Linearity and Continuity

Description

A deeper understanding and experience in the formulation of well-reasoned mathematics is developed in this course. Topics in linear algebra and introductory analysis provide specific knowledge and skills for later studies in Mathematics. The focus of the course is on the concepts of linearity and continuity which are fundamental for higher mathematics and its applications.

The course supplements MATH1110/1120 to provide assumed knowledge equivalent to MATH1210/1220. The sequence MATH1110/1120/2340 is thus a pathway to all advanced mathematics courses offered at 2000 and 3000 level.

Availability

Callaghan Campus

  • Semester 1 - 2015

Learning Outcomes

1. An understanding of the role of formal processes and language in mathematics

2. Experience in communicating convincing and reasoned mathematical arguments

3. Skills and knowledge in linear algebra and introductory analysis

Content

  • Formal mathematics and proof, including quantifiers, deductive reasoning, proof by induction, proof by contradiction.
  • Linear Algebra of vectors and matrices, including topics such as vector spaces, bases, linear transformations, eigenvectors and diagonalisation.
  • Introductory analysis, including topic such as sequences, series, convergence and continuity.

Assumed Knowledge

MATH1120

Assessment Items

Written Assignment: Assignments

In Term Test: Examination

Quiz: Quiz

Formal Examination: Examination ¿ Formal

Contact Hours

Lecture

Face to Face On Campus 4 hour(s) per Week for Full Term

Class time will be a mixture of tutorials and lectures as appropriate.