Course description: The lectures will cover most sections in the book with the exceptions of Chapters 3 & 4.Topics that will be discussed include abstract vector spaces, linear independence, bases, linear transformations, eigenvalues and eigenvectors, inner product spaces, orthogonality, the Gram-Schmidt process, adjoint operators and Jordan canonical forms. The course has an E-companion website for access to grades throughout the semester, links to handouts and other important announcements.

Students enrolled in this class must have already taken Math 313 (Intro to Linear Algebra) or equivalent. Therefore, they are expected to be familiar with basic concepts (such as matrices, determinants, systems of linear equations) and have developed certain level of intuition of working with them. The majority of Chapters 3 & 4 will be the responsability of students to review (being similar to the Math 313 material). The present course will emphasize logical reasoning, operation with more abstract notions and proof techniques. Understanding and creative interpretation of the concepts will be expected rather than mere memorization of the facts. Successful students not only will gain better understanding of linear algebra, but also will improve their problem solving, abstraction and generalization skills. They will leand ways to clearly communicate mathematical ideas both verbally and in writing, and to build an organized context for the mathematics they learn.

Homework: Bi-weekly sets of homework problems from the textbook and other sources will be assigned, with due date on Tuesdays, unless otherwise specified. No late homework will be accepted or graded. For Math 513 credit, students will have additional homework problems to turn in. Group work is generally discouraged, and individual solutions to homework problems is expected from each student.

Exams: There will be 2 midterm Exams during the semester and a comprehensive Final Exam, scheduled as follows

Exam 1: Wednesday, Oct 10
Exam 2: Monday, Nov 19
Final Exam: Wednesday, Dec 12

There will be no make up exams so please mark your calendars! If a student informs me well before the exam date about absolutely having to miss an upcoming exam AND provides acceptable written verification in support of the request, then the final exam score will be used to replace that particular exam. If any of the above conditions is not satisfied, the student will get a zero on the missed exam. The above procedure may only be applied once. The Final Exam cannot be missed under any circumstances.

Grading: The course grade will be the higher of the two derived according to the following schemes: Scheme 1 = homework (30%), the two exams (20% each) and the final exam (30%); Scheme II = homework (30%), the best of two exams (30%) and final (40%). The final scores will be 'curved' to reflect the class distribution. Each student will receive a letter grade based on his/her relative standing in the class. Although attendance and participation do not formally enter the above computation, they will be taken into account every time one's score falls close to the cut-off value for a particular letter grade. At the same time you may be assured that if your score is at least 90% (or 80%,70%), then your letter grade will be at least A (or B, C respectively).

Other policies To make the most of your class, you are required to attend every class session. Students should notify (in advance) the instructor if they need to miss more than one session. Supporting documentation may be required. For other course policies, consult the "Departmental Policies" link on the Math department web site http://www.uccs.edu/math. Drop dates: Please seek counseling from the Dean's office before dropping any course and note the following important dates: Sep 6 – last day to drop and receive a full tuition refund; Nov 2 – last day to drop without special permission from the Dean.

Academic Dishonesty Academic honesty is fundamental to the activities and principles of a university. All members of the academic community must be confident that each person's work has been responsibly and honorably acquired, developed, and presented. Any effort to gain an advantage not given to all students is dishonest whether or not the effort is successful. The academic community regards academic dishonesty as an extremely serious matter, with serious consequences that range from probation to expulsion. When in doubt about plagiarism, paraphrasing, quoting, or collaboration, consult the course instructor.

Disability Services Students with disabilities should contact the Office of Disability Services (Main Hall 105, phone 262-3354) and also notify the instructor of any special needs. They should provide their letter of certification from the Office of Disability Services within the first two weeks of classes.