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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 2436yesCoursera

The fees for the course Fibonacci Numbers and the Golden Ratio is -

HeadAmount in INR
Certificate FeesRs. 2,436

 


The Syllabus

Videos
  • Promotional Video
  • The Fibonacci Sequence | Lecture 1
  • The Fibonacci Sequence Redux | Lecture 2
  • The Golden Ratio | Lecture 3
  • Fibonacci Numbers and the Golden Ratio | Lecture 4
  • Binet's Formula | Lecture 5
  • Mathematical Induction
Readings
  • Welcome and Course Information
  • Fibonacci Numbers with Negative Indices
  • The Lucas Numbers
  • Neighbour Swapping
  • Some Algebra Practice
  • Linearization of Powers of the Golden Ratio
  • Another Derivation of Binet's formula
  • Binet's Formula for the Lucas Numbers
Quizzes
  • Diagnostic Quiz
  • The Fibonacci Numbers
  • The Golden Ratio
  • Week 1 Assessment

Videos
  • The Fibonacci Q-matrix | Lecture 6
  • Cassini's Identity | Lecture 7
  • The Fibonacci Bamboozlement | Lecture 8
  • Sum of Fibonacci Numbers | Lecture 9
  • Sum of Fibonacci Numbers Squared | Lecture 10
  • The Golden Rectangle | Lecture 11
  • Spiraling Squares | Lecture 12
  • Matrix Algebra: Addition and Multiplication
  • Matrix Algebra: Determinants
Readings
  • Do You Know Matrices?
  • The Fibonacci Addition Formula
  • The Fibonacci Double Index Formula
  • Do You Know Determinants?
  • Proof of Cassini's Identity
  • Catalan's Identity
  • Sum of Lucas Numbers
  • Sums of Even and Odd Fibonacci Numbers
  • Sum of Lucas Numbers Squared
  • Area of the Spiraling Squares
Quizzes
  • The Fibonacci Bamboozlement
  • Fibonacci Sums
  • Week 2 Assessment

Videos
  • The Golden Spiral | Lecture 13
  • An Inner Golden Rectangle | Lecture 14
  • The Fibonacci Spiral | Lecture 15
  • Fibonacci Numbers in Nature | Lecture 16
  • Continued Fractions | Lecture 17
  • The Golden Angle | Lecture 18
  • A Simple Model for the Growth of a Sunflower | Lecture 19
  • Concluding remarks
Readings
  • The Eye of God
  • Area of the Inner Golden Rectangle
  • Continued Fractions for Square Roots
  • Continued Fraction for e
  • The Golden Ratio and the Ratio of Fibonacci Numbers
  • The Golden Angle and the Ratio of Fibonacci Numbers
  • Please Rate this Course
  • Acknowledgments
Quizzes
  • Spirals
  • Fibonacci Numbers in Nature
  • Week 3 Assessment

Articles

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