Math 401: Applications of Linear Algebra

Spring 2003, Section 0201, Professor Paul Green

Notice: This page is under construction and all material should be considered provisional.

Prerequisites:

Math 401 has a linear algebra prerequisite of either  MATH 240 or MATH 461. The required text is the same as the one most frequently used in those courses. Links to supplementary material appear in the syllabus. This material is also required, and may be printed or downloaded.
 
 


 

Required Text

Lay: Linear Algebra and its Applications.

Exam Schedule

Exam I: Wednesday March 5
Exam II: Friday April 4
Exam III: Friday April 25

Final Examination: Monday May 19,  8:00-10:00

Class Schedule

The class meets according to the following schedule:
Monday, Wednesday, and Friday, 11:00-11:50
 Math Building 0101

 

The table below shows a provisional  syllabus for the course, and homework with due dates.
The handouts referred to either are or will shortly become  live links to  downloadable and printable files. These files are Microsoft Word files which are in the MATLAB notebook format. If  MATLAB is not installed on your computer, you can still read and print the files, but will be unable to reexecute the MATLAB commands that are contained in them. In order to use the MATLAB commands (m-files) that  have been especially written for this course you will need to copy them to a directory accessible to whatever MATLAB installation you are using. You can follow this link in order to do so.
 
Week By Week Syllabus (Provisional)
Week of Topic Source(s) Homework Due Date
January 27 (two meetings) dot products and orthogonal matrices Lay Chapter 6:
Sections 1-2
handout1 		 Handout1:
Problems 1-5
Friday February 7
February 3 Affine transformations, rigid motions and congruence handout2 
Handout2: Problems 1-6		 Friday February 14
February 10 Symmetric Matrices Lay Chapter 7:
Sections 1-2
handout3
Handout3: Problem 1		 Wednesday February 26
February 17 Classification of Critical Points handout4 Handout4: Problems 1-3 Monday  March  3
February 24 Singular value decomposition Lay 7.4
handout5		 Handout 5: Problems 1-3. Wednesday March 12
March 3
Exam I Wednesday		 Least squares and linear models. Lay 6.5-6
handout5		 Handout 5: Problems 4-7 (Problem 5 refers to Section 6.6 of Lay's Text) Monday March 17
March 10 Vector and Matrix norms
and Error estimation		 Helzer notes
Handout 6a		 Helzer notes pages 11-12
problems 1-5		 Friday March 21
March 17 Norms and Error estimation
continued		 Handout 6a Problems 1-3 Monday March 31
March 31
Exam II Friday		 Error Estimation Continued
and Review for Exam
April 7 Linear Programming Helzer: Linear Programming 
handout6
handout7		 Handout6: Problems 1-3 Monday April 21
April 14 Linear Programming
(continued)		 Helzer 6.3 Problems 11, 12 and 15. Solve by both the Simplex method and the logarithmic barrier method. Monday April 28
April 21
Exam III Friday		 Linear Programming continued and review for exam
April 28 Orthogonal Functions handout8 Handout 8 Problems 1,2 Friday May 9
May 5
Orthogonal Functions
(continued)
May 12 Review for  Final

Grading Policy:



 
 

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Disclaimer: This page was last updated on 22 January  2003. While every attempt will be made to keep it current, it is possible that some of the information  is missing or obsolete. Feel free to send  comments   or queries to: 
Paul Green

Department of Mathematics
University of Maryland
College Park, MD 20742