Information Package / Course Catalogue
Numerical Methods
Course Code: ME309
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: English
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 5
Objectives of the Course

Basic understanding of numerical methods, to apply computing methods and programming to engineering problems, to have an ability to design and implement computer-based solution

Course Content

Mathematical modeling of engineering problems, Numerical solution of nonlinear single variable equation and system of linear and nonlinear equations. Curve fitting and interpolating polynomials. Numerical differentiation and integration. Numerical solution of ordinary differential equations. Optimization.

Name of Lecturer(s)
Lec. Orçun EKİN
Learning Outcomes
1.An ability to apply knowledge of mathematics, science, and engineering
2.An ability to identify, formulate, and solve engineering problems
3.An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
4.Ability to use of scientific methodology in approaching and producing solutions to engineering problems and needs
5.Ability to do engineering design.
6.Possession of written and oral communication skills
7.Ability to produce original solutions.
Recommended or Required Reading
1.Numerical Analysis, Timothy Sauer, 2nd Edition, Pearson.
Weekly Detailed Course Contents
Week 1 - Theoretical
Mathematical modeling of engineering problems: aim of the course, some concepts in approximations. The errors due to chopping, rounding, truncation.
Week 2 - Theoretical
Solution of nonlinear equations: graphical method, bracketing methods (bisection and falseposition methods); open methods (simple fixed-point iteration, Newton-Raphson and secant methods).
Week 3 - Theoretical
Solution of nonlinear equations: graphical method, bracketing methods (bisection and falseposition methods); open methods (simple fixed-point iteration, Newton-Raphson and secant methods).
Week 4 - Theoretical
Solution of nonlinear equations: graphical method, bracketing methods (bisection and falseposition methods); open methods (simple fixed-point iteration, Newton-Raphson and secant methods).
Week 5 - Theoretical
System of nonlinear equations (simple fixed-point iterations, Newton’s method).
Week 6 - Theoretical
lineer denklem sisteminin çözümü: doğrudan yöntemler ( Gauss eliminasyon yöntemleri , LU ayrıştırma yöntemi , kötü durumdaki sistemler ve dönme stratejileri ) , dolaylı yöntemler : ( Jacobi ve Gauss Seidel yöntemleri)
Week 7 - Theoretical
Solution of linear system of equations: direct methods (Gauss elimination methods, LU decomposition method, ill-conditioned systems and pivoting strategies), indirect methods: (Jacobi and Gauss Seidel methods)
Week 8 - Intermediate Exam
Approximation of functions: Least-squares regression, interpolation (Newton and Lagrange interpolating polynomials), Midterm
Week 9 - Theoretical
Approximation of functions: Least-squares regression, interpolation (Newton and Lagrange interpolating polynomials)
Week 10 - Theoretical
Numerical differentiation and numerical integration (trapezoidal and Simpson's rules and Gauss quadrature)
Week 11 - Theoretical
Numerical differentiation and numerical integration (trapezoidal and Simpson's rules and Gauss quadrature)
Week 12 - Theoretical
Numerical solution of ordinary differential equations: initial value problems (Taylor, Euler and Runge-Kutta methods), boundary value problems (shooting and finite difference methods).
Week 13 - Theoretical
Numerical solution of ordinary differential equations: initial value problems (Taylor, Euler and Runge-Kutta methods), boundary value problems (shooting and finite difference methods).
Week 14 - Theoretical
Numerical solution of ordinary differential equations: initial value problems (Taylor, Euler and Runge-Kutta methods), boundary value problems (shooting and finite difference methods).
Week 15 - Final Exam
Final Examination
Week 16 - Final Exam
Final Examination
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%50
Assignment5%20
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment54020
Individual Work143042
Midterm Examination1729
Final Examination18210
TOTAL WORKLOAD (hours)123
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
OÇ-1
4
5
4
3
4
5
4
OÇ-2
4
5
4
3
5
4
3
OÇ-3
3
4
5
5
5
4
5
OÇ-4
4
4
4
5
5
4
5
OÇ-5
5
5
5
4
5
5
5
OÇ-6
4
3
3
4
5
4
5
OÇ-7
4
3
3
4
3
4
5
Adnan Menderes University - Information Package / Course Catalogue
2026