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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS LME 5011 NUMERICAL ANALYSIS ELECTIVE 2 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR AYTEN ERDURAN

Offered to

Mathematics Teacher Education

Course Objective

The aim of this course is to present theoretical knowledge about instructional metarial design and to develop the competency and skill of students' to design materials.

Learning Outcomes of the Course Unit

1   1. To be able to aware of need for approximate solutions, its importance, the place in mathematics and reasons of its emerging. 2   2. To be able to make sense of error types and the relationship between approximate solution and exact solution. 3   3. To be closely acquainted with computer s numeric system. 4   4. To solve the problems that have not exact solution approxiametly. 5   5. To gain skill of selecting and applying the best method for the confronted problem.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Emerging reason of numerical methods. Associating numerical methods with mathematical modelling. 2 Errors in numerical methods. 3 Numerical solution of linear and nonlinear equations, Fixed Point Iteration, Method of Bisection. 4 Newton Raphson Method, Regula Falsi Method, Computer Applications. 5 Müller Method, Square Root Graeffe Method. 6 Numerical solution of linear equations systems, Simple Iteration Method, Gauss Seidell Iteration. 7 Course overwiev, evaluation and Midterm exam. 8 Numerical solution of nonlinear equations systems, Simple Iteration Method, Newton Raphson Method. 9 Finite Differences, Operators. 10 Interpolation 11 Lagrange Method, Aitken s Method. 12 Curve Fitting, Least Squares Method, Computer applications. 13 Numerical derivative, Numerical integration. 14 Numerical solutions of ordinary differential equations. 15 Final Exam

Recomended or Required Reading

Kincaid, D. ve Chency, W. (2017). Nümerik Analiz Bilimsel Hesaplama Matematiği. Çeviri Ed: Nuri Özalp, Ankara: Palme Kitabevi. Tütek, H.H., Gümüşoğlu, Ş., Özdemir, A. ve Özdemir A. (2011). Sayısal Yöntemlerde Problem Çözümleri ve Bilgisayar Destekli Uygulamalar, Istanbul: Beta Basım Yayım A.Ş.

Planned Learning Activities and Teaching Methods

Discussion, Question-Answer, Group work

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 VZ Midterm 2 FN Semester final exam 3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60 4 BUT Make-up note 5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

ayten.erduran@deu.edu.tr Cahit Arf Binası 326 nolu oda Tel: 3012395

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 2 26 Preparations before/after weekly lectures 13 4 52 Preparation for midterm exam 1 10 10 Preparation for final exam 1 10 10 Final 1 1 1 Midterm 1 1 1 TOTAL WORKLOAD (hours) 100

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 PO.14 PO.15 PO.16 PO.17 PO.18 LO.1 3 3 3 LO.2 4 4 4 3 3 LO.3 4 5 3 3 LO.4 5 5 5 3 3 LO.5 5 5 5 3 3