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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS FIZ 1116 MATHEMATICAL METHODS IN PHYSICS 1 COMPULSORY 2 2 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 the course is to teach mathematical concepts used in the physics curriculum and to solve physical problems using these concepts.

Learning Outcomes of the Course Unit

1   Be able to say scalar product, vector product, properties and calculations of determinants, special matrices, Special operators, linear operators, differential vector operators (Gradient, Divergence, Stokes, Laplacian) and integral theorems (curved integrals, Green s theorem in the plane, Divergence theorem, Stokes theorem) 2   Be able to comprehend relation with topics in physics of scalar product, vector product, properties and calculations of determinants, special matrices, special operators, linear operators, Differential vector operators (Gradient, Divergence, Stokes, Laplacian), integral theorems (curved integrals, Green s theorem in the plane, Divergence theorem, Stokes theorem) and eigenvalue-eigenvector problems 3   Be able to solve problems about scalar product, vector product, properties and calculations of determinants, special matrices, Special operators, linear operators, Differential vector operators (Gradient, Divergence, Stokes, Laplacian) and integral theorems (curved integrals, Green s theorem in the plane, Divergence theorem, Stokes theorem) 4   Be able to solve problems about eigenvalue-eigenvector 5   Be able to associate with topics in physics the topics of scalar product, vector product, properties and calculations of determinants, special matrices, Special operators, linear operators, differential vector operators (Gradient, Divergence, Stokes, Laplacian), integral theorems (curved integrals, Green s theorem in the plane, Divergence theorem, Stokes theorem) and eigenvalue-eigenvector problems

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Vector algebra 2 Properties and calculations of determinants, vector derivatives, applications 3 Differential vector operators (Gradient, Divergence, Stokes, Laplacian) 4 Applications of the differential vector operators in physics 5 Curved coordinates, vector operators in curved coordinates 6 Curved integrals, Green s theorem in the plane 7 The divergence theorem, applications 8 General review, Course evaluation, Midterm exam 9 Stokes theorem, applications 10 Linear vector space, linear operators 11 Special operators, eigenvalue problems of hermitic operators 12 Matrix operations, special matrices 13 Similarity transformations, eigenvalues eigenvectors problems of matrices 14 Eigenvalues problems of hermitic matrices, applications 15 Final exam

Recomended or Required Reading

Karaoğlu,Bekir (2009) Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, Ankara. Öztürk, Emine (2011) Fizik ve Mühendislikte Matematik Metodlar, Seçkin Yayıncılık,Ankara. Önem, Çoşkun (2003) Mühendislik ve Fizikte Matematik Metodlar, Birsen Yayınevi.

Planned Learning Activities and Teaching Methods

expression, question-answer

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

There is a 70% attendance requirement.

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 Tutorials 13 2 26 Preparations before/after weekly lectures 13 1 13 Preparation for midterm exam 2 7 14 Preparation for final exam 3 8 24 Final 1 2 2 Midterm 1 2 2 TOTAL WORKLOAD (hours) 107

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 LO.2 5 LO.3 5 LO.4 5 LO.5 5