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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 4011 NUMERICAL SOLU.OF ORDINA.DIFE.EQU. ELECTIVE 4 0 0 7

Offered By

Mathematics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR MELTEM ADIYAMAN

Offered to

Mathematics (Evening) Mathematics

Course Objective

This is a first course on scientific computing for ordinary differential equations. It includes the construction, analysis and application of numerical methods for ODEs (initial value and boundary value problems.

Learning Outcomes of the Course Unit

1   Will be able to calculate Numerical Solution of Ordinary Differential Equations. 2   will be able to calculate Numerical Solution of Higher Order Equations and system 3   will be able to calculate numerical Solution of Boundary Value Problems. 4   Will be able to implement numerical methods for solving initial and boundary value problems by software package Mathematica 5   will be able to analyse the stability of the numerical methods

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Theory of Ordinary Differential Equations 2 One step methods, Euler's method 3 Higher order Taylor method, Runge Kutta Method 4 Truncation errors of one-step methods,convergence of one step methods 5 Multistep methods, methods based on numerical integration, explicit and implicit methods 6 Predictor-corrector methods 7 Extrapolation methods 8 Midterm, Application of the methods by Mathematica 9 Stiff differential equations 10 Stability and convergence 11 Shooting methods to Boundary value Problems 12 Finite difference method for linear boundary value problems 13 Finite difference method for non-linear boundary value problems 14 Application of methods by Mathematica

Recomended or Required Reading

Textbook(s): Elementary Numerical Analysis (Third edition) by Kendall Atkinson, Weimin Han, John Wiley and Sons, Inc. Supplementary Books: An introduction to Numerical Methods and Analysis, James F. Epperson,Wiley Materials: Course presentation slayts

Planned Learning Activities and Teaching Methods

Lecture notes Presentations Solving problem

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 ASG ASSIGNMENT 3 FINS FINAL EXAM 4 FCG FINAL COURSE GRADE MTE * 0.30 + ASG * 0.20 + FIN * 0.50 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.20 + RST * 0.50 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Midterm, Assignment, Final

Language of Instruction

English

Course Policies and Rules

1. Attending at least 70 percent of lectures is mandatory. 2. Plagiarism of any type will result in disciplinary action

Contact Details for the Lecturer(s)

e-mail: meltem.evrenosoglu@deu.edu.tr tel: (232) 301 85 75

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 4 56 Preparations before/after weekly lectures 14 1 14 Preparation for midterm exam 1 24 24 Preparation for final exam 1 35 35 Preparing assignments 1 30 30 Final 1 2 2 Midterm 1 2 2 TOTAL WORKLOAD (hours) 163

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 LO.1 4 3 4 2 3 4 4 4 3 5 LO.2 4 3 4 2 3 4 4 4 3 5 LO.3 4 3 4 2 3 4 4 4 3 5 LO.4 3 4 2 3 4 4 4 5 3 5 LO.5 5 4 4 3 4 3 4 4 4 5