COURSE UNIT TITLE

: ANALYSIS 1

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LME 1001 ANALYSIS 1 COMPULSORY 3 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR ESRA BUKOVA GÜZEL

Offered to

Mathematics Teacher Education

Course Objective

The purposes of the lesson is to introduce the fundamental concepts of calculus, sets, real number systems, relation and the real-valued functions of one real variable, exponential and logarithmic functions, limits and continuity and their applications, derivatives and its applications, and drawing the graphs of functions.

Learning Outcomes of the Course Unit

1   To be able to know sets, the real number systems, relate these sets of numbers; to express their differences.
2   To be able to recognize the real variable and real-valued functions and make applications with these functions.
3   To be able to learn the basic concepts such as limits and continuity for real-valued functions of one real variable, to make applications related to these concepts, to prove the theorems with the use of the basic properties of these concepts and problem solving.
4   To be able to define the concept of derivative for real-valued functions of real variables, to learn differentiation rules, its applications and drawing graphs.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Sets, natural numbers, integers, rational number and real numbers systems and their relationships.
2 A single real-valued functions of real variable, range and domain of functions, algebraic and non-algebraic functions.
3 Unit function, constant function, one to one function, onto function, one to one and bijective functions.
4 Components of functions and inverse of a function.
5 The limit for a single real variable and real-valued functions.
6 Finding the limit of a function at a point and its applications.
7 The fundamental theorems on limits and applications.
8 Course overview, evaluation and midterm examination
9 Continuity and its applications the discontinuity and types of discontinuity.
10 The concept of derivative of one variable functions.
11 Derivation rules and practices.
12 The geometrical interpretation.
13 Non-algebraic and algebraic functions (polynomial, trigonometric, logarithmic, exponential functions, ...), derivatives and applications.
14 Drawing the graphs of functions.
15 Final Exam

Recomended or Required Reading

Balcı, M. 2008; Matematik Analiz I, Balcı Yayınları, Ankara.
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

Planned Learning Activities and Teaching Methods

Lecture, Discussion, Question-answer, Problem solving, Active learning techniques, Group work

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

Midterm and final exams are determined according to the weekly course content within the scope of the learning outcomes of the course.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

esra.bukova@deu.edu.tr
Cahit Arf Building Office number: 402
Phone: 3012381

Office Hours

Friday 11.00-13.00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 10 10
Preparation for final exam 1 10 10
Preparing assignments 1 11 11
Midterm 1 2 2
Final Assignment 1 2 2
TOTAL WORKLOAD (hours) 100

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.1543323
LO.2543323
LO.3543323
LO.4543323

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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