# A-Level Maths C3 Module

The **C3 Module** consists of the following topic areas: **Algebraic Fractions**,** more on Functions, Logarithms & Exponentials, Numerical Methods, Modding & more Transformations, more Trigonometric Functions, more Trigonometric Identities and more Differentiation**. We have designed our C3 worksheets so that each question corresponds to each of the topic areas and the questions increase in difficulty from worksheet to worksheet. See below for a description of each of the topic areas or…

**Algebraic Fractions**– perform operations with algebraic fractions. Simplify and use remainder theorem to divide them.**Domain & Range or Composite & Inverse Functions**– find valid value intervals for the domain and range of a function. Apply a function to a function including at specific values and find inverses.**Logarithms & Exponentials**– know what the graph of a number to the power of x looks like. Know what is and use the natural logarithm to invert the exponential function.**Numerical Methods for Finding Roots**– understand that a function has a root on an interval where it changes from negative to positive. Rearrange equations and use iteration to approximate roots.**The Mod Function and Transformations**– know what the mod function does and apply transformations. Solve equations involving mod functions.**More Trigonometric Functions**– Know the sec, cosec and cotan functions and their graphs. Know the inverse functions of the standard trig functions and their graphs.**More Trigonometric Identities**– derive identities involving the new trig functions. Know how to use double angle and composite angle formulae.**More Differentiation**– know how to differentiate the new functions. Use the product, quotient and chain rule to differentiate various combinations of standard functions.