An Introduction to Number Theory
Learning Outcome
- Gain an in-depth-understanding of Number Theory
- Learn different number Bases like Binary and Hexadecimal Base
- Know how to do Arithmetics (+, -, x, ÷) in those bases
- Gain mastery on Divisibility, Divisibility Rules, Euclidean Division Theorem, and many other topics
- Deepen your knowledge about different Numbers, Number Sets, Patterns, and Properties
- Master Factorials, Double Factorials, Factorions, and many other topics related to number theory
Description
Become a trained professional from the safety and comfort of your own home by taking An Introduction to Number Theory. Whatever your situation and requirements, Thames College can supply you with professional teaching, gained from industry experts, and brought to you for a great price with a limited-time discount.
Thames College has been proud to produce an extensive range of best-selling courses, and An Introduction to Number Theory is one of our best offerings. It is crafted specially to promote easy learning at any location with an online device. Each topic has been separated into digestible portions that can be memorised and understood in the minimum of time.
Teaching and training are more than just a job for the staff at Thames College; we take pride in employing those who share our vision for e-learning and its importance in today’s society. To prove this, all learning materials for each course are available for at least one year after the initial purchase.
All of our tutors and IT help desk personnel are available to answer any questions regarding your training or any technical difficulties.
By completing An Introduction to Number Theory, you will have automatically earnt an e-certificate that is industry-recognised and will be a great addition to your competencies on your CV.
Whatever your reason for studying An Introduction to Number Theory, make the most of this opportunity from Thames College and excel in your chosen field.
Please be aware that there are no hidden fees, no sudden exam charges, and no other kind of unexpected payments. All costs will be made very clear before you even attempt to sign up.
Course design
The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace.
You are taught through a combination of
- Video lessons
- Online study materials
Will I receive a certificate of completion?
Upon successful completion, you will qualify for the UK and internationally-recognised certificate. You can choose to make your achievement formal by obtaining your PDF Certificate at the cost of £9 and Hard Copy Certificate for £15.
Why study this course
It doesn’t matter if you are an aspiring professional or absolute beginner; this course will enhance your expertise and boost your CV with critical skills and an accredited qualification attesting to your knowledge.
The An Introduction to Number Theory is fully available to anyone, and no previous qualifications are needed to enrol. All Thames College needs to know is that you are eager to learn and are over 16.
Course Curriculum
| Introduction | |||
| What is Number Theory | 00:08:00 | ||
| Basics of Number Theory | |||
| Number Theory | 00:07:00 | ||
| Number Sets | 00:09:00 | ||
| Number Patterns | 00:10:00 | ||
| Even & Odd Numbers | 00:11:00 | ||
| Number Properties | 00:10:00 | ||
| Proofs | 00:11:00 | ||
| Number Bases | |||
| Number Bases | 00:12:00 | ||
| Binary Base | 00:12:00 | ||
| Binary Arithmetics | 00:15:00 | ||
| Hexadecimal Base | 00:13:00 | ||
| Hexadecimal Arithmetics | 00:14:00 | ||
| Factorials | |||
| Factorial | 00:05:00 | ||
| Double Factorial | 00:09:00 | ||
| Super Factorial | 00:03:00 | ||
| Exponential Factorial | 00:03:00 | ||
| Factorion | 00:05:00 | ||
| Stirling’s Formula | 00:03:00 | ||
| Number of Digits | 00:03:00 | ||
| Divisibility | |||
| Divisibility | 00:07:00 | ||
| Divisibility Rules | 00:04:00 | ||
| Euclidean Division Theorem | 00:08:00 | ||
| GCD & LCM | 00:11:00 | ||
| Bézout’s Identity | 00:08:00 | ||
| Perfect Numbers | 00:04:00 | ||
| Practical Numbers | 00:05:00 | ||
| Amicable Numbers | 00:04:00 | ||
| Fibonacci Sequence | 00:09:00 | ||
| Tribonacci Sequence | 00:05:00 | ||
| Golden Ratio | 00:11:00 | ||
| Primes | |||
| Prime Numbers | 00:09:00 | ||
| Fundamental Theorem of Arithmetics (FTA) | 00:10:00 | ||
| Almost Primes | 00:07:00 | ||
| Prime Powers | 00:02:00 | ||
| Factorial Prime | 00:03:00 | ||
| Euclid’s Theorems | 00:09:00 | ||
| The Prime Number Theorem | 00:04:00 | ||
| Unsolved Problems | 00:06:00 | ||
| Number Empire | 00:07:00 | ||
| Modular Arithmetic | |||
| Modular Arithmetics | 00:09:00 | ||
| Congruence | 00:13:00 | ||
| Congruence Class | 00:12:00 | ||
| Residue Systems | 00:04:00 | ||
| Quadratic Residues | 00:04:00 | ||
| Modular Operations | 00:06:00 | ||
| Inverses | 00:07:00 | ||
| Modular Exponentiation | 00:10:00 | ||
| Wilson’s Theorem | 00:05:00 | ||
| Chinese Remainder Theorem | 00:09:00 | ||
| Fermat’s Little Theorem | 00:05:00 | ||
| Euler’s Totient Function | 00:07:00 | ||
| Euler-Fermat Theorem | 00:04:00 | ||
| Continued Fractions | |||
| Continued Fractions | 00:08:00 | ||
| Negative Continued Fractions | 00:11:00 | ||
| Finite Continued Fractions | 00:14:00 | ||
| Infinite Continued Fractions | 00:17:00 | ||
| Periodic Continued Fractions | 00:10:00 | ||
| Convergent | 00:12:00 | ||
| Cryptography | |||
| Cryptography | 00:09:00 | ||
| Early Ciphers | 00:11:00 | ||
| Public Key Cryptography | 00:13:00 | ||
| RSA Encryption | 00:11:00 | ||
| Diffie-Hellman Protocol | 00:04:00 | ||
| Resources | |||
| Resource – An Introduction to Number Theory | 00:00:00 | ||
| Assignment | |||
| Assignment – An Introduction to Number Theory | 00:00:00 | ||
Certificate of Achievement
CPD Accredited Certification
Certification is available –
- In PDF for £2.99
- Hard copy for £8.99
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