Course Details

NUMERICAL METHODS FOR ENGINEERS

CE202

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Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS Credits
4CE202NUMERICAL METHODS FOR ENGINEERS3+0+034

Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program CIVIL ENGINEERING
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course -Teaching basic numerical methods for solving linear and nonlinear problems.
-Applying the knowledge of these methods in order to solve practical engineering problems.
-Implementing the numerical techniques in software (MATLAB) for engineering problems.
-Designing a mathematical model and build the algorithm on the computer.
Course Content This course is crucial for you as both student and civil engineers for your future career to be able to realize the need for numerical methods and understand their capabilities and weaknesses. During this course, you will practice algorithmic thinking by using the fundamental numerical techniques in engineering calculations. In addition, you will learn how to implement the numerical methods by using MATLAB and you will be aware of its built-in functionalities.
Course Methods and Techniques Learners will be provided with as much opportunities of making practice as possible with the aim of striking a balance between learner-centeredness and sufficient guidance via examples, homework, quizzes etc. Various forms of interaction (i.e. pair work and group work) will also be encouraged to cater for learners with different learning styles for active learning to take place. It is the students’ responsibility to participate actively in class practices on time. Additionally, individuals will be expected to produce both in-class writings and homework assignments in addition to the reading tasks, which will encourage them to reflect and think critically. Technology will also be incorporated into the classroom procedures in order to create a better learning environment especially during online teaching.
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Research Assist.Dr. HÜRMET KÜÇÜKGÖNCÜ hurmet.kucukgoncu@agu.edu.tr
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources -Numerical Methods for Engineers, McGraw-Hill, 6th edition by Chapra S. and Canale R.
Numerical Methods Using MATLAB®. 3rd ed. Upper Saddle River, NJ: Prentice Hall, 1998 by Mathews, J. H. and K. D. Fink.
Numerical Analysis: Pearson New International Edition, 2nd Edition by Timothy Sauer, George Mason University.
Numerical Methods for Engineers and Scientists, by A. Gilat & V. Subramaniam.
Applied Numerical Methods for Engineers and Scientists, by S.S. Rao
Applied Numerical Analysis, by C.F. Gerald & P.O. Wheatley
Numerical Mathematics and Computing, by W. Cheney & D. Kincaid
Required Textbook/s:
-Numerical Methods for Engineers, McGraw-Hill, 6th edition by Chapra S. and Canale R.
-Numerical Methods Using MATLAB®. 3rd ed. Upper Saddle River, NJ: Prentice Hall, 1998 by Mathews, J. H. and K. D. Fink.
Additional Resources:
-Numerical Analysis: Pearson New International Edition, 2nd Edition by Timothy Sauer, George Mason University.
-Numerical Methods for Engineers and Scientists, by A. Gilat & V. Subramaniam.
-Applied Numerical Methods for Engineers and Scientists, by S.S. Rao
-Applied Numerical Analysis, by C.F. Gerald & P.O. Wheatley
-Numerical Mathematics and Computing, by W. Cheney & D. Kincaid

Course Category
Mathematics and Basic Sciences %50
Engineering %50

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Yarıyıl İçi Çalışmalarının Başarı Notunun Katkısı 2 % 40
Final examination 1 % 30
Total
3
% 70

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Yazılı Sınav 2 12 24
Ev Ödevi 5 2 10
Kısa Sınav 4 1 4
Yüz Yüze Ders 3 14 42
Final Sınavı 1 30 30
Total Work Load   Number of ECTS Credits 4 110

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 compare the accurate and approximate results by making an Error Analysis to evaluate the accuracy of common numerical methods.
2 compute the roots of nonlinear equations by using Root Finding Methods such as Bisection Method, Fixed Point Method, Secant Method and Newton method.
3 apply the System of Linear and Nonlinear Equations, Interpolation, Approximation of Functions and Curve Fitting Methods on engineering problems.
4 solve the engineering problems by applying Numerical Integration and Differentiation and Ordinary Differential Equations (ODEs).
5 implement the algorithms of numerical methods by using MATLAB for engineering application.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Introduction to Numerical Methods Mathematical Modeling for Solving Problems Error in Numerical Analysis ALL
2 Solution of Nonlinear Equations: Root Findings: Fixed point iteration Method and Bisection Method Introduction to Computer Arithmetic ALL
3 Solutions of Nonlinear Equations :Root Findings: Secant Method and Newton Method ALL
4 Solving Systems of Linear Equations: Cramer Method Solving Sets of Equations: Gauss Elimination Method, LU Decomposition, Gauss-Jordan Elimination Method. ALL
5 Solving Sets of Equations: Iterative Methods: Jacobi Iteration Method, Gauss-Seidel Iteration Method ALL
6 Solving System of Nonlinear Equations: Newton- Raphson Method Interpolation Polynomials and Approximating Functions ALL
7 Approximating Functions: Divided Differences: Forward, Backward, and Central Differences ALL
8 Curve Fitting ALL
9 Numerical Integration ALL
10 Numerical Integration ALL
11 Numerical Differentiation ALL
12 Numerical Differentiation ALL
13 Numerical Solution of Ordinary Differential Equations (ODEs):Euler Method and Midpoint Method ALL
14 Numerical Solution of Ordinary Differential Equations (ODEs):Heun Method and Runge Kutta Method ALL


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 5 5 3
C1 5 5 3
C2 5 5 3
C3 5 5 3
C4 5 5 3
C5 5 5 3

Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant


https://sis.agu.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=70902&lang=en
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