COURSE UNIT TITLE

: TECHNICAL ENGLISH I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 1011 TECHNICAL ENGLISH I COMPULSORY 3 0 0 5

Offered By

Mathematics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR HALIL ORUÇ

Offered to

Mathematics
Mathematics (Evening)

Course Objective

This course is to develop basic knowledge of English language in mathematics. It aims to present an attitude, a way of thinking, doing and writing beautiful mathematics.

Learning Outcomes of the Course Unit

1   be able to define mathematical terms
2   be able to describe the methods of proof
3   be able to classify statements
4   be able to express a statement in various ways
5   be able to apply mathematical induction
6   be able to use important inequalities
7   be able to define a convex function from geometric point of view

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Syllabus, Eratosthenes construction of the Earth size, various proofs of Pythagorean Theorem and Pythagorean triples. Lecture Notes
2 What is a theorem, a lemma, a corollary, a proposition or a conjecture Some famous examples and definition of some mathematical terms Ch3. in Handbook of Writing for Mathematical Sciences
3 Greek alphabet, symbols and notation, examples of good and bad mathematical writing, how to express the steps of proofs. When English is a foreign language: A or an or the Connecting words and phrases, implications, explanations, modifications Ch3,5 in Handbook of Writing for Mathematical Sciences
4 How to write mathematics, some simple examples and rules: Pythagorean Theorem, Cosine rule, Sine rule, quadratic formula Ch3-4 in How to Think Like a Mathematician
5 Statements, implications, ten ways of writing an implication Ch6-7 in How to Think Like a Mathematician
6 Finer points concerning implications, converse, inverse and contrapositive and quantifiers and negation Ch8-10 in How to Think Like a Mathematician
7 Counter example, how to read and what to stress in a definition, a theorem, a proof Ch12, 14,15,16 in How to Think Like a Mathematician
8 Proof strategy how to start and how to finish, some common mistakes, direct proof Ch17-21 in How to Think Like a Mathematician
9 Mid-term Exam
10 Techniques of proof: proof by cases, proof by contradiction and proof by contrapositive. Ch22,23 in How to Think Like a Mathematician
11 Well ordering principle and mathematical induction: the binomial theorem, Tiling chessboard, Harmonic numbers. Ch24 in How to Think Like a Mathematician
12 Further examples on strong induction: Fundamental Theorem of arithmetic and Egyptian fractions, Cauchy Schwartz inequality, arithmetic geometric mean inequality Ch25 in How to Think Like a Mathematician, Ch4. Joseph Rotman, Journey into Mathematics
13 Complex numbers, de Moivre Formula and polar decomposition and roots of unity. Ch4. Joseph Rotman, Journey into Mathematics
14 Definition of a convex functions and slopes are increasing, Jensens inequality and weighted arithmetic geometric mean Lecture Notes

Recomended or Required Reading

Textbook(s): Kevin Houston, How to Think Like a Mathematician, A Companion to Undergraduate Mathematics, Cambridge University Press 2009.
Supplementary Book(s): Nicholas J. Higham, Handbook of Writing for Mathematical Sciences, SIAM 1997.
Joseph Rotman, Journey into Mathematics, An Introduction to Proofs, Dover edition reprint 2007
References: David Darling, The Universal Book of Mathematics From Abracadabra to Zeno s Paradoxes, John Wiley & Sons, 2004.
Materials: Lecture notes will be given in the class

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

5 quiz= midterm2

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 15 15
Preparation for final exam 1 20 20
Preparations before/after weekly lectures 12 2 24
Preparation for quiz etc. 5 3 15
Midterm 1 2 2
Final 1 2,5 3
Quiz etc. 5 0,5 3
TOTAL WORKLOAD (hours) 121

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.245
LO.35
LO.435
LO.53543
LO.64453
LO.7433

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

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