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Course Unit Title Course Unit Code Type of Course Unit Level of Course Unit Year of Study Semester ECTS Credits
Analysis 1 IMO102 Compulsory Bachelor's degree 1 Spring 6

Name of Lecturer(s)

Prof. Dr. Ahmet KÜÇÜK
Assistant Prof. Dr. Cüneyt YAZICI

Learning Outcomes of the Course Unit

1) Know the concepts of sets and number systems.
2) Know relationship, function types, exponential functions and logarithmic functions.
3) Define basic concepts about subject of limit on single variable functions.
4) Clarify concept of continuity and discontinuity on single variable functions.
5) Solve problems related to derivative on single variable functions.
6) Makes graphic drawings using derivatives on single variable functions.

Program Competencies-Learning Outcomes Relation

  Program Competencies
1 2 3 4 5 6 7 8 9 10 11 12 13
Learning Outcomes
1 No relation High High High High High High High High High High High High
2 High High High High High High High High High High High High High
3 High High High High High High High High High High High High High
4 High High High High High High High High High High High High High
5 High High High High High High High High High High High High High
6 High High High High High High High High High High High High High

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

yok

Course Contents

Sets, numbers,function concept, function kinds, increased and decreased functions, closed functions, bijectve functions and inverse of a function, limit concept, derivative conceprt, tangent end normal equations, L'Hospital rule, extrema of functions and curves.

Weekly Schedule

1) Clusters and number systems.
2) Relation, function types, exponential functions and logarithmic functions.
3) Basic concept of limit variable in univariate functions.
4) Basic concept of limit variable in univariate functions.
5) Basic concept of limit variable in univariate functions.
6) Concept of continuity and discontinuity in univariate functions.
7) Concept of continuity and discontinuity in univariate functions.
8) Midterm
9) Derivative problems in univariate functions.
10) Derivative problems in univariate functions
11) Derivative problems in univariate functions.
12) Derivative problems in univariate functions.
13) Drawing graphs using derivatives in univariate functions.
14) Drawing graphs using derivatives in univariate functions.
15) Drawing graphs using derivatives in univariate functions.
16) Final Exam

Recommended or Required Reading

1- Analiz1 Prof. Dr. Ahmet DERNEK.
2- Matematik Analiz 1 Prof. Dr. Mustafa BALCI

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion
4) Self Study


Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade

40%

Contribution of Final Examination to Course Grade

60%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required