COURSE UNIT TITLE

: TECHNICAL ENGLISH II

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 1012 TECHNICAL ENGLISH II COMPULSORY 3 0 0 4

Offered By

Mathematics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR HALIL ORUÇ

Offered to

Mathematics (Evening)
Mathematics

Course Objective

This course aims to lead you think mathematically using elementary number theory accompanied with its history and essays on history of mathematics, and also to write beautiful mathematics.

Learning Outcomes of the Course Unit

1   be able to recognize the mathematicians related with number theory and also their work.
2   be able to define mathematical terms
3   be able to comprehend the greatest common divisor and Euclidean algorithm
4   be able to solve linear congruence equations
5   be able to solve congruence using Fermat s Little Theorem and Euler s Phi function
6   be able to write the development of mathematics through its history

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Pythagorean triples, definition of some selected Mathematical terms, History of geometry Ch.1-3. A Friendly Introduction to Number Theory, Encyclopedia of Mathematics p.226
2 Divisibility and the Greatest Common Divisor, Mathematicians of the day Ch. 5. A Friendly Introduction to Number Theory
3 Linear Equations, definitions of some selected Mathematical terms, History of equations Ch.6. A Friendly Introduction to Number Theory, Encyclopedia of Mathematics p.9
4 Factorization and the Fundamental Theorem of Arithmetic, Mathematicians of the day Ch7. A Friendly Introduction to Number Theory
5 Congruences, Powers, and Fermat s Little Theorem, definition of some selected Mathematical terms, History of functions Ch.8-9 A Friendly Introduction to Number Theory, Encyclopedia of Mathematics p.208
6 Congruences, Powers, and Euler s Formula, Mathematicians of the day Ch.10 A Friendly Introduction to Number Theory
7 Euler s Phi Function and the Chinese Remainder Theorem Ch.11 A Friendly Introduction to Number Theory
8 Definition of some selected Mathematical terms, Chronology Encyclopedia of Mathematics p. 539
9 Mid-term Exam
10 Prime Numbers, Counting primes, Mersenne Primes, Perfect Numbers, Mathematicians of the day Ch12-15 A Friendly Introduction to Number Theory
11 Powers Modulo m and Successive Squaring, definition of some selected Mathematical terms, History of Arabic mathematics Ch. 16 A Friendly Introduction to Number Theory, Encyclopedia of Mathematics p.17
12 Computing kth Roots Modulo m, Mathematicians of the day Ch. 17 A Friendly Introduction to Number Theory
13 Powers, Roots, and Unbreakable Codes Ch. 18 A Friendly Introduction to Number Theory, Encyclopedia of Mathematics p.414
14 Definition of some selected Mathematical terms, History of probability, Chronology of Mathematics Encyclopedia of Mathematics p. 539, 414

Recomended or Required Reading

Textbook
Joseph Silverman, A Friendly Introduction to Number Theory Third Edition - ISBN: 0-13-186137-9, Pearson Prentice Hall 2006..
References
1. James Tanton, Encyclopedia of Mathematics, ISBN 0-8160-5124-0, Facts on Science Library NY 2005.
2. The history of Mathematics archive,
http://www-history.mcs.st-and.ac.uk/index.html
3. David Darling, The Universal Book of MathematicsFrom Abracadabra to Zeno s Paradoxes, John Wiley & Sons, 2004.

Planned Learning Activities and Teaching Methods

Face to face and presentation

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

midterm2 = five quiz

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

halil.oruc@deu.edu.tr Tel: (232) 30 18577

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparation for midterm exam 1 12 12
Preparation for quiz etc. 5 1,5 8
Preparation for final exam 1 17 17
Preparations before/after weekly lectures 12 2 24
Final 1 2,5 3
Midterm 1 2,5 3
Quiz etc. 5 0,5 3
TOTAL WORKLOAD (hours) 109

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.145
LO.243353
LO.334433433
LO.4344334433
LO.534433453
LO.6435

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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