

Course Information
Course Unit Title 
: 
Analysis I 
Course Unit Code 
: 
MAT101 
Type of Course Unit 
: 
Compulsory 
Level of Course Unit

: 
First Cycle 
Year of Study

: 
1 
Semester

: 
1.Semester 
Number of ECTS Credits Allocated

: 
6,00 
Name of Lecturer(s) 
: 


Course Assistants 
: 


Learning Outcomes of The Course Unit 
: 
To define set and number conceptions To define function and some special functions To take limit at one point of functions To analyze sequence and properties of sequences To use the properties of continuous functions To define derivative and applications of derivative

Mode of Delivery 
: 
FaceToFace

Prerequisities and Corequisities Courses 
: 
Unavailable

Recommended Optional Programme Components 
: 
Unavailable

Course Contents 
: 
Fundamental conceptions of mathematical analysis, set and number conceptions, functions and special functions, sequence of real numbers, convergence, upper and lower limits, properties of continuous functions, derivative, higher order derivative, geometric and physical meaning of the derivative, derivative and some related theorems, indefinite limits, drawing curves.

Languages of Instruction 
: 
TurkishEnglish

Course Goals 
: 
To define set and number conceptions To define function and some special functions To take limit at one point of functions To analyze sequence and properties of sequences To use the properties of continuous functions To define derivative and applications of derivative

Course Aims 
: 
To give fundamental conceptions of mathematical analysis and limit, continuity, derivative and applications of derivative in singlevalued functions.

WorkPlacement 

Not Available


Recommended or Required Reading
Textbook

: 

Additional Resources

: 
Balcı, M., ?Analiz I?, Balcı Yayınları, 2001. Stoll, M. ?Introduction to Real Analysis?, Addison Wesley, New York, 2001. Ross, K.A., ''Elementary Analyis, the theory of Calculus'', SpringerVerlag, New York,1980.

Material Sharing
Documents

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Assignments

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Exams

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Additional Material

: 


Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)


ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.

Activity

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Course Duration (Excluding Exam Week)

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Time Of Studying Out Of Class

:


Homeworks

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Presentation

:


Project

:


Lab Study

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Field Study

:


Visas

:


Finals

:


Workload Hour (30)

:


Total Work Charge / Hour

:


Course's ECTS Credit

:



Assessment Methods and Criteria
Studies During Halfterm

: 

Visa

: 

Quiz

: 

Homework

: 

Attendance

: 

Application

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Lab

: 

Project

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Workshop

: 

Seminary

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Field study

: 




TOTAL

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The ratio of the term to success

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The ratio of final to success

: 

TOTAL

: 


Weekly Detailed Course Content
Week

Topics

1

Sets (operations of set, open sets, closed sets, limit points, etc.,)



2

Sets of numbers ( Natural numbers, Integers, Rational numbers, Real numbers and their properties.)



3

Mathematical induction, conceptions of functions , some special functions



4

Sequence of real numbers, boundedness, convergence, sequences of Real numbers, sınırlılık, yakınsaklık, BolzanoWeierstrass theorem, monotone sequences



5

Limit superior and inferior of a sequence



6

Limits and continuity of a Functions



7

Continuous functions, uniform continuity



8

Derivative, Rules of derivative



9

Methods of derivative



10

The geometric and physical meaning of the derivative, derivative and some related theorems



11

Theorems related to derivative



12

To compute the indefinite limits



13

Differentials and draw the curves (Cartesian coordinates)



14

To draw the curves ( Polar Coordinates)



























































































