The University of Newcastle, Australia
Available in 2020
Course code

MATH2340

Units

10 units

Level

2000 level

Course handbook

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 sequence MATH1110, MATH1120, MATH2340 provides equivalent mathematical exposure to the sequence MATH1210, MATH1220 and is a pathway to all further mathematics courses offered at 2000 and 3000 level.


Availability

Callaghan

  • Semester 1 - 2020

Learning outcomes

On successful completion of the course students will be able to:

1. Solve mathematical problems using linear algebra and introductory analysis

2. Communicate convincing and reasoned mathematical arguments

3. Use formal processes and language in presenting solutions to mathematical problems.


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

Math 1110 (or MATH1210) and MATH1120


Assessment items

Written Assignment: Assignments

In Term Test: Examination

Quiz: Online Quiz

Formal Examination: Formal Examination


Contact hours

Callaghan

Lecture

Face to Face On Campus 3 hour(s) per Week for Full Term

Workshop

Face to Face On Campus 1 hour(s) per Week for Full Term