Collinear Points Using Vectors

Collinear Points Using Vectors

Learn how to prove that three points lie in a line (collinear) using vectors FollowFollow Subscribe To Math Mondays Key Points Collinear refers to points laying in a straight line Collinearity can be shown using vectors or gradients Using gradients we show the vectors...
Areas & Definite Integrals

Areas & Definite Integrals

Explore the connection between definite integrals and areas under a curve FollowFollow Subscribe To Math Mondays Key Points Definite integrals can be used to find the area under a curve If the area is above the x-axis then the definite integral is exactly the area If...
Integration by Parts

Integration by Parts

Learn how to use integration by parts to evaluate integrals where the integrand is a product of functions FollowFollow Subscribe To Math Mondays Key Points Integration by Parts is for evaluating integrals written as a product of functions It is similar to the product...
Example of Proof by Induction

Example of Proof by Induction

Learn how to use proof by induction by following this example involving a finite series FollowFollow Subscribe To Math Mondays Key Points Proof by Induction is a method of demonstrating that a Mathematical result is true  It is particualrly useful when you have a...
The Area Under a Curve

The Area Under a Curve

Learn how to find the area under a curve using definite integrals FollowFollow Subscribe To Math Mondays Key Points The area ‘under a curve’ is the area beneath the curve and between the x-axis and limits The area under is a curve is found by setting up...
Evaluating Definite Integrals

Evaluating Definite Integrals

Learn how to evaluate definite integrals using The Fundamental Theorem of Calculus FollowFollow Subscribe To Math Mondays Key Points Definite integrals give a numerical solution not another function The numerical solution can be positive or negative Definite integrals...