NUMERICAL ANALYSIS

MAK218

Course Code: MAK218
Semester: Fourth Term (Spring)
Theory+Practice: 3 + 1
ECTS: 4

Course Type

Compulsory Course

Course Level

Bachelor's Degree

Year of Study

Semester

Fourth Term (Spring)

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

Ability to solve complex engineering equations numerically.
Numerical analysis of sets of equations of linear or non-linear problems
The ability to determine and analyze the behavior of obtained experimental data.
Obtaining approximate solutions to mechanical engineering problems by using simple function fittings instead of complex functions.

Mode of Delivery

Face to face

Prerequisites

Yes(MAT209)

Recommended Optional Programme Components

None

Course Description

Modeling, Truncation and rounding errors. Taylor series. Roots of equations: Bracketing and Open methods. Matrices. Solutions of linear algebraic equations; Gauss elimination and decomposition methods. Special matrices and methods for matrix inversion. Solutions of nonlinear system of equations. Curve fitting; least square approximation, Interpolation. Numerical differentiation and integration.

Course Contents

WEEK	TOPICS
1^st Week	Introduction to numerical analysis, iterations, errors, decimal places
2^nd Week	Roots of equations, bracketing methods
3^rd Week	Roots of equations, open methods
4^th Week	Solutions of linear algebraic equations, Gauss elimination
5^th Week	Solutions of linear algebraic equations, LU decomposition
6^th Week	Solutions of nonlinear algebraic equations, Jacobian matrice,Gauss-Seidel
7^th Week	Numerical solution of eigenvalue and eigenvector problems, Power method
8^th Week	Least square approximation
9^th Week	Interpolation, Newton and Lagrange polynomial
10^th Week	Numerical differentiation
11^th Week	Numerical integration, trapezoid ve Simpsons methods
12^th Week	Method of undetermined coefficients, Gaussian Quadrature
13^th Week	Numerical solutions of ordinary differential equations, initial values
14^th Week	Numerical solutions of ordinary differential equations, boundary values

Recommended or Required Reading

S.C. Chapra, R.P. Canale, Mühendisler İçin Sayısal Yöntemler
J.D. Hoffman, Numerical Methods for Engineers and Scientists

Planned Learning Activities and Teaching Methods

Lecture
Questions/Answers
Problem Solving

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	35
Assignment	2	5
Quiz	4	15
Total(%)		55
Contribution of In-term Studies to Overall Grade(%)		55
Contribution of Final Examination to Overall Grade(%)		45
Total(%)		100

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm exam	1	2	2
Preparation for Quiz	4	1	4
Individual or group work	14	0.5	7
Preparation for Final exam	1	20	20
Course hours	14	4	56
Preparation for Midterm exam	1	12	12
Laboratory (including preparation)
Final exam	1	2.5	2.5
Homework	2	8	16
Quiz	4	0.5	2
Total Work Load			121.5
Total Work Load / 30 (h)			4.05
ECTS Credit of the Course			4

Language of Instruction

English

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3	LO4
K1	X	X	X	X
K2	X	X	X	X
K3
K4
K5			X	X
K6
K7
K8
K9
K10
K11