MAT 305, Spring 2002

Topics and Assignments

 
 
 
 
 
 
 
 
           Week                                                                  Topics                         Assignments
Jan 23 - 25
Introduction and Review:  Chapter 1, Sections 2.1, 2.2
  Problems with a  (*) are  not
 compulsary !
Jan 28 - Feb 1
First Order Differential Equations
Methods of Solving Differential Equations: 2.6
Existence of Solutions: 2.8
  Chapter 1.3: 8,14
 Chapter 2.1: 14,18, 19, 29
 Chapter 2.2: 3,4,5, 29
 Chapter 2.6: 2,5,11,21,22
 due Feb 7
Feb 4 - 8
 
Second Order Differential Equations
Homogeneous Equations
Fundamental Solutions: 3.1,3.2
Linear Spaces of Solutions: 3.3
  Chapter 3.1: 3,10,20,21,30,34
 Chapter 3.2: 4,5,17,20,21,27,28
 Chapter 3.3: 2,4,12,17,18,19,21,
                          23,24,25
 due Feb 14
Feb 11 - 15
 
Linear Spaces of Solutions: 3.4,3.5
Nonhomogeneous Equations
Method of Undetermined Coefficients: 3.6
Variation of Parameters: 3.7
  Chapter 3.4: 7,15,17,22,33*
 Chapter 3.5: 3,11,16,24,27,38,41
 Chapter 3.6: 3,7,15,30
 due Feb 21
Feb 18 - 22
MIDTERM 1!!
Review and Catch-Up
  Chapter 3.4: 34*,35,36,38*,39,40
 Chapter 3.6: 32*,34,35
 Chapter 3.7: 2,7,12,15,18,28*,31
 due Feb 28
Feb 25 - Mar 1
 
Vibrations: 3.8,3.9
Power Series
Series Solutions near Ordinary Points: 5.1,5.2
  Chapter 3.8: 6,13,19*,21*,30,31*
 Chapter 3.9: 3,5,10,15
 Chapter 5.1: 2,8,13,20,24
 Chapter 5.2: 4,8,21
 due Mar 7
Mar 4 - 8
 
Series Solutions near Ordinary Points: 5.3
Series Solutions near Regular Singular Points: 5.4,5.5,5.6
  Chapter 5.3: 3,5,6,10*,12
 Chapter 5.4:5,17,19
 Chapter 5.5: 3,10,17,30*
 due Mar 14
Mar 11 - 15
 
Series Solutions near Regular Singular Points: 5.6,5.7
  Chapter 5.6: 1,9,10,14*
 Chapter 5.7: 2,3,7,15,19*
 due Mar 21
Mar 18 - 22
 
Nonlinear Differential Equations
Stability: 9.1
  Chapter 9.1: 1,2,4,5,6 
 (instead of (c),(d) solve them, then
 sketch some trajectories!!),13,15
 due Apr 11
Apr 1 - 5
 
MIDTERM 2!!
Review and Catch-Up
  no assignment this week
Apr 8 - 12
 
Stability: 9.2
Almost Linear Systems:  9.3
  Chapter 9.2: 2,3,15,16,21
 Chapter 9.3: 1,3,5,8,24
 due Apr 18
Apr 15 - 19
 
Competing Species: 9.4
Predator-Prey Equations: 9.5
  Chapter 9.4: 1,3 (a, b, c without
 eigenvectors, e,f: Use nullclines
 for a,e!!), 13*
 Chapter 9.5: 1,5 (see above!),
 12*,13
 due Apr 25
Apr 22 - 26
 
Liapunov's Second Method: 9.6
  Chapter 9.6: 2,3,4,6
 Chapter 9.7: 2,3,5,11 (the material
 will be covered on Monday, Apr 29)
 due May 1
Apr 29 - May 3
 
Limit Cycles: 9.7
Review
   no assignment
May 6 - May 7
 
Review
    Sample Test (PDF) ,  (PostScript) , 
   Sample Test Solutions!! (PDF) ,  (PostScript) 

Klaus Mohnke
Tue Apr 23   02:45 PM EST 2002