Math 1522. Introductory Linear Algebra for Calculus
  Professor Johan G. F. Belinfante
  Summer 2007 Revised Syllabus

 
 Textbook:  Spence, Insel and Friedberg
            Elementary Linear Algebra: A Matrix Approach
            Prentice-Hall  (ISBN 0-137-16722-9)

 Date       Chapter.Section/Topics                          (Suggested Problems)
    
 M  May 14  1.1-1.3 linear systems; elementary operations   p.9: #8,46; p.21: #4,16
 W    16    1.4 Gaussian elimination; rank and nullity      p.34: #29,30; p.47: #4,14,31
 F    18    1.6-1.7 spans; linear independence              p.66: #6,18; p.77: #4,15,29,38

 M    21    2.1 matrix multiplication; block matrices       p.96: #26,37                                                   
 W    23    2.3 elementary matrices                         pp.123-4: #10,11,14,16
 F    25    2.4 GJR algorithm for matrix inverse            p.133: #18,26

 M    28    *** holiday        no class ***
 W    30    matrix equivalence and rank                     p.125: #41,42,43,44
 F  June 1  2.6 linear transformations                      p.158: #10,27,28

 M     4    2.7 composition of linear transformations       p.169: #18,36
 W     6    *** first examination ***       (closed books)
 F     8    3.1 determinants                                p.184: #18,26

 M    11    3.2 properties of determinants                  p.195: #33,45
 W    13    4.1 subspaces; null spaces (progress report due) p.208: #8,16
 F    15    4.2 bases and dimension                         p.218: #12,18
 
 M    18    4.3 rank and nullity as dimensions              p.226: #13,16
 W    20    4.4 coordinate transformations                  p.236: #14
 F    22    4.5 matrix of a linear transformation           p.245: #18    (Final drop date)

 M    25    5.1 eigenvalues and eigenvectors                p.257: #17,24
 W    27    5.2 characteristic polynomial                   p.267: #20,22
 F    29    5.3 diagonalization                             p.281: #22,28 
   
 M  July 2  5.4 similarity                                  p.289: #20,24
 W     4    *** holiday        no class ***  
 F     6    applications of diagonalization
   
 M     9    *** second examination *** 
 W    11    6.1 inner products                              p.320: #10,49
 F    13    6.2 orthogonal complements                      p.334: #19
 
 M    16    6.3 orthogonal projections                      p.342: #3,5
 W    18    6.3 least squares                               p.343: #20,24 
 F    20    6.4 orthogonal matrices and rotations           pp.352-3: #5,9,29
 
 M    23    6.5 quadratic forms                             p.362: #6,11
 W    25    6.5 symmetric matrices                          p.362: #14,18
 F    27    Review for final  (Last day of classes)
 
 *** Final exam: Tuesday 2007 July 31 at 8:00-10:50 a.m. in Skiles 243. ***

  Be aware that the tentative final exam information available on the Registrar web site is subject to change.


  homepage for Belinfante's Math 1522.


  Revised: 2007 June 1