Instructor: Dr. Shuzhou Wang
Class Time, Location: DAILY 11:45am-12:45pm, Boyd 222
Office Hours: DAILY 1:00-2:00pm, Boyd 507, or by appointment.
Phone, E-mail: 542-0884, 542-2211,szwang at math dot uga dot edu

Required Textbook:
Linear algebra (4th ed), Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence

References (on one day reserve in the science library):
1. Linear Algebra, 2nd ed, Kenneth M Hoffman, Ray Kunze, call number: QA251 .H67
2. Linear Algebra , (inexpensive Dover ed), Georgi E. Shilov,  call numbers: QA184 .S56, or QA251 .S55813,

Prerequisites: MATH 3000 and MATH 4000/6000

Objectives/Topics of the Course: The objective of this course is to understand "the canonical forms of matrices and linear transformations", e.g., diagonal and Jordan conconical forms. The approach in this course is to study the effects of the linear transformations and linear transformations associated with matrices on vectors and subspaces of a given vector space. Only special matrices and linear transformations can be diagonalized. The most important of these are normal matrices/operators on an inner product space, and the spectral theorem gurantees their diagonalizability. All finite square matrices and linear transformations on a finite dimensional space have Jordan canonical forms.

Topics of the courses are included in chapters 5, 6 and 7 of the textbook: Eigenvalues and Eigenvectors, Diagonalizability, Invariant Subspaces and the Cayley-Hamilton Theorem, Inner Products spaces, The Gram-Schmidt Orthogonalization Process and Orthogonal Complements, The Adjoint of a Linear Operator, Normal and Self-Adjoint Operators, Unitary and Orthogonal Operators and Their Matrices, Orthogonal Projections and the Spectral Theorem, Jordan Canonical Form and its Computation. The Minimal Polynomial.

Homework Assignments will normally be given and collected each week.

Test Dates: There will be two "mid-term" tests and a final exam.
          Test 1: June 30
          Test 2: July 14
          Final Exam (take-home): due August 2.

Other important dates: click the UGA Calendar

Make-up Tests, Late Homework: No make-up tests will be given and no late homework will be accepted. Homeworks are always due during class on the due date. A missed test or homework will be assigned the score 0. (If you miss one of the "mid-term" tests in an extreme situation, I will apply your final exam score to that test.)

Class Attendance and Participation are very important in this class. It is your responsibility to keep up with the course and be informed of time and schedule changes, ad hoc announcements, etc.

Collaboration and UGA Academic Honesty: You are encouraged to form study groups to discuss the material of the course. However, you must write up your own homework with your own words and understanding. Plagiarism, among other things, is prohibited. Above all, UGA Academic Honesty Policy applies: "All students are responsible for maintaining the highest standards of honesty and integrity in every phase of their academic careers. The penalties for academic dishonesty are severe and ignorance is not an acceptable defense." If you are inspired by, or obtain help from other(s) for any work submitted for grading, you need to acknowledge this in the work. For more information, visit the web page http://www.uga.edu/ovpi/honesty/acadhon.htm

Collaboration and Academic Honesty: You are encouraged to form study groups to work on homework and discuss the material for the course. However, you must write up your own work that is turned in for grading, and no collaboration is allowed on tests/exams. Plagiarism, among other things, is prohibited. Above all, UGA Academic Honesty Policy applies: "All students are responsible for maintaining the highest standards of honesty and integrity in every phase of their academic careers. The penalties for academic dishonesty are severe and ignorance is not an acceptable defense." For more information, visit the web page http://www.uga.edu/ovpi/honesty/acadhon.htm

Grading Policy: Course grade will be assigned approximately according to: Homework 20%; Tests 40%; Final 40%.

This syllabus provides a general guide for the course. Deviation may be necessary.