COURSE UNIT TITLE

: ANALYSIS I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IMÖ 1001 ANALYSIS I COMPULSORY 4 2 0 7

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR CENK KEŞAN

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

to provide students with a solid theoretical background in the subjects of functions, limits, continuity, derivatives and applications of derivatives on the set of real numbers. It is aimed for students to develop their analytical thinking skills, to understand mathematical concepts with a proof-based approach, and to gain the competence to interpret these concepts with a pedagogical approach and to express them in accordance with the primary education level.

Learning Outcomes of the Course Unit

1   Explain the concepts of real numbers, functions, limits, continuities and derivatives with mathematical accuracy.
2   Produce problem solutions by using basic analysis concepts and base these solutions on logical foundations.
3   Makes proofs on limits, continuities and derivatives and develops analytical thinking skills.
4   Analyze the geometric, physical and applied meanings of the derivative.
5   Uses knowledge of analysis in designing activities that develop mathematical thinking.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Algebraic Properties of Real Numbers
2 Inductive Method and Exercises
3 Functions
4 Sequences and Their Convergence
5 Convergence Theorems
6 Elementary Functions
7 Series
8 Midterm and General Review
9 Limit on Functions
10 Continuous Functions and Their Properties
11 Introduction to Derivation
12 Mean Value Theorems, Taylor's Formula
13 Determination of Ambiguous Statements, L'Hospital Rule
14 Final Exam Preparation and Assessment
15 Final Exam

Recomended or Required Reading

Balcı, A. (1997). Analiz I, Ertem Basın Yayın Dağıtım.
Çoker, D. & O. Özer & K. Taş (1994) Genel Matematik. Ankara: Adım Yayıncılık.
Süer, B. & H. Demir (1984)Freshman Calculus. Ankara: O.D.T.Ü. Yayınları
Dernek, A. (2013). Analiz I, Nobel yayınlar

Planned Learning Activities and Teaching Methods

Straight lecture, discussion, question and answer.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

The evaluation of the students is measured by midterm and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

cenk.kesan@deu.edu.tr

Office Hours

Will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Tutorials 13 2 26
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 30 30
Preparation for final exam 1 30 30
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 168

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.14353544544
LO.243355554545
LO.34334534543
LO.44334534544
LO.54354534544

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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