Mathematical Discovery 2


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.



  • Semester 2 - 2016

Learning Outcomes

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

1. Demonstrate a firm foundation for later studies in algebra and analysis, the two main branches of mathematics.

2. Demonstrate understanding of high school mathematics by developing a more rigorous approach.

3. Demonstrate effective reasoning, and be able to use their mathematical skills elsewhere.


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

Assumed Knowledge


Assessment Items

Quiz: Quiz

Formal Examination: Examination

Written Assignment: Take home assignment

Contact Hours



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


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