Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

INSTITUTE OF SCIENCE / MAT673 - MATHEMATICS (DOCTORATE DEGREE)

Code: MAT673 Course Title: PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS I Theoretical+Practice: 3+0 ECTS: 6
Year/Semester of Study 1 / Fall Semester
Level of Course 3rd Cycle Degree Programme
Type of Course Optional
Department MATHEMATICS (DOCTORATE DEGREE)
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer MEHMET ŞENOL (msenol@nevsehir.edu.tr)
Name of Lecturer(s) SEYDİ BATTAL GAZİ KARAKOÇ,
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
To learn basic cncept of Differential Equations

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Recognizes high order equations, Solves equations using adjoint form, Knows nonlinear equations. PO-1 Students can design an original issue and explore new, different and / or comprehend complex issues.
PO-2 Students will understand all aspects of mathematics and deepen the knowledge level that can innovate in this field.
PO-3 Students will be dominated by current issues in mathematics.
PO-4 At least one foreign language at an advanced level counterparts in written, oral and visual communicate and participate in academic discussions.
 		Examination
Performance Project
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Basic concept and applications of Differential Equations
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Differential Equations and Their solutions Oral represantation, Questioning- Answering, Problem Solving
2 First Order Equations Oral represantation, Questioning- Answering, Problem Solving
3 Applications of First Order Equations Oral represantation, Questioning- Answering, Problem Solving
4 Higher Order Linear Differential Equations Oral represantation, Questioning- Answering, Problem Solving
5 Applications of Second Order Linear Differential Equations Oral represantation, Questioning- Answering, Problem Solving
6 Systems of Linear Differential Equations Oral represantation, Questioning- Answering, Problem Solving
7 Existence and Uniqueness Theorem Oral represantation, Questioning- Answering, Problem Solving
8 mid-term exam
9 Dependence of Solutions on Initial Conditions and on the Function Oral represantation, Questioning- Answering, Problem Solving
10 The Homogeneous Linear System Oral represantation, Questioning- Answering, Problem Solving
11 The Nonhomogeneous Linear System Oral represantation, Questioning- Answering, Problem Solving
12 Sturm-Liouville Boundary value Problems Oral represantation, Questioning- Answering, Problem Solving
13 Orthogonality of Characteristic Functions Oral represantation, Questioning- Answering, Problem Solving
14 The Expansion of a Function in a Series of Orthonormal Functions Oral represantation, Questioning- Answering, Problem Solving
15 Nonlinear Differential Equations Oral represantation, Questioning- Answering, Problem Solving
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Differential Equations, Shepley L. Ross
Required Course instruments and materials
lecture notes

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 2 40
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam 16 2 60

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 3 14 42
Outside Class
       a) Reading 3 14 42
       b) Search in internet/Library 2 7 14
       c) Performance Project 2 8 16
       d) Prepare a workshop/Presentation/Report 0
       e) Term paper/Project 0
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 3 8 24
mid-term exam 2 1 2
Own study for final exam 3 15 45
final exam 2 1 2
0
0
Total work load; 187