Whiteboard Maths

The trapezium rule

Integration for the area between 2 curves

Integration of curves below the x-axis

Indefinite vs definite integration

Simple trigonometric identities

Determining the nature of stationary points

Increasing and decreasing functions

Trig tables

sin, cos and tan - definitions and graphs

Infinite geometric series

Finite geometric series

Growth and decay problems

Derivative of arccos x

Solving simultaneous equations by substitution

Intersection of a circle and a line

Proof of the change of base formula

Solving simultaneous equations by elimination

Oxford Maths Admissions Test (MAT) 2017 Q1.A solution

Integral of tan x

Square root of i

Integral of 1/(sin^2(x)cos^2(x))

Derivation of the formula for the Sum of an Arithmetic Series

Area of a segment of a circle

Proof of the sine rule

The cosine rule

Gauss coming in clutch - MIT integration bee (2020 qualifiers, Q20)

Change of base formula

Proving the laws of logarithms

Proof of the cosine rule

Standard Derivatives

The laws of logarithms

The Binomial theorem

Standard Integrals

Formula for the arclength of a circle

Don’t do this - MIT integration bee (2020 qualifiers, Q13)

Derivative of xln x

How to evaluate a fractional series

Oxford Maths Admissions Test (MAT) 2018 Q5

Proof of formula for area of a triangle using sine

Solving logarithmic equations

Oxford Maths Admissions Test (MAT) 2017 Q1.F solution

Differentiation using the chain rule

Polynomial division

Solving nonlinear simultaneous equations

Proof of the sum of r^2 series

Introduction to radians

Area of a triangle using sine

Intro to exponentials and logarithms