Prerequisite: MAT 252 with a grade of C or better or concurrent enrollment in MAT 252.
Course (Catalog) Description: This course
presents the solution of ordinary linear differential equations of first
and second order with applications, power series, LaPlace transformations
and numerical methods.
Learning Objectives:
1. Solve first order differential equations by the methods such as
separable equations, exact equations, homogeneous equations, linear equations,
and direction fields.
2. 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.
3. Solve linear equations with constant coefficients by the methods
of variation of parameters and undetermined coefficients.
4. Solve linear systems of differential equations by the methods
of elimination and eigenvalues.
5. Use Laplace transforms in the solutions of equations.
6. Use power series in the solution of equations.
7. Applications of ordinary differential equations.
Academic Integrity: The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Oakton Community College has adopted a Code of Academic Conduct and a Statement of Student Academic Integrity. These may be found in the Student handbook. You may also find a summary of the Code of Academic Conduct on the College Catalog. Among the violations of academic integrity listed and defined are: Cheating, plagiarism, falsification and fabrication of records and official documents, personal misrepresentation and proxy, and bribes, favors, and threats.
It is the student's responsibility to be aware of behaviors that constitute academic dishonesty.
Pursuant to the due process guarantees contained in the Policy and Procedures on Student Academic Integrity, the minimum punishment for the first offense for a student found in violation of the standards of academic integrity is failure in the assignment. In addition, 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.
Instructional Materials:
One floppy diskette and a scientific calculator (TI-89 recommended)
Differential Equations and Boundary Value Problems, Computing and Modeling, 2nd edition by Edwards and Penney, Prentice-Hall, 2000.
Computing Projects - Differential Equations and Boundary Value Problems, Computing and Modeling, 2nd edition by Edwards and Penney, Prentice-Hall, 2000.
Methods of Instruction: Evaluation methods can include grading homework, chapter or major tests, quizzes, individual or group projects, calculator/computer projects and a final examination.
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MAT 262 001 |