## Mathematics support

Our tutors are able to provide assistance with a wide array of topics, ranging from the **fundamentals** to **more advanced** mathematical concepts. Below is a **non-exhaustive** list of topics that we are able to help with.

### Fundamentals

- Fractions, percentages, ratios
- Decimal places and significant figures - RoundingDPandSigFig (PDF, 24 KB)
- Rearranging equations
- Solving linear and quadratic equations - SolvingEquations (PDF, 30 KB)
- Sketching graphs - SketchingGraphs (PDF, 30 KB)
- Basic differentiation - BasicDifferentiation (PDF, 43 KB)
- Basic integration - BasicIntegration (PDF, 33 KB)
- Logarithms and exponentiation - ExponentiationLogarithms (PDF, 38 KB)

### Applied

- Differentiation product, chain, quotient rules
- Partial differentiation
- Integration by parts, by substitution
- Integration Integration over multiple variables
- First and second order differential equations
- PDEs
- Vector calculus
- Polar coordinates
- Fourier series
- Mathematical modelling

### Pure

- Linear algebra vector spaces, matrices
- Functions and relations
- Proof by induction
- Complex numbers
- Sequences and series
- Convergence
- Graph theory
- Group theory