Ders Planı

CLASS 1

Lesson plan / NUMERICAL METHODS

Lesson Information

Course Credit	3.0
Course ECTS Credit	4.0
Teaching Language of Instruction	İngilizce
Level of Course	Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course	Compulsory
Mode of Delivery	Face-to-face
Does the course require compulsory or optional work experience?	Z
Course Coordinator	Assist. Prof. Dr. KÖKSAL MUŞ
Instructor (s)
Course Assistant

Purpose and Content

The aim of the course	Knowledge of fundamental algorithms in numerical mathematics, Knowledge of important algorithms and their applications such as Euclidean Algorithm, Ability to perform curve fitting and interpolation, Knowledge of error analysis, Ability to implement an algorithm in a predetermined accuracy level and interpret numerical results, Knowledge of the relation between some important mathematical algorithms and their efficient implementations.
Course Content	Error Analysis, Root finding, Solutions of systems of linear equations, Interpolation, Curve Fitting, Ordering, Division Algorithm, Euclidean Algorithm and Applications, Chinese Reminder Theorem and its Applications

The aim of the course

Knowledge of fundamental algorithms in numerical mathematics, Knowledge of important algorithms and their applications such as Euclidean Algorithm, Ability to perform curve fitting and interpolation, Knowledge of error analysis, Ability to implement an algorithm in a predetermined accuracy level and interpret numerical results, Knowledge of the relation between some important mathematical algorithms and their efficient implementations.

Course Content

Error Analysis, Root finding, Solutions of systems of linear equations, Interpolation, Curve Fitting, Ordering, Division Algorithm, Euclidean Algorithm and Applications, Chinese Reminder Theorem and its Applications

Learning Outcomes

Adequate knowledge in mathematics, physical sciences and the computer engineering subjects of individual branches; the ability to implement theoretical and practical knowledge in the respective areas to modeling and solving computer engineering problems.
Ability to reflect the developments in Information and Communication Technologies to the applications of Information Technology.
Ability to identify, define, formulate and solve complex computer engineering problems; ability to select and implement the appropriate analysis and modeling methods in this respect.
Ability to design experiments for analysing computer engineering problems, to conduct experiments, to collect data, to analyse and interpret the results.
Ability to design a complex informtacis system, process, device or product to meet specific requirements under realistic restrictions and conditions; ability to implement the modern design methods for this purpose.
Ability to use, choose and develop modern techniques and means required for computer engineering applications; ability to use information technologies effectively.
Ability to work effectively in interdisciplinary and multi-disciplinary teams; ability to work individually..
Knowledge of applications in business life like project management, risk management and change management; awareness about entrepreneurship, innovativeness and sustainable development.
Awareness of the necessity of lifelong learning; ability to reach information, follow the latest developments in science and technology; ability to ensure self-renewal perpetually.
Ability to communicate efficiently both in oral and written ways in Turkish; knowledge of at least one foreign language; ability to effectively prepare reports and understand written reports, prepare design and production reports, effective presentation, giving and receiving clear and understandable instructions.
Knowledge on the effects of informatics applications on health, environment and safety in terms of universal and social aspects and information about the problems of the era; awareness on the legal results of informatics solutions.
Acting in line with ethical principles, sense of professional and ethical responsibility; knowledge on the standards of engineering applications.

Weekly Course Subjects

1	IEEE Arithmetic
2	Error Analysis
3	Error Analysis
4	Roots of Equations:: Bisection method and Newton-Raphson Method
5	Polinom evaluation, deflation of polynoimials: Horner's method
6	Polinom evaluation, deflation of polynoimials: Horner's method
7	Solutions of system of linear equations: Cramer Rule and Gauss Elimination Method
8	Solutions of system of linear equations: using reduced echelon form and inverse matrix method
9	Midterm Exam
10	Interpolation
11	Curve Fitting
12	Ordering and Division Algorithms
13	Euclidean Algorithm and Applications
14	Chinese Reminder Theorem and Applications

Resources

1-Numerical Methods for Engineers, Sixth Edition 6th Edition by Steven Chapra, Raymond Canale
2-Introduction to Numerical Methods, Jeﬀrey R. Chasnov, The Hong Kong University of Science and Technology

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Lesson Information

Purpose and Content

Learning Outcomes

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