• HOME
  • About DEU
  • About Turkey and İzmir
• ABOUT DEU
  • Name and Address
  • Academic Calendar
  • Academic Authorities
  • General Description
  • List of Programs Offered
  • General Admission Requirements
  • General Arrangements for Recognition of Prior Learning
  • General Registration Procedures
  • ECTS Credit Allocation
  • Arrangements for Academic Guidance
• Degree Programmes
  • Third Cycle Programmes (Doctorate Degree)
  • Second Cycle Programmes (Master's Degree)
  • First Cycle Programmes (Bachelor's Degree)
  • Short Cycle Programmes (Associate's Degree)
• GENERAL INFORMATION FOR STUDENTS
  • Cost of Living
  • Accommodation
  • Meals
  • Medical Facilities
  • Facilities for Special Needs Students
  • Insurance
  • Financial Support for Students
  • Student Affairs Office
  • Learning Facilities
  • International Programmes
  • Practical Information for Exchange Students
  • Language Courses
  • Internships
  • Sports and Leisure Facilities
  • Student Associations
• LLP/ERASMUS
  • ECTS/DS/ERASMUS Coordinators
  • Application and Registration Procedure For Erasmus Students
  • International Affairs
  • Bilateral Agreements
  • ECTS Documents
  • DS Label
  • Our Erasmus Students

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS OMT 2021 ANALYSIS III COMPULSORY 4 0 0 6

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ADEM ÇELIK

Offered to

Mathematics Teacher Education

Course Objective

To provide transition single real variable calculus to many real valued calculus. To explain a general theory in n 2 dimension real variable calculus

Learning Outcomes of the Course Unit

1   To be able to apply concepts related to Calculus I to n 2 dimension calculus s problems 2   To be able to solve problems about n 2 variable functions 3   To be able to work in n 2 dimension 4   To be able to make generalization related to calculus 5   To be able to generate problems related to calculus

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 n 2 dimension Euclid spaces 2 Topology of IRn 3 Connected and non-connected point set, region concept 4 n 2 real variable and real valued function concept 5 Genarel applications related to 1-4 weeks 6 Limit and continuity concepts in n 2 real variable and real valued functions 7 Partial derivatives 8 Midterm exam 9 Chain rule and applications 10 Exact differential concept and applications 11 Closed function theorems: An equation a variable, an equation three variable 12 Closed function theorems: generalization, system of equations 13 Applications of two real variable functions Taylor expantion 14 Maximum and minimum in two real variable functions, Extremum and it s applications 15 Final exam

Recomended or Required Reading

Matematik Analiz, Cilt II, Mustafa Balcı; Yüksek Matematik 2. Cilt, H. Halilov, A. Hsanoğlu, M. Can; Matematik Analiz ve Analitik Geometri, Cilt II Çeviri Editörü: Ömer Akın

Planned Learning Activities and Teaching Methods

lecture based instruction, question-answer, group working

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 STT TERM WORK (SEMESTER) 3 FINS FINAL EXAM 4 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + STT * 0.10 + FINS * 0.60 5 RST RESIT 6 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)

adem.celik@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 Preparations before/after weekly lectures 13 3 39 Preparation for midterm exam 1 15 15 Preparation for final exam 1 25 25 Preparing assignments 2 6 12 Preparing presentations 1 2 2 Final 1 2 2 Midterm 1 2 2 TOTAL WORKLOAD (hours) 149

Contribution of Learning Outcomes to Programme Outcomes

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