# MTH1010 - Functions and their applications

## 6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL

### Undergraduate Faculty of Science

#### Leader(s): Mr Simon Teague

#### Offered

Clayton First semester 2009 (Day)

#### Synopsis

Functions, domain and range, function representation; different types of functions including linear, exponential, logarithmic, trigonometric, polynomial and rational functions; function algebra; composition of functions; inverse of functions; transformations; modelling with functions; rates of change; introduction to differentiation and integration, including techniques and applications.

#### Objectives

On completion of this unit students will have acquired knowledge of: the notions of function and their representation as tables, graphs or mathematical expressions; basic characteristics of linear, exponential, trigonometric, and polynomial functions; algebra of functions and inverse functions; the notions of rate of exchange, differentiation and integration; will have developed skills in: identifying linear, exponential, logarithmic, periodic, polynomial, and rational patterns in graphs, tables, and mathematical expressions; using function algebra, calculating composition of functions and inverse functions; transforming functions through shifting, scaling and reflection; using functions as models of real- life behaviour; calculating simple derivatives and integrals; using computer algebra software to investigate the behaviour of functions, and their transformations and combinations, and as an aid in the modelling of real-life problems; and will have developed and/or strengthened the ability to present mathematical arguments in writing.

#### Assessment

Examination (3 hours): 60%

Assignments and tests: 40%

Student must pass the final examination to be granted a pass grade.

#### Contact hours

Three 1-hour lectures and one 2-hour support class per week