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  • 4 November 2022

    Related Rates of Change

    This page is about finding related rates of change, otherwise know as connected rates of change. In questions on this topic, you will be given a rate of change of some quantity and be required to find the rate of change of another, that is...

  • 5 October 2022

    Differential Equations - Integrating Factor

    On this page we will look at another type of differential equations: linear differential equations in the form y' + P(x)y=Q(x) which can be solved by using an integrating factor. There are many applications of this type of differential equation....

  • 13 September 2022

    Binomial Theorem HL

    The following page will help you with questions about the Binomial Theorem (or Binomial Expansion). The Binomial Theorem is used for expanding brackets in the form (a + b)n . Questions on this topic are usually short ones: you usually only have to find one

  • 8 September 2022

    Vector Product

    The vector product is a way of combining two vectors to find a third vector that is perpendicular to the first two. The vector product is a vector! Don't mix it up with the  scalar product which is a scalar! The vector product is useful for...

  • 25 August 2022

    Question Bank Free

    We all know that practice makes perfect, so this is the page that will sharpen your skills for any quiz, test or exam. With 1200 questions ready to check your knowledge of the course, the question bank is here to help you. You can take a random...

  • 25 August 2022

    3-Dimensional Solids

    In this page, we will look at finding the volume and surface area of three-dimensional solids. The formulae for these solids can all be found in the formula booklet. You just need to know where to find them, as some are in the prior learning...

  • 25 August 2022

    L'Hôpital's Rule

    You will probably have already considered limits in work on the sum of a geometric series, rational functions and asymptotes and differentiation from first principles. In this page, we will take the idea of limits further. L'Hôpital's rule...

  • 22 August 2022

    Trigonometric Graphs

    In this page, we will learn about the graphs of the circular functions sinx, cosx and tanx. We will link this to work that we have done on Transforming Functions to see how translating and stretching the graphs affect the tigonometric functions....

  • 15 August 2022

    Volume of Revolution

    In this page, we will learn about how to find the volume generated by rotating a region around the x axis and the y axis. The formule for these are not difficult to use. The difficulty often comes with applying the integration techniques. It...

  • 9 August 2022

    Scalar Product and Angles

    In this topic, we will look at finding the angle between vectors in different circumstances. The whole topic revolves around the scalar (or dot) product. Often we are concerned with perpendicular vectors, and the fact that the scalar product equals zero in

  • 9 August 2022

    Right-angled Trigonometry

    In this page, we will learn about right-angled trigonometry. For many, this will not be a new topic, nor will it be a difficult one. However, it deserves some time, as it forms the important step to understanding most of the other work in the...

  • 9 August 2022

    Sine and Cosine Rule

    In this page, we will look at the Sine Rule, the Cosine Rule and the formula for the Area of a Triangle. The formula for these three are fairly straight forward to use, but don't take this topic too lightly, sometimes the exam questions can be quite challe

  • 3 June 2022

    Introducing Derivatives

    Differentiation allows to find rates of change. The derivative is the rate at which one quantity changes with respect to an other. When we differentiate a function we find the gradient function. On a graph, the derivative is the slope of...

  • 12 May 2022

    Compound Angle Formulae

    In this page, we will will learn about the Compound Angle Formulae used in Trigonometry. These are really important because they open up so many other formulae in trigonometry. In particular, we can derive the double angle formula. There are...

  • 6 May 2022

    Radians, Arcs and Sectors

    In this page, we will look at another measure of angles, that is, radians. This is a far more useful measure than degrees. Formula for calculating arcs and sectors become simpler and most importantly, we need to use radian measure whenever...

  • 4 May 2022

    Geometry & Trigonometry Free

    In this topic, we will look at Trigonometric Functions The Unit Circle Trigonometric Identities Solving Trigonometric Equations Triangle Geometry

  • 3 May 2022

    Double Angle Formulae HL

    In this page, we will will learn about the Double Angle Formulae used in Trigonometry. It is actually quite rare that exam questions are solely about these identities, but it is essential that you can use and manipulate them confidently because...

  • 2 May 2022

    Double Angle Formulae SL

    In this page, we will will learn about the Double Angle Formulae used in Trigonometry. It is actually quite rare that exam questions are solely about these identities, but it is essential that you can use and manipulate them confidently because...

  • 2 May 2022

    Pythagorean Identity SL

    In this page, we will will learn about the Pythagorean Identities. It is actually quite rare that exam questions are solely about these identities, but it is essential that you can use and manipulate them confidently because they are used in...

  • 2 May 2022

    Pythagorean Identities HL

    In this page, we will will learn about the Pythagorean Identities. It is actually quite rare that exam questions are solely about these identities, but it is essential that you can use and manipulate them confidently because they are used in...