Information Package / Course Catalogue
Numerical Analysis
Course Code: BYF654
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 2
Prt.: 1
Credit: 3
Lab: 0
ECTS: 5
Objectives of the Course

The course aims to cover the methods, theories and methods used in numeric analysis

Course Content

The scope of the course will cover problem definition and discussion on potential analysis approaches, finite element and boundary element analysis approaches, multidimensional signal acquisition, sampling theory, vectors, matrices and tensors, linear algebra, discrete Fourier transform and spectral analysis, wavelet transform and space-time analysis, filtering, detection theory, estimation theory, optimization theory. The topics are not limited and can be expanded as needed or based on the backgrounds of the students.

Name of Lecturer(s)
Learning Outcomes
1.To learn about biophysics problems solvable numerically but not analytically
2.To gain knowledge on numeric and symbolic programming with Mathematica and Matlab
3.To learn about multidimensional signal acquisition, sampling theory, linear algebra, vectors, matrices and tensors
4.To gain knowledge on discrete Fourier Transform and Analysis, Wavelet Transform and Analysis, Filtering
5.To gain knowledge on detection, estimation and optimization theories
Recommended or Required Reading
1.An Introduction to Numerical Analysis, Endre Süli, David Mayers, Cambridge University Press, 2003
Weekly Detailed Course Contents
Week 1 - Theoretical
Introduction to biophysics problems solvable numerically but not analytically
Week 2 - Theoretical
Introduction to biophysics problems solvable numerically but not analytically
Week 3 - Theoretical
Numeric and symbolic programming with Mathematica and Matlab
Week 4 - Theoretical
Examples demonstrating finite element and boundary element analysis concerning 1D, 2D and 3D problems
Week 5 - Theoretical
Examples demonstrating finite element and boundary element analysis concerning 1D, 2D and 3D problems
Week 6 - Theoretical
Over view of multidimensional signal acquisition, sampling theory, linear algebra, vectors, matrices and tensors
Week 7 - Theoretical
Over view of multidimensional signal acquisition, sampling theory, linear algebra, vectors, matrices and tensors
Week 8 - Intermediate Exam
Midterm exam
Week 9 - Theoretical
Over view of multidimensional signal acquisition, sampling theory, linear algebra, vectors, matrices and tensors
Week 10 - Theoretical
Discrete Fourier Transform and Analysis, Wavelet Transform and Analysis, Filtering
Week 11 - Theoretical
Discrete Fourier Transform and Analysis, Wavelet Transform and Analysis, Filtering
Week 12 - Theoretical
Discrete Fourier Transform and Analysis, Wavelet Transform and Analysis, Filtering
Week 13 - Theoretical
Discrete Fourier Transform and Analysis, Wavelet Transform and Analysis, Filtering
Week 14 - Theoretical
Detection, Estimation and Optimization Theories
Week 15 - Final Exam
Final exam
Assessment Methods and Criteria
Type of AssessmentCountPercent
Presentation1%2.5
Quiz1%2.5
Midterm Examination1%25
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory132252
Lecture - Practice132139
Presentation 1101
Reading7107
Quiz1101
Midterm Examination110212
Final Examination116218
TOTAL WORKLOAD (hours)130
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
PÇ-12
PÇ-13
PÇ-14
PÇ-15
PÇ-16
PÇ-17
PÇ-18
PÇ-19
PÇ-20
OÇ-1
5
5
5
5
5
2
3
3
3
3
3
3
3
3
5
2
2
2
4
5
OÇ-2
5
5
5
5
5
2
3
3
3
3
3
3
3
3
5
2
2
2
4
4
OÇ-3
5
5
5
5
5
2
3
3
3
3
3
3
3
3
5
2
2
2
4
4
OÇ-4
5
5
5
5
5
2
3
3
3
3
3
3
3
3
5
2
2
2
4
4
OÇ-5
5
5
5
5
5
3
3
3
3
3
3
3
3
3
5
2
2
2
4
5
Adnan Menderes University - Information Package / Course Catalogue
2026