# Mathematics Skills

## Maths Topics

### Matrices, vectors and discrete maths

Print Materials to assist with any pre-requisite mathematics required in USQ courses. These materials are based on USQ's Tertiary Preparation Program. Mathematics modules are presented in increasing level of difficulty and complexity from Level A through to Level D.

Matrices (Level B)

• What are matrices (including: tables to matrices, defining a matrix, and matrix equality)
• Calculating with matrices (including: addition, subtraction and multiplication)
• Some special matrices (including: the identity matrix and the inverse matrix)
• Solving matrix equations
• Real world problems

Analytical geometry (Level C)

• Describing points in space (including: rectangular coordinates, polar coordinates, and vectors)
• Describing straight lines (including: equations of a straight line, distance between points and mid-point of a line)
• Describing other curves (including circles)
• Transformations (including: transforming points, straight lines, parabolas, circles and other curves)

Matrices (Level D)

• Matrix representation of data
• Addition and subtraction of matrices
• Multiplication of a matrix by a scalar
• Multiplication of a matrix by a vector
• Multiplication of two matrices
• Special matrices
• Linear equations in matrix form
• Solution of a system of linear equations by row reduction
• Solution of linear equations using the inverse of the coefficient matrix
• Inverse matrices
• Determinant of a square matrix

Discrete Mathematics (Level D)

• Factorials
• Binomial theorem
• Sequence and series
• Mathematical induction

You can also get help Mastering your calculator – free, easy to follow online booklets on a range of scientific calculators.