Linear Algebra - Math 544,   Section 001.


Fall 2007


University of South Carolina


      Instructor  
      Matthew Boylan  
  Office     LeConte 400G  
  Phone     777-8874  
  E-mail     boylan@math.sc.edu  
  Office hours     Mon., 2:30 - 3:30  
  Tues., 9 - 10  
  Thurs., 10 - 11  
  and by appointment  

  • University of South Carolina Mathematics Department .

  • Course information :

  • Text : Introduction to Linear Algebra, by Johnson, Riess, and Arnold, 5th ed., Addison Wesley, 2002.

  • Meeting schedule :

          Section 001  
      Lecture     MWF     1:25 - 2:15     LeConte 405  

  • Exam schedule :

      Exam 1:     Monday     September 24     1:25 - 2:15     LeConte 405  
      Exam 2:     Friday     October 26     1:25 - 2:15     LeConte 405  
      Exam 3:     Wednesday     November 28     1:25 - 2:15     LeConte 405  
      Final Exam:     Friday     December 14     2:00 - 5:00     LeConte 405  

  • Previous Exams.

  • Homework :

    Homework will be assigned each lecture but not collected. Instead, a weekly quiz will be given based on the homework.

  • Grading :

          Points/650     % of grade  
      Three hour exams:     100 pts. x 3     15% x 3  
      Final exam:     200 pts.     30%  
      Quizzes:     150 pts.     25%  
      Total:     650 pts.     100%  

  • Make-up policy :

    Missed quizzes and exams will not be made up.

  • Calculators :

    Calculators may be used to do homework, but not to do quizzes or exams.

  • Syllabus : (pdf)   (ps)

  • Other help resources : Private tutors , On-line materials for courses   (past 544 homepages),

    Math library   (linear algebra textbooks on reserve).


  • Lectures and Homework :

