Course Name Code Semester T+U Hours Credit ECTS
Math. Methods In Physics Sci. FIZ 233 3 3 + 2 4 6
Precondition Courses Having taken the Math I and Math II course is recommended.
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Doç.Dr. ALİ SERDAR ARIKAN
Course Lecturers Doç.Dr. ALİ SERDAR ARIKAN,
Course Assistants Assitants of Physics Department
Course Category Available Basic Education in the Field
Course Objective To help students gain the fundamental knowledge of advanced mathematical method, mechanics and dynamics during their education.
Course Content Vector algebra, vector differential operators, integral theorems, linear vector spaces and operators, orthogonal functions, complex functions, Fourier and Laplace transforms
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Defines vector and vector algebra. Lecture, Question-Answer, Self Study, Problem Solving, Testing, Homework,
2 Summarizes orthogonal coordinate systems. Problem Solving, Self Study, Drilland Practice, Lecture, Homework, Testing,
3 Explains integral theorems with examples. Problem Solving, Self Study, Drilland Practice, Lecture, Homework, Testing,
4 Defines the concept of lineer vector space and lineer operator. Problem Solving, Self Study, Drilland Practice, Lecture, Homework, Testing,
5 Classifies matrices according to their properties. Problem Solving, Self Study, Question-Answer, Lecture, Homework, Testing,
6 Calculates the eigenvalue of a matrix and finds its eigenvectors. Problem Solving, Self Study, Drilland Practice, Lecture, Homework, Testing,
7 Classifies the special functions and determines relations between special functions and physical problems. Problem Solving, Self Study, Drilland Practice, Lecture, Homework, Testing,
8 Defines complex numbers, expresses complex functions with examples. Problem Solving, Self Study, Drilland Practice, Lecture, Homework, Testing,
9 Shows how to do a given function of the Fourier and Laplace transforms. Problem Solving, Self Study, Drilland Practice, Lecture, Homework, Testing,
Week Course Topics Preliminary Preparation
1 Vector Algebra [1] pp. 212-238
2 Differential Vector Operators [1] pp. 212-238
3 Line integral; Green´s theorem in plane [1] pp. 377-387
4 Divergence Theorem; StokesTheorem [1] pp. 401-409
5 Linear Vector Space [1] pp. 242-272
6 Linear Operators [1] pp. 242-272
7 Matrix Algebra; Similarity Transformations [1] pp. 242-272
8 Eigenvalues and Eigenvectors of a Matrix [1] pp. 272-307
9 MIDTERM EXAM
10 Orthogonal polynomials; Legendre polynomials; Spherical Harmonics [1] pp. 507-640
11 Hermit polynomials; Laguerre polynomials; Bessel functions [1] pp. 507-640
12 Complex Functions; Complex integration [1] pp. 824-867
13 Residue theorem and its applications [1] pp. 824-867
14 Fourier Transforms; Laplace Transforms [1] pp. 433-459
Resources
Course Notes [1] K. F. Riley, M. P. Hobson, S. J. Bence, Mathematical Methods for Physics and Engineering, Cambridge University Press, March 2006
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Having enough background in engineering topics related to mathematics, science and their fields. Skill of using theoretical and applied knowledge with engineering solutions in the field, X
2 Identifing, determining, formulating and solving engineering problems. With this purpose choosing and applying analytical methods and modelling techniques, X
3 To analyze a system, a part of a system or a process itself and the skill of design under the given constrains in order to fulfill the specifications. In that direction, the skill of applying modern design techniques X
4 Skill of choosing and applying the modern techniques and vehicles needed by the engineering applications. Skill of using the information technology effectively.
5 Skill of designing and performing an experiment, data acquisition, analyzing and interpreting results, X
6 Ability of accessing information and doing research. Skill of using databases and other information sources.
7 Effective working ability both as an individual and as a part of a multi-disciplinary team, self-esteem on taking responsibility,
8 Ability to make oral or written communication in Turkish. At least one foreign language knowledge,
9 Consciousness of the necessity of the life time learning, following the developments in science and technology and ability of ones’ continous self renewal. X
10 Consciousness of occupational and ethical responsability, X
11 Consciousness on the subjects of project management, field applications, employees health, environment and work safety; awareness on legal consequences of engineering applications, X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Kısa Sınav 10
2. Kısa Sınav 10
1. Ödev 10
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 5 80
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 5 5
Quiz 2 4 8
Assignment 1 6 6
Final examination 1 8 8
Total Workload 155
Total Workload / 25 (Hours) 6.2
dersAKTSKredisi 6