PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 220	APPLIED MATHEMATICS	2 + 2	4th Semester	4

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The aim of this course is to teach basic solution methods and applications in science and engineering problems. .
Course Content	Special Functions, Laplace Transforms and Applications, Fourier Series, Sturm-Lioville Problems, Basic Concepts for Partial Differential Equations, First and Second Order Partial Differential Equations.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Recognizes the special functions and knows the properties.
2	Learns the Laplace transformations and properties.
3	Learns the fundemental concepts of the partially differential equations.
4	Recognizes and solves the first and second order partially differential equations.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13
LO 001		3	4	4	3	3	3	3	3	3	3	3	3
LO 002			2	3	2	2	3	2	3	2	3	2	3
LO 003		3	4	3	3	3	3	4	3	3	3	3	3
LO 004		2	2	3	4	3	2	3	2	3	2	3	2
Sub Total		8	12	13	12	11	11	12	11	11	11	11	11
Contribution	0	2	3	3	3	3	3	3	3	3	3	3	3

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	4	56
Mid-terms	1	20	20
Final examination	1	28	28
Total Work Load ECTS Credit of the Course			104 4

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 220	APPLIED MATHEMATICS	2 + 2	8	Turkish	2022-2023 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. ABDULLAH ALĞIN	aalgin@pau.edu.tr		TEK A0009 TEK A0107	%70

Goals		The aim of this course is to teach basic solution methods and applications in science and engineering problems. .
Content		Special Functions, Laplace Transforms and Applications, Fourier Series, Sturm-Lioville Problems, Basic Concepts for Partial Differential Equations, First and Second Order Partial Differential Equations.

Topics

Weeks	Topics
1	Special Functions
2	Fourier Series
3	Fourier Cosines and Sines Series
4	Parseval Identity
5	Laplace Transformation
6	Inverse Laplace Transformation and their properties
7	Application of the Laplace Transformation to Differential Equations
8	Midterm exam, Application of the Laplace Transformation to Systems of Differential Equations
9	Solution of Particular Integral Equations by Using Laplace Transformation
10	Sturm-Lioville Problem
11	First Order Partial Differential Equations
12	Second Order Partial Differential Equations
13	The method of Separation of Variables
14	Solution by the Laplace Transformation

Materials

Materials are not specified.

Resources

Resources	Resources Language
"Diferansiyel Denklemler (Cilt II): Teori ve Problem Çözümleri", A. Daşçıoğlu, M. Sezer, Dora Yayınevi, Bursa, (2017).	Türkçe
"Mühendislikte Diferansiyel Denklemler", Z. Recebli, M. Özkaymak, Seçkin Yayınevi, Ankara, (2015).	Türkçe
"Higher Engineering Mathematics", J. Bird, (6. Baskı), Elsevier Publ., Amsterdam (2010).	English
"Elementary differential equations and boundary value problems", W. E. Boyce, R. C. DiPrima, Wiley Publ., (10th ed.), (2012).	English

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