Course Information
Course Title Code Semester T + P ECTS
Methods of Theoretical Physics FIZ365 5 4 + 0 7

Prerequisites Non

Language Turkish
Level Bachelor's Degree
Type Compulsory
Coordinator Assist.Prof. NURGÜL AKINCI
Instructors Assoc.Prof. RIDVAN BALDIK, Assist.Prof. NURGÜL AKINCI
Goals It is proposed to teach mathematical methods used in physics.
Contents Basic mathematical applications and error analysis on numerical methods, Ordinary differantial equations, Physical System Modelling Applications, Boundary value and eigenvalue problems, Matrices applications and its application to eigen value problems, Monte-Carlo Methods, Errors, Distributions, Least square methods, Correlation and regression, Finite difference methods.
Work Placement(s) Absent

Number Learning Outcomes
1 Knows mathematical methods used in problem solving.
2 Have the ability to apply mathematical methods in problem solutions.
3 Knows basic mathematical concepts used in physics.

Mode of Delivery Face-to-Face
Planned Learning Activities & Teaching Methods Lectures are given on blackboard.
Assessment Methods Two midterm exam.



Course Content
Week Topics Study Materials
1 Vector Algebra [1] Page 1-25
2 Gradient, Divergence and Curl [1] Page 26-33
3 Integral Theorems, Green’s Theorem, Divergence Theorem, Stokes Theorem [1] Page 34-48
4 Linear Vector Space, Linear Operators, Finite Dimensional Vector Spaces [1] Page 49-75
5 I. MIDTERM EXAM Lectures should be reviewed by the student.
6 Legendre Polinoms, Spherical Harmonics [1] Page 76-106
7 Hermite Polinoms, Laguerre Polinoms, Bessel Functions [1] Page 106-128
8 Complex Numbers, Complex Functions [1] Page 129-139
9 Complex Integral, Residues [1] Page 140-176
10 Fourier Series, Fourier Transform [1] Page 191-212
11 II. MIDTERM EXAM Lectures should be reviewed by the student.
12 Laplace Transform [1] Page 213-228
13 Series Solution of Differential Equations [1] Page 229-244
14 Linear Systems [1] Page 244-254



Sources
Textbook Fizik ve Mühendislikte Matematik Yöntemler, B. Karaoğlu, Seçkin Yayıncılık, 2007.
Additional Resources Mathematical Methods for Physicists, G.B. Arfken, 1995.



Assessment System Quantity Percentage
In-Term Studies
Mid-terms 2 100
In-Term Total 2 100
Contribution of In-Term Studies to Overall 40
Contribution of Final Exam to Overall 60
Total 100





Course's Contribution to PLO
No Key Learning Outcomes Level
1 2 3 4 5
1 Has textbooks containing current information, application tools and equipment , and advanced theoretical and practical knowledge supported by other resources in a scientific approach. x
2 Adapts and transfers the acquired knowledge to secondary education.
3 Uses advanced institutional and practical knowledge acquired in the physics field. x
4 Updates the information on daily conditions. x
5 Comments on and evaluate the data by using advanced knowledge and skills acquired in the field, identifies and analyzes the current problems of technological developments, and comes up with solutions based on research and evidence. x
6 Has the ability to conceptualize the events and facts related with the field; analyze them with scientific methods and techniques. x
7 Designs and performs experiments to analyze the problems, collects data, performs analyzes and comment on the results.
8 Carries out an advanced study related to the field independently.
9 Takes on responsibility individually and as a team member in order to solve unpredictable and complex problems encountered in applications related to the field.
10 Plans and manages the activities in a project under his responsibility for development.
11 Plays a role in the process of decision making when faced with problems about different discipline fields.
12 Uses time effectively in the process of inference with the ability of thinking analytically. x
13 Evaluates the advanced knowledge and skills acquired in the field with a critical perspective.
14 Determines the learning requirements and leads the learning process.
15 Develops a positive attitude towards lifelong learning.
16 Is aware of the necessity of lifelong learning and develops his Professional knowledge and skills continuously.
17 Informs people and organizations about the topics related to their fields; expresses his ideas and suggestions for solutions to problems in both oral and written form.
18 Shares his ideas and suggestions for solutions to the problems with experts and non-experts by supporting them with quantitative and qualitative data.
19 Organizes projects and activities for social environment he lives in with an awareness of social responsibility.
20 Follows advances in the field and communicate with colleagues by using a foreign language at least at B1 level of European Language Portfolio.
21 Uses information and communication technology along with software the Human Sciences the field requires at an advanced level.
22 Uses his knowledge of human health and environmental awareness acquired in their fields for society’s ends.
23 Behaves in a way adhering to the social, scientific, cultural and ethical values in the process of data collection, commenting, application, publicizing the results related with the field.
24 Has a sufficient level of awareness about the universality of social rights, social justice, quality management, acting in a suitable way in processes and attendance (Instead of quality culture) the protection of cultural values, protection of the environment and health and security in the professional field.



ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities Quantity Duration (Hour) Total Work Load (h)
Course Duration 14 4 56
Hours for off-the-classroom study (Pre-study, practice) 14 5 70
Mid-terms 2 30 60
Final examination 1 30 30
Total Work Load (h) 216
Total Work Load / 30 (h) 7.2
ECTS Credit of the Course 7