.3.5, 1.3.12, 1.3.13. Other problems that you should solve for yourself but that you do not need to hand in are 1.3.3, 1.3.4, 1.3.6, 1.3.16, and 1.4.4.
• Homework 2, due Tuesday October 6 in discussion period: Problems 2.1.12, 2.1.13, 2.5.6, 2.5.7, 2.5.8, 2.5.9, 2.5.13, 2.5.15. Other problems that you should solve for yourself but not hand in include 2.2.4, 2.3.1, 2.3.6, 2.5.1, 2.5.2, 2.5.12, 2.5.14.
• Homework 3, due Tuesday October 13 in discussion section: Problems 2.5.24, 2.5.25, 2.5.34, 3.2.6, 3.2.7, 3.2.16, 3.3.15. Other problems that you should solve for yourself but not hand in include 3.2.4, 3.2.8, 3.2.9, 3.2.13, 3.2.14, 3.2.17, 3.3.1, 3.3.3, 3.3.4, 3.3.8, 3.3.9, 3.3.13, 3.3.16.
• Homework 4, due Friday October 30: Problems 4.1.11, 4.3.10, 4.3.13, 4.3.17, 4.3.18, 4.3.19. Other problems that you should solve for yourself but do not need to hand in include 4.1.13, 4.3.1, 4.3.6, 4.3.9, 4.3.14, 4.3.16.
• Homework 5, due Monday Nov 9: Problems 7.3.1, 7.3.9, 7.3.13, 7.3.14.
• Solutions for Exam 1 are posted here.
• Exam 2 is a take-home exam. You should download it only when you are ready to take it; from the time you download the exam until the time you submit it you are not allowed to consult any texts, online resources, or people other than me and your lecture notes and graded hw. It is not advisable to download it until after Tuesday Nov 10 discussion period, so that you may attend that discussion period. Download here. Due Tuesday November 17 at start of discussion period.
• Homework 6, due Tuesday Nov 24 in discussion period: Problems 5.6.27 parts c and d, 5.6.37, 5.8.3, 5.8.6, 5.8.8, 5.8.16, 5.8.17. You should also look at and solve (but not turn in) 5.6.3, 5.6.7, 5.6.15, 5.6.18, 5.8.1.

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