COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 585RECURRENCE RELATIONS, FIBONACCI AND LUCAS NUMBERS3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective The aim of this course is to teach the linear homogen recurrence relations and the properties of the numbers which are the results of these recurrence relations. To emphasize the algebraic and combinatorial importance in other sciences.
Course Content Linear Homogen Recurrence Relations, Fibonacci, Lucas, Pell amd Bernoulli Numbers, Fibonacci Lucas Identities, Generalized Fibonacci Numbers and Euclid Algorithm, Divisibility Properties of Fibonacci and Lucas numbers, Congruences, Periods of Fibonacci and Lucas numbers, Generating Functions, Continued Fractions, Golden Ratio
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Knows the linear homogen recurrence relations and their solutions.
2Learns the Fibonacci, Lucas, Pell ve Bernoulli numbers.
3Learns the divisibility properties and peridicity of the Fibonacci and Lucas numbers.
4Learns to find the generating functions.
5Learns the concept of the continued fractions and the relations between the Fibonacci numbers.
6Knows the golden ratio and the applications in the nature.

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
Presentation / Seminar Preparation13339
Total Work Load

ECTS Credit of the Course






195

7,5

COURSE DETAILS
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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes
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