MATH 401(0201) - Joel M. Cohen (Fall, 2006)

Title:  Applications of Linear Algebra

We will cover Chapters 1-5 of Strang and parts of Chapter 6, 7, and 8.

This means we will consider Gaussian elimination, vector spaces, orthogonality, determinants, eigenvalues and eigenvectors and positive definite matrices. We will then consider various applications of linear algebra: theory of finite games, linear programming, the simplex mathod, matrix methods as applied to finite Markov chains, the finite element method, and the fast Fourier trasform.

Go back to Home Page

Web Posting:  If you have given me email or other written permission to post your grades under your student ID or another alias, you may check your grades by clicking here.
 

Sample tests:  Sample tests are available by clicking here.

First Exam: September 28

Second Exam: October 26

Third Exam: December 5

Final Exam: Thursday, Dec 14, 8:00-10:00 am

Grading Policy

Grades will be based on three hour exams counting 100 points each, the lowest counting 50 points,
homework and quizzes worth 100 points, and a final examination that is worth 200 points.

Quality: The quality of presentation of solutions will be taken seriously in this course in the grading of tests and other assignments.

Makeup exams will not be given.  If you have an excused absence for an exam, the grade will be replaced by 1/2 of the final.  If you have taken all three exams, the lowest grade will count for half.  Excused absences will be given only for valid medical reasons, University business, or appearances in court.  Excused homework or quizzes will not be used in computing the final grade.   Make-up quizzes will not be given.  Any unexcused absences on quizzes or exams or unexcused late homework will be counted as 0, including the final exam.  Any student with a valid reason to be excused from an exam must contact me prior to the exam, either by email or by phone, and present documentation at the next class session attended.   If you need to be excused for a religious observance, you should let me know as soon as possible, but in any case no later than the end of the first week.

The University of Maryland, College Park has a code of academic integrity administered by the Student Honor Council. This Code sets standards for academic integrity at Maryland for all undergraduate and graduate students. As a student you are responsible for upholding these standards for this course. It is very important for you to be aware of the consequences of cheating, fabrication, facilitation, and plagiarism. For more information on the Code of Academic Integrity or the Student Honor Council, please visit the Student Honors Council web site.

We will cover Chapters 1-5 and parts of Chapter 6,7,8 of Strang.

Sections are from Linear Algebra with Applications, 4th edition by Strang.

Homework problems.

You should at least be able to work these problems; those in bolded italics are to be turned in.

Exercises (Text 4th Edition)

• §1.3, p. 16: 1,4,5,10,11,16,18,25,30
  
• §1.4, p. 26: 1,3,4,9,13,18,22,26,34,46,47,54,59,61
  
• §1.5, p. 39: 2,4,5,11,13,15, 20,21,22, 29, 31,32
• §1.6, p. 52: 1, 2,  3,  5, 14, 15, 20, 23, 24, 35, 36, 37, 49, 50, 56, 59, 60, 64
• §1.7, p. 63: 1, 7, 8
• §2.1, p. 73: 1, 3, 5, 7, 8, 9, 10, 14, 21, 22, 24
• §2.2, p. 85: 2, 3, 4, 5, 6, 7, 14, 33, 34, 35, 36, 42, 44
• §2.3, p. 98: 1, 2, 7, 8, 11, 13, 15, 16, 22, 25, 33, 36, 37, 38, 39
• §2.4, p. 110: 2, 3, 4, 11, 12, 13, 14, 18, 32, 33, 37
• §2.5, p. 122: 1, 2, 4, 6, 10
• §2.6, p. 133: 3, 7, 9, 15, 17, 19, 31, 36, 37, 46
• §3.1,  p.149: 1, 2, 4, 5, 6, 9, 12, 14, 34, 35, 37
• §3.2,  p. 158: 5, 7, 10, 16, 17, 19, 24, 25
• §3.4,  p. 185: 1, 4-7, 9, 11, 13, 14, 16-7, 19, 22, 29
• §4.2,  p. 206: 1, 2, 4, 7, 9, 10, 12, 13, 16, 18, 22, 23, 25, 26, 27
• §4.3,  p. 215: 1, 2, 8, 9, 15, 16, 28
  
• §4.4,  p. 225: 1, 2, 3, 6, 13, 14, 18
• §5.1,  p. 240: 1, 2, 4, 5, 8, 9, 12, 14, 19, 21, 22, 24, 31, 33, 37
• §5.2,  p. 250:  1, 2, 5, 6, 7, 9,10, 15, 24, 27
  
• §5.3,  p. 262: 2, 3, 4, 5, 6, 8, 10, 12, 13, 18, 23, 25
• §5.4,  p. 275: 1, 2, 3, 5, 7, 8, 9, 10, 19, 23, 33, 34, 36, 37
• §5.5,  p. 288: 1-3, 5-7,13, 21-22, 27-8
• §5.6,  p. 302: 1-3, 5, 8, 13, 15, 19, 22, 23, 25, 28-9, 35
• §3.5,  p. 196: 3, 7-9, 11, 12
• §6.1,  p. 316: 1-5, 7-9, 12, 14, 17-19
• §6.2,,  p. 326: 1-2, 4-5, 8-9, 20-21, 24, 30-31, 35
• §6.3,  p. 337: 1, 2, 3, 5, 13

§ May be changed during the course of the semester. The Math 401 WEBPAGE (www.math.umd.edu/~jmc/401.html) will be kept up-to-date as changes are made.