TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	2
SEMESTER	Fourth Term (Spring)
NUMBER OF ECTS CREDITS ALLOCATED	5
NAME OF LECTURER(S)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Comprehend the definitions of vector spaces and subvector spaces. 2) Comprehend the need of special spaces in order to work in some advanced areas of mathematics. 3) Define transforms between the spaces that he/she works with, depending on the structure of the spaces. and study their properties 4) Investigated the properties of trhe special transforms.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	No
COURSE DEFINITION	Vector spaces, subspaces, linear independence, linear combinations; stretching, basis and dimension; linear transformations, kernel and image of a linear transformation; isomorphies, eigenvalues and eigenvectors; characteristic polynomials, diagonalisation, inner product spaces, orthogonality of vectors, orthonormal vector sets.
COURSE CONTENTS	WEEK TOPICS 1st Week Vector spaces - Subspaces 2nd Week Linear combinations 3rd Week Linear independence 4th Week Some and Dimension of Vector Space 5th Week Some and Dimension of Vector Space 6th Week Linear transformations 7th Week Kernel and image of linear transformation 8th Week Midterm exam 9th Week Matrix representation of linear transformation 10th Week Characteristic equation and polynomial of a matrix, Eigenvalues and eigenvectors 11th Week Diagonalisation 12th Week Inner product spaces and Norm 13th Week Orthagonality 14th Week Orthogonal and orthonormal basis
RECOMENDED OR REQUIRED READING	D. Taşcı, Lineer Cebir, Öziş Matbacılık, 2017
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Problem Solving
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Total(%) 40 Contribution of In-term Studies to Overall Grade(%) 40 Contribution of Final Examination to Overall Grade(%) 60 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 1,5 1,5 Preparation for Quiz Individual or group work 13 4 52 Preparation for Final exam 1 25 25 Course hours 13 3 39 Preparation for Midterm exam 1 25 25 Laboratory (including preparation) Final exam 1 2 2 Homework Total Workload 144,5 Total Workload / 30 4,81 ECTS Credits of the Course 5
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No