Course Details

NUMERICAL METHODS ENGINEERS

CE204

Course Information

Semester	Course Unit Code	Course Unit Title	T+P+L	Credit	Number of ECTS Credits	Last Updated Date
4	CE204	NUMERICAL METHODS ENGINEERS	3+0+0	3	6	16.06.2026

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 both student and civil engineers for their future careers to be able to realize the need for numerical methods and understand their capabilities and weaknesses. During this course, the students will practice algorithmic thinking by using the fundamental numerical techniques in engineering calculations. In addition, they will learn how to implement the numerical methods by using MATLAB and they will be aware of its built-in functionalities.
Course Methods and Techniques	Learners will be provided with as much opportunities of hands-on practice as possible with the aim of striking a balance between learner-centeredness and sufficient guidance. Flipped learning methodology is also applied during some semesters if the conditions available. A flipped classroom that is a teaching strategy but reverses the traditional learning environment by delivering instructional content outside of the classroom is designed for learners. Learners will be provided with as many opportunities of hands-on practice as possible with the aim of improving a learner-centeredness model by sufficient guidance. Various forms of interaction (i.e. asking questions, individual work and group work) will also be encouraged to cater for learners with different learning styles. Additionally, learners will be expected to produce both in-class and out of class activities 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.
Prerequisites and co-requisities	None
Course Coordinator	None
Name of Lecturers	Research Assist.Dr. Hürmet KÜÇÜKGÖNCÜ https://avesis.agu.edu.tr/hurmet.kucukgoncu 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

Course Notes

You must have a stable computer and MATLAB software in your computer
also you must access to CANVAS.

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	14	% 35
Yarıl yılSonu Sınavı/Dönem Projesinin Başarı Notuna Katkısı	1	% 15
Quiz/Küçük Sınav	2	% 10
Final examination	1	% 40
Total	18	% 100

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration	Total Work Load
Belirsiz	8	6	48
Yazılı Sınav	1	10	10
Sınıf İçi Aktivitesi	14	3	42
Soru Çözümü	6	8	48
Kısa Sınav	3	5	15
Final Sınavı	1	20	20
Total Work Load			Number of ECTS Credits 6 183

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:

No	Learning 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, Fixed Point, Secant, and Newton methods.
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 applications.

Weekly Detailed Course Contents

Week	Topics	Study Materials	Materials
1	Introduction to Numerical Methods Mathematical Modeling for solving problems, Error in numerical analysis	-	-
2	Solution of Nonlinear Equations: Root Findings: Fixed point iteration, Bisection Method, Secant method, Introduction to Computer Arithmetic, Using Software Solution of Nonlinear Equations: Root Findings: Fixed point iteration, Bisection Method, Secant method,	-	-
3	Solution of Nonlinear Equations: Root Findings: Newton’s method; Using Software. Solution of Nonlinear Equations	-	-
4	Solving Systems of Linear Equations: Cramer method Solving Sets of Equations: Gauss elimination method, Gauss-Jordan elimination method, Iterative methods, Jacobi iteration, Gauss-Seidel iteration	-	-
5	Solving Sets of Equations: Gauss elimination method, Gauss-Jordan elimination method, Iterative methods, Jacobi iteration, Gauss-Seidel iteration Solving System of Nonlinear Equations: Newton-Raphson method; Using Software	-	-
6	Solving System of Nonlinear Equations: Newton-Raphson method; Interpolation polynomials and Approximating Functions	-	-
7	Interpolation polynomials and Approximating Functions Approximating Functions: Divided Differences: Forward, backward, and central differences	-	-
8	Approximating Functions: Divided Differences: Forward, backward, and central differences (Lecture Free Week*) Approximating Functions: Divided Differences: Forward, backward, and central differences	-	-
9	Approximating Functions: Divided Differences: Forward, backward, and central differences Curve Fitting	-	-
10	Numerical Integration	-	-
11	Numerical Integration	-	-
12	Numerical Integration	-	-
13	Numerical Solution of Ordinary Differential Equations (ODEs)	-	-
14	Numerical Solution of Ordinary Differential Equations (ODEs)	-	-

Contribution of Learning Outcomes to Programme Outcomes

	P1	P2	P4
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=79034&lang=en

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