Course Name Code Semester T+U Hours Credit ECTS
Advanced Numerical Methods MEK 605 0 3 + 0 3 6
 Precondition Courses Recommended Optional Courses Course Language Turkish Course Level Doctorate Degree Course Type Optional Course Coordinator Doç.Dr. ERGÜN NART Course Lecturers Course Assistants Course Category Available Basic Education in the Field Course Objective Mathematical formulation of engineering problems is algebraic or differential forms of physical problems using certain assumptions. Analysis of these equations provides mathematical understanding of the physical phenomenon. In most of the cases, these analyses are performed numerically. Thus, this lecture aims at teaching all necessary numerical methods to engineering students. Course Content The lecture aims at basic numerical subjects such as error analysis, finding zeros, interpolation, solving of linear systems, numerical differentiation and integration. In addition, advanced methods about differential equation are given.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Finding of Zeros using numerical methods Lecture, Drilland Practice, Problem Solving, Testing, Homework,
2 Forming of Difference Tables Lecture, Drilland Practice, Problem Solving, Testing, Homework,
3 Performing of uniform and non-uniform interpolation calculations Lecture, Drilland Practice, Problem Solving, Testing, Homework,
4 Carrying out Numerical Differentiation Lecture, Drilland Practice, Problem Solving, Testing, Homework,
5 Carrying out Numerical Integration Lecture, Drilland Practice, Problem Solving, Testing, Homework,
6 Comprehension of Numerical Methods Used in Solution of Differential Eqn. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
7 Understanding of Numerical Methods Initial Value Type Ordinary Differential Equations Lecture, Drilland Practice, Problem Solving, Testing, Homework,
8 Understanding of Numerical Solution methods for Linear Equation Systems Lecture, Drilland Practice, Problem Solving, Testing, Homework,
9 Understanding of Numerical Solution methods for Partial Diff. Equations Lecture, Drilland Practice, Problem Solving, Testing, Homework,
10 Understanding of Numerical Solutions Methods of I. and II. order Quasi-Linear Differential Equations Lecture, Drilland Practice, Problem Solving, Testing, Homework,
11 Understanding of Numerical Solution methods for Hyperbolic Equations Lecture, Drilland Practice, Problem Solving, Testing, Homework,
12 Understanding of Numerical Solution methods for Parabolic Equations Lecture, Drilland Practice, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Scientific method and Mathematical Modeling, Root Finding
2 Difference Tables
3 Uniform Interval Interpolation
4 Non-Uniform Interval Interpolation
5 Numerical Differentiation
6 Numerical Integration
7 Boundary Value Ordinary Differential Equations
8 Initial Value Ordinary Differential Equations
9 Linear Equations Systems
10 Midterm Exam
11 Introduction to Partial Differential Equations
12 Classification of I. and II. order Quasi-Linear Differential Equations
13 Hyperbolic Equations
14 Parabolic Equations
Resources
Course Notes Advanced Numerical Methods, Walker, J.D.A., Lehigh University Ders Notları 1996
Course Resources Linear Numerical Analysis, Noel Gastinel, Academic Press, Inc. New York, 1970
Numerical Recipes in C , Press W.H., Teukolsky, S.A., Cambridge University Press, 1995
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Ability to access wide and deep information with scientific researches in the field of Engineering, evaluate, interpret and implement the knowledge gained in his/her field of study
2 Develop new strategic approach and produce solutions by taking responsibility in unexpected and complicated situations in mechatronic engineering
3 Aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, and announcement
4 Develop and use data processing and communication technologies together with the machine, electronic and computer software-hardware knowledge required by the field of mechatronic engineering expertise
5 Ability to complete and implement &quot;limited or incomplete data&quot; by using the scientific methods.
6 Ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them
7 Ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process
8 Ability to design and apply analytical, modeling and experimental based research, analyze and interpret the faced complex issues during the design and apply process
9 Gain high level ability to define the required information and data
10 Aware of new and developing application of profession and ability to analyze and study on those applications
11 Ability to interpret engineering applications social and environmental dimensions and it´s compliance with the social environment
12 At least be capable of oral and written communication in a foreign language
13 Ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations
14 Systematic and clear verbal or written transfer of the process and results of studies at national and international environments
15 Gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 50
1. Kısa Sınav 15
2. Kısa Sınav 15
1. Ödev 20
Total 100
1. Yıl İçinin Başarıya 40
1. Final 60
Total 100