Applied Linear Algebra
Fall 2014 MATH 4242 Applied Linear Algebra
Section 030 (19075)
Day/Time: 12:20 P.M. - 01:10 P.M. , M,W,F (09/02/2014 - 12/10/2014)
Location: Burton Hall 123
Instructor: Chenyan Wu
Contact Information: cywu "at" math.umn.edu
Office Hours: 01:10 P.M. - 02:00 P.M. M,W,F at VinH 302
Textbook: Applied Linear Algebra by Peter J. Olver and Chehrzad Shakiban
Course Description: This course basically covers Chapters 1, 2, 3, 5, 7 and 8 of the textbook.
You should have already taken a one-semester course in Linear Algebra. The following knowledge is assumed: systems of linear equations, Gaussian elimination, determinants, vector spaces, linear independence, basis and dimension. However I will review these briefly.
New topics include the Cramer's rule, the row, column spaces, linear transformations, inner product, orthogonality, the Gram-Schmidt algorithm, eigenvalues and eigenvectors, diagonalization, hermitian matrices, the singular value decomposition, quadratic forms, positive definite matrices and the Jordan canonical forms. The lectures follow the text fairly closely.
Homework: Assignments will be posted below. The cut-off time of due date is at 2:00 P.M. Late homework is not acceptable. Discussion among students are encouraged, but everyone must write his/her own solution. Copying is not allowed and university policy applies to those who are found copying. When writing homework present your arguments along with math formulae instead of simply piling up formulae. Be concise and include only related arguments. To avoid losing points unnecessarily do not make the grader guess what you mean. Read the assignments carefully. You do not get partial credits for doing wrong problems.
Exams Schedules (tentative):
Midterm 1: Oct. 1 in class
Midterm 2: Nov. 5 in class
The final is projected to take place at 8:00 a.m.-10:00 a.m., Tuesday, Dec. 16.
Grading: The final grade is produced using the following recipe:
- Homework 30% (with the worst score dropped)
- Each Midterm 20%
- The final 30%.
- The grades will not be curved.
Scholastic Conduct: Discussion on homework problems among students are encouraged. However it is forbidden to simply copy homework. Cheating or other misconduct will not be tolerated and standard university policies will apply.
University Policy Statements: The University Senate statements regarding academic dishonesty, credit, and workload expectations, and grading standards are at:
http://policy.umn.edu/Policies/Education/Education/GRADINGTRANSCRIPTS.html and
http://policy.umn.edu/Policies/Education/Education/STUDENTWORK.html.