Mathematical Discovery 2

Description

Continues the development of linear algebra and calculus from MATH1210. In algebra, students learn how matrices may be simplified by an appropriate choice of coordinates. Known as the eigenvalue technique, this is a very powerful mathematical tool and is used throughout Science and Engineering. In calculus, students learn the mathematics behind algorithms used in calculators for computing exponential, trigonometric and other functions. They are also introduced to functions of several variables and to the notion of a differential equation, which are key concepts in mathematical modelling.

This course is a sequel to MATH1210 and is likewise intended for prospective mathematics majors and those who have a strong background in mathematics. There is substantial overlap with MATH1120; students' performance on this common material is compared and used to scale the marks to ensure that comparable students achieve comparable grades.

Availability

Callaghan Campus

  • Semester 2 - 2015

Learning Outcomes

1. To provide students with a firm foundation for later studies in algebra and analysis, the two main branches of mathematics.

2. To reinforce students' understanding of high school mathematics by developing a more rigorous approach.

3. To develop students' capacity for effective reasoning, and their ability to use their mathematical skills elsewhere.

Content

  1. Sequences and series.
  2. Differential calculus of several variables.
  3. Ordinary differential equations.
  4. Linear algebra: matrices, determinants, eigenvectors, diagonalisation.

Assumed Knowledge

MATH1210

Assessment Items

Quiz: Quiz

Written Assignment: Assignments

Formal Examination: Examination

Written Assignment: Take home assignment

Contact Hours

Lecture

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

Tutorial

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