**Spring 2008**

**MAT 262:
Linear Algebra**

**Section 901, Th 5:45-9:00PM, Byrne 552**

**Instructor**: Stefan Catoiu

**Office**: 526 SAC

**Phone**: (773) 325-4669 ** **

**E-mail**: scatoiu@condor.depaul.edu

**Office hours**: Tu,
Th 4:30-5:30, or by appointment.

__Textbook____:__* Linear Algebra*, 3rd Edition, by Fraleigh and Beauregard, Addison-Wesley
1995.

__Prerequisites____:__ MAT 261: Multivariable
Calculus.

__Course Content____: __

**Part I:** Concrete Linear Algebra: vectors
in n-space, norm and dot product (review). Matrices and
operations with matrices. Rank and nullspace
of a matrix. Systems of linear equations; Gaussian
elimination. Homogenous systems. Inverses of square matrices. Determinants: areas, volumes
and cross products; computing determinants; Cramer’s Rule.

**Part II:** Abstract Linear Algebra: Abstract
vector spaces; subspaces; linear dependence and linear independence; basis and
dimension. Linear transformations and matrices. Eigenvectors and eigenvalues. Time
permiting, we will cover other topics as well.

__Exams and Grading Policy____:__ There will be a one-hour
Midterm and a cumulative two-hour Final exam. In addition, there will be weekly
assignments.

The
exams will be preceded by one-hour reviews. Each time review problem sets will
be given. Your grade for the class will be calculated taken into account the
following scores

- Midterm, 160 points, Thursday,
May 8, 5:45-7:00.
- Final, 200 points, Thursday,
June 12, 5:45-8:00.
- Homework, 40 points.

__Homework____:__ Assignments will be given
each week and collected on the following Thursday.

__University Policy on
Academic Integrity:__** **

That
fosters the pursuit of knowledge and the transmission of ideas within a context
that emphasizes a sense of responsibility for oneself, for others and for
society at large. Violations of academic integrity, in any forms, are therefore
detrimental to the values of
DePaul, to the students, and to the pursuit of knowledge and the
transmission of ideas. Violations of academic integrity include but are not
limited to the following categories: cheating, plagiarism, fabrication,
falsification or sabotage of research data, destruction or misuse of the
university’s academic resources, alteration or falsification of academic
records, and academic misconduct. Conduct that is punishable under the Academic
Integrity Policy will, at the discretion of the
instructor, result in the student’s receiving an F for the course and could
result in additional disciplinary actions by other university officials and
possible civil or criminal prosecution. For more details regarding Code of
Academic Integrity, please refer to the Student Handbook section on __Academic
Integrity Policy .__ (http://www.depaul.edu/~handbook/code17.html)