**MATH 544**

**Meeting
times**: TTh 2:00 - 3:15
PM at **LeConte**** (****LC****) 115**

**Instructor**: Dr**. Peter G. Binev **http://www.math.sc.edu/~binev/

e-mail: binev@math.sc.edu

phones:
576-6269 (at LC 425) *or*
576-6304 (at SUM 206H)

**Office
hours** (at LC 425): Tuesday 9:00 - 11:00 AM

Thursday
1:00 - 2:00 PM or
by appointment

**Prerequisite/Corequisite**:
MATH 241.

**Learning
Outcomes**: Upon the successful completion
of this course the students will be able to read, interpret, and use
vocabulary, symbolism, and basic definitions from Linear Algebra. They will
comprehend the notions of vector space, independence, basis, and dimension; the
concepts of linear transformations, change of basis, eigenvalues,
and eigenvectors; the procedures of finding solution of linear systems, singular
value decomposition, and diagonalization.

**Web
Materials**: The author of the textbook maintains
a webpage **http://math.mit.edu/linearalgebra/****. **There are several useful materials
and, in particular, the videos from the author’s lectures at MIT in Spring 2010
are available on** ****http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/**

**Attendance**:
Regular class attendance is important. A grade penalty will be applied to any
student missing five or more classes (10%) during the semester. The "10
percent rule" stated above applies to both excused and unexcused absences.
Students who anticipate potential excessive absences due to participation in
permissible events as described in the USC Academic Bulletins (see http://www.sc.edu/bulletin/ugrad/acadregs.html#class%20atten)
should receive prior approval from the instructor to potentially avoid such
penalty.

**Cell
Phones**: All cell phones ** must be turned off** during
the class.

**Homework**:
Students are strongly encouraged to read the corresponding sections from the
textbook and/or watch the corresponding video before or immediately after the
material is presented in class.

A few homework problems will be assigned each class. Be sure
to solve these problems before the next class. The quizzes will be based on
these problems.

**Quizzes**:
At the end of some lectures there will be 5-minute quizzes based on the
homework problems assigned in the previous classes. The accumulated results of
the quizzes will constitute the “Quiz Grade”. There will be no make-up quizzes.

**Midterm
Exam**: There will be a midterm exam in a
form of a test. The tentative date of the exam is **September 22**, **2011**.
There will be no make-up for this exam.

**Final
Exam**: The final exam in a form of a test
will take place on **Wednesday, December 7
at 2:00 PM**. All students must take the final exam.

**Graduate
Students**:** **The graduate students will receive an additional problem on the
exams. Each of them should prepare a research paper (5 to 10 pages long)
discussing a chosen topic from Linear Algebra that relates to their research
area. The papers should be submitted in class (or via e-mail) on or before **November 17, 2011**.

**Grading
(undergraduates)**: The final grade will be
determined from the quizzes (30%), the midterm exam (30%), and the final (40%).

**Grading
(graduate students)**: The final grade will be
determined from the quizzes (20%), the midterm exam (20%), the paper (20%), and
the final (40%).

**Grading
Scheme**: The grades will be assigned as
follows: **A** for 90-100%; **B+** for 86-89%; **B** for 80-85%; **C+** for
76-79%; **C** for 70-75%; **D+** for 66-69%; **D** for 60-65%; **F** for less
than 60.

**Academic
Dishonesty**: Cheating and plagiarism will
not be allowed. The University of South Carolina has clearly articulated its
policy governing academic integrity and students are encouraged to carefully
review the policy (http://www.housing.sc.edu/academicintegrity/policy.html)
on the Honor Code in the Carolina Community.

**ADA**:
If you have special needs as addressed by the Americans with Disabilities Act
and need any assistance, please notify the instructor immediately.

**Important
Dates**:
August
24 – Last day to drop without **W**

September 22 – Midterm Exam

October 13 – Last day to drop
without **WF**

October 20 - 21 – Fall Break

November 17 – Deadline to
submit the papers for the graduate students

November 23 - 27 – Thanksgiving
recess - no classes

December 2 – Last day of
classes

December 7 – Final Exam at
2:00 PM