GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS/MATH201
 Course Title: DIFFERENTIAL EQUATIONS Credits 3 ECTS 5 Course Semester 3 Type of The Course Compulsory
COURSE INFORMATION
-- (CATALOG CONTENT)
-- (TEXTBOOK)
-- (SUPPLEMENTARY TEXTBOOK)
-- (PREREQUISITES AND CO-REQUISITES)
-- LANGUAGE OF INSTRUCTION
English
-- COURSE OBJECTIVES
-- COURSE LEARNING OUTCOMES
Understand the differential equation concept.
Learning the types of differential equation.
Be able to formulate mathematical models for engineering problems
Be able to determine the particular and general solutions of the first and second-order differential equations.
Be able to solve the differential equations with Laplace transform.

-- MODE OF DELIVERY
The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE 1. Week Mathematical models. Definition of linear and nonlinear differential equations . Separable equations. 2. Week Solution of for various linear and nonlinear forms in y of f(x,y). 3. Week Exact differential equations. Integrating factors. Linear first-order equation. Existence and uniqueness of solutions. Picard’s iteration. 4. Week Second-order constant-coefficient linear differential equations. Higher-order differential equations. 5. Week Characteristic equation and case of real repeated and complex roots.Euler’s formula for complex exponential function. Cauchy-Euler. 6. Week The nonhomogeneous equation and applications of second order differential equations 7. Week Laplace transform method. First and second shifting theorems 8. Week Laplace transform method. First and second shifting theorems 9. Week Transformation of initial-value problems with various discontinuous loading functions 10. Week Convolution. Unit impulses and the dirac delta function. 11. Week Laplace Transfom solution of Systems. 12. Week Differential equations with polynomial coefficients 13. Week Power series solutions of initial value problems. 14. Week Singular points and the method of Frobenius. 15. Week Final 16. Week Final
-- TEACHING and LEARNING METHODS
-- ASSESSMENT CRITERIA
 Quantity Total Weighting (%) Midterm Exams 1 40 Assignment 0 0 Application 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Percent of In-term Studies 40 Percentage of Final Exam to Total Score 60