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

ASSOCIATE PROFESSOR BURCU SILINDIR YANTIR

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 describe the methods of proof
2   be able to define mathematical terms
3   be able to develop and present mathematical arguments with appropriate notation and structure
4   be able to apply mathematical induction
5   be able to think rigorously
6   be able to follow 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
2 Divisibility and the Greatest Common Divisor, Mathematicians of the day
3 Linear Equations, definitions of some selected Mathematical terms, History of equations
4 Factorization and the Fundamental Theorem of Arithmetic, Mathematicians of the day
5 Congruences, Powers, and Fermat s Little Theorem, definition of some selected Mathematical terms, History of functions
6 Congruences, Powers, and Euler s Formula, Mathematicians of the day
7 Euler s Phi Function and the Chinese Remainder Theorem
8 Definition of some selected Mathematical terms, Chronology
9 Midterm Exam
10 Prime Numbers, Counting primes, Mersenne Primes, Perfect Numbers, Mathematicians of the day
11 Powers Modulo m and Successive Squaring, definition of some selected Mathematical terms, History of Arabic mathematics
12 Computing kth Roots Modulo m, Mathematicians of the day
13 Powers, Roots, and Unbreakable Codes
14 Definition of some selected Mathematical terms, History of probability, Chronology of Mathematics

Recomended or Required Reading

Textbooks:

[1] Houston, K. How to Think like a Mathematician, A Companion to Undergraduate Mathematics. Cambridge,
2009. [Turkish translation: Matematikc i gibi Du s u nmek, Lisans Matematig i ic in bir Kılavuz, c evirenler
Mehmet Terziler ve Tahsin O ner, Palme Yayıncılık, 2010.]

[2] Silverman, J. H. A Friendly Introduction to Number Theory. Pearson, 2012.

[3] Rotman, J. J. A Journey into Mathematics, An Introduction to Proofs. Dover, 2007.

[4] Higham, N.J. Handbook of Writing for the Mathematical Sciences. Second edition. SIAM, 1997.

[5] Vivaldi, F. Mathematical Writing, An Undergraduate Course. The University of London, 2011.

[6] Tanton, J. Encyclopedia of Mathematics. Facts on File, 2005.

[7] The history of Mathematics archive: http://www-history.mcs.st-and.ac.uk/index.html

[8] Darling, D. The Universal Book of Mathematics,From Abracadabra to Zeno's Paradoxes, John Wiley and Sons, 2004.

Planned Learning Activities and Teaching Methods

Face to face and presentation

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.40 + FIN * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + FIN * 0.60


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

e-mail: burcu.silindir@deu.edu.tr
Phone: (232) 30 18590

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 2 12 24
Preparation for final exam 1 13 13
Preparations before/after weekly lectures 12 2 24
Final 1 3 3
Midterm 2 3 6
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
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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