What you will learn:

Study Fibonacci Numbers Online Courses and Learn about the Fibonacci Numbers and the golden ratio

The Fibonacci Numbers Online Courses teaches you about the Fibonacci Numbers and the golden ratio, where they appear in nature, and how they can be used in practical ways.

The Fibonacci Numbers and the Golden Ratio course introduces you to the subject by explaining the concept of the Fibonacci numbers and the golden ratio and outlines (in simple terms) the mathematics behind them, as well as the geometric shapes derived from them, with easy to follow diagrams.

Following this introduction, the course discusses the life of Fibonacci and his contributions to the world of mathematics, including his promotion of the decimal number system we use today. You will also read about some of the places the Fibonacci numbers appear in popular culture.

Descriptions are given of where and how the Fibonacci numbers and golden ratio appear in nature, along with explanations regarding why they occur.

You will also learn how the Fibonacci numbers and golden ratio are used for a variety of applications, including design and investing. Their usage in architecture from ancient to modern times and in the arts is discussed in detail with numerous examples given, accompanied by illustrations.

A full module of the Fibonacci Numbers and the Golden Ratio Course is dedicated to the spiritual significance of the Fibonacci numbers and the golden ratio, including accounts of how the golden ratio appears in texts of major world religions.

There is also a discussion of the associations between the human body and the golden ratio, which mentions modern research that confirms the relationship.

The Fibonacci Numbers Courses concludes by discussing the golden ratio and sacred geometry.

What you will learn with our Fibonacci Numbers Online Courses

• Fibonacci Numbers and the Golden Ratio
• Who was Fibonacci?
• Fibonacci Numbers in Nature
• Using Fibonacci Numbers and the Golden Ratio
• The Golden Ratio in Nature
• The Golden Ratio in Architecture
• The Golden Ratio in the Arts
• Spiritual Significance
• The Human Body
• The Golden Ratio and Sacred Geometry

How will the Fibonacci Numbers Courses be delivered?

Courses are accessed online via our learning management system by any device including PC, tablet or Smart Phone. Upon purchase an automated welcome email will be sent to you (please check your junk email inbox if not received as this is an automated email), in order for you to access your online course, which is Available 24/7 on any computer or smart mobile device. 

Fibonacci Numbers Online Courses - Requirements

The Fibonacci Numbers Courses is delivered 100 percent online 24/7 and takes 150 hours of study to complete.

To successfully complete this course, a student must:

• Have access to the internet and the necessary technical skills to navigate the online learning resources
• Have access to any mobile device with internet connectivity (laptop, desktop, tablet)
• Be a self-directed learner
• Possess sound language and literacy skills

Quick Course Facts

1. Course content is structured for easy comprehension
2. Approximately 150 hours of study is needed to complete the course
3. Registered students gain unrestricted access to the Fibonacci Numbers Courses
4. All course material is available online 24/7 and can be accessed using any device
5. Study online from anywhere in your own time at your own pace
6. All students who complete the course will be awarded with a certificate of completion

Recognition & Accreditation

Upon successful completion of this course and achieving a passing score for the assessment, you will be issued with an international continuing education credit (CEU) certificate.

This Certificate is applicable worldwide, which demonstrates your commitment to learning new skills. You can share the certificate with your friends, relatives, co-workers, and potential employers. Also, include it in your resume/CV, professional social media profiles and job applications.

Module 1 – Fibonacci Numbers and the Golden Ratio

• Introduction
• Part 1: Fibonacci Numbers
• Part 2: The Golden Ratio
• Module 1 Assessment

Module 2 – Who was Fibonacci?

• Part 1: Fibonacci’s Life
• Part 2: Fibonacci’s Work
• Part 3: The Greedy Algorithm
• Part 4: Fibonacci in Popular Culture
• Module 2 Assessment

Module 3 – Fibonacci Numbers in Nature

• Part 1: Fibonacci Flourishes in Nature
• Part 2: Fibonacci and Bees
• Module 3 Assessment

Module 4 – Using Fibonacci Numbers and the Golden Ratio

• Part 1: Converting Miles to Kilometres, Scoring Systems and Tiling Patterns
• Part 2: Design
• Part 3: Mathematics
• Module 4 Assessment

Module 5 – The Golden Ratio in Nature

• Part 1: The Golden Ratio in Different Elements of Nature
• Part 2: Shells, Animals and Weather
• Part 3: Cosmology
• Module 5 Assessment

Module 6 – The Golden Ratio in Architecture

• Part 1: Architectural Theory
• Part 2: The Golden Ratio in Architecture Around the World
• Module 6 Assessment

Module 7 – The Golden Ratio in the Arts

• Part 1: Art
• Part 2: Graphic Design and Music
• Part 3: Literature, Photography and Film
• Module 7 Assessment

Module 8 – Spiritual Significance

• of the Fibonacci Numbers and Phi
• Part 1: Ancient Religions and the VenusCycle
• Part 2: The Biblical Context
• Part 3: In the Context of Islam
• Part 4: In the Context of Hinduism
• Module 8 Assessment

Module 9 – The Human Body

• Part 1: Body Proportions I
• Part 2: Body Proportions II
• Module 9 Assessment

Module 10 – The Golden Ratio and Sacred Geometry

• Part 1: Sacred Geometry
• Part 2: Pentagon, Pentagram and Platonic Solids
• Part 3: Vesica Piscis, Flower of Life and Metatron’s Cube
• Conclusion
• Module 10 Assessment

Entry requirements

Students must have basic literacy and numeracy skills.

Minimum education

Open entry. Previous schooling and academic achievements are not required for entry into this course.

Computer requirements

Students will need access to a computer and the internet.

Minimum specifications for the computer are:

Windows:

Microsoft Windows XP, or laterModern and up to date Browser (Internet Explorer 8 or later, Firefox, Chrome, Safari)

MAC/iOS

OSX/iOS 6 or laterModern and up to date Browser (Firefox, Chrome, Safari)

All systems

Internet bandwidth of 1Mb or fasterFlash player or a browser with HTML5 video capabilities(Currently Internet Explorer 9, Firefox, Chrome, Safari)

Students will also need access the following applications:

Adobe Acrobat Reader

Entry requirements:

Students must have basic literacy and numeracy skills.

Minimum education:

Open entry. Previous schooling and academic achievements are not required for entry into this course.

Device requirements:

Students will need access to a computer/any device and the internet.

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