COURSE SYLLABUS

ENGINEERING MATHEMATICS

1	Course Title:	ENGINEERING MATHEMATICS
2	Course Code:	INS2002
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	4
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	4
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	None
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. M.ÖZGÜR YAYLI
16	Course Lecturers:	Fen-Edebiyat Fakültesi Matematik Bölümü tüm öğretim üyeleri
17	Contactinformation of the Course Coordinator:	Prof.Dr. M. Özgür YAYLI ozguryayli@uludag.edu.tr
18	Website:
19	Objective of the Course:	To provide basic concepts of linear algebra and its application to engineering problems
20	Contribution of the Course to Professional Development	1 Be able to describe special type of matrices and vectors 2 Be able to characterize matrices and vectors properties 3 Be able to perform matrices and vectors operations such as addition, multiplication, inverse, etc. 4 Be able to recognize the difference between the algebraic and matrices operations. 5 Be able to establish set of system of equation if it is required at any of engineering problem 6 Be able to solve the system of equations and able to interpret the results.

Learning Outcomes:

1	Be able to describe special type of matrices and vectors;
2	Be able to characterize matrices and vectors properties;
3	Be able to perform matrices and vectors operations such as addition, multiplication, inverse, etc.;
4	Be able to recognize the difference between the algebraic and matrices operations.;
5	Be able to establish set of system of equation if it is required at any of engineering problem ;
6	Be able to solve the system of equations and able to interpret the results.;

22	Course Content:

Week	Theoretical	Practical
1	Matrices; Matrix Operations, Properties of Matrix Operations, Special Types of Matrices
2	Solving Linear Systems; Elementary Row and Column Operations; (reduced) Row Echelon Form of a Matrix; Gauss Elimination and Gauss-Jordan Method
3	Homogeneous Systems.
4	Elementary Matrices and Finding the Inverse of a Matrix by Using Elementary Operations
5	Determinants; Definition and Properties of Determinants
6	Cofactor Expansion; Finding Inverses by Using Cofactors
7	Cramer’s Rule. Rank of a Matrix
8	Vector Spaces: Definition; Subspaces
9	Span and Linear Independence
10	Basis and Dimensions
11	Eigenvalues and Eigenvectors of a Square Matrix
12	Diagonalization and the Cayley–Hamilton Theorem
13	Linear Transformation
14	Review of Basic Concepts

23	Textbooks, References and/or Other Materials:	B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course	Understanding the principles of applied mathematics used in the course
Information

ECTS / WORK LOAD TABLE

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High