COURSE UNIT TITLE

: ABSTRACT MATHEMATICS I

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
OMT 1023 ABSTRACT MATHEMATICS I COMPULSORY 3 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASISTANT PROFESSOR HASIBE SEVGI MORALI

Offered to

Mathematics Teacher Education

Course Objective

Learning the mathematical language and fundamental concepts of abstract mathematics.

Learning Outcomes of the Course Unit

1   Understanding basic mathematical concepts
2   Understanding and using mathematical language
3   Understanding the meaning of proof and being able to use proof methods
4   Understanding the definitions and properties of mathematical logic and sets
5   Understanding the definitions and properties of relations

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Propositions
2 Mathematical proof
3 Dedactive proof methods
4 Counter examples
5 Sets and Operations
6 Family of sets
7 Cartesian products
8 Midterm
9 Relations
10 Equivalance relations
11 Ordered relations
12 Maximal, minimal, smallest, largest elements, sup, inf
13 Functions
14 Types of functions, onto , injective functions. Basic operations of functions
15 Final exam

Recomended or Required Reading

Çallıalp, F. , Örneklerle Soyut Matematik (3.Baskı), Istanbul, 1999.

Planned Learning Activities and Teaching Methods

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)

sevgi.morali@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
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 15 15
Preparation for final exam 1 20 20
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 102

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.15544
LO.24453
LO.34443
LO.44433
LO.54433