Home
Bachelor's Degree
Civil Engineering
Course Structure Diagram with Credits
(Waiting for Translation) Numerical Analysis Course Details
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 wellknown 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  FacetoFace 
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, NewtonRaphson 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, RungeKutta 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. AlKhafaji, J.R. Tooley, Numerical Methods in Engineering Practice, 1986. C. R. Wylie, L. C. Barrett, Advanced Engineering Mathematics, Fifth Edition, Mc GrawHill Book Company, 1985. T. Young, Numerical Methods for Civil and Mechanical Engineers, Lecture Notes, Ohio University, 2007. 
Assessment System  Quantity  Percentage 

InTerm Studies  
Midterms  1  80 
Quizzes  1  10 
Assignments  1  10 
InTerm Total  3  100 
Contribution of InTerm 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 offtheclassroom study (Prestudy, practice)  14  3  42 
Assignments  1  5  5 
Midterms  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 