Introduction to Modern Mathematical Computation

Description

This introduction to modern mathematical computation provides a new approach to the teaching and learning of computer packages. Many introductions to computer packages aim to teach you the syntax (rules and structure) and semantics (meaning) of the system as efficiently as possible but not why it is necessary to learn such things. By contrast, this course will demonstrate that mathematical software tools such as Maple are effective tools with a wide range of applications in areas of mathematics, mathematics education, computer science, engineering and science. How computation and experimentation can help build mathematical intuition and knowledge is a theme that will be emphasized throughout the course.

Availability

Callaghan Campus

  • Semester 1 - 2015

Learning Outcomes

1. Skills in using a computer algebra system.

2. Enhanced understanding of mathematics and improved mathematical problem solving skills from using and experimenting with computer assisted mathematics.

3. Experience in communicating mathematical results using current mathematical presentation tools.

Content

  • Elementary number theory: introduce the basic computational ideas behind Maple while also learning more mathematics.
  • Calculus of one and several variables: introduce the basic ways to plot and explore functions graphically in Maple.
  • Introductory linear algebra: illustrate how much of linear algebra can be animated (that is, brought to life) within a computer algebra system.
  • Visualisation and interactive geometric computation: explore how visual computing can help build mathematical intuition and knowledge.

Assumed Knowledge

MATH1120 or MATH1220

Assessment Items

Quiz: Lab Tests

Project: Project

Contact Hours

Computer Lab

Face to Face On Campus 2 hour(s) per Week for Full Term

Lecture

Face to Face On Campus 2 hour(s) per Week for Full Term