Math 225 - R1, Linear Algebra II Winter Term 2010

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  • Homework Assignments (not to be handed in)
  • Online Lecture Notes
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  • How to Write Proofs
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    SECTION: LEC R1 (Tuesday & Thursday, 09:30-10:50, CEB 331)

    INSTRUCTOR: John Bowman, (phone) 780-492-0532
    Home page:
    Office Hours:

         T     1330-1430 CAB 521
          W    1000-1050 CAB 521
           R   1230-1330 CAB 521

    Textbook: Contemporary Linear Algebra (with student solution manual) by H. Anton and R.C. Busby.

    Supplemental online reference (optional): Linear Algebra (by Jim Hefferon).

    Course Description: Vector spaces. Inner product spaces. Examples of n-space and the space of continuous functions. Gram-Schmidt process, QR factorization of a matrix and least squares. Linear transformations, change of basis, similarity and diagonalization. Orthogonal diagonalization, quadratic forms. Applications in a variety of fields, numerical methods. Prerequisite:Any linear algebra course, Mathematics 31 or any calculus course. Note: This course cannot be taken for credit if credit has already been obtained in MATH 227.

    Purpose: This course is a continuation of Math 120/125. It is intended to complete one's training in linear algebra.

    Material to be covered:
    The following is considered covered in Math 120/125
    Chapter 1 - Sections 1.1 to 1.3
    Chapter 2 - Sections 2.1 to 2.3
    Chapter 3 - Sections 3.1 to 3.6
    Chapter 4 - Sections 4.1 to 4.4
    Chapter 6 - Sections 6.1 to 6.4
    Chapter 7 - Sections 7.1 to 7.5

    We will start with a review of some of these topics (first one or two weeks), followed by the rest of the textbook. We will only discuss Chapter 5 - Matrix Models if time permits.

    Lecture Schedule and Assigned Reading: See the homework assignment page (link above)

    Assignments: There are 10 homework assignments. They come with solutions and not to be handed in. You are to do them on your own and compare with the solutions.

    Weights: Midterm exam I - 30%, Midterm exam II - 30%, Final Exam - 40%. The course will be curved using the University recommended distribution of grades for second-year students, with the exception that a total of 50% or more is a guaranteed pass (that is, at least a D).

    Exam Dates: (Closed book, no calculators, no formula sheet)
    Midterm I - In class, Tuesday, February 9.
    Midterm II - CEB 331 (A-L) and DP 5074 (M-Z), Tuesday, March 9.
    Final Exam - Monday April 19, 09:00 - 12:00, Place: ETLE1-003
    Deferred Final Exam - Saturday May 8, 2010, 09:00 - 11:00, Place: TBA. Requires approval of your faculty office.

    Note: There are no deferred Midterm Exams. If you have a legitimate reason to miss one of your Midterms (e.g. illness), then weight of the Midterm will be transferred to the Final Exam, i.e. the weight of Final will be 70%.

    Friday, March 12 is the last possible day for withdrawal.


    Help Sessions: In ED 751, Monday to Thursday (09:00 - 15:00), Friday (09:00 - 13:00).

    NOTE 1: Students who require accomodations in this course due to a disability affecting mobility, vision, hearing, or mental or physical health are advised to discuss their needs with Specialized Support and Disability Servcies, CAB 215, (phone) 780-492-3381 or (TTY) 780-492-7269.

    NOTE 2: Policy about course outlines can be found in Section 23.4(2) of the University Calendar.

    NOTE 3: 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 (See Calendar Section 23.4(2)c and online at and avoid any behaviour which could potentially result in suspicions of cheating, plagiarism, misrepresentation of facts and/or participation in an offense. Academic dishonesty is a serious offense and can result in suspension or expulsion from the University.

    NOTE 4: Students who require additional help in developing strategies for better time management, study skills or examination skills should contact the Academic Support Centre (2-703 Students. Union Building). Additional tutorial services are available through the Math & Applied Sciences Centre ( ) .