DICLE UNIVERSITY

SCIENCE INSTITUTE

Department of Mathematics

COURSE INFORMATION PACKAGE

Course Code / Optic Code / Consultation Hours / T+A / Credit / ECTS
504 070 / To be announced / 3+0 / 3 / 8
Course Title / NUMERICAL METHODS AND MATLAB
Year/Semester / -  / SPRING
Status / SELECTIVE
Programme’s Name / MASTER / PhD
Language of instruction / TURKISH
Prerequisites / NO
Disable Students / In case of need, Handicapped students can request some facilities by giving information about herself.
Student Responsibilities / In terms of content of the course, to get ready, to participate, and to carry out responsibilities, which are homework, project, disputation, and reading the interested parts, about course to be performed
Lecturer / Yrd.Doç.Dr.Abdullah BAYKAL e-mail: baykal.abdullah@gmail.com, Tel:3221
Course Assistant / NO
Course Objectives / To earn the qualifications of
- Algorithm construction in an advanced level,
- Mathematical model construction and calculation of numerical solution
- To analyze a complex and many unknown systems,
- To represent experimental data as numerical data
Learning Outcomes / At the end of this course students learn;
- To construct numerical algorithm in an advanced level
- To build mathematical model
- To solve complex systems
- To represent experimental data as mathematical formulation
- To make error anaysis and covergence analysis
504 070 / NUMERICAL METHODS AND MATLAB / 3+0 / 3 / 8
Contents, learning activities
Week / Topic / Learning Activities
1 / Introduction / Numerical Methods in the discussion
2 / Error in numerical analysis, / Numerical transactions error to occur causes
3 / Error analysis of functions, least square concepts in numerical methods / Arithmetic operation errors
4 / Advanced numerical solution of ordinary diferential equations / Arithmetic operation errors
5 / Pade approcah / Pade method in the discussion
6 / Cbebyshev polynomials / Polynomial information and answer questions about the
7 / Midterm Exams / Debate about the exam questions
8 / Shooting Technique, Galerkin and Raigleigh-Ritz Method, / Shooting technique disclosed
9 / Non linear equation systems, Root finding / Disclosure of non-linear equations
10 / Numerical Solution of partial Diferential Equations / Numerical solutions of partial differential equations program
11 / Numerical Solution of partial Diferential Equations / Continue to thread
12 / Approximation methods, Interpolation, Linear Regression, Interpolation Polynoms / Approximation methods
13 / Lagrange interpolation, Newton Interpolation, / Lagrange interpolation discussion
14 / Finite Element Method / What is the finite element method
15 / Numerical integration / Explanation of the concept of integration
Assessment criteria / Type of Criteria / If any, mark as (X) / Percent (%) / Other
Midterm Exams / X / 20 / Course to beat the success of the process to determine the student's scores will be given to a certain extent his activities.
Quizzes / X / 10
Homeworks / Term Paper / Presentation
Projects / X / 10
Attendance & cover a subject
Others
(in training, field survey, thesis preparation vb).
Final Exam / X / 60
Textbook / -Numerical Anaysis, Seveth Edition, R.L. Burden, J.D. Faires, Brooks/Cole, 2001.
Recommended Reading / - Fausett, L.V., Applied Numerical Analysis Using MATLAB®, Prentice Hall,1999.
- Mathews, H.J., Fink, D.K., Numerical Methods Using MATLAB, 4th Edition,
Prentice Hall, 2004.
Regulating / Discipline of Applied Mathematics in Mathematics

1.  Efficiency examples: Contribution to course, homework activities, seminars, study in laboratory, scanning on paper and books, observation, contribution to activities, sample study on case, etc.

2.  Course’s time is determined according to examination, quiz, homework, project, and contribution to class.

3.  Average mark about course is determined by above activities and booked down student information system of university.

4.  Midterm exam will be planned between 7 and 10’th week of semester by related lecturer.

5.  ECTS calculation form will contain checkout of course.

6.  Checkout course paper will be given to students at beginning of each semester.