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  Course Description
Course Name : Numerical Methods İn Engineering

Course Code : INS214

Course Type : Compulsory

Level of Course : First Cycle

Year of Study : 2

Course Semester : Spring (16 Weeks)

ECTS : 5

Name of Lecturer(s) : Prof.Dr. HÜSEYİN R. YERLİ
Assoc.Prof.Dr. BEYTULLAH TEMEL

Learning Outcomes of the Course : Upon successfull completion of this course, the student;
1) describes the main logic of the numerical methods,
2) solves engineering problems by using the gained knowledge from this course,
3) defines and applies the appropriate numerical method for any engineering problem,
4) analyzes linear equation systems,
5) calculates numerical differentiation and numerical integral.

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites :

Recommended Optional Programme Components : None

Aim(s) of Course : The objective of this course is to teach the language of numerical methods, logic and introduction to mathematical calculations in engineering, and application of numerical methods into several science, industry and engineering problems.

Course Contents : Introduction to numerial methods; Error concept in numerical analysis; solution methods of nonlinear equations; solution of linear equation systems; solution methods of eigenvalue problems; approximate methods; interpolation, numerical integral, numerical differentiation.

Language of Instruction : Turkish

Work Place : Classroom


  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 Introduction, Error concept in numerical methods Lecture notes Explanation with 1. presentation
2 Nonlinear equation system, root of nonlinear equations Lecture notes Explanation with 2. presentation
3 Bisection method, Newton Raphson method Lecture notes Explanation with 3. presentation
4 Secant method, linear system of equations, direct methods Lecture notes Explanation with 4. presentation
5 Gauss Elimination method Lecture notes Explanation with 5. presentation
6 LU decomposition method Lecture notes Explanation with 6. presentation
7 Eigenvalue problems, solution by analytical method Lecture notes Explanation with 7. presentation
8 Midterm Exam
9 Force method for the biggest eigenvalues, Force method for the smallest eigenvalues Lecture notes Explanation with 8. presentation
10 Interpolation Lecture notes Explanation with 9. presentation
11 Interpolation polinomials Lecture notes Explanation with 10. presentation
12 Numerical Integral, Trapezoidal and Simpson methods Lecture notes Explanation with 11. presentation
13 Gaussian Quadrature Integration formulas Lecture notes Explanation with 12. presentation
14 Numerical Differentiation Lecture notes Explanation with 13. presentation
15 Numerical solutions of diferantial equaitons Lecture notes Explanation with 14. presentation
16/17 Final exam


  Required Course Resources
Resource Type Resource Name
Recommended Course Material(s)  1. Mühendisler için sayısal yöntemeler, H. Heperkan, U. Keskin , 2003.
 2. Sayısal Analiz, M. Bakioğlu, 2009.
 3. Saysal Çözümleme, Z. Aktaş, 1992.
Required Course Material(s)


  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 100
    Homeworks/Projects/Others 0 0
Total 100
Rate of Semester/Year Assessments to Success 40
 
Final Assessments 100
Rate of Final Assessments to Success 60
Total 100

  Contribution of the Course to Key Learning Outcomes
# Key Learning Outcome Contribution*
1 Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. 3
2 Identifies proper sources of information and databases, reaches them and uses them efficiently. 5
3 Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. 4
4 Uses the computers and information technologies related with civil engineering actively. 4
5 Gains the ability to communicate effectively both orally and in writing. 2
6 Communicates using technical drawing 0
7 Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. 2
8 Has an awareness of professional and ethical responsibility 5
9 Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. 3
10 Has the basic knowledge of math, science and civil engineering 4
11 Has a good commman of basic concepts, theories and principles in civil engineering. 5
12 Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions 3
13 Selects and uses the modern techniques and tools necessary for engineering practice 3
14 Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments 2
15 Gains the abiltiy to work effectively as a member in interdisciplinary teams 5
16 Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. 0
17 Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements. 0
* Contribution levels are between 0 (not) and 5 (maximum).

  Student Workload - ECTS
Works Number Time (Hour) Total Workload (Hour)
Course Related Works
    Class Time (Exam weeks are excluded) 14 4 56
    Out of Class Study (Preliminary Work, Practice) 14 4 56
Assesment Related Works
    Homeworks, Projects, Others 0 0 0
    Mid-term Exams (Written, Oral, etc.) 1 8 8
    Final Exam 1 10 10
Total Workload: 130
Total Workload / 25 (h): 5.2
ECTS Credit: 5