COURSE UNIT TITLE

: LINEAR ALGEBRA I

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTÖ 2003 LINEAR ALGEBRA I COMPULSORY 3 0 0 8

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR ŞUUR NIZAMOĞLU

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 add, subtract, and multiply vectors.
2   Students will be able to apply various operations related to the matrix.
3   Students will be able to transform the matrix to row reduced form.
4   Students will be able to interpret the system of equation with two and three unknown as a geometric forms.
5   Students will be able to solve a system of equation with Gauss elemination and Gauss-Jordan methods.
6   Students will be able to explain to whether the vector space of a set and the subspaces.
7   Students will be able to explain linear independences, base and dimension and will be able to solve problems.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Vectors and various operations
2 Norm of vectors, Cauchy Schwarz inequality, angle between vectors
3 Matrix and matrix operations
4 The properties of the matrix
5 Powers of a matrix, singular matrix
6 Row and column operations
7 Applying about matrix
8 Midterm exam
9 Homogeneous linear equations
10 Non homogeneous linear equations
11 Vector spaces and subspaces
12 Vector spaces and subspaces
13 The size and base of a vector spaces
14 Linear combination and spanning, Linear equations and vector spaces
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

Midterm exam, paper/presentation and final exam

Language of Instruction

Turkish

Course Policies and Rules

Seventy percent of the course is obligatory to attend.

Contact Details for the Lecturer(s)

suur.noglu@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Pre Class Self Study 13 5 65
Preparation for midterm exam 1 25 25
Preparation for final exam 1 30 30
Homework preparation 4 8 32
Midterm 1 1 1
Final 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.1
LO.2
LO.3
LO.4
LO.5
LO.6
LO.73