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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 4 IMO301 Compulsory Bachelor's degree 3 Fall 4

Name of Lecturer(s)

Associate Prof. Dr. Ali Fuat YENİÇERİOĞLU

Learning Outcomes of the Course Unit

1) Express the functions, concepts of series and convergent and their relationship.
2) Express the series with positive term and apply the convergent tests about this series.
3) Express the alternating series and apply the criterion of convergent about this series.
4) Explain and apply the applications of expansion in a series.
5) Express the Taylor series and its applications in real life.

Program Competencies-Learning Outcomes Relation

  Program Competencies
1 2 3 4 5 6 7 8 9 10 11 12 13
Learning Outcomes
1 High Middle High High Middle Middle High High High Middle High Middle High
2 High Middle High Middle Middle High High High Middle Middle High High Middle
3 High Middle High High Middle Middle High High High Middle Middle Middle High
4 High High High Middle Middle High High High Middle Middle Middle High High
5 High High High High High Middle Middle High High Middle Middle High High

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

Concept of sequence and applications. Concepts of series, series with positive term, divergent sequence and convergent sequence , alternating series and criterions of being convergent, power series. Function series, pointal and regular convergent on function series, convergent tests, Taylor series and applications in real life. Fourier series.

Recommended or Required Reading

Planned Learning Activities and Teaching Methods



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