Monash College Unit Guide

INTRODUCTORY MATHEMATICS (MCD1050)

Purpose

The aim of this unit is to provide students with the knowledge and skills to solve problems involving matrices, discrete random variables and mathematical functions.

Prerequisites

It is recommended that students have studied year 11 (or equivalent) mathematics.

Learning outcomes

On completion of this unit, students should be able to:

1. Demonstrate understanding of the concept of mathematical functions and identify function properties. Sketch graphs of polynomial functions and functions derived from them.
2. Demonstrate understanding of the index and logarithmic laws. Sketch exponential and logarithmic functions that may involve solutions to exponential and logarithmic equations.
3. Demonstrate understanding of trigonometric functions. Sketch and solve trigonometric function problems.
4. Demonstrate understanding of the concept and properties of a discrete random variable, including calculation and interpretation of the mean and variance.
5. Demonstrate understanding of matrix properties. Solve data array problems and simultaneous linear equations in two and three variables using matrix formulations.

Assessment

Tests: 40%

Final examination: 60%

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