COURSE UNIT TITLE

: LINEAR ALGEBRA II

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTÖ 2004 LINEAR ALGEBRA II COMPULSORY 3 0 0 8

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SÜHA YILMAZ

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION
ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

To develop the understanding of students about the concept and process of the linear algebra. At the end of this course students will attain the required knowledge of the linear algebra and solve the problems.

Learning Outcomes of the Course Unit

1   Students will be able to explain about inner product space and will be able to apply Gram-Schmidt process.
2   Students will be able to do determinant operations.
3   Students will be able to solve an equation system with Cramer rule.
4   Students will be able to find eigenvalues and eigenvectors of the matrix.
5   Students will be able to apply linear transformation.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Inner product spaces and Cauchy-Schwarz inequality
2 Orthogonality in R(n), orthogonal sets and bases
3 Projection and Gram-Schmidt operation
4 Orthogonal matrices, least squares and applications
5 Determinant
6 Properties of determinant
7 Determinant and linear equations, Cramer rule
8 Midterm exam
9 Eigenvalues and eigenvectors
10 Diagonal matrices
11 Linear transformations
12 Singular and nonsingular linear transformations
13 Matrices and linear operators
14 Change of basis and linear operators
15 Final exam

Recomended or Required Reading

Lineer Cebir Schaum's Outlines (2000), Seymour Lipschutz, Nobel Yayın Dağıtım-Teknik Kitaplar.

Planned Learning Activities and Teaching Methods

Direct Instruction, questioning, discovery learning

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FINS FINAL EXAM
3 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 +FINS * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST* 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

suha.yilmaz@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Theoretical 13 3 39
Pre Class Self Study 12 5 60
Midterm Preparation 1 20 20
Final Preparation 1 30 30
Homework preparation 5 6 30
Paper Preparation 3 4 12
Final Exam 1 1 1
Midterm Exam 1 1 1
TOTAL WORKLOAD (hours) 193

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.11
LO.21
LO.31
LO.41
LO.51