MAT 262 Generic Course Syllabus

MAT 262 GENERIC COURSE SYLLABUS

Effective Date: Fall 2000

Instructor:

Campus:

Room:

Office Hours:

Phone:

Course Prefix

Course Number

Course Name

Credit

Lecture

Lab

MAT

262

Ordinary Differential Equations

II.

Prerequisites:

MAT 252 with a grade of C or better.

III.

Course Description:

Course presents the solution of ordinary differential equations. Content includes applications, power series, Laplace transformations; systems of linear differential equations, and numerical methods. Calculators/computers used when appropriate.

IV.

Course Objectives:

A. Solve first order differential equations by methods such as separable equations, exact equations, homogeneous equations, linear equations, and direct fields.

B. Understand the existence and uniqueness of solutions, the structure of solutions of linear equations, and the concept of linear independence and its relationship to the Wronskian.

C. Solve linear equations with constant coefficients by the method of variation of parameters and undetermined coefficients.

D. Solve linear systems of differential equations by the methods of elimination and eigenvalues.

E. Use Laplace transforms in the solutions of equations.

F. Use power series in the solution of equations.

G. Applications and numerical models.

Academic Integrity:

Students, Faculty and administration at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits:

cheating,

plagiarism (turning in work not written by you or lacking proper citation),

falsification and fabrication (lying or distorting the truth),

helping others to cheat,

making unauthorized changes in official documents,

pretending to be someone else or having someone else to pretend to be you,

making or accepting bribes, special favors, or threats, and any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students with a fair hearing if a complaint is made. If you are found to have violated the policy, the minimum penalty is failure on the assignment and a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

VI.

Outline of Topics:

A. First Order Differential Equations

1. Linear equations
2. Separable Equations
3. Exact equations
4. Integrating factors
5. Use of technology to solve differential equations and systems

B. Higher Order Linear Differential Equations

1. Homogeneous equations
2. Reduction methods for order of equations
3. Homogeneous equations with constant coefficients
4. Complex roots of auxiliary equations
5. Nonhomogeneous equations
6. Method of undetermined coefficients
7. Method of variation of parameters
8 Use of technology to support calculations

C. Applications and Modeling

1. Growth and decay
2. Mechanics
3. Vibrations
4. Spring-mass systems
5. Electric circuits
6. Numerical techniques

D. Systems of Differential Equations

1. Elimination Method
2. Eigenvalue method
3. Use of technology to demonstrate methods

E. Laplace Transform

1. Properties of the Laplace transform
2. Inverse transform and solution of initial value problems
3. Laplace transform of discontinuous functions
4. Convolutions calculated by the Laplace transform
5. Use of technology to calculate Laplace transforms

F. Power Series

1. Power and Taylor series
2. Regular and ordinary singular points
3. Frobenius' method

VII.

Methods of Instruction:

(To be completed by instructor)

Methods of presentation can include lectures, discussion, demonstration, experimentation, audiovisual aids, group work, and regularly assigned homework. Calculators / computers will be used when appropriate. Use of a Computer Algebra System is recommended. Mathematica is available for use at the college at no charge.

VIII.

Course Practices Required:

(To be completed by instructor)

IX.

Instructional Materials:

Required Textbook:

A First Course in Differential Equations with Modeling Applications (with CD-ROM and iLrn Tutorial), 8th Edition, Thomson Learning.

ISBN-10: 0534418783 ISBN-13: 978-053-441878-6

Required Materials: Floppy disks for use in the computer laboratory.

Methods of Evaluating Student Progress:

(To be determined and announced by the instructor)

Evaluation methods can include graded homework, chapter or major tests, quizzes, individual or group projects, calculator/ computer projects, and a final examination.

XI.

Other Course Information:

Individual instructors will establish and announce specific policies regarding attendance, due dates and make-up work, incomplete grades, etc.

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in Instructional Support Services. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

Effective Beginning Term	Fall	2000	Ending Term
	(term)	(year)		(term)	(year)
Prepared by:	J. Hasset & R. Sompolski		Date: Fall 1999
Reviewed by Department/ Program Chair	Rudy Maglio		Date:
Approved by Dean:	Edward Garcia		Date: