Information Of Programmes

INSTITUTE OF SCIENCE / MAT558 - MATHEMATICS

Code: MAT558

Course Title: ADVANCED NUMERICAL ANALYSIS II

Theoretical+Practice: 3+0

ECTS: 6

Year/Semester of Study

1 / Spring Semester

Level of Course

2nd Cycle Degree Programme

Type of Course

Optional

Department

MATHEMATICS

Pre-requisities and Co-requisites

None

Mode of Delivery

Face to Face

Teaching Period

14 Weeks

Name of Lecturer

SEYDİ BATTAL GAZİ KARAKOÇ (sbgkarakoc@nevsehir.edu.tr)

Name of Lecturer(s)

SEYDİ BATTAL GAZİ KARAKOÇ,

Language of Instruction

Turkish

Work Placement(s)

None

Objectives of the Course

Learning Outcomes		PO	MME
The students who succeeded in this course:
LO-1	Know the numerical derivative and integral. Find the numerical solutions of the difference,ordinary and partial differential equations.	PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. PO-3 Mathematics, natural sciences and their branches in these areas and related issues has sufficient infrastructure solutions for the problems of theoretical and practical uses of mathematics.	Examination Performance Project
PO: Programme Outcomes MME:Method of measurement & Evaluation

Course Contents

Weekly Course Content
Week	Subject	Learning Activities and Teaching Methods
1	Numerical derivative	Oral expression,question and answer, solving problem
2	Numerical derivative	Oral expression,question and answer, solving problem
3	Numerical integral	Oral expression,question and answer, solving problem
4	Numerical integral	Oral expression,question and answer, solving problem
5	Numerical integral	Oral expression,question and answer, solving problem
6	Methods for Numerical Solutions of Ordinary Differential Equations	Oral expression,question and answer, solving problem
7	Methods for Numerical Solutions of Ordinary Differential Equations	Oral expression,question and answer, solving problem
8	mid-term exam
9	Trial Solutions of Ordinary Differential Equations with Specified Parameters Collocation Method	Oral expression,question and answer, solving problem
10	Galerkin Method Sub-Domain Method	Oral expression,question and answer, solving problem
11	Least Squares Method	Oral expression,question and answer, solving problem
12	Approximate Solution Methods of Partial Differential Equations Hyperbolic Equations	Oral expression,question and answer, solving problem
13	Parabolic Equations	Oral expression,question and answer, solving problem
14	Crank-Nicolson Method	Oral expression,question and answer, solving problem
15	Elliptic Equations	Oral expression,question and answer, solving problem
16	final exam
Recommend Course Book / Supplementary Book/Reading
1	1. Walter Gautschi, "Numerical Analysis, 2nd Edition" Springer, 2011.
2	2. Kendall Atkinson, "An Introduction to Numerical Analysis" Wiley,1989.
3	3. S. H Lui, "Numerical Analysis of Partial Differential Equations" Wiley, 2011.
Required Course instruments and materials
The books of lecture

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