Monash College Unit Guide

ADDITIONAL MATHEMATICS (MCD1080)

Purpose

The aim of this unit is to provide students with the knowledge and skills to solve problems involving differential and integral calculus, antidifferentiation and binomial and normal distributions.

Prerequisites

MCD1050 Introductory Mathematics or equivalent.

Learning outcomes

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

1. Demonstrate understanding of differential calculus and the use of various differential calculus techniques to solve mathematical problems.
2. Apply the techniques of differential calculus to sketching graphs and finding tangents and normals.
3. Apply the techniques of differential calculus to rates of change and optimisation problems.
4. Demonstrate understanding of antidifferentiation and apply the techniques of antidifferentiation to graphs, rates and straight-line motion.
5. Demonstrate understanding of integral calculus and numerical approximation to the integral and the use of integration and numerical approximation techniques to solve area and rate problems.
6. Demonstrate understanding of the concept, properties and application of a binomial distribution, including the formula calculation of mean, variance and probabilities.
7. Demonstrate understanding of normal distribution associated with the mean and variance, including the calculation of probabilities and quantiles.

Assessment

Tests: 40%

Final examination: 60%

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