MTH1010 · Functions and their applications

Overview

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.

Offerings

Assessment

The Handbook lists an examination for this unit.

Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.

Requisites

The Handbook lists no prerequisite, corequisite or prohibition for this unit.

Learning outcomes

1. Interpret and represent the properties of elementary functions using graphs, symbolic expressions, and digital tools;
2. Manipulate and transform functions using a range of algebraic, numerical, and introductory calculus techniques to solve mathematical problems;
3. Apply functions and mathematical models to analyse and solve problems in real-world physical, scientific, and technological contexts;
4. Communicate mathematical reasoning effectively, both individually and in groups, to solve problems.

Workload

• Three hours of seminars; • One 2-hour applied class (in weeks 2-12) and • Seven hours of independent study per week.

Student experience, not official rules. Nothing here changes what the Handbook says.