SYLLABUS

Topics in Linear Algebra (Math 4305)
Summer 2013, Georgia Tech

Lecture
Tu Th 10-11:45 Skiles 202

Instructors

Professor Mohammad Ghomi
  • Office: Skiles 203
  • Email: ghomi@math.gatech.edu
  • Office hours: Tu Th 2-3pm

    • Teaching Assistant (Grader)

    TBA

    Course Description

    This class is an introduction to the theory of vector space and linear transformations, together with their applications in science, engineering, and economics. Specific topics covered include determinants, inner products, rank & nullity, least squares, eigenvalues, and symmetric matrices.

    Prerequisites

    Some previous exposure to liner algebra: Math 1502, Math 1512, or Math 1522

    Textbooks

    Linear Algebra with Applications, Otto Bretcher (Fifth Edition), Pearson 2013.

    Lecture and Reading Schedule

    We will study the first 8 chapters of the text, or portions thereof, according to the following (tentative) schedule:

    Topic Chapters Weeks
    Linear Equations1 1
    Linear Transformations2 2
    Subspace of R^n and Their Dimensions 3 1
    Linear Spaces 4 1
    Orthogonality and Least Squares 5 2
    Determinants61
    Eigenvalues and Eigenvectors72
    Symmetric Matrices81

    Homework

    There will be homework assignments due every Tuesday.

    Assignments

    # Due Date Problems
    1 May 21 1.1) 12, 18, 21, 22, 29, 40;
    1.2) 6, 18, 20, 24, 31, 44, 54;
    1.3) 4, 14, 18, 24, 26, 34, 48.
    2 May 28 2.1) 4, 32, 34, 37, 39, 50, 54;
    2.2) 8, 10, 13, 20, 22, 24;
    2.3) 4, 29, 34, 44, 50, 70, 73.
    3 Jun 4 2.4) 4, 35, 36, 40, 78, 82, 84, 86, 90, 91, 92;
    3.1) 6, 14, 18, 24, 32, 34, 35, 44, 49.
    4 Jun 11 3.2) 4, 7, 14, 24, 30, 34, 50, 52, 53, 54;
    3.3) 8, 22, 28, 36, 44, 46, 56, 58, 60, 62.
    5 Jun 18 3.4) 6, 26, 38, 50, 51, 56, 71, 72;
    4.1) 6, 8, 28, 46, 50, 58, 60;
    4.2) 4, 6, 22, 52, 54.
    6 Jun 25 4.2) 64, 70, 71, 72, 81;
    4.3) 2, 6, 20, 29, 42, 59, 62, 66, 68.
    7 Jul 2 5.1) 4, 10, 12, 14, 16, 22, 26, 33, 36;
    5.2) 2, 4, 32, 34;
    5.3) 10, 18, 24, 27, 28, 29, 30, 33.
    8 Jul 9 5.4) 2, 4, 10, 16, 20, 24, 30, 32;
    5.5) 9, 10, 19, 22, 24, 26, 28, 30, 32.
    9 Jul 16 6.1) 6, 44, 46;
    6.2) 2, 38, 40, 55, 56;
    6.3) 2, 4, 14, 18, 21, 48;
    7.1) 2, 10, 16, 35, 56, 68.
    10 Jul 23 7.2) 9, 16, 21, 22, 23, 29, 30, 31;
    7.3) 6, 27, 34;
    7.4) 8, 14, 26, 33, 38, 55, 56, 69.
    11 none 8.1) 3, 5, 9, 15, 23, 31, 34, 35, 41;
    8.2) 1, 5, 13, 14, 19, 30, 32, 34.

    Attendance Policy

    Students are required to attend all lectures.

    Grading

    The grade is based on homework (15%); one midterms (35%) on Thursday Jun 20; and a final exam (50%) on Tuesday, Jul 30, 2:50-5:40pm.

    How to Succeed in this class

    Attend all lectures, and complete all homework assignments.