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.

### Your exam score divided by 3.6, and the total score divided by 4 will be two numbers between 0 and 100. They will respectively determine your exam grade and your homework adjusted grade as follows: A(87.5-100), B(75-87.5), C(62.5-75), D(50-62.5), F(0-50). Your grade for the class is the larger of these two grades.

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

University Policy on Academic Integrity: DePaul University is a learning community

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)