PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
IMO 2004	LINEAR ALGEBRA 2	2 + 0	4th Semester	2

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The students will get acquainted with the basic notions such as vector spaces, linear dependence, basis, dimension, inner product spaces, linear transformations, eigenvalues and eigenspaces, diagonalization of linear algebra.
Course Content	Vector spaces, sub spaces, linear independence, span, basis, dimension. Inner product spaces, orthogonal and orthonormal basis. Linear transformations, the kernel and range of a linear transformation. Eigenvalues and eigenvectors, characteristic polynomials, diagonalization of a matrix.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Show that a set of vectors is a basis for a vector space.
2	Find the transition matrix from one basis to another.
3	Find a basis for null, row and column space of a matrix.
4	Find the rank, nullity, dimension of row and column spaces of a matrix.
5	Show that a given formula defines or not an inner product.
6	Use the Gram-Schmidt process to constract an orthogonal or orthonormal basis for an inner product space.
7	Determine whether a function is a linear transformation.
8	Find a basis for the kernel (or range) of a linear transformation.
9	Find the eigenvalues and eigenvectors of a matrix.
10	Determine whether a given square matrix diagonalizable.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13	PO 14
LO 001	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 002	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 003	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 004	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 005	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 006	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 007	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 008	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 009	4	4	3	3	4	4	4	4	4	5	4	4	5	5
LO 010	4	4	3	3	4	4	4	4	4	5	4	4	5	5
Sub Total	40	40	30	30	40	40	40	40	40	50	40	40	50	50
Contribution	4	4	3	3	4	4	4	4	4	5	4	4	5	5

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	2	28
Hours for off-the-classroom study (Pre-study, practice)	7	1	7
Mid-terms	1	7	7
Final examination	1	10	10
Total Work Load ECTS Credit of the Course			52 2

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
IMO 2004	LINEAR ALGEBRA 2	2 + 0	1	Turkish	2023-2024 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Assoc. Prof. Dr. ALİ AYTEKİN	aaytekin@pau.edu.tr		EGT A0232-03	%70

Goals		The students will get acquainted with the basic notions such as vector spaces, linear dependence, basis, dimension, inner product spaces, linear transformations, eigenvalues and eigenspaces, diagonalization of linear algebra.
Content		Vector spaces, sub spaces, linear independence, span, basis, dimension. Inner product spaces, orthogonal and orthonormal basis. Linear transformations, the kernel and range of a linear transformation. Eigenvalues and eigenvectors, characteristic polynomials, diagonalization of a matrix.

Topics

Weeks	Topics
1	Vector spaces
2	Sub spaces
3	Sub spaces
4	Linear independence
5	Span, basis, dimension
6	Inner product spaces
7	Inner product spaces
8	Orthogonal and orthonormal basis
9	Linear transformations
10	Linear transformations
11	The kernel and range of a linear transformation
12	Eigenvalues and eigenvectors
13	Characteristic polynomials
14	Diagonalization of a matrix

Materials

Materials are not specified.

Resources

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student