by Gary Thomson | Mar 7, 2021 | Math Mondays

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...
by Gary Thomson | Mar 1, 2021 | Math Mondays

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...
by Gary Thomson | Feb 22, 2021 | Math Mondays

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...
by Gary Thomson | Feb 15, 2021 | Math Mondays

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...
by Gary Thomson | Feb 8, 2021 | Math Mondays

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...
by Gary Thomson | Feb 1, 2021 | Math Mondays

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...