CEN204 Numerical Analysis

6 ECTS - 3-0 Duration (T+A)- 4. Semester- 3 National Credit

Information

Code CEN204
Name Numerical Analysis
Term 2024-2025 Academic Year
Semester 4. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language İngilizce
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. ZEKERİYA TÜFEKCİ
Course Instructor
1 2
Prof. Dr. ZEKERİYA TÜFEKCİ (A Group) (Ins. in Charge)


Course Goal / Objective

To introduce students to techniques for the numerical approximation of mathematical problems, and to the analysis of these techniques.

Course Content

Surveys and applications of numerical techniques related to matrix inversion, systems of linear equations and optimization, finite difference expressions, interpolation and approximation, numerical differentiation and integration.

Course Precondition

no prerequisites

Resources

Numerical Analysis David Kincaid Ward Cheney

Notes

Numerical Analysis Timothy Sauer


Course Learning Outcomes

Order Course Learning Outcomes
LO01 perform an error analysis for various numerical methods
LO02 Solve an algebraic equation using an appropriate numerical method.
LO03 Solve a linear system of equation using an appropriate numerical method.
LO04 Approximate a function using a numerical method.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Adequate knowledge of mathematics, science and related engineering disciplines; ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. 4
PLO02 Bilgi - Kuramsal, Olgusal Ability to identify, formulate and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. 5
PLO03 Bilgi - Kuramsal, Olgusal Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. 3
PLO04 Bilgi - Kuramsal, Olgusal Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. 4
PLO05 Bilgi - Kuramsal, Olgusal Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. 2
PLO06 Bilgi - Kuramsal, Olgusal Ability to work effectively in interdisciplinary and multidisciplinary teams; individual working skills.
PLO07 Bilgi - Kuramsal, Olgusal Ability to communicate effectively verbally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. 2
PLO08 Bilgi - Kuramsal, Olgusal Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself. 4
PLO09 Bilgi - Kuramsal, Olgusal Knowledge of ethical principles, professional and ethical responsibility, and standards used in engineering practice.
PLO10 Bilgi - Kuramsal, Olgusal Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. 2
PLO11 Bilgi - Kuramsal, Olgusal Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions. 3


Week Plan

Week Topic Preparation Methods
1 Computer arithmetic Reading the lecture notes Öğretim Yöntemleri:
Anlatım
2 Floating Point Numbers and Roundoff Errors Reading the lecture notes Öğretim Yöntemleri:
Anlatım
3 Absolute and Relative Errors Reading the lecture notes Öğretim Yöntemleri:
Anlatım
4 Solutions of nonlinear equations Reading the lecture notes Öğretim Yöntemleri:
Anlatım
5 Bisection Method Reading the lecture notes Öğretim Yöntemleri:
Anlatım
6 Newton's Method Reading the lecture notes Öğretim Yöntemleri:
Anlatım
7 Solutions of linear equations Reading the lecture notes Öğretim Yöntemleri:
Anlatım
8 Midterm exam Ölçme Yöntemleri:
Yazılı Sınav
9 Matrix algebra Reading the lecture notes Öğretim Yöntemleri:
Anlatım
10 The LU and Cholesky Factorizations Reading the lecture notes Öğretim Yöntemleri:
Anlatım
11 Pivoting and Constructing and Algorithm Reading the lecture notes Öğretim Yöntemleri:
Anlatım
12 Function approximations Reading the lecture notes Öğretim Yöntemleri:
Anlatım
13 Polynomial Interpolation Reading the lecture notes Öğretim Yöntemleri:
Anlatım
14 Divided Differences Reading the lecture notes Öğretim Yöntemleri:
Anlatım
15 Hermite Interpolation Reading the lecture notes Öğretim Yöntemleri:
Anlatım
16 Numerical Differentiation and Integration Reading the lecture notes Öğretim Yöntemleri:
Anlatım
17 Final Exam Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 11.05.2024 05:48