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
IMÖ 2001 ANALYSIS III COMPULSORY 2 2 0 4

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 give basic concepts and methods in multivariable functions, series and convergence tests. It is to enable students to apply their acquired knowledge in different disciplines.

Learning Outcomes of the Course Unit

1   Comprehend the definition and properties of multivariable functions.
2   Understand limit, continuity and partial derivatives of multivariable functions.
3   Make partial derivatives and applications.
4   Learn series, determination of characters by convergence tests and application areas.
5   Make models using basic definitions and concepts by developing mathematical thinking. To be able to achieve the ability to work individually.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Definition and properties of multivariable functions
2 Limit and Continuity in high dimensions
3 Partial derivative and its geometrical meaning
4 Chain rule
5 Jacobian, Transformations
6 Higher order partial derivatives
7 Direction derivative and Gradient vectors
8 Midterm Exam
9 Tangent Planes and Differentials
10 Extreme values and saddle points
11 Lagrange multipliers
12 Sequences, its limits and properties
13 Series and its convergence tests
14 Power series, Taylor and Maclurin series
15 Final exam

Recomended or Required Reading

1. Thomas G.B. and Finney R.L. Calculus and Analytic Geometry, Cilt II, Addison-wesley, New York, 1994.
2. Edwards & Penney Matematik Analiz ve Analitik Geometri, Cilt II, Çeviri Editörü: Prof. Dr. Ömer Akın, Palme yayıncılık.
3. Mustafa Balcı, Matematik Analiz 1, Balcı Yayınları
4. Süer, B. & H. Demir (1984). Freshman Calculus. Ankara: O.D.T.Ü. Yayınları
5. Karadeniz A (1985). Yüksek Matematik Cilt I.

Planned Learning Activities and Teaching Methods

Presentation, question and answer, application, group work, homework, software programs used in mathematics education.

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

Assessment of students is measured by midterm exams, assignments and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

serife.faydaoglu@deu.edu.tr

Office Hours

Friday: 10.00 a.m. -11.00 a.m.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Tutorials 13 2 26
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 10 10
Preparation for final exam 1 15 15
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 107

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.1111551141111124
LO.2111551141111124
LO.3111551141111124
LO.4111551141111124
LO.5111553341111124

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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