Mathematics 104.01, Fall 1997
Syllabus

Day     Topic                                           Reading                          




9/3 Organization, systems of linear equations Section 1.1 9/5 Lab: Maple tutorial Section 1.2 9/8 Row reduction and echelon forms Section 1.3 9/10 Vector and matrix equations Section 1.4 9/12 Lab: Systems of Linear Equations Section 1.5 9/15 Linear independence Section 1.6 9/17 Linear transformations Section 1.7 9/19 Lab: Matrix Arithmetic Section 1.8 9/22 Linear models Section 1.9 9/24 Matrix operations Section 2.1 9/26 Lab: Invertible Matrices Section 2.2 9/29 More on invertible matrices Section 2.3 10/1 Matrix Factorizations Section 2.5 10/2 Lab: Determinants Section 3.1 10/6 Review handout 10/8 Test #1 10/10 Determinants Section 3.2
10/13   Fall Break
10/15   Vector spaces and subspaces                     Section 4.1                                         handout
10/17   Lab: Rotations                                  Section 4.2
10/20   Bases, linear transformations                   Sections 4.3, 4.4
10/22   Dimension                                       Section 4.5
10/24   Lab: Markov Chains                              Section 4.6
10/27   Markov chains                                   Section 4.9
10/29   Eigenvectors and eigenvalues                    Section 5.1
10/31   Eigenvalues and Eigenvectors                    Section 5.2
11/3    Diagonalization                                 Section 5.3
11/5    Eigenvectors and linear transformations         Section 5.4
11/7    Lab: Leslie Models                              Section 5.5
11/10   Discrete dynamical systems                      Section 5.6
11/12   Application to differential equations           Section 5.7
11/14   Review          
11/17   Test #2
11/19   Inner products                                  Section 6.1
11/21   Lab: Orthogonality                              Section 6.2
11/24   Orthogonal projections                          Section 6.3
11/26   Gramm Schmidt process                           Section 6.4
11/28   Thanksgiving Break
12/1    Applications to linear models                   Section 6.6
12/3    Open
12/5    Lab: Least Squares and Pseudo-Inverses
12/8    Review
12/10   Evaluation


Lawrence C. Moore < lang@math.duke.edu>

Last modified: August 20, 1997