University of Alberta
Math 120 (A1)
Linear Algebra I
Fall 2011
Instructor: Dr. Meymanat Farzamirad
Office: CAB 535
Phone: 780-492-3460
E-mail:
Course Webpage: http://www.math.ualberta.ca/~farzamir
Office Hours: MW 14:00-15:00 or by appointment
Lecture Time & Location: MWF 13:00-14:00 PM in TB 45
Course Prerequisites: Pure Mathematics 30
Course Objectives: The course objectives are to:
· Learn how to solve systems of linear equations,
· Understand linear transformations and their relationship to matrices,
· Learn how to manipulate matrices,
· Understand the role of important aspects of matrices such as determinants, eigenvalues and eigenvectors,
· Understand the inner product and orthogonality.
Required Textbook:
Linear Algebra and its Applications, David C. Lay, (Fourth Edition).
Grade Evaluation:
Midterm Exam / 35%Final Exam / 50%
Assignments / 15%
Total / 100%
Final grades: You are guaranteed a passing grade ( that is, D or better) if your final mark is 50% or higher, and you are guaranteed a grade of A+ if your final mark is 95% or higher.
Exam Dates:
Midterm: The midterm exam will be held on Monday, Oct 24, 2011 in class.
Final Exam: The final exam will be held on Wednesday, December14, 2011 at 2:00 pm. The location will be provided on Bear Tracks.
Deferred Eamination: The Deferred final examination will be written on Saturday,
January 14, 2012 at 9 AM in CAB 528.
Please note that the decision for allowing a deferred exam is made by student’s faculty, not by the instructor. There is NO deferred Midterm Exam. If you have a legitimate excuse (incapacitating illness, severe domestic affliction or other compelling reasons, e.g., sports team obligation) for missing the exam, the weight for the midterm exam will be transferred to the final exam. Students are required to submit requests for excused absences within 48 hours of missing the exam.
Note: The use of calculators and cell phones will NOT be permitted during exams (Regarding calculators, don’t worry, you will not be asked to do any extensive calculations on exams). Do not bring books, formula sheets, or scrap paper to the exams.
Lecture Schedule:
The topics we aim to study are listed below
Chapter 1: Linear Equations in Linear Algebra______
· Systems of Linear Equations (1.1)
· Row Reduction and Echelon Forms (1.2)
· Vector Equations (1.3)
· The Matrix Equations Ax = b (1.4)
· Solutions Sets of Linear Systems (1.5)
· Applications of Linear Systems (1.6)
· Linear Independence (1.7)
· Introduction to Linear Transformations (1.8)
· The Matrix of a Linear Transformation (1.9)
Chapter 2: Matrix Algebra______
· Matrix Operation (2.1)
· The Inverse of a Matrix (2.2)
· Characterizations of Invertible Matrices (2.3)
· Partitioned Matrices (2.4)
· Subspaces of Rn (2.8)
· Dimension and Rank (2.9)
Chapter 3: Determinants ______
· Introduction to Determinants (3.1)
· Properties of Determinants (3.2)
· Cramer’s Rule, Volume and Linear Transformations (3.3)
Chapter 5: Eigenvalues and Eigenvectors _
· Eigenvectors and Eigenvalues (5.1)
· The Characteristic Equation (5.2)
· Diagonalization (5.3)
Chapter 6: Orthogonality _
· Inner Product, Length and Orthogonality (6.1)
· Orthogonal Sets (6.2)
· The Gram-Schmidt Process (6.4)
· Lines and Planes
Assignments: There will be 11 assignments during the semester. The assignments and solutions will be posted on the course webpage at http://www.math.ualberta.ca/~farzamir. The best 10 out of 11 assignments will be counted. The assignments must be dropped off on the due date by noon, into the aignment box labeled “Meymanat Farzamirad” in one of the filing cabinets on the third floor in CAB. On the top right of your first assignment page please type the following:
Assignment #:
Math 120 (A1)
First and Last Name
Instructor:
Please note that late assignments will not be accepted.
Code of Student Behavior:
The University of Alberta is committed to the highest standards of academic integrity and honesty. Students are expected to be familiar with these standards regarding academic honesty and to uphold the policies of the University in this respect. Students are particularly urged to familiarize themselves with the provisions of the Code of Student Behavior (online at www.ualberta.ca/secretariat/appeals.htm) and void any behaviour potentially result in suspicions of cheating, plagiarism, misrepresentation of facts and/or participation in an offence. Academic dishonesty is a serious offence and can result in suspension or expulsion from the University.
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