# C3 Tutorials – MEI A Level Maths

## Logarithmic and Exponential Functions

## The Exponential Function e^{x} and Natural Log Functions

## Algebra and Functions

## Working with Functions

## Even and Odd and Periodic Functions

## Sketching Curves

## Graph Transformations and Asymptotes

## Differentiation

## Standard Differentials

## The Chain Rule

## The Product and Quotient Rules

## More Standard Differentials

## The Reciprocal Function of dy/dx

## Exam Questions – Differentiation

## Implicit Functions

## Integration

## Integration – Common Functions

- Integration:(ax+b)
^{n}types - Exam Questions - Integration:(ax+b)
^{n}types - Integrating exponential functions e
^{x}, e^{ax}and e^{(ax+b)} - Exam Questions - Integrating exponential functions e
^{x}, e^{ax}and e^{(ax+b)} - Integrating reciprocal functions 1/x and 1/(ax+b)
- Exam Questions - Integrating reciprocal functions 1/x and 1/(ax+b)
- Integrals of the form : f '(x)/f(x)
- Integrals of the form : f'(x)e
^{f(x)}

## Integrals of Trigonometric Functions

## Integration by Substitution

## Integration by Parts

## Mixed Examples & Exam Question – Integration

## Numerical Solution of Equations

## Solution of Equations by Numerical methods

- Graphical methods
- Change of sign
- Bisection method for locating a root in a given interval
- Linear interpolation method for locating a root in a given interval
- Iteration
- Exam Questions - Iteration
- Newton-Raphson Method NEW!!
- Newton-Raphson method for locating a root in a given interval
- Exam Questions - Newton-Raphson