COURSE UNIT TITLE

: TECHNICAL ENGLISH II

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

ASISTANT PROFESSOR SEDEF KARAKILIÇ

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 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 When English is a foreign language: Thinking in English, Reading and Analyzing other papers, Distinctions, Articles, Connecting words and phrases. Ch5. in Handbook of Writing for Mathematical Sciences
2 When English is a foreign language: Spelling, Keeping it simple, using a dictionary, punctuation, further reading. Ch5. in Handbook of Writing for Mathematical Sciences
3 Techniques of proof: direct method. Some common mistakes. Ch20-21 in How to Think Like a Mathematician
4 Techniques of proof: proof by cases. Ch22 in How to Think Like a Mathematician
5 Techniques of proof: proof by contradiction. Ch23 in How to Think Like a Mathematician
6 Techniques of proof: induction Ch24 in How to Think Like a Mathematician
7 Techniques of proof: More sophisticated induction techniques, contrapositive method. Ch25-26 in How to Think Like a Mathematician
8 Bad mistakes, examples vs. proofs, bad definitions, bad implications Ch9 in Mathematical Writing
9 Mid-term Exam
10 Essential dictionary Ch2 in Mathematical Writing
11 Essential dictionary Ch2 in Mathematical Writing
12 Definition of some selected mathematical terms. History of equations and algebra Encyclopedia of Mathematics p.9-10
13 Golden ratio Lecture notes
14 Chronology Encyclopedia of Mathematics p.539-545

Recomended or Required Reading

Textbook
Kevin Houston, How to Think Like a Mathematician, A Companion to Undergraduate Mathematics, Cambridge University Press 2009.
References
1. Nicholas J. Higham, Handbook of Writing for Mathematical Sciences, SIAM 1997.
2. Franco Vivaldi, Mathematical Writing An Undergraduate Course, The University of London 2011.
3. James Tanton, Encyclopedia of Mathematics, ISBN 0-8160-5124-0, Facts on Science Library NY 2005.
3. The history of Mathematics archive,
http://www-history.mcs.st-and.ac.uk/index.html
4. 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