COURSE UNIT TITLE

: ANALYSIS II

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTÖ 2002 ANALYSIS II COMPULSORY 4 2 0 8

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR CENK KEŞAN

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION
ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

1. get the knowledge of mathematical analysis
2. analysis the mathematical problems and solve these problems by different and flexible strategies.
3. solve problems by graphic, numeric and technologic technics and compare these technics.

Learning Outcomes of the Course Unit

1   will be able to state the conditions of existences of the multivariable mathematical functions by using mathematical language
2   will explain the limit theorems and the conditions of continuity of the two-variables mathematical functions; will calculate the limit of function; will recognize the point of unlimited and discontinuity
3   will explain the prosedure of differentiation of two variables functions
4   will be able to know the special theorems such as Lagrange Multipliers used to search the actions of the two-variable mathematical functions
5   will be able to solve the problems using the differentiation process on two variable functions and will be able to calculate extreme values.
6   will be able to graph these two variable functions and will be able to use technology for graphing.
7   will be able to calculate volume using multiple integration procedures.

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 "multivariable mathematical functions", and domain and range of functions
2 Graphs
3 Limit in two-variables functions and applications
4 Continuity in two-variables functions and applications
5 Partial differentiation
6 Chain rule
7 Linearization
8 Midterm exam
9 Extreme values and applications
10 Extreme values and applications
11 Lagrange multipliers
12 Multiple integration
13 Area calculation by multiple integration
14 Volume calculation by multiple integration
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

verbal expression, discussion, question-answer

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

Midterm exam and final exam

Language of Instruction

Turkish

Course Policies and Rules

Seventy percent of the course is obligatory to attend.

Contact Details for the Lecturer(s)

cenk.kesan@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
Tutorials 13 2 26
Preparation for quiz etc. 0
Preparations before/after weekly lectures 12 5 60
Preparation for midterm exam 1 20 20
Preparation for final exam 1 30 30
Preparing assignments 2 10 20
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 210

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.22
LO.35
LO.43
LO.5
LO.65
LO.72

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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