Math 252: Syllabus and General Information, Spring 2008

Lecturer: Dr. Vladimir Shtelen
Office & Office Hours: Hill Center 513, Mondays 3 - 4pm
e-mail address: shtelen@math.rutgers.edu
web site: http://www.math.rutgers.edu/~shtelen
Departmental web page for Math 252
Textbook: Differential Equations, by P.Blanchard, R.Devaney, and G.Hall, 3rd Edition, 2006
Grading: Final exam - 40%, Midterm exams - 40%, Quizzes - 15%, Homework - 5%

#	Sections	Subjects	Assignments
1	N1	Modeling	all (answers)
2	1.1	Modeling (continued)	3, 5, 15, 17, 19, 21.
2	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)
6	1.7	Bifurcations	1, 3, 5, 9, 11, 17.
7	1.8	Linear Differential Equations	all odd 1-13, 21, 23.
7	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.
10	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.
13	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.
22	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.