COURSE UNIT TITLE

: ANALYSIS III

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTÖ 3001 ANALYSIS III COMPULSORY 3 0 0 5

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SÜHA YILMAZ

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION
ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

The student will be able to gain some basic concepts on real number sequences and series. The student will be able to prove some theorems on real number sequences and series and apply them.

Learning Outcomes of the Course Unit

1   The student will be able to gain some basic concepts for mathematical analysis.
2   The student will be able to solve problems and also prove some theorems related to the sequences.
3   The student will be able to solve problems related to the sequences.
4   The student will be able to use convergence tests.
5   The student will be able to solve problems related to the power series, function series, fourier Series.
6   The student will be able to comprehend Taylor Series and use its some applications.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 sequence concept and applications
2 sequence concept and applications
3 series concept
4 series with positive terms
5 convergence and divergence in sequences and series
6 convergence and divergence in sequences and series
7 convergence and divergence in sequences and series
8 Midterm exam
9 Alterne Series and convergence tests
10 power series
11 function series
12 pointwise and uniform convergence on function series
13 generalized convergence tests
14 Taylor Series and some applications, Fourier Series
15 Final exam

Recomended or Required Reading

Analize giriş. Aydın , S.. Beta, Istanbul, 1994.
Çözümlü Matematik Analiz. Çallıalp, F. Ve Canoğlu, A. Marmara Üniversitesi, Istanbul, 1999.
Genel Matematik. Balcı, M., Balcı Yayıncılık, Ankara, 1999.
Genel Matematik. Sağel, M. K. ve Aktaş, M. Pegema Yayıncılık, Ankara, 2004.

Planned Learning Activities and Teaching Methods

Lecture, problem solving, expository learning

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

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

suha.yilmaz@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Theoretical 13 3 39
Midterm Preparation 1 10 10
Final Preparation 1 20 20
Homework preparation 1 5 5
Pre Class Self Study 12 5 60
Final Exam 1 1 1
Midterm Exam 1 1 1
TOTAL WORKLOAD (hours) 136

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.13234
LO.233254
LO.322525
LO.452332335
LO.523334
LO.6

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2012 DEÜ. BİD

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