Course Name : Ordinary and Partial Differential Equations

Degree: Bachelor

Code

Year/Semester

Local Credits

ECTS Credits

Course Implementation, Hours/Week

Course

Tutorial

Laboratory

ENG215

2/1 (FallSpring)

4

5

4





Department

Naval Architecture and Marine Engineering Programme

Instructors

Şengül Ersoy, Ph.D., Lecturer

Contact Information

Piri Reis University, Faculty of Economics and Administrative Sciences
Phone: +90 216 581 00 50
Ext:1737
Email: sersoy@pirireis.edu.tr

Office Hours

Monday: 13:0015:00

Web page

http://www.pirireis.edu.tr/pruonline

Course Type

Compulsory

Course Language

English

Course Prerequisites

MATH122

Course Category by Content, %

Basic Sciences

Engineering Science

Engineering Design

Humanities

90

10



Course Description

First Order Differential Equations, Second Order Linear Equations, Higher Order Linear Equations, Series Solutions of Linear Equations, The Laplace Transform, Systems of First Order Linear Equations, Introduction to Partial Differential Equations

Course Objectives

1. introduce the basic concepts of differential equations
2. present methods to solve differential equations of various types
3. acquire skills to apply the knowledge of differential equations to engineering problems

Course Learning Outcomes

Upon succesful completion of the course students are expected to
 classify differential equations by order, linearity, and homogeneity
 know the menings of an implicit, explicit, singular, particular and general solutions of a differential equation
 verify that a given function is a solution of a differential equation
 use appropriate method for solutions of first, second and higher order differential equations
 solve a nonhomegeneous linear differential equation with constant coefficients by using annihilators or undetermined coefficients ,or variation or parameters
 solve linear differential equations using power series and Laplace transform methods
 solve a system of first order linear equations by using elimination or Laplace transform methods
 find Fourier series expansions of periodic functions
 know what a partial differential equation is and solve initialboundary value problems given for the heat, wave and Laplace equations by the method of separation of variables technique
 apply the knowledge of ordinary and partial differential equations in solving engineering problems

Instructional Methods and Techniques

Lecture, problem solving

Tutorial Place


Coterm Condition


Textbook

Differential Equations with Boundary Value Problems, Dennis G. Zill, Michael R. Cullen, 7th Edition, Brooks Cole Publishing Company, 2009

Other References

 Elementary Differential Equations and Boundary Value Problems, 7th Edition, John Wiley and Sons Inc., W. E. Boyce, R. C. DiPrima, 2010.
 Fundamentals of Differential Equations, 8th Edition, Addison Wesley, K. Nagle, A. B. Saff, E. D. Snider, 2011

Homework & Projects

At least 5 quizzes and homeworks.

Laboratory Work


Computer Use


Other Activities











