Two different textbooks have been adopted for this course. Ask in the bookstore or ask your instructor to determine which text has been ordered for your class.

Handout for Edwards and Penney text

Handout for Guterman and Nitecki text

Text: Differential Equations and Boundary Value Problems, by C.H. Edwards, Jr.

and David E. Penney (Prentice Hall)

Optional: Student Solutions Manual

Students who take Differential Equations must have completed Calculus II at Austin Community College or have completed an equivalent course elsewhere. Some experience with partial derivatives is recommended.

Calendar: (sections with a * are optional, but encouraged)

	16-Week Semester	11-Week Semester
Week
1	1.1 ,1.2 ,1.3	1.1, 1.2, 1.3, 1.4
2	1.4, 1.5	1.5, 1.6, 2.1
3	1.6, 2.1	2.3, 2.3, 2.4, 2.5
4	2.2, 2.3	2.6, 3.1, 3.2
5	2.4, 2.5, 2.6	3.3, 3.4, 3.5
6	3.1, 3.2	3.6*,3.7*3.8*, 4.1, 4.2
7	3.3, 3.4	4.3*, 5.1, 5.2, 5.3*
8	3.5,3.6*,3.7* 3.8*	5.4, 6.1, 6.2
9	4.1, 4.2	6.3, 7.1, 7.2, 7.3
10	4.3*, 5.1	7.5*, 8.1, 8.2
11	5.2, 5.3*, 5.4	Review and Final Test
12	6.1, 6.2
13	6.3, 7.1
14	7.2, 7.3, 7.5*
15	8.1, 8.2
16	Review and Final Test

Class attendance and extensive, regular homework practice are critical to success in this course. Students need to have 8-10 hours available weekly for study outside of class in order to succeed in this course.

Students who miss more than 4 classes may be withdrawn. After the withdrawal date each semester, neither the student nor the instructor may initiate a withdrawal. It is the student's responsibility to initiate all withdrawals in this course. The instructor may withdraw students for excessive absences (4) or failure to meet course objectives but makes no commitment to do this for the student.

Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of I a student must have taken all examinations, be passing, and have a personal tragedy occur after the last date to withdraw which prevents course completion.

Text: Differential Equations, a First Course by Guterman and Nitecki

Objectives:

1. To introduce the student to first order differential equations, applications, and the basic solution methods: separation of variables, exact, linear, graphical, and others.

2. To introduce second order differential equations, both homogeneous and nonhomogeneous, with some applications and solution methods such as undetermined coefficients and variation of parameters.

3. To introduce systems of linear differential equations, applications, and methods of solutions. Eigenvalues and eigenvectors will also be introduced, as used in solving systems. Graphing and nonlinear systems will also be explored.

4. To introduce the use of the Laplace transform and series methods of solutions. Other topics will be explored as time permits.

Prerequisite: Calculus II (MTH 1864) or the equivalent.

Syllabus: Chapter 1, sections 1-9; Chapter 7, sections 2, 4, 5, (1 opt); Chapter 2, sections 1-11; Chapter 6, sections 3, 5, (1, 4, 6 opt.); Chapter 3, sections 1-11; Chapter 4, sections 1-3; Chapter 5, sections 1-8; Chapter 8, sections 1-4.

Week	16-Week Semester	11-Week Semester
1	Ch.1	Ch. 1
2	Ch. 1	Chs. 1 & 7
3	Chs. 1 & 7	Chs. 7 & 2
4	Chs. 7 & 2	Ch. 2
5	Ch. 2	Chs. 2 & 6
6	Ch. 2	Ch. 3
7	Chs. 2 & 6	Ch. 3
8	Ch. 6	Chs. 3 & 4
9	Ch. 3	Ch. 5
10	Ch. 3	Chs. 5 & 8
11	Chs. 3 & 4	Ch. 8 and Final Test
12	Ch. 4
13	Ch. 5
14	Ch. 5
15	Ch. 8
16	Review and Final Test

Class attendance and extensive, regular homework practice are critical to success in this course. Students need to have 8-10 hours available weekly for study outside of class in order to succeed in this course. Your instructor will provide details on attendance, homework and tests for your class.

Students who miss more than 4 classes may be withdrawn. After the withdrawal date each semester, neither the student nor the instructor may initiate a withdrawal. It is the student's responsibility to initiate all withdrawals in this course. The instructor may withdraw students for excessive absences (4) or failure to meet course objectives but makes no commitment to do this for the student.

Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of I, a student must have taken all examinations, be passing, and have a personal tragedy occur after the last date to withdraw which prevents course completion.