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
MTÖ 2001 ANALYSIS I COMPULSORY 4 2 0 8

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR CENK KEŞAN

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION
ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

to be gane the differential and integral calculation in single variable functions

Learning Outcomes of the Course Unit

1   Will be able to state the conditions of existences of the single-variable mathematical functions by using mathematical language
2   Will be able to explain the limit theorems and the conditions of continuity of the single-variable mathematical functions; will be able to calculate the limit of function; will recognize the point of unlimited and discontinuity
3   Will be able to explain the prosedure of differentiation and integration of single variable functions
4   Will be able to know the special theorems such as Rolle's Theorem, L'Hospital Prosedure and Mean Value's Theorem, used to search the actions of the single-variable mathematical functions
5   Will be able to compare the concepts of differentiation and definite integral , and will be able to establish the relations these concepts with concept of limit
6   Will be able to solve the problems using the differentiation and integration process and will be able to use these process for modelling the daily situations
7   Will be able to realize the errors when analizing the actions of the single-variable mathematical functions and explain these error's reasons

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 the concept of limit in single variable functions and applications
2 the concept of continuity in single variable functions and applications
3 The concept of differentiation in single variable functions
4 The rules of differentiation in single variable functions and applications
5 The rules of differentiation in single variable functions and applications
6 differentiation in trigonometric, logarithmic and exponentional functions
7 extreme points and problems in single variable functions and applications
8 Midterm exam
9 Rolle s Theorem, L'Hospital Prosedure and Mean Value s Theorem
10 the concept of integration and undefined integrals
11 the techniques and methods of integration
12 definite integrations
13 calculate area and volume using definite integration
14 calculate area and volume using definite integration
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

Planned Learning Activities and Teaching Methods

problem solving

Assessment Methods

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

Further Notes About Assessment Methods

None

Assessment Criteria

Midterm exam, quizzes and final exam

Language of Instruction

Turkish

Course Policies and Rules

Seventy percent of the course is obligatory to attend

Contact Details for the Lecturer(s)

cenk.kesan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Tutorials 13 2 26
Preparation for quiz etc. 0
Preparations before/after weekly lectures 12 4 48
Preparation for midterm exam 1 15 15
Preparation for final exam 1 25 25
Preparing assignments 4 5 20
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 188

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.1
LO.2
LO.3
LO.4
LO.5
LO.65
LO.73

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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