ARCHITECTURE
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code	Course Name	Semester	Theoretical	Practical	Credit	ECTS
MATH3012	Numerical Analysis	Spring Fall	2	2	3	6

This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction:	English
Type of course:	Non-Departmental Elective
Course Level:	Bachelor’s Degree (First Cycle)
Mode of Delivery:	Face to face
Course Coordinator :
Recommended Optional Program Components:	None
Course Objectives:	Numerical Analysis is concerned with the mathematical derivation, description and analysis of obtaining numerical solutions of mathematical problems. We have several objectives for the students. Students should obtain an intuitive and working understanding of some numerical methods for the basic problems of numerical analysis. They should gain some appreciation of the concept of error and of the need to analyze and predict it. And also they should develop some experience in the implementation of numerical methods by using a computer.

Learning Outcomes

The students who have succeeded in this course;

The students who succeeded in this course;
o will be able to define Errors, Big O Notation, Stability and Condition Number, Taylor’s Theorem.
o will be able to solve Nonlinear Equations.
o will be able to solve Linear Systems.
o will be able to use Iterative Methods for Linear Systems.
o will be able to calculate Eigenvalues and Eigenvectors.
o will be able to solve System of Nonlinear Equations.
o will be able to calculate Interpolating and Polynomial Approximation.

Course Content

In this course the solution of linear and nonlinear systems will be discussed numerically. Also iterative methods for linear systems will be taught.

Weekly Detailed Course Contents

Week	Subject	Related Preparation
1)	Errors, Big O Notation, Stability and Condition Number, Taylor’s Theorem.
2)	The Solution of Nonlinear Equations in the form of f(x)=0: Bisection Method, Fixed Point Iteration.
3)	Newton-Rapson Method, Secant Method.
4)	The Solution of Linear System : Solving Triangular System, Gauss Elimination and Pivoting.
5)	LU Factorization, Tridiagonal System, Vector and Matrix Norms
6)	Sensitivity of Linear Equations. Condition Number and Stability.
7)	Iterative Methods for Linear Systems: Jacobi Method.
8)	Gauss Seidel Method. Diagonally Dominant Matrix. Errors in Solving Linear Systems.
9)	Eigenvalues and Eigenvectors: The Power Method. The Inverse Power Method.
10)	System of Nonlinear Equations: Newton’s Method.
11)	Interpolating and Polynomial Approximation: Lagrange interpolation polynomial, Newton Interpolation.
12)	Piecewise Linear Interpolation, Cubic Spline.
13)	Least Square Approximation: Curve Fitting.
14)	Inconsistent System of Equations. Errors in Interpolation .

Sources

Course Notes / Textbooks:	Numerical Methods Using MATLAB (Fourth Edition), John H. Mathews and Kurtis D. Fink, Pearson Prentice Hall
References:

Evaluation System

Semester Requirements	Number of Activities	Level of Contribution
Attendance	16	% 0
Laboratory	16	% 5
Quizzes	5	% 10
Midterms	2	% 45
Final	1	% 45
Total		% 105
PERCENTAGE OF SEMESTER WORK		% 60
PERCENTAGE OF FINAL WORK		% 45
Total		% 105

ECTS / Workload Table

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	16	3	48
Laboratory	14	1	14
Study Hours Out of Class	16	2	32
Quizzes	3	5	15
Midterms	2	5	10
Final	1	5	5
Total Workload			124

Contribution of Learning Outcomes to Programme Outcomes

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Using the theoretical/conceptual and practical knowledge acquired for architectural design, design activities and research.
2)	Identifying, defining and effectively discussing aesthetic, functional and structural requirements for solving design problems using critical thinking methods.
3)	Being aware of the diversity of social patterns and user needs, values and behavioral norms, which are important inputs in the formation of the built environment, at local, regional, national and international scales.
4)	Gaining knowledge and skills about architectural design methods that are focused on people and society, sensitive to natural and built environment in the field of architecture.
5)	Gaining skills to understand the relationship between architecture and other disciplines, to be able to cooperate, to develop comprehensive projects; to take responsibility in independent studies and group work.
6)	Giving importance to the protection of natural and cultural values in the design of the built environment by being aware of the responsibilities in terms of human rights and social interests.
7)	Giving importance to sustainability in the solution of design problems and the use of natural and artificial resources by considering the social, cultural and environmental issues of architecture.
8)	Being able to convey and communicate all kinds of conceptual and practical thoughts related to the field of architecture by using written, verbal and visual media and information technologies.
9)	Gaining the ability to understand and use technical information about building technology such as structural systems, building materials, building service systems, construction systems, life safety.
10)	Being aware of legal and ethical responsibilities in design and application processes.