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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS LME 2007 ANALYSIS 3 COMPULSORY 3 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR CENK KEŞAN

Offered to

Mathematics Teacher Education

Course Objective

The aşm of this course is to provide transition from single real-valued analysis to multiple real-valued analysis. To explain a general theory in n>=2 dimension real-valued analysis.

Learning Outcomes of the Course Unit

1   To be able to apply concepts related to Calculus I to n>=2 dimension analysis 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 mathematical analysis 5   To be able to generate problems related to mathematical analysis

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 Genarel applications related to 1-3 weeks 5 n 2 real variable and real-valued function concept 6 Limit and continuity concepts in n 2 real variable and real-valued functions 7 Function sequences and series 8 Course overview, evaluation and midterm examination 9 Convergence of function sequences 10 Convergence of function series 11 Partial derivatives, geometric interpretation of partial derivatives 12 Higher order partial derivatives and chain rule 13 Exact differential and its applications 14 Directional derivatives 15 Final exam

Recomended or Required Reading

Matematik Analiz, Cilt II, Mustafa Balcı Yüksek Matematik 2. Cilt, H. Halilov, A. Hasanoğlu, M. Can Matematik Analiz ve Analitik Geometri, Cilt II Çeviri Editörü: Ömer Akın Kalkülüs Eksiksiz Bir Ders, Çevirmen: Tahsin Öner, Mehmet Terziler

Planned Learning Activities and Teaching Methods

Lecture, Discussion, Question-answer

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)

berna.tataroglu@deu.edu.tr

Office Hours

To be announced.

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 20 20 Preparing assignments 2 6 12 Preparing presentations 1 2 2 Final 1 1 1 Midterm 1 1 1 TOTAL WORKLOAD (hours) 111

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