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Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Civil Engineering
Course Details
Course Code Course Name Year Period Semester T+A+L Credit ECTS
05350012 Numerical Methods for Engineers 2023 Autumn 5 2+2+0 3 3
Course Type Compulsory
Course Cycle Bachelor's (First Cycle) (TQF-HE: Level 6 / QF-EHEA: Level 1 / EQF-LLL: Level 6)
Course Language English
Methods and Techniques -
Mode of Delivery Face to Face
Prerequisites -
Coordinator -
Instructor(s) Asst. Prof. Esra URAY
Instructor Assistant(s) -
Course Instructor(s)
Name and Surname Room E-Mail Address Internal Meeting Hours
Asst. Prof. Esra URAY A-Z33 [email protected] 7312
Course Content
To teach numerical methods for solving linear and nonlinear systems of equations, numerical differentiation, numerical integration, ordinary and partial differential equations; how to formulate and solve solid, fluid and thermal engineering problems; and programming of numerical methods.
Objectives of the Course
The primary objective of this course is to introduce the student to numerical calculation methods and its role in civil engineering problem-solving.
Contribution of the Course to Field Teaching
Basic Vocational Courses
Specialization / Field Courses X
Support Courses
Transferable Skills Courses
Humanities, Communication and Management Skills Courses
Relationships between Course Learning Outcomes and Program Outcomes
Relationship Levels
Lowest Low Medium High Highest
1 2 3 4 5
# Program Learning Outcomes Level
P1 Adequate knowledge in mathematics, science and related engineering discipline accumulation; theoretical and practical knowledge in these areas, complex engineering the ability to use in problems 5
P2 Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. 5
Course Learning Outcomes
Upon the successful completion of this course, students will be able to:
No Learning Outcomes Outcome Relationship Measurement Method **
O1 Performs regression operations for a certain data set or has information about solving numerical integration. P.1.66 1
O2 Knows how to apply numerical computation methods to engineering problems or to use modern solution techniques for simple operations. P.1.67 1
O3 Evaluates the errors obtained in numerical calculation and calculates statistical concepts P.1.68 1
O4 Solves linear, nonlinear systems of equations or finds roots of equations and polynomials P.2.16 1
** Written Exam: 1, Oral Exam: 2, Homework: 3, Lab./Exam: 4, Seminar/Presentation: 5, Term Paper: 6, Application: 7
Weekly Detailed Course Contents
Week Topics
1 Introduction; overview of numerical methods, their application in engineering.
2 Sources of error: rounding and truncation errors, absolute/relative error, significant figures.
3 Statistical concepts; error propagation and analysis.
4 Nonlinear equation roots I: bisection, regula-falsi
5 Nonlinear equation roots II: Newton-Raphson, secant, fixed point
6 Determining the roots and extremum points of a polynomial.
7 Linear equation systems I: Gaussian elimination, LU decomposition
8 Systems of Linear Equations II: Jacobi, Gauss-Seidel
9 Curve fitting and regression I: least squares, linear regression
10 Regression II: Multiple/Non-Linear Regression and Interpolation
11 Numerical Integration I: Trapezoid and Simpson's Rules
12 Digital Integration II and Engineering Applications
13 Numerical solution of complex engineering problems; general evaluation.
14 Optimization methods
Textbook or Material
Resources Sayısal Yöntemler ve Matlab Uygulamalarınobel akademik yayıncılık Nurhan Karaboğa
Numerical Methods for Engineers-Steven C. Chapra, Raymond Canale-McGraw-Hill Education
Evaluation Method and Passing Criteria
In-Term Studies Quantity Percentage
Attendance - -
Laboratory - -
Practice - -
Homework 1 30 (%)
Presentation - -
Projects - -
Quiz - -
Midterms 1 30 (%)
Final Exam 1 40 (%)
Total 100 (%)
ECTS / Working Load Table
Quantity Duration Total Work Load
Course Week Number and Time 14 2 28
Out-of-Class Study Time (Pre-study, Library, Reinforcement) 14 2 28
Midterms 1 14 14
Quiz 0 0 0
Homework 4 5 20
Practice 14 2 28
Laboratory 0 0 0
Project 0 0 0
Workshop 0 0 0
Presentation/Seminar Preparation 0 0 0
Fieldwork 0 0 0
Final Exam 1 2 2
Other 0 0 0
Total Work Load: 120
Total Work Load / 30 4
Course ECTS Credits: 4
Course - Learning Outcomes Matrix
Relationship Levels
Lowest Low Medium High Highest
1 2 3 4 5
# Learning Outcomes P1 P2
O1 Performs regression operations for a certain data set or has information about solving numerical integration. 5 -
O2 Knows how to apply numerical computation methods to engineering problems or to use modern solution techniques for simple operations. 5 -
O3 Evaluates the errors obtained in numerical calculation and calculates statistical concepts 5 -
O4 Solves linear, nonlinear systems of equations or finds roots of equations and polynomials - 5