eBook
HLs Related Rates 5.9
Use the simulations below to gain a concrete experience of some related rate problems, then use the Teacher presentation for an analytical, and strategic, approach to solving them. Applying mathematics...
eBook
HLs Slope Fields 5.15
Conceptual overview: 'Slope fields' as an introduction to differential equations - what are they? Instead of starting with "data", plotting it, and finding which functions have a similar shape e.g. maximums,...
eBook
HLs Separation of Variables 5.14
Integration(sometimes called ‘anti-differentiation’) is the inverse function of differentiation. We can therefore ‘undo' and solve equations that contain a derivative ('differential equations') using...
eBook
HLs Volumes of revolution 5.12
Volumes of revolution - the invention of the lathe is attributed by the Machine Thinking Youtube channel as the "foundation of the greatest explosion of wealth we have ever seen, and a big part of the...
Calculus
SL Integration + Trapezium rule
Welcome to integration! A lot of fun is in store! It helps to remember that this topic, along with differentiation, is the best description humans have yet invented for measuring, describing and calculating...
Calculus
SL Optimisation
In this section we look at how calculus is used to find the local maximum and minimum values of functions and, as such, how that is used to optimise. This is done both in the abstract and in context but...
Calculus
SL Tangents & Normals
In this unit we look at find the equations of tangents and normals to curves, increasing and decreasing functions and the second derivative. All this builds on the fundamental notion that calculus tells...
Calculus
HL Volumes of revolution 5.12
Volumes of revolution - the invention of the lathe is attributed by the Machine Thinking Youtube channel as the "foundation of the greatest explosion of wealth we have ever seen, and a big part of the...
Calculus
HL SIR Models 5.15+5.16
During 2020 the world has suffered through the COVID-19 coronavirus crisis. As early as February teams of experts - epidemiologists, virologists, CMOs (Chief Medical Officers), hospital administra- tors,...
Calculus
HL Separation of variables 5.14 Free
Integration(sometimes called ‘anti-differentiation’) is the inverse function of differentiation. We can therefore ‘undo' and solve equations that contain a derivative ('differential equations') using...