The following does not pretend to be exhaustive, but some central notions are introduced that might help first year students to get started or to refresh their memory.

This list is constantly being updated, so check back regularly for new pages.

Remember, DIT students can access all of this information, and more, on their Webcourses account, by clicking on the Students’ Maths Learning Centre link.

If maths is something that happened to you a long time ago, check this out:

• Priorities
• Fractions, lcm and percentage

First year calculus

• Basic differentiation
• Basic integration
• Drawing graphs
• Basic functions
• Introduction to complex numbers
• Introduction to power series
• Differentiation: chain rule
• Differentiation: tangents, maxima and minima
• Integration by parts
• Integration by substitution
• Integration: partial fractions
• Introduction to differential equations

First year algebra

• Simultaneous equations
• Basic matrices
• Matrices: determinant, co-matrix, inverse
• Vectors: basis, dot and cross product
• Matrices: eigenvalues and eigenvectors
• Matrices: diagonalisation
• Matrices: differential equations

First year statistics and probability

• Basic concepts: mean and variance
• Mode, median and frequency distribution
• Scatter diagram and regression line
• Introduction to probability

Maths software packages

• Getting started with Derive
• Getting started with Matlab
• Getting started with Maple