Course Name Code Semester T+U Hours Credit ECTS
Numerical Analysis MAT 216 4 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Prof.Dr. UĞUR ARİFOĞLU
Course Lecturers Prof.Dr. UĞUR ARİFOĞLU, Dr.Öğr.Üyesi GÖKÇEN ÇETİNEL,
Course Assistants
Course Category Available Basic Education in the Field
Course Objective Providing numeric solutions methods and algorithms to solve engineering problems in computer. Providing compex analysis.
Course Content Importance of the algorithm on the numerical calculations. Subunits of the algorithms. Matrix and matrix calculations. Solution methods of the linear equations systems. Solution methods of the nonlinear equations systems. Curve fitting methods, interpolation methods and extrapolation methods. Numerical methods of derivation. Numerical methods of integration. Numerical methods of differantation equations, complex series, trigonometric functions on complex plane, finding complex roots, Cauchy-Riemann equations, continuity, convergency, unconvergency, limit, derivations, integrals, residues
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Having skills of how the whole calculations using hand in theorical lessons are carried on the computer and how the problems are solved by the computer. Lecture, Question-Answer, Problem Solving, Testing, Homework,
2 Comprehending that numeric solution methods absolutely have a structure of algorithm. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing,
3 Comprehending the importance of computer languages on the engineering applications. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
4 Comprehending differences between complex plane and real plane.
Week Course Topics Preliminary Preparation
1 Introduction to numerical analysis. Logical of the algorithm. Introduction to complex analysis (on the chartezian coordinates)
2 Forming of algorithm and introduce of subunits of algorithm. Complex numbers on polar coordinates
3 Matrix and matrix calculations, trigonometric functions on complex plane.
4 Matrix and matrix calculations (continue)., logaritmic functions on complex plane, power of complex numbers, finding complex roots
5 Solution methods of the linear equations systems, geometric meaning of complex numbers, complex series.
6 Solution methods of the nonlinear equations systems, convergency and unconvergenc of complex series, Cauchy theorem.
7 Solution methods of the nonlinear equations systems (continue), limit of complex series, continuity on complex plane
8 Curve fitting methods, interpolation methods and extrapolation methods, conditions of derivation on complex plane
9 Curve fitting methods, interpolation methods and extrapolation methods (continue).Cauchy- Riemann equations,
10 Numerical methods of integration. Integration of complex functions
11 Numerical methods of integration. Integration of complex functions (continue)
12 Numerical methods of derivation, Cauchy integral formula
13 Numerical methods of differantation equations (continue). Cauchy derivation formula, Residue calculation
14 Application of Residue theorem to calculation of reel integrals
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. X
2 Ability to identify formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. X
3 Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues, according to the nature of the design.) X
4 Ability to devise, select, and use modem techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively. X
5 Ability to design and conduct experiments, gather data analyze and interpret results for investigating complex engineering problems or discipline specific research questions.
6 Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7 Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.
8 Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9 Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
10 Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
11 Knowledge about the global and social effects of engineering practice on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.
Evaluation System
Semester Studies Contribution Rate
1. Ödev 10
1. Ara Sınav 70
1. Kısa Sınav 10
2. Kısa Sınav 10
Total 100
1. Yıl İçinin Başarıya 40
1. Final 60
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 7 7
Quiz 2 10 20
Assignment 1 6 6
Final examination 1 5 5
Total Workload 150
Total Workload / 25 (Hours) 6
dersAKTSKredisi 6