    Lectures Homework
      Dates     Sections     Topics     Problems     Quiz date  
      August     24     F     1.1     Introduction to matrices and systems of linear equations.     2, 3, 4, 5, 9, 11, 12, 13, 14, 21, 23, 29, 31, 33, 35, 38, 42.     Fri., 8/31  
      27     M     1.1             Fri., 8/31  
      29     W     1.2     Echelon form and Gauss-Jordan elimination.     5, 6, 7, 8, 9, 13, 15, 17, 18, 19, 25, 27, 29, 31, 33, 37, 39, 40, 49, 54.     Mon., 9/10  
      31     F     1.2             Mon., 9/10  
      September     5     W     1.3     Consistent systems of linear equations.     1, 3, 5-23     Mon., 9/10  
      7     F     1.5     Matrix operations.     1d, 5, 9c, 11a, 19, 23, 27, 31, 41, 45, 47, 53, 55, 60, 61ab.     Mon, 9/17  
      10     M     1.5             Mon., 9/17  
      12     W     1.6     Algebraic properties of matrix operations.     1, 3, 9, 13, 15, 17, 25, 26, 27, 30, 41, 43, 46, 47, 49.     Mon., 9/17  
      14     F     1.7     Linear independence and nonsingular matrices.     1, 3, 5, 9, 13, 23, 25, 27, 29, 31, 47, 49, 50, 51, 52, 53, 55, 57.      
      17     M     1.7     Guide to exam I.          
      19     W     1.9     Matrix inverses and their properties.     3, 7, 11, 15, 17, 19, 23, 27, 29, 37, 41, 48, 51, 58, 67, 68, 70, 72, 74.      
      21     F     1.9              
      24     M     Optional Review: Weds., 9/19 at 6 pm in LC 405     Exam 1     Covers: Information and homework from Sections 1.1, 1.2, 1.3, 1.5, 1.6, 1.7, 1.9; Class notes: 8/24 - 9/21, Quizzes: 1 -3.      
      26     W     3.2     Vector space properties of R^n.     1, 3, 5, 7, 9, 11, 13, 15, 17, 18, 19, 21, 23, 25, 30, 31, 32.     Mon., 10/8  
      28     F     3.2             Mon., 10/8  
      October     1     M     3.3     Examples of subspaces.     1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 27, 29, 31, 35, 37, 43, 45, 47, 49, 50, 52, 53.     Mon., 10/8  
      3     W     3.3             Mon., 10/8  
      5     F     3.4     Bases for subspaces.     3, 5, 7, 11, 13, 15, 17, 19, 23, 25, 27, 30, 31, 33, 35, 36.     Mon., 10/15  
      8     M     3.4             Mon., 10/15  
      10     W     3.5     Dimension.     1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 31, 32, 33, 34, 36, 37, 40, 42.     Mon., 10/22  
      15     M     3.5             Mon., 10/22  
      17     W     3.6     Orthogonal bases for subspaces.     1, 3, 5, 7, 9, 11, 13, 15, 21, 22, 23, 24, 25, 26, 28.     Mon., 10/22  
      19     F     3.6     Guide to exam II.          
      22     M     3.7     Linear transformations.     1, 3, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 35, 36, 39, 40, 44.      
      24     W     3.7              
      26     F     Optional Review: Mon., 10/22 at 6:00pm in LC 405     Exam 2     Covers: Information and homework from Sections 3.2 - 3.7; Class notes: 9/26 - 10/24; Quizzes: 4 - 6.      
      29     M     4.1     The eigenvalue problem for 2x2 matrices.     1, 3, 5, 7, 11, 17, 18, 19.     Mon., 11/5  
      31     W     4.2     Determinants and the eigenvalue problem.     1, 3, 5, 11, 13, 15, 17, 19, 21, 23, 25, 26, 27, 28, 29, 30, 31, 33.     Mon., 11/5  
      November     2     F     4.2             Mon., 11/5  
      5     M     4.3     Elementary operations and determinants.     1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 24, 25, 27, 28.     Mon., 11/12  
      7     W     4.4     Eigenvalues and the characteristic polynomial.     1, 3, 5, 7, 9, 11, 13, 16, 22, 24, 25, 27, 30.     Mon., 11/12  
      9     F     4.5     Eigenspaces and eigenvectors.     1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 22, 23, 24, 25, 26, 28.     Mon., 11/19  
      12     M     4.7     Similarity transformations and diagonalization.     1, 3, 5, 7, 9, 11, 13, 17, 25, 26, 27, 28, 30, 42, 43.     Mon., 11/19  
      14     W     4.7     Guide to exam III.         Mon., 11/19  
      16     F     4.7             Mon., 11/26  
      19     M     5.2     Vector spaces (revisited).     1, 2, 3, 5, 17, 18, 19, 32, 36.      
      26     M     5.3     Subspaces (revisited).     1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 26, 27, 28, 29, 30, 33.      
      28     W     Optional Review: Mon., 11/26 at 6:15 pm in LC 405     Exam 3     Covers: Information and homework from Sections 4.1 - 4.5, 4.7; Class Notes: 10/29 - 11/19; Quizzes: 7 - 10.      
      30     F     5.3     Guide to the final exam.          
      December     3     M     5.4     Linear independence, bases, and coordinates.     1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 25, 27, 28.      
      5     W     5.5     Dimension (revisited).     1, 2, 3, 7, 9, 11, 13, 15      
      7     F     5.7-5.10     Summary of remaining sections in chapter 5.          
      14     F     Optional Review: Wed., 12/12 at 6pm in LC 405     Final Exam, 2 - 5 pm     Cumulative      


    Previous exams :

    PDF files   Fall 2007     Spring 2007     Spring 2006  
      Exam 1   exam exam exam
      Exam 2   exam exam exam
      Exam 3   exam exam exam
      Final Exam   exam exam exam
    Textbook Used Johnson, Reiss,
    and Arnold
    5th ed.
    Johnson, Reiss,
    and Arnold
    5th ed.
    Johnson, Reiss,
    and Arnold
    5th ed.
    Beware The topics covered on a specific exam may change from semester to semester.