Information Package / Course Catalogue
Lineer Algebra For Physicist
Course Code: FİZ203
Course Type: Area Elective
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 4
Objectives of the Course

Reducing multidimensional and complex problems, which are frequently encountered in physics, into a solvable form by using matrices and vectors.

Course Content

Vector spaces and bases, matrices and linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, tensors.

Name of Lecturer(s)
Learning Outcomes
1.Modelling physical operators in matrix form
2.Applies spectral analysis and diagonalization methods
3.Utilizes Dirac Bra-Ket notation
4.Analyzing functions as elements of vector spaces
5.Applying linear algebra tools in computational physics.
6.Relates the concepts of physical state and measurement to the elements of linear algebra
7.Connects the fundamental concepts of linear algebra to topics such as quantum mechanics, relativity, and artificial intelligence.
Recommended or Required Reading
1.Linear Algebra and Its Applications. D. C. Lay, S. R. Lay, J. J. McDonald, Perason, 2014
2.Linear Algebra and Its Applications. G. Strang, Cengage Learning, 2006.
3.Elementary Linear Algebra, H. Anton, A. Kaul, Wiley, 2010.
4.Linear Algebra with Applications, J. L. Steven, Pearson, 2009.
5.Elementary Linear Algebra, D. R. Hill, Palme Yayıncılık, 2022.
Weekly Detailed Course Contents
Week 1 - Theoretical
Elementary matrix algebra
Week 2 - Theoretical
Physical applications of basic matrix algebra
Week 3 - Theoretical
Introduction to vector spaces and subspaces
Week 4 - Theoretical
Linear independence and basis transformation
Week 5 - Theoretical
Linear transformations and linera operators
Week 6 - Theoretical
The concepts of inner product and norm
Week 7 - Theoretical
Gram-Schmidt orthogonalization and projections
Week 8 - Theoretical
Dual spaces and Bra-Ket notation (Midterm)
Week 9 - Theoretical
Eigenanalysis
Week 10 - Theoretical
Diagonalization
Week 11 - Theoretical
Physical application: Normal modes and coupled oscillators
Week 12 - Theoretical
Function spaces and Fourier harmonic analysis
Week 13 - Theoretical
Tensor product and multi-particle systems
Week 14 - Theoretical
Singular value decomposition
Assessment Methods and Criteria
Type of AssessmentCountPercent
Attending Lectures14%5
Quiz2%5
Midterm Examination1%30
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Quiz24010
Midterm Examination122224
Final Examination122224
TOTAL WORKLOAD (hours)100
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
OÇ-1
5
5
4
3
OÇ-2
4
5
5
3
OÇ-3
4
4
3
OÇ-4
5
5
4
OÇ-5
4
4
5
5
3
OÇ-6
5
5
4
OÇ-7
4
4
3
4
4
5
Adnan Menderes University - Information Package / Course Catalogue
2026