# Syllabus

## Instructor

Prof. Junseok Kim

Tel : 3290-3077

## Homepage

http://elie.korea.ac.kr/~cfdkim/

## Lecture Times

10:30 TT, 532

## Office Hours

Anytime with appointment

## Text book

Elementary Differential Equations and Boundary Value Problems,

9th Edition, by W.E. Boyce and R.C. DiPrima, John Wiley & Sons,
2009,

ISBN 978-0-470-03940-3

## Description of course

This course is a study of differential equations: Topics include the solution of first and second order differential equations, homogeneous and non-homogeneous differential equations, initial value problems, systems of linear differential equations, series solutions, numerical methods, Laplace transforms.

## Course Objectives

Upon completion of this course, you should be able to:

1. Solve any first order differential equation.

2. Demonstrate variable separable, homogeneous, exact, linear, Bernoulli linear and Ricatti linear differential equations.

3. Solve second order differential equations with constant coefficients and complementary and particular solutions.

4. Apply the methods of undetermined coefficients, variation of parameters and reduction of order.

5. Apply second order differential equations to springs and electrical circuits.

6. Solve differential equations using power series, Froebenius series, Bessel functions, Gamma functions, Laplace transforms and the Heaviside (unit step) function.

7. Set up systems of linear differential equations using characteristic equations.

8. Use the Wronskian determinant to test for linear independence or linear dependence.

## Homework

Homework problems will be assigned daily in class.

## Grades

Grades will be determined exclusively from homework, midterm, and final exam scores.

**Midterm Examination** 100 possible pts.

**Homework and Quizes** 100 possible pts.

**Final Examination** 100 possible pts.