Syllabus for Math 111.01/02

Applied Mathematical Analysis I

Fall 1998

Week 1 Date Topic Reading Activity
M 8/31 Organization Student information forms
W 9/2 Direction fields Ch.1 Worksheet: Questions about DEs
F 9/4 Lab orientation Lab: Maple Tutorial
         
     
                    
         
                    
Week 2 Date Topic Reading Activity
M 9/7 Separable DEs 2.3
W 9/9 Numerical solutions 8.1a, 8.3a,
8.4a
F 9/11 Numerical solutions Lab: Numerical Solutions
of Initial Value Problems
         
     
                    
         
                    
Week 3 Date Topic Reading Activity
M 9/14 First-order linear DEs 2.1-2.2
W 9/16 Qualitative behavior 2.4
F 9/18 First-order linear DEs Lab: World Class Sprints
         
     
                    
         
                    
Week 4 Date Topic Reading Activity
M 9/21 Second-order linear DEs 3.1-3.3
W 9/23 Numerical methods
for systems
F 9/25 Nonlinear systems Lab: Predator-Prey Interactions
         
     
                    
         
                    
Week 5 Date Topic Reading Activity
M 9/28 Fundamental solutions 3.2
W 9/30 Complex roots,
repeated roots
3.4, 3.5
F 10/2 Second-order linear DEs Lab: Second-Order Linear
Differential Equations
         
     
                    
         
                    
Week 6 Date Topic Reading Activity
M 10/5 Undetermined coefficients 3.6
W 10/7 Variation of parameters 3.7
F 10/9 Spring motion 3.8 Lab: Spring Motion
         
     
                    
         
                    

Fall Break

Week 7 Date Topic Reading Activity
W 10/14 Review Ch. 1-3 Start Take-Home Test 1
F 10/16 Nonhomogeneous
linear DEs
Take-Home Test 1 due
Lab: Forced Spring Motion
         
     
                    
         
                    
Week 8 Date Topic Reading Activity
M 10/19 Matrices 7.1-7.2
W 10/21 Systems of linear
equations
7.3a
F 10/23 Matrices 7.1-7.3a Lab: Matrix Operations
         
     
                    
         
                    
Week 9 Date Topic Reading Activity
M 10/26 Eigenvalues and
eigenvectors
7.3b
W 10/28 Eigenvalues and
eigenvectors
7.3b
F 10/30 Eigenvalues and
eigenvectors
7.3b Lab: Eigenvalues
and Eigenvectors
         
     
                    
         
                    
Week 10 Date Topic Reading Activity
M 11/2 Systems of linear DEs 7.4-7.5
W 11/4 Complex roots,
repeated roots
7.6-7.7
F 11/6 Trajectories Lab: Trajectories of
Linear Systems
         
     
                    
         
                    
Week 11 Date Topic Reading Activity
M 11/9 Review Ch. 7 Start Take-Home Test 2
W 11/11 Heat equation 10.1 Take-Home Test 2 due
F 11/13 Lab: Introduction to
the Heat Equation
         
     
                    
         
                    
Week 12 Date Topic Reading Activity
M 11/16 Fourier series 10.2
W 11/18 Fourier series 10.3-10.4
F 11/20 Fourier series Lab: Experiments with
Fourier Series
         
     
                    
         
                    
Week 13 Date Topic Reading Activity
M 11/23 Wave equation 10.6
W 11/25 D'Alembert's solution
         
     
                    
         
                    

Thanksgiving Break

Week 14 Date Topic Reading Activity
M 11/30 Laplace's equation 10.7a Start Take-Home part
of Final Exam
W 12/2 Dirichlet Problem
for a circle
10.7b
F 12/4 PDEs Lab: The Heat Equation or
The Wave Equation (TBA)
         
     
                    
         
                    
Week 15 Date Topic Reading Activity
M 12/7 Summary of the semester
W 12/9 TC Evaluation Take-Home part
of Final Exam due
         
     
                    
         
                    
Week 16 Date Topic Reading Activity
W 12/16 Final Exam, 7-10 pm In-Class part of Final
Exam
         
     
                    
         
                    


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

Last modified: September 12, 1998