Surds

Summary Rational Number: A number that can be written as a fraction, where both the numerator and the denominator are whole numbers. E.g 3/4 Irrational Number: They cannot be written as a fraction. They can only be written as decimals numbers. E.g    which is equal to 1.7320…… A surd is a number that’s written … Read more

The Binomial Expansion

Summary Pascal’s Triangle can be used to multiply out a bracket. When we have large powers, we can use combination and factorial notation to help expand binomial expressions. What is a Binomial? A binomial is an expression which consists of two terms only i.e 2x + 3y and 4p – 7q are both binomials. What … Read more

Iteration

Summary Iteration is a method of finding an approximate solution of a given equation. Remember the 3 steps below to carry out iteration: Find the interval in which the root lies. Select a suitable value in that interval then substitute again and again in the given iterative formula to give a better approximation. When we … Read more

Indices

Summary MUST Remember all these Rules of Indices: 1.   2.   3.   4.   5.   6.   7.   8.    What are Indices? Just like other operations in maths (+, -,  x,), Indices are a type of math operations. However they don’t have a fix symbol for it. We can identify it from the way a certain number is … Read more

Differential Equations

Summary Differential Equation – any equation which involves or any higher derivative. Solving differential equations means finding a relation between y and x alone through integration. We use the method of separating variables in order to solve linear differential equations. We must be able to form a differential equation from the given information. What is … Read more

Implicit Differentiation

Summary An implicit equation is an equation which is not in the form , it consists of two variable x and y which cannot be separated. Implicit Functions are differentiated by using ”chain rule” in combination with the ”product and quotient rule”. When we differentiate y we write with the derivative i.e To find the … Read more