Math 307-10      Differential Equations and Modeling
Instructor	Office	Phone	Hours
Jimmie Lee Johnson	Auditorium Campus, Room 416 Robin Campus, Room 153	(312) 341-3552 Voice Mail (847) 619-7939 Shared Line	DT: Tu 5:00-6:00pm
E-mail:  jjohnson@roosevelt.edu Web Page:  http://faculty.roosevelt.edu/jjohnson/Fall2006/M307F06.htm

Text: Differential Equations , by Blanchard, Devaney, and Hall, Thomson Brooks/Cole, 3rd ed. 2006.

Prerequisite: Grades of C or better in MATH 232, Calculus II.

Class:  Usually there will be a quiz or oral work to do in class. You are responsible for all assigned reading even if it is not discussed when we do meet. 

Quizzes will be given to provide an emphasis on what sorts of questions you may encounter on the exams. Makeup quizzes are not given. The quiz average, after ignoring 2 lowest quiz scores, will count for 10% of your grade.

Homework will be collected, graded and returned; please leave the assignment in my mail slot downtown or out at Robin or bring it by my office. Homework will count for 10% of your grade. Late homework will be accepted, but at a reduced value as the lateness increases. Some of the homework will require the use of technology such as graphing calculators, Maple, and the software bundled with the text.

Projects will be due in a timely fashion. The project reports will graded upon clarity of expression, spelling, and content. The average of the projects will count for 15% of your grade. Late projects will be downgraded. The use of Maple is recommended for some of the projects and homework.

Exams will be given on October 17th and November 14th. They will be open book, and may require the use of technology, and their average will each count for 30% of your grade. 

Final Examination: It will be given on December 19th, comprehensive and open book with a portion requiring the use of technology; it will count for 35% of your grade.

Grades: Regulations covering grades (especially I and W) are on pages 254-255 of the 2006-2008 Undergraduate Catalog or on pages 203-204 of the 2005-2007 Graduate Catalog. Incompletes will not be given, except to a student who has done passing work up to the Final Examination (including most of the homework) but misses the final exam because of an excused absence with advance notice. The last day to drop a class (with a grade of "W") is Friday, November 17th, and the drop form must be submitted to the Registrar's Office. Anyone registered after that must be graded solely on academic performance.

Syllabus
( The main objective is to learn to use differential equations in a modeling situation
and to deduce the behavior of any solutions. )

Date	Sections	Topics
Sept. 12	1.1, 1.2	Modeling, Separation of Variables.
Sept. 19	1.3, 1.4	Slope Fields, Euler's Method.
Sept. 26	1.5, 1.6	Existence and Uniqueness, Phase Lines.
Oct.  3	1.7, 1.8	Bifurcations, Linear Equations.
Oct.  10	1.9	Project #1 Due, Integrating Factors.
October 17	Exam #1	Chapter 1.
Oct. 24	2.1, 2.2	Modeling via Systems, Geometry of Systems
Oct. 31	2.3, 2.4	Analytic Methods, Euler's Method
Nov.  7	3.1, 3.2	Project #2 Due, Linear Systems, Straight Line Solutions.
November 14	Exam #2	Chapter 2.
Nov. 21	3.3, 3.4	Phase Planes, Complex Eigenvalues.
Nov. 28	3.5, 3.6	Repeated and Zero Eigenvalues, 2nd Order Linear Eqs.
Dec. 5	6.1, 6.2	Laplace Transform, Discontinuous Functions.
Dec. 12	Review	Project #3 Due, Review.
December 19	Final Exam	Comprehensive.

This page is at http://faculty.roosevelt.edu/jjohnson/Fall2006/M307F06.htm and was last revised December 8, 2006