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•           Information on Degree Programmes

COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Calculus II * EEE   104 2 4 4 5

 Prerequisites and co-requisites Recommended Optional Programme Components None

Language of Instruction English
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof. Dr. Hayrullah AYIK
Instructors
 Prof. Dr. HAYRULLAH AYIK 1. Öğretim Grup:A Prof. Dr. HAYRULLAH AYIK 2. Öğretim Grup:A

Assistants
Goals
To teach the student the topics of infinite series, functions of several variables, multiple integrals and integral theorems, which are the main topics of engineering mathematics, in a functional integrity.
Content
Integral applications, volumes and areas of surfaces of revolution, arc length. Parametric equations and curves, polar coordinates. Infinite sequences and series, convergence tests, power series, Taylor and Maclaurin series, approximation with Taylor polynomials. Functions of several variables, partial derivatives. Double and triple integrals, change of variables, integrals over polar coordinates. Surface area, line integrals, Green s theorem, surface integrals, divergence theorem, Stokes theorem.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Has capability in those fields of mathematics and physics that form the foundations of engineering.
2
Grasps the main knowledge in the basic topics of electrical and electronic engineering.
3
Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering.
X
4
Identifies problems and analyzes the identified problems based on the gathered professional knowledge.
5
Formulates and solves a given theoretical problem using the knowledge of basic engineering.
X
6
Has aptitude for computer and information technologies
7
Knows English at a level adequate to comprehend the main points of a scientific text, either general or about his profession, written in English.
X
8
Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices.
9
Has the ability to write a computer code towards a specific purpose using a familiar programming language.
10
Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared.
X
11
Has the aptitude to identify proper sources of information, reaches them and uses them efficiently.
X
12
Becomes able to communicate with other people with a proper style and uses an appropriate language.
13
Internalizes the ethical values prescribed by his profession in particular and by the professional life in general.
14
Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in.
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Integral applications, arc length, volume and surface area calculation Preparation
2 Parametric curves Preparation
3 Polar coordinates, polar curves Preparation
4 Infinite series, convergence tests Preparation
5 Convergence tests (continued) Preparation
6 Taylor and Maclaurin expansions, Taylor approximation Preparation
7 Introduction to multivariable functions, partial derivatives and the chain rule Preparation
8 Mid-Term Exam Prepare exam questions
9 Double integrals over general regions Preparation
10 Triple integrals, change of variables in multiple integrals Preparation
11 Double and triple integrals in polar coordinates Preparation
12 Surface area calculation, line integrals Preparation
13 Surface integrals, Green s theorem Preparation
14 Stokes and Divergence theorems Preparation
15 Review Preparation
16-17 Term Exams Prepare exam questions