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
ELECTIVE

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ŞERIFE FAYDAOĞLU

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

The aim of this course is to understand the issues related to Analysis, to provide the practice of this in an effective way in the professional areas. To be able to analyze comparative problems, to solve them analytically, numerically and with the help of technology and to have the ability to compare these methods. It also aims to show the importance and purpose of mathematics is by the acquisition of analytical mindset.

Learning Outcomes of the Course Unit

1   To be able to understand the multivariate functions and its features
2   To be able to understand the topology of IR^n
3   To be able to comprehend the limits and continuity in the multivariate functions, to be able calculate the limits of the functions
4   To be able to comprehend the function sequences and series
5   To be able to express the partial derivatives, the geometric interpretation, the directional derivative in multivariable functions and to do their applications
6   To be able to get higher order derivative of multivariable functions and solve problems by using chain rule
7   To be able to learn the theory and applications of multivariable functions and benefit from technology for this purpose

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 the multivariable function, and domain and range of functions
2 Drawing of graphs of multivariable functions
3 The topology of IR^n
4 Limit concept in multivariable functions and their applications
5 Continuity concept in multivariable functions
6 The function sequences
7 The function series
8 Course overview, Evaluation and midterm examination
9 The differentiation, The partial differentiation in multivariable functions
10 The directional derivative
11 The geometric interpretation of the partial derivative in multivariable functions
12 The applications of the partial derivative in multivariable functions
13 The higher order partial derivatives
14 Chain rule
15 Final exam

Recomended or Required Reading

Balcı M., Analiz 2, Balcı Yayınları, Ankara, 1997
Hacısalihoğlu H., Balcı M.,Temel ve Genel Matematik Cilt 3, Ankara, 2000.
Thomas/Finney (Çev: Recep Korkmaz) Calculus 2 (2001), Beta Basım Yayın

Planned Learning Activities and Teaching Methods

Question-Answer, Verbal Expression, Discussion, Computer-aided

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

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

Assessment Criteria

Midterm exam and final exam

Language of Instruction

Turkish

Course Policies and Rules

Compulsory

Contact Details for the Lecturer(s)

serife.faydaoglu@deu.edu.tr
Hasan Ali Yücel Building
12240

Office Hours

Wednasday 11.15-12.15

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 6 3 18
Preparation for midterm exam 1 13 13
Preparation for final exam 1 16 16
Midterm 1 1 1
Final 1 1 1
TOTAL WORKLOAD (hours) 75

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.15
LO.23
LO.35
LO.44
LO.54
LO.64
LO.75

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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