Course Information
Course Title Code Semester T + P ECTS
(Waiting for Translation) Numerical Analysis CIV222 4 2 + 1 3

Prerequisites

Language English
Level Bachelor's Degree
Type Compulsory
Coordinator Assoc.Prof. İSMAİL HAKKI ÖZÖLÇER
Instructors Assoc.Prof. İSMAİL HAKKI ÖZÖLÇER
Goals This lecture aims to introduce numerical methods for solution of engineering problems, to teach effective and well-known elementary solution techniques with applications, to develop computer programming skills in solution of numeric problems and to gain proficiency in general programming algorithm.
Contents Modeling techniques for engineering problems, Introduction to programming and software algorithms, Open methods in finding roots of equation, Solution methods of linear equations and matrix algebra, Curve fitting, Least squares regression, Interpolation, Numerical integration techniques, Solution techniques of initial and boundary value problems and engineering applications
Work Placement(s) Absent

Number Learning Outcomes
1 Roots of nonlinear equations.
2 Solution of linear set of equations.
3 Roots of polynomials.
4 Solution techniques of numerical integration
5 Numerical solution of ordinary differential equations.
6 Numerical solution of boundary value problems.
7 Numerical solution of initial value problems.
8 Basics of MATLAB in numerical analysis.

Mode of Delivery Face-to-Face
Planned Learning Activities & Teaching Methods Teaching, question&answer, practice.
Assessment Methods Midterm and final exams.



Course Content
Week Topics Study Materials
1 To solve engineering problems and mathematical modeling
2 Introduction to programming and software algorithms : MATLAB (general usage)
3 Open methods in finding roots of equation (Iterations, Newton-Raphson method, Secant method, Double roots, Nonlinear equations )
4 Solution methods of linear equations and matrix algebra (Gauss elimination, Cramer, Matris Inversions)
5 Roots of Polynomials (Classic methods, Muller methods, Bairstow methods, etc.), Curve fitting, Least square regressions, Interpolation
6 Solution techniques of numerical integration (Trapezoidal methods, Simpson methods)
7 Numerical solutions of ordinary differential equations (Euler methods, Runge-Kutta methods)
8 Boundary value problems
9 Boundary value problems and engineering applications
10 Initial value problems (Eigen value problems and stress analysis )
11 Application of initial value problems
12 Numerical solution of vibration problems
13 Introduction to finite difference methods in solution of partial differential equations



Sources
Textbook Lecture note
Additional Resources Heperkan, H., Kesgin, U., Mühendisler için Sayısal Yöntemler, Literatür, 2003 S. Nakamura, Applied Numerical Methods with Software, 1991 C. Bajpai, L. R. Mustoe, D. Walker, Advanced Engineering Mathematics, Second Edition, John Wiley and Sons, 1990. W. Al-Khafaji, J.R. Tooley, Numerical Methods in Engineering Practice, 1986. C. R. Wylie, L. C. Barrett, Advanced Engineering Mathematics, Fifth Edition, Mc Graw-Hill Book Company, 1985. T. Young, Numerical Methods for Civil and Mechanical Engineers, Lecture Notes, Ohio University, 2007.



Assessment System Quantity Percentage
In-Term Studies
Mid-terms 1 80
Quizzes 1 10
Assignments 1 10
In-Term Total 3 100
Contribution of In-Term Studies to Overall 40
Contribution of Final Exam to Overall 60
Total 100





Course's Contribution to PLO
No Key Learning Outcomes Level
1 2 3 4 5
1 Has the sufficient background on mathematics, science and engineering in his own branch. x
2 Makes use of conceptual and applied knowledge in mathematics, science and in his own area in accordance for engineering solutions. x
3 Determines, defines, formulates and solves problems in engineering; fort his aim selects and applies the appropriate analytical models and modeling techniques. x
4 Analyses a system, system component or process and in order to meet the requirements, designs under realistic conditions; thus applies modern techniques of design. x
5 Selects and uses modern techniques and devices necessary for engineering applications. x
6 Designs and carries out experiments, collects data, analyzes and comments on the findings. x
7 Works effectively and individually on multi disciplinary teams. x
8 Accesses knowledge, and to do this, does research, uses databases and other data sources. x
9 Is aware of the importance of lifelong learning; follows advances in science and technology and updates his knowledge continuously. x
10 Uses communication and information technology at least at advanced level of European Computer Driving License. x
11 Communicates effectively both orally and in writing; uses a foreign language at least at B1 level of European Language Portfolio. x



ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities Quantity Duration (Hour) Total Work Load (h)
Course Duration 14 3 42
Hours for off-the-classroom study (Pre-study, practice) 14 3 42
Assignments 1 5 5
Mid-terms 1 3 3
Final examination 1 3 3
Total Work Load (h) 95
Total Work Load / 30 (h) 3.17
ECTS Credit of the Course 3