COURSE UNIT TITLE

: ABSTRACT MATHEMATICS 1

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LME 1003 ABSTRACT MATHEMATICS 1 COMPULSORY 3 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR HASIBE SEVGI MORALI

Offered to

Mathematics Teacher Education

Course Objective

This course aim to teach symbolic logic and proof methods; sets, algebra of sets, family of sets, partition of sets, product sets; relations, inverse and conjugation, equivalence relations and equivalence classes, order relation, partially ordered sets, totally ordered sets; functionsone to one and onto functions, composition of functions, inverse of functions, permutations, operations.

Learning Outcomes of the Course Unit

1   To be able to understand and use logic and mathematics language. To know and apply proof methods.
2   To know sets and properties of sets, to prove related theorems, to be able to apply them.
3   To know the concept of relations and properties, to prove related theorems, to be able to apply them.
4   To be able to know the concept of functions and properties, to be able to make applications about these concepts, to prove the theorems about basic features of said concepts.
5   To learn the concept of operations, their properties, applications and solve problems.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Symbolic logic, properties, examples and exercises
2 Proof methods, properties, examples and exercises
3 Sets, set operations properties and proofs
4 Family of sets, partition of sets, product sets
5 Relations, properties and examples.
6 Equivalence relation, equivalence classes
7 Ordered relations, graphics, ordered sets
8 Course overview, evaluation, midterm examination
9 Functions, examples and exercises
10 One to one, onto functions, composition and inverse of functions, properties and proofs.
11 Permutations, properties, proofs.
12 Definition of operation, examples, exercises.
13 Properties of operations, exercises, proofs
14 General exercises, applications of proof techniques.
15 Final exam

Recomended or Required Reading

Çallıalp, F. , Örneklerle Soyut Matematik (3.Baskı), Istanbul, 1999.
Özer O. , Çoker D. , Taş K. , 1996, Soyut Matematik, 3. baskı, Izgi Yayınevi, Ankara.

Planned Learning Activities and Teaching Methods

Lecture, Discussion, Question-answer

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Midterm and final exams are determined according to the weekly course content within the scope of the learning outcomes of the course.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

sevgi.morali@deu.edu.tr
Cahit Arf Building Office: 226
Phone: 3012422

Office Hours

Thursday 13.30-15.00

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 10 10
Preparation for final exam 1 10 10
Preparing assignments 1 11 11
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 100

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.1543323
LO.2543323
LO.3543323
LO.4543323
LO.5543323

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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