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These units develop and extend the material listed for Mathematical Methods Units 1 and 2, and familiarity with this material is assumed. Students study material in the area of functions and graphs, algebra, calculus and probability and statistics. They make effective and appropriate use of CAS calculators during the course to enhance the learning of mathematics.

**Algebra**

- Review of polynomial algebra and properties such as symmetry.
- Inverse, composite and sums, differences and products of functions.
- Solution of equations including numeric, graphic and algebraic methods.
- Literal and simultaneous equations.

**Calculus**

- Review of the tangent and derivative function.
- Graphs of the derivative and anti-derivative function.
- Derivative and anti-derivatives of polynomial, power, circular and exponential and logarithmic functions.
- The chain, product and quotient rules for differentiation.
- informal treatment of the fundamental theorem of integral calculus.
- Application to curve sketching.
- Calculation of rates of change, equations of tangents, areas beneath and between curves, distance travelled and average function and maximum-minimum problems.

**Functions and Graphs**

- Graphical representation of functions including polynomial, power, circular and exponential and logarithmic functions.
- Graphs of transformations of the above functions.

**Statistics and Probability**

- Discrete and continuous random variables including binomial and normal distributions.
- Means, variance and standard deviation.
- Probability density functions.
- Statistical inference including population parameters and sample statistics.
- Sample proportions and sample proportions as a random variable.
- Confidence intervals.

**https://www.vcaa.vic.edu.au/curriculum/vce/vce-study-designs/mathematicalmethods/Pages/Index.aspx**

Students complete a Headstart program of study in Polynomials and Functions & Relations during the summer holidays to give them a solid foundation in these mathematical skills and a practice SAC so as to prepare them for their first assessment SAC which are in the form of topic tests.

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Introducing Nelson VCE Mathematics ' the only VCE series where every question is exam practice! Written specifically for the new Study Design, this series provides clear and concise theory and worked examples. Its structure and content are based on relevant VCE exam questions from 2002 to 2014, while incorporating exam-style questions for the new Study Design content.

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