A Level Further Maths Revision
A Level Further Maths
For Students Studying AL Further Maths
- Gain Access to all AJMaths A Level Further Maths Revision Videos
- Gain Access to all AJMaths A Level Further Maths Worksheets
- Gain Access to all AJMaths A Level Further Maths Mock Papers
Edexcel A Level Further Mathematics - Further Pure 2
Number Theory
In A Level Maths, correlation measures the strength and direction of a linear relationship between two variables, indicating how closely their values vary together. It ranges from -1 to 1, with positive values implying positive correlation, negative values indicating negative correlation, and 0 implying no linear relationship.
After watching the AJMaths revision videos on Number Theory I will be able to:
- Use the Division Algorithm
- Use the Euclidean Algorithm to find the GCD for 2 Numbers
- Use Bezout's Identity
- Solve Problems for Modular Arithmetic
- Perform Divisibility Tests for Numbers such as 2,3,4,5 and 6.
- Solve a Range of Congruence Equations
- Use Fermat's Little Theorem
- Solve Problems on Combinatorics
- Answer Exam Questions on Number Theory for A Level Further Maths
The Division Algorithm
In this video we will take a look at introducing the division algorithm as well as some new notation that will be important throughout this chapter on Number Theory.
The Euclidean Algorithm
In this video we will take a look at building on the previous video to now introduce the Euclidean algorithm which allows us to find the greatest common divisior (GCD) of two numbers.
Bezout's Identity
In this video we will take a look at introducing Bezout’s identity.
Modular Arithmetic
In this video we will take a look at an introduction to circles and how we define the equation of a circle. This video is important for laying the foundations and fundamentals for circles that will be essential throughout the next few videos.
Divisibility Tests
In this video we will take a look at the well known divisibility tests. This is divisibility by 2,3,4,5,6,9 and 11.
Solving Congruence Equations
In this video we will take a look at how to solve congruence equations as well as introducing multiplicative inverses.
Fermat's Little Theorem
In this video we will take a look at a useful trick that can be used when solving many problems in Number Theory, Fermat’s little theorem!
Combinatorics
In this video we will take at the Mathematics of counting, combinatorics!
Exam Revision for Number Theory
In this video we will take a look at answering some exam style questions on Number Theory.
Worksheets for Number Theory
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