PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 207	LINEAR ALGEBRA - I	3 + 2	3rd Semester	8

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The aim of this course is to study the systems of linear equations by means of matrix approximation.
Course Content	Vectors in Rn and Cn , Linear Equations, Matrices, Vector Spaces and Subspaces, Basis and Dimensions, Linear Mapping, Matrix Representations of Linear Mapping.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Learns the vectors on Rn and Cn, learns the summation and product of a vector with a scalar.
2	Learns the lnear equations and solution methods of linear equation systems.
3	Learns the matrices and matrix operations, solves the system of linear equations by the help of the matrices.
4	Learns the vector spaces and Subspaces.
5	Learns the concept of the base, dimensio and base of a vector space.
6	Realizes the linear transformations.
7	Learns the impressons oflinear transformations by matrices and makes the operations with matrices.

COURSE'S CONTRIBUTION TO PROGRAM

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	5	70
Mid-terms	1	62	62
Final examination	1	76	76
Total Work Load ECTS Credit of the Course			208 8

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 207	LINEAR ALGEBRA - I	3 + 2	1	Turkish	2021-2022 Fall

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. CANAN CELEP YÜCEL	ccyucel@pau.edu.tr		FEN A0216 FEN A0315	%70

Goals		The aim of this course is to study the systems of linear equations by means of matrix approximation.
Content		Vectors in Rn and Cn , Linear Equations, Matrices, Vector Spaces and Subspaces, Basis and Dimensions, Linear Mapping, Matrix Representations of Linear Mapping.

Topics

Weeks	Topics
1	Definition of Matrice, Matrice Operations
2	Special Types of Matrices
3	Elementary operations and Elementary Matrices
4	Linear Equation and Systems of Linear Equations
5	Systems of Linear Equations
6	Determinants and Cramer's Rule
7	Vectors Spaces and Subspaces
8	Linear combination of vectors
9	Linear Dependence, Linear Independence, Basis and Dimensions
10	Row and Column Spaces of Matrices
11	Vector Coordinates with respect to a Basis
12	Linear Mappings
13	The inverse of a linear transformation
14	Matrix Representations of Linear Mappings

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