In this episode, I talk about the Chain Rule of Differentiation, a very powerful rule which can be applied to find the derivative of many functions.

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This episode discusses the derivative of function of the form y = mx, Power rule, the Sum Rule and Difference Rule of Differentiation. I also discuss two examples which illustrates how these rules are applied.

In this episode, I discuss differentiation. From the gradient formula, I discuss what is finding the derivative of a function and how this is related to finding the limits of a function. The derivatives of some common functions are also touched on.

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The formal definition of limits is discussed in this episode. I talk about how we need to make use of the absolute value between two values to help us define the idea of limits precisely using mathematical notation.

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The idea of limits is so important in the study of calculus. To understand how we find the slope of the tangent of a function at a point, listen to this bite-sized episode. I discuss the idea as a variable approaches a certain value when finding the limits of a function. The idea of limits at infinity is also mentioned.

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Quadratic equations are one of the types of equations that you will encounter most often in secondary or high school. Quadratic equations may come in different flavors but they have a standard form and their graphs are usually curves. In part 1 of solving quadratic equations, I discuss how to solve this type of equations by graphing it or completing the square.

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The concept of logarithms are discussed. I highlight the relationship between the logarithmic form and the exponential form. The product, quotient, power and change base rules of logarithms are discussed, along with the natural logarithm e and how to use the calculator to find the value of a logarithm.

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In this episode, I discuss surds and the surd form. Rationalising, conjugates and rational numbers and irrational numbers are some of the topics that are discussed.

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In this episode, I discuss how to solve the index or exponential equations using the laws or rules of indices that were discussed in episode 1. The method of comparing the indices with the same base is discussed.

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In this episode, I discuss indices (or exponents) and the 6 laws of indices. These laws or rules of indices will help us to manipluate the numbers with indices.

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