### Subjects you can take from this area:

**Semester 1: MAST10018 Linear Algebra Extension Studies:** The subject gives a solid grounding in one of the key areas of modern mathematics needed in science and technology. It develops the concepts of vectors, matrices and the methods of linear algebra. Students should develop the ability to use the methods of linear algebra and will develop a capacity to write mathematical proofs. The topics covered are systems of linear equations, matrices and determinants; vectors in real n-space, cross product, scalar triple product, lines and planes; vector spaces, linear independence, basis, dimension; linear transformations, eigenvalues, eigenvectors; inner products, least squares estimation, symmetric and orthogonal matrices.

**Semester 2: MAST10019 Calculus Extension Studies** This subject extends knowledge of calculus beyond the standard school curriculum. Students are introduced to hyperbolic functions and their inverses, the complex exponential and functions of two variables. Techniques of differentiation and integration will be extended to these cases.

Students will be exposed to several classes of differential equation models, both first and second order, used to describe various real world systems. The subject also introduces sequences and series including the concepts of convergence and divergence.

Calculus topics include: intuitive idea of limits and continuity of functions of one variable, sequences, series, hyperbolic functions and their inverses, level curves, partial derivatives, chain rules for partial derivatives, directional derivative, tangent planes and extrema for functions of two variables. Integration topics include: techniques of integration and double integrals. Ordinary differential equations topics include: first order (separable, linear via integrating factor), second order constant coefficient (general and particular solutions).

Contact the Extension Program team if you have any questions about this subject area.

#### VCE requirements

Completion of Mathematical Methods 3/4 in Year 11 and enrolment in Specialist Mathematics 3/4 in Year 12 OR enrolment in Mathematical Methods 3/4 and Specialist Mathematics 3/4 in Year 12 after completion of Mathematical Methods 1/2 and General Mathematics (Specialist Mathematics orientation) 1/2 in Year 11.

#### IB requirements

Enrolment in IB Mathematics (HL).

**Please note:** VCE applicants with a B+ average in General Mathematics 1/2 will be considered. To be eligible, all other prerequisite mathematics subjects require A/A+ average.

Class location | Timetable | Annual fee | Start date |
---|---|---|---|

Braemar College, | Tuesday & Thursday 3:45pm - 5:30pm | $50 | 11/2/19 |

Camberwell Grammar School, | TBC | TBC | TBC |

Gippsland Grammar School, | Monday & Wednesday | $500 (For non-Gippsland Grammar Students) | 4/2/19 |

Melbourne Grammar School, | Wednesday | No fee | 6/2/19 |

Mill Park Secondary College* | TBC | TBC | TBC |

Overnewton Anglican Community College, Keilor | Tuesday | No fee | 11/2/19 |

Rosehill Secondary College, | Tuesday & Thursday 3:30pm - 5:00pm | No fee | 5/2/19 |

St Kevin's College, | Wednesday | $200 | 4/2/19 |

Westbourne Grammar School, | Tuesday | No fee | 29/1/19 |

*Mill Park Secondary College availability subject to completing teacher training

#### Total class hours per week

2 to 3 hours of classes, depending on the School Centre.

#### More information about this subject area

Visit the School of Mathematics and Statistics in the Faculty of Science.