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# VCE Mathematics

### Mathematics Further

In accordance to the VCAA Further Mathematics Study Design (06-12), students in our Further Mathematics Unit 3 and Unit 4 courses will become theoretically proficient in:

1. Univariate and Bivariate data, linear relations, graphs and modelling, as well as several other key topics from Unit 1 and 2.
2. Data Analysis
3. Number Patterns
4. Geometry and Trignometry
5. Graphs and Relations
6. Business-related Mathematics
7. Networks and Decision Mathematics
8. Matrices

In addition, they will also be taught the methods and skills required for them to:

1. define and explain the key terms and concepts learnt from both the core and module learning areas
2. employ the knowledge learnt to solve routine application problems
3. use acquired mathematical methods to analyse an extended practical problem, interpret the outcome of the problem and evaluate the suitability of the methods used in terms of their key features
4. select and use appropriate technology to develop mathematical ideas, investigate results and carry out analysis in situations that require problem-solving and modelling techniques
5. analyse and discuss the applications of the Mathematics principles learnt

### Mathematical Methods (Computer Algebra System)

In accordance to the VCAA Mathematical Methods (CAS) Study Design (06-12), students in our Mathematical Methods (CAS) Unit 3 and Unit 4 courses will become theoretically proficient in:

1. Graph sketching, Transformations and Equation solving
2. Rules and Types of functions
3. Algebra Techniques
4. Circular Functions
5. Derivatives and Differentiation
6. Anti-differentiation and Integration
7. Random Variables
8. Matrices
9. Discrete and Continuous Probability Distribution

In addition, they will also be taught the methods and skills required for them to:

1. define and explain the key mathematical concepts learnt and apply the acquired knowledge to a range of related mathematical routines and procedures.
2. expand the knowledge learnt by applying learnt mathematical concepts to non-routine contexts, and analyse these applications of mathematics.
3. select and use appropriate CAS and other technology to develop mathematical ideas, investigate results and carry out analysis in situations that require problem-solving and modelling techniques

### Mathematics Specialist

In accordance to the VCAA Mathematical Specialist (CAS) Study Design (06-12), students in our Mathematical Specialist (CAS) Unit 3 and Unit 4 courses will become theoretically proficient in:

1. Functions, Relations and Graphs
2. Advanced modelling and graphic techniques
3. Rational, real and complex arithmetic
4. Algebraic Manipulation
5. Diagrams and Geometric construction
6. Complex Differentiation and Integration
7. Kinematics and Mechanics
8. Vector Representation and Proof
9. Vector Calculus
10. Vector Modelling

In addition, they will also be taught the methods and skills required for them to:

1. define and explain the key mathematical terms and concepts learnt and apply the acquired knowledge to a range of related mathematical routines and procedures, both manually and with the aid of appropriate technology.
2. apply mathematical processes, with an emphasis on general cases, in non-routine contexts
3. explore and such application of mathematics
4. select and use appropriate technology to develop mathematical ideas, investigate results and carry out analysis in situations that require problem-solving and modelling techniques

What is happening in class?
1. Classes will commence early Jan 2019 for VCE and IB subjects. Year 5-10s will commence late Jan '19.
2. Enrolment open for 2019 - places are very limited so please register early.