Syllabus for Math 104.01

Linear Algebra

Spring 1999

Week 1 Date Topic Reading Activity
W 1/13 Organization Student information forms
F 1/15 Lab orientation 1.1,
Gen Info
Lab 1: Maple Tutorial
         
     
                    
         
                    
Week 2 Date Topic Reading Activity
M 1/18 (no class -- MLK Day) 1.1,
Gen Info
Optional lab makeup
W 1/20 Systems of equations 1.1
F 1/22 Row reduction,
echelon form
1.2 Lab 2: Systems of
Linear Equations
         
     
                    
         
                    
Week 3 Date Topic Reading Activity
M 1/25 Vector equations 1.3
W 1/27 The equation Ax=b 1.4
F 1/29 Matrix operations 2.1 Lab 3: Matrix Algebra
         
     
                    
         
                    
Week 4 Date Topic Reading Activity
M 2/1 Solution sets 1.5
W 2/3 Linear independence 1.6
F 2/5 Inverse of a matrix 2.2 Lab 4: Inverses and
Elementary Matrices
         
     
                    
         
                    
Week 5 Date Topic Reading Activity
M 2/8 Invertible matrices 2.3
W 2/10 Linear transformations 1.7
F 2/12 Matrix factorization 2.5 Lab 5: LU
Decomposition
         
     
                    
         
                    
Week 6 Date Topic Reading Activity
M 2/15 Linear models 1.9
W 2/17 Determinants 3.1-3.2
F 2/19 Determinants 3.1-3.2 Lab 6: Determinants
         
     
                    
         
                    
Week 7 Date Topic Reading Activity
M 2/22 Review Chs. 1-2
W 2/24 Spaces, subspaces 4.1 Start Take-Home Test 1
F 2/26 Null, column spaces 4.2 Take-Home Test 1 due
Lab 7: Rotations
         
     
                    
         
                    
Week 8 Date Topic Reading Activity
M 3/1 Bases 4.3
W 3/3 Coordinate systems 4.4
F 3/5 Difference equations 4.8 Lab 8: Difference Equations
         
     
                    
         
                    
Week 9 Date Topic Reading Activity
M 3/8 Dimension 4.5
W 3/10 Rank 4.6
F 3/12 Markov chains 4.9 Lab 9: Markov Chains
         
     
                    
         
                    

Spring Break

Week 10 Date Topic Reading Activity
M 3/22 Eigenstuff 5.1
W 3/24 Characteristic equation 5.2
F 3/26 Diagonalization 5.3 Lab 10: Eigenvalues
and Eigenvectors
         
     
                    
         
                    
Week 11 Date Topic Reading Activity
M 3/29 Eigenvectors and
linear transformations
5.4
W 3/31 Complex eigenvalues 5.5
F 4/2 Discrete dynamical
systems
5.6 Lab 11: Leslie
Growth Models
         
     
                    
         
                    
Week 12 Date Topic Reading Activity
M 4/5 Review Chs. 4-5
W 4/7 Discrete dynamical
systems
5.6 Start Take-Home Test 2
F 4/9 Leslie models Lab 11 Take-Home Test 2 due
Lab 12: Harvesting
an Age-Distributed
Population
         
     
                    
         
                    
Week 13 Date Topic Reading Activity
M 4/12 Length, orthogonality 6.1
W 4/14 Orthogonal projections 6.2-6.3
F 4/16 Orthogonality 6.1-6.3 Lab 13: Orthogonality
         
     
                    
         
                    
Week 14 Date Topic Reading Activity
M 4/19 Least-squares problems 6.5 Start Take-Home part
of Final Exam
W 4/21 Linear models 6.6
F 4/23 Least-squares problems 6.5 Lab 14: Least Squares
         
     
                    
         
                    
Week 15 Date Topic Reading Activity
M 4/26 Summary of the semester
W 4/28 TC Evaluation Take-Home part
of Final Exam due
         
     
                    
         
                    
Week 16 Date Topic Reading Activity
F 5/7 Final Exam Chs. 1-6 In-Class part of Final
Exam
         
     
                    
         
                    


David A. Smith <das@math.duke.edu>

Last modified: December 31, 1998