Math 252: Syllabus and General Information,  Spring 2008

  

 #  Date Sections Subjects Assignments
1   N1 Modeling all (answers)
2   1.1 Modeling (continued) 3, 5, 15, 17, 19, 21.
1.2 Separation of Variables 1, 3, 7, 13
3   1.2 Separation of Variables (continued) 25, 29, 31, 35.
4   1.3 Slope Fields;  Quiz 1 all odd 1-13, 14, 15, 17.
5   1.4 Euler's Method 1, 13, 15.
1.5 Existence and Uniqueness 1, 3, 5, 7, 10.
1.6 Equilibria and Phase Line 1, 3, 5, 7, 13, 15, 23, 25, 27, 31, 33, 37, 39, 43.
6   N2 Bifurcations (No exercises in N2)
1.7 1, 3, 5, 9, 11, 17.
7   1.8 Linear Differential Equations all odd 1-13, 21, 23.
1.9 Integrating Factors all odd 1-11, 21, 23.
8   2.1 Modeling via Systems 1, 2, 7, 8, 9, 17, 19, 21, 23, 25, 26, 27, 29.
9   2.2 Geometry of Systems all odd 1-27.
10   2.3 Analytic Methods all odd 1-11, 19.
2.4 Euler's Method 1, 3, 5, 14, 15.
11   N3 Phase Plane; Review for the exam all (answers)
12   Exam 1
13   3.1 Review of  the exam Linear Systems all odd 1-9, 13, 17, 19, 21, 27, 29, 33, 35.
N4 Matrix Exponentials  
14   N4 Matrix Exponentials (continued) all (answers)
15   3.2 Straight-Line Solutions all odd 1-19
16   3.3 Phase Plane: Real Eigenvalues all odd 1-15.
17   3.4 Phase plane: Complex Eigenvalues all odd 1-15, 19, 21, 23.
18   3.5 Repeated and Zero Eigenvalues all odd 1-17.
19   3.7 The Trace-Determinant Plane
(emphasizing one-parameter families); Quiz  2
parts "c" of: 3, 7, 11, 13.
20   3.6 Second-Order Linear Equations all odd 13-29; 36(a, b).
21   3.8 Linear Systems in Three Dimensions 4, 5, 6, 7.
22   4.1 Forced Harmonic Oscillators all odd 1-41.
4.2 Sinusoidal Forcing; Review for the exam odd 1-13, 17, 27.
23   Exam 2
24   4.4 Review of  the exam; Steady State Special exercises.
25   4.3 Resonance all odd 1-17, 21
26   5.1 Equilibria, Linearization all odd 1-17, except 5.
27   8.1 Discrete Systems; Quiz 3 all odd 1-9, 15, 19, 23, 27, 31.
28                                             Review for the final exam

 For numerical assignments, there is a package available in the CD ROM that comes with the book. A strongly suggested alternative is the Java Applet, JOde,
which runs on any Java-enabled browser, including those at the University computer labs.