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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 1033 FUNDAMENTALS OF MATHEMATICS I COMPULSORY 4 0 0 7

Offered By

Mathematics (English)

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR NOYAN FEVZI ER

Offered to

Mathematics (English) Mathematics (Evening)

Course Objective

Serves for the purpose of finding the relationships between abstract notions which is the key of mathematics education by investigating the step stones of mathematics.

Learning Outcomes of the Course Unit

1   It is expected to achieve basic proof reading and writing. 2   Will be able to learn correct set definition and invastigates the operations on sets. 3   It is expected to know about relations, their types and relavent properties. 4   It is expected to know function concept together with necassary set theoretical notions. 5   It is expected to know about countability and related theories.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Logic, words about mathematics and proof. 2 Symbolic logic, propositions, truth tables. 3 Proof techniques, direct prof, contradiction and contrapositive prof, examples. 4 More examples on proving. 5 Sets, Russell s set and examples 6 Algebraic operations on sets, complement, examples 7 Infinite union and intersection of sets and mathematical induction. 8 Relations, equivalence relations and properties. 9 Mid term 10 Order relations and properties 11 Functions, properties, image and inverse image of functions. 12 One-to one, onto functions, invertible functions. 13 Countability, Cantor-Bernstein Teorem, uncountability of real numbers. 14 Review

Recomended or Required Reading

Textbook(s): CHAPTER ZERO-Fundamental Notions of Abstract Mathematics, Carol Schumacher, Second Ed., Addison-Wesley.

Planned Learning Activities and Teaching Methods

Lecure Notes Presentations Problem Solving

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE 1 MIDTERM EXAM 1 2 MTE 2 MIDTERM EXAM 2 3 FIN FINAL EXAM 4 FCG FINAL COURSE GRADE MTE1 * 0.30 + MTE2 * 0.30 + FIN * 0.40 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE1 * 0.30 + MTE2 * 0.30 + RST * 0.40

Further Notes About Assessment Methods

None

Assessment Criteria

%50 success rate on each of the midterm, final and make-up tests.

Language of Instruction

English

Course Policies and Rules

Rules and policies are as described in the syllabus provided by the instructor for each semester.

Contact Details for the Lecturer(s)

Noyan Er noyan.er@deu.edu.tr

Office Hours

This varies from semester to semester, and is announced by the instructor during the first week.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 4 56 Preparations before/after weekly lectures 14 3 42 Preparation for midterm exam 1 30 30 Preparation for final exam 1 35 35 Final 1 1 1 Midterm 2 1 2 TOTAL WORKLOAD (hours) 166

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 LO.1 3 4 5 3 4 3 2 LO.2 5 5 4 3 4 3 2 LO.3 4 5 4 3 4 3 2 LO.4 4 5 4 3 4 3 2 LO.5 3 5 4 3 4 3 2