Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT213 - MATHEMATICS

Code: MAT213 Course Title: NUMERICAL ANALYSIS I Theoretical+Practice: 4+0 ECTS: 5
Year/Semester of Study 2 / Fall Semester
Level of Course 1st Cycle Degree Programme
Type of Course Compulsory
Department MATHEMATICS
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer YASİN YAZLIK (yyazlik@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
Giving basic information about numerical analysis that the student will need during undergraduate and graduate education. And to figure out how to go about solving problems.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts.
PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data.
PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge.
PO-4 Analytically use the interdisciplinary approach at learning process.
PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods
PO-7 Have the knowledge to determine the needs related to his area and to direct his learning and use exclusively computer technologies with software.
PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education.
Examination
Oral Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Basic concepts, Errors I, Basic concepts, Errors II, Linear algebraic systems of equations, Linear algebraic equation systems with linear methods, Solution of linear algebraic equation systems with iterative methods, Approximate solutions of nonlinear algebraic equations, Methods of approximate solutions of nonlinear algebraic equations, Finite difference and difference equations introduction, Finite difference operators, Introduction to interpolation, Polynomial interpolations, Spline interpolations, Plane interpolations
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Basic concepts, Errors I
2 Basic concepts, Errors II
3 Linear algebraic systems of equations
4 Linear algebraic equation systems with linear methods
5 Solution of linear algebraic equation systems with iterative methods
6 Approximate solutions of nonlinear algebraic equations
7 Methods of approximate solutions of nonlinear algebraic equations
8 mid-term exam
9 Finite difference and difference equations introduction
10 Finite difference operators
11 Difference equations
12 Introduction to interpolation
13 Polynomial interpolations
14 Spline interpolations
15 Plane interpolations
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Yakowitz,S., An Introduction to Numerical Computations, Macmillan, 1989.
2 Cheney,W.,-Kincaid,D., Numerical Analysis Mathematics of Scientific Computing,AMS,2009.
Required Course instruments and materials

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) 4 14 56
Outside Class
       a) Reading 3 14 42
       b) Search in internet/Library 1 14 14
       c) Performance Project 0
       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 4 4 16
mid-term exam 2 1 2
Own study for final exam 4 4 16
final exam 2 1 2
0
0
Total work load; 148