Concordia University

MAST 235

Linear Algebra and Applications II

Winter 2015

Instructor: Dr. A. Atoyan, Office: LB 1041.24 (SGW)

E-mail: atoyan@mathstat.concordia.ca

Office hours: __Wednesday 12:00-13:30, Thursday 13:30-14:30

Textbook: Linear Algebra, Theory and Applications, by Ward Cheney & David Kincaid.

2nd edition. Publisher: Jones & Bartlett.

Prerequisites: Math 234 or equivalent is a prerequisite for this course.

The objective This course will focus on applications of the theory studied in Math 234 and its further development. There are two major concepts involved, (a) Linear Systems/Operators, such as Economic Models and Dynamical systems, where the Eigentheory is applied, and (b) the theory of Inner Product Spaces, leading to applications like Orthogonalization and Least Square solutions, on which this course is based. The general objective of the course is to master your understanding and skills in these key concepts of Linear Algebra that will be critical for further Algebra courses in your curriculum.

Pedagogy: Classes take place in a computer lab equipped with Maple. The structure of the classes includes lecture time on the theory and examples alternating with problem solving tasks done by students individually. Mathematical issues that arise during problem solving are discussed in class.

Software: Maple (14 or higher). The Waterloo Maplesoft is making Maple (“Student’s edition", quite sufficient for the course) available to Concordia students at a special price. In this course the software is only used as a computational tool, not as an object of study in itself. All the tests, the final examination and the assignments are done using Maple.

Assignments Assignment are given and submitted online through Moodle. Late assignments will not be accepted. Assignments contribute 10% to your final grade (see the Grading Scheme). Working regularly on the assignments, as well as class attendance and working on the problems in the class, is essential for success in this course.

Midterm Test: There will be one midterm test (based on the material of weeks 1-6) which will contribute up to 25% to your final grade (see the Grading Scheme). It will be held in week 8, after the midterm break, on Wednesday March 4, 2015.

NOTE: It is the Department's policy that tests missed for any reason, including illness, cannot be made up. If you missed the midterm because of illness (to be confirmed by a valid medical note) the final exam can count for 85% of your final grade, and 15% will be contributed by the assignments and quizzes (see the Grading Scheme).

Final Exam: The Final Examination will be 3 hours long (closed-book exam, no notes are allowed) written using Maple. Students are responsible for finding out the date and time of the final exam once the schedule is posted by the Examinations Office. Conflicts or problems with the schedule of the final exam must be reported directly to the Examinations Office, not to the Instructor. Students are to be available until the end of the final exam period. Conflicts due to travel plans will not be accommodated. NOTE: There are no supplemental exams for this course.

Grading Scheme: The final grade will be based on the higher of (a) and (b) below:

(a) 10% for the assignments. 5% for the best of 2 quizzes (written in class) 25% for the class test 60% for the final examination.

(b) 10% for the assignments 5% for the best of 2 quizzes 10% for the class test 75% for the final examination.

IMPORTANT: NOTE that there is NO "100% FINAL EXAM" option in this course. The term work contributes at least 25% to the final grade. Therefore active participation in classes and continuous work on the course material during the semester is essential for success in this course.

Disclaimer: The instructor reserves the right to make changes to the course outline and course content