PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
ELK 527	ADVANCED ENGINEERING MATHEMATICS	3 + 0	2nd Semester	7,5

COURSE DESCRIPTION

Course Level	Doctorate Degree
Course Type	Compulsory
Course Objective	To create math substructure that is required for the study in master, and, to provide support that is required to solve special problems in a variety of expertise.
Course Content	The solution of differential equations with power series, Special polynomial and applications, Sturm-Liouville theory and eigenfunction expansion, Single and multiple Fourier analysis, Initial and boundary-value problems, 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	1) To provide the solution of special problems in a variety of expertise.
2	To provide the mathematical substructure that is required for theoretical studies.

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
LO 001	5	5	4	4	4	3	3	4	2	4	2
LO 002	5	5	2	4	4	2	2	5	2	3	2
Sub Total	10	10	6	8	8	5	5	9	4	7	4
Contribution	5	5	3	4	4	3	3	5	2	4	2

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
Hours for off-the-classroom study (Pre-study, practice)	14	5	70
Assignments	15	3	45
Mid-terms	1	15	15
Final examination	1	23	23
Total Work Load ECTS Credit of the Course			195 7,5

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
ELK 527	ADVANCED ENGINEERING MATHEMATICS	3 + 0	1	Turkish	2023-2024 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. CEYHUN KARPUZ	ckarpuz@pau.edu.tr		MUH A0497 MUH B0020	%

Goals		To create math substructure that is required for the study in master, and, to provide support that is required to solve special problems in a variety of expertise.
Content		The solution of differential equations with power series, Special polynomial and applications, Sturm-Liouville theory and eigenfunction expansion, Single and multiple Fourier analysis, Initial and boundary-value problems, Partial differential equations.

Topics

Weeks	Topics
1	The solution of differential equations with power series
2	The solution of differential equations with power series
3	Special polynomial and applications
4	Special polynomial and applications
5	Sturm-Liouville theory
6	Sturm-Liouville theory
7	Eigenfunction expansion
8	Midterm Exam
9	Single and multiple Fourier analysis
10	Single and multiple Fourier analysis
11	Initial and boundary-value problems
12	Initial and boundary-value problems
13	Partial differential equations
14	Partial differential equations

Materials

Materials are not specified.

Resources

Resources	Resources Language
1. E. KREYSZIG, “Advanced Engineering Mathematics”, John Wiley and Sons, Inc.	English
2. Jr. Frank AYRES, “Diferansiyel ve İntegral Hesap”, Güven Yayınları.	Türkçe
3. Bekir KARAOĞLU, “Fizik ve Mühendislikte Matematik Yöntemler”, Güven Yayınları.	Türkçe
4. Prof. Dr. Mehmet AYDIN vs, “Diferansiyel Denklemler ve Uygulamaları”, Barış Yayınları.	Türkçe

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