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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS FZK 5006 MATHEMATICAL METHODS IN PHYSICS ELECTIVE 2 0 0 4

Offered By

Physics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

DOCTOR ASLIHAN KARTAL TAŞOĞLU

Offered to

Physics Teacher Education

Course Objective

The aim of this course is to teach mathematical concepts in physics education and to solve different physical problems with using these concepts.

Learning Outcomes of the Course Unit

1   Be able to say the basic concepts, principles and equations of mathematical methods in physics. 2   Be able to comprehend the relation between basic concepts, principles and equations of mathematical methods in physics and topics in physics. 3   Be able to solve the problems related to the basic concepts and principles of mathematical methods in physics. 4   Be able to relate basic concepts, principles and equations of mathematical methods in physics to topics in physics 5   Be able to synthesize basic concepts, principles and equations of mathematical methods in physics with the problems given in different courses.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Properties of vectors, cartesian coordinates and unit vectors 2 Scalar and vector fields, the derivation of a vector, Gradient 3 Divergence, rotational, laplacian 4 Line integrals, surface and volume integrals, Gauss Theorem 5 Stokes Theorem, Green Theorem in the Plane 6 Application of spherical coordinates and integral theorems 7 Application of cylindrical coordinates and integral theorems 8 Review,evaluation of the course,midterm 9 Complex numbers, geometric definition of complex numbers, the nth power or root of a complex number 10 Complex integral, Cauchy Theorem 11 Series expansion of complex functions, Taylor and Laurent series 12 Residue Theory, Residue account 13 The calculation of definite integrals by the residue method 14 Fourier series 15 Final exam

Recomended or Required Reading

Textbook(s): Fizik ve Mühendislikte Matematik Yöntemler: Bekir KARAOĞLU, Seçkin Yayıncılık, Ankara,2009 Supplementary Book(s): References: Fizik ve Mühendislikte Matematik Metodlar: Prof.Dr. Emine ÖZTÜRK,Seçkin Yayıncılık,Ankara,2011 Mühendislik ve Fizikte Matematik Metodlar: Coşkun ÖNEM, Birsen Yayınevi,2003 Materials:

Planned Learning Activities and Teaching Methods

Presentation technique, question-answer, discussion, group study

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)

aslihan.kartal@deu.edu.tr

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 1 13 Preparation for midterm exam 2 12 24 Preparation for final exam 4 8 32 Final 1 2 2 Midterm 1 2 2 TOTAL WORKLOAD (hours) 99

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 PO.19 PO.20 LO.1 5 5 3 1 3 3 3 1 2 1 LO.2 5 5 3 1 3 3 3 1 2 1 LO.3 5 5 4 1 3 3 3 3 2 1 LO.4 5 5 4 1 3 3 3 3 2 1 LO.5 5 5 4 1 3 3 3 3 2 1 3