Mathematics

MTH1040 Mathematics extension study (all year)

VCE Units 3 and 4 prerequisite study (or concurrent enrolment) - Mathematical Methods (any)* and Specialist Mathematics

*'Mathematical Methods (CAS)' or 'Mathematical Methods'

The first half of the year focuses on linear algebra.

Topics include:

  • vectors in Rn, dot and vector products, lines and planes in R3
  • solution of systems of linear equations
  • Gaussian elimination, reduced row echelon form, matrix operations, inverses and determinants
  • rank, image and kernel, special matrices, linear dependence of vectors, linear transformations, eigenvectors and eigenvalues
  • diagonalisation of matrices, Cayley-Hamilton theorem
  • abstract vector spaces and various applications of linear algebra.

The second half of the year covers how and why something works and places an emphasis on calculus.

Topics include:

  • limits and continuity
  • infinite sequences and series (e.g. convergence tests, Taylor series)
  • techniques of integration and improper integrals (e.g. integration by parts and partial fractions)
  • differential equations (e.g. mathematical modelling, separable equations, linear first and second order differential equations, systems of differential equations).

A particular emphasis of this course is on proof.

2019 Study locations

  • Monash University, Clayton campus
  • Kilvington Grammar
  • Presbyterian Ladies' College (PLC), Burwood
  • Scotch College, Hawthorn

Note: Host School centre classes will be held after school hours and will run subject to meeting minimum enrolments

2019 Class times

Please note that students undertaking Extension Studies need to have flexible extracurricular activities as there is no guarantee a uni class will have the same timetable for both semesters. (Eg Your class may run Tuesday afternoon in Semester 1 and Thursday afternoon in Semester 2.)

Students need to be able to fit their other commitments (such as part-time work and sport) around Extension Studies, making Extension a priority.

We will do our best to ensure classes run after school hours, but this may not always be possible. Students are advised of their timetable as soon as it is confirmed so they can organise their personal commitments around their Extension study.

Semester 1 Timetable*: 

Students are required to attend a weekly COMPULSORY class:

  • Monash University, Clayton campus: Mondays 4:30pm-6:30pm - Classes will start from Monday 4 February
  • Kilvington Grammar: Thursdays 4pm-6pm - Classes will start from Thursday 7 February
  • Presbyterian Ladies' College (PLC), Burwood: Fridays 4pm-6pm - Classes will start from Friday 1 February
  • Scotch College, Hawthorn: Wednesdays 4:30pm-6:30pm - Classes will start from Wednesday 6 February

* Please note host school centres may start earlier than the university semester dates.

Semester 2 Timetable*: 

Students are required to attend a weekly COMPULSORY class:

  • Monash University, Clayton campus: Mondays 4:30pm-6:30pm
  • Kilvington Grammar: Thursdays 4pm-6pm
  • Presbyterian Ladies' College (PLC), Burwood: Time TBC
  • Scotch College, Hawthorn: Wednesdays 4:30pm-6:30pm

* Please note timetables are subject to change

Recognition for prior learning

When you enrol in a Bachelor’s degree at Monash, your Extension units can be used for course credit if they are compatible with the degree in which you enrol.

Students who have successfully completed the full year Mathematics Extension may be eligible to apply for their Extension to count towards the course requirements for:

  • Bachelor of Science
  • Other double degrees with Science
  • As electives in a non-Science single degree
  • As electives in Bachelor of Science Advanced Global Challenges (Honours) or Bachelor of Science Advanced Research (Honours)

Any units credited will show on your academic transcript as either 6 or 12 points against the course code of the degree in which you are enrolled. Students can apply for credit once they have enrolled in their undergraduate degree.

Students may also be able to credit their Extension study towards Bachelor degrees at other tertiary institutions.