PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 227	DIFFERENTIAL EQUATIONS - I	3 + 0	3rd Semester	6

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The aim of this course is to teach basic concepts and different solution methods of ordinary differential equations.
Course Content	Fundamental Concepts, First-order Differential Equations, High-order Differential Equations, Linear Differential Equations with Constant Coefficients, Differential Equations Transformed to Linear Differential Equations with Constant Coefficients.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Identifies the differential equations.
2	Classifies the differential equations.
3	Finds the equation whose solution is known.
4	Identifies the first order differential equations and solves.
5	Learns some application areas of first order differential equations.
6	Identifies the higher order differential equations.
7	Finds the solutions of the homogen linear equations with constant coefficients.
8	Finds the solutions of the nonhomogen linear equations with constant coefficients.
9	Learns some application areas of higher order differetial equtions.

COURSE'S CONTRIBUTION TO PROGRAM

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Mid-terms	1	55	55
Final examination	1	59	59
Total Work Load ECTS Credit of the Course			156 6

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 227	DIFFERENTIAL EQUATIONS - I	3 + 0	1	Turkish	2021-2022 Fall

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. UĞUR YÜCEL	uyucel@pau.edu.tr		FEN A0216	%70

Goals		The aim of this course is to teach basic concepts and different solution methods of ordinary differential equations.
Content		Fundamental Concepts, First-order Differential Equations, High-order Differential Equations, Linear Differential Equations with Constant Coefficients, Differential Equations Transformed to Linear Differential Equations with Constant Coefficients.

Topics

Weeks	Topics
1	Basic Concepts: Definition of a differential equation, classifications, solution of a differential equation
2	First order differential equations: Seperable Equations, Homogeneous Equations
3	First order differential equations: Linear Equations
4	First order differential equations: Bernoulli Equation, Exact differential equations
5	First order differential equations: Integrating factor, Ricatti Equation
6	Applications of First-Order Differential Equations: Orthogonal trajectories, Growth and Decay, Cooling, Applications of nonlinear equations
7	First Order and Higher Degree Differential Equations
8	Some Higher-Order Differential Equations
9	Linear Differential Equations of Higher-Order
10	Solutions of Linear Equations
11	Homegeneous Linear Equations
12	The Method of Undetermined Coefficients, The Variation of Parameters Method
13	Cauchy-Euler Differential Equation
14	Applications of Second-Order Differential Equations

Materials

Materials are not specified.

Resources

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student