This course on Fibonacci Numbers and the Golden Ratio teaches Fibonacci Numbers and the Golden Ratio fundamentals through 2 interactive modules. If you are , then this course is for you. You can access this course on web and mobile, it’s available in language.
This course on Fibonacci Numbers and the Golden Ratio teaches Fibonacci Numbers and the Golden Ratio fundamentals through 2 interactive modules. If you are , then this course is for you. You can access this course on web and mobile. This complete course is available in language.
Learn new concepts from professionals in the field.
Acquire a basic understanding of a topic or skill
Gain practical project experience to enhance employability.
Obtain a career certificate that can be shared.
Topics you will learn
Fibonacci: It's as easy as 1, 1, 2, 3
6 videos
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
8 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
4 quizzes
Week 1 Assessment
Diagnostic Quiz
The Fibonacci Numbers
The Golden Ratio
Identities, sums and rectangles
9 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
10 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
3 quizzes
Week 2 Assessment
The Fibonacci Bamboozlement
Fibonacci Sums
The most irrational number
8 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
8 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
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Acknowledgments
3 quizzes
Week 3 Assessment
Spirals
Fibonacci Numbers in Nature
Course Offerings
Certificate you will get
Certificate Features
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Pre Requsites
Curious Mind to learn new concepts
Strong internet connection
After this Course
Course is for
No results found.
FAQ's
When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option: The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I purchase the Certificate?
When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
What is the refund policy?
You will be eligible for a full refund until two weeks after your payment date, or (for courses that have just launched) until two weeks after the first session of the course begins, whichever is later. You cannot receive a refund once you’ve earned a Course Certificate, even if you complete the course within the two-week refund period. See our full refund policyOpens in a new tab.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.
To purchase this course you can click on the Enroll Now button it will redirect you to course page, and on that page you can buy Fibonacci Numbers and the Golden Ratio course.
