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
OME 1004 ANALYSIS II COMPULSORY 2 0 0 4

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR CENK KEŞAN

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

To teach trigonometry functions and trigonometric equation solutions, to teach trigonometry formulas and trigonometric equation solutions, to teach the indefinite integral formulas in univariate functions, to use them in definite integrals, to study the properties of definite integrals and to teach geometrical applications of definite integrals, examine convergence tests.

Learning Outcomes of the Course Unit

1   1.Trigonometric functions will be able to express conditions of existence and express this situation in mathematical language.
2   2. will be able to solve trigonometric equations which can express half angle formulas, transformation formulas, inverse-transformation formulas, trigonometric basic identities in trigonometric functions.
3   3. will be able to use features related to complex numbers and will be able to do root-taking operations in complex numbers, will be able to express special formulas (Euler and De Moivre Formulas) used in complex numbers and use them in problem solving.
4   4. will be able to compare the relations between definite integrals of solid and bounded functions and Improper Integrals (non-integrals) and learn the usage of these concepts in domain accounts.
5   5. will be able to comprehend the usage areas of integral integral in daily life and will be able to model area, arc length and volume using integral.
6   6. Students will be able to learn the usage of the series in daily life by using the features related to them.
7   7. Will be able to determine the character of the series by learning the convergence tests related to the series

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 1.WEEK: Definition and properties of trigonometric functions.
2 2.WEEK: Trigonometric relations and inverse trigonometric functions.
3 3.WEEK:Complex numbers and properties, Euler and De Moivre Formulas, stemming.
4 4.WEEK:Definition of definite integral and definite integral in Riemannian sense.
5 5.WEEK: Mean Value Theorem for Definite Integrals, Fundamental Theorems of Analysis.
6 6.WEEK: Geometrical Applications of Definite Integral: Area Account.
7 7.WEEK:Volume Account with the help of definite integral.
8 8.WEEK:Course,overview and Midterm examination..
9 9.WEEK:Arc length and differential account using a specific integral.
10 10.WEEK:Definition of indefinite integral and methods of integration by separating its properties into simple elements and performing variable transformation.
11 11.WEEK:Partial integration and integration methods of rational and irrational functions, integrals of trigonometric functions.
12 12.WEEK:Improper Integrals.
13 13.WEEK:Definition of series and properties of series.
14 14.WEEK:Convergence tests for examining the characters of the series.
15 15.WEEK:Final exam.

Recomended or Required Reading

Balcı, A. (1997). Analysis I, Ertem Press Release Distribution. Çoker, D. & O. Özer & K. Taş (1994) General Mathematics. Ankara: Adım Publishing.
Süer, B. & amp; H. Demir (1984) Freshman Calculus. Ankara: O.D.T.Ü. Publications
Çoker, D., Özer, O., Taş., K., (2009) General Mathematics
Black Sea, A (1985) High Mathematics Volume I

Planned Learning Activities and Teaching Methods

Lecture, Discussion, Question & Answer, Problem Solving.

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

Lessons consist of midterm and final exams according to learning outputs.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Professor Süha Yılmaz
Tel:02323012335
email:suha.yilmaz@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 2 24
Tutorials 2 2 4
Preparations before/after weekly lectures 12 1 12
Preparation for midterm exam 20 1 20
Preparation for final exam 20 1 20
Preparing assignments 6 1 6
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 88

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.11445524
LO.2145324
LO.31445324
LO.4145324
LO.511545123
LO.611545123
LO.711545123

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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