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# Extension Mathematics

### Available in 2012

Callaghan Campus Semester 2

### Previously offered in 2013, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004

This course prepares students for the commencement of undergraduate study in those courses that require a sound knowledge of mathematical principles. The depth and content is similar to HSC 2 Unit Mathematics. It covers number systems, basic algebra, simultaneous and quadratic equations, functions and graphs, sequences and series, trigonometry and differential and integral calculus with applications.

Recommended for degrees in Mathematics, Engineering, Computer Science, Surveying and Biotechnology.

##### Objectives
The course will develop:
* an understanding of different number systems and how they are used within various scientific disciplines.
* the ability to apply algebraic skills for the solution of real world problems.
* the ability to apply graphical skills for the solution of real world problems.
* trigonometric skills sufficient for the understanding and practice of calculus.
* an understanding of differentiation and integration, both in theory and practice, and the ability to apply it to real world problems.
* the ability to communicate mathematics, orally and in writing.
* an understanding and correct use of mathematical notation.
* the formulation of real-world problems in the language of mathematics, and the ability to solve them.
##### Content
The course covers:
* number systems: natural numbers, rationals, integers, surds and real numbers.
* basic algebra: expanding, factoring, simplifying, solving equations and inequalities, quadratic equations, simultaneous equations.
* curve sketching lines, circles, parabolas, hyperbolae, ellipses, polynomials, rational functions.
* sequences and series: arithmetic and geometric progressions.
* trigonometry: trig ratios in triangles, for common angles, for angles of any size. Identities. Sine and cosine rules. Graphs.
* differentiation: definition; product, quotient, chain rules. Derivatives of common functions. Exponential and log functions. Applications.
* integration: definition, integration by substitution, exponential growth and decay, and other applications.
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##### Assumed Knowledge
Proficiency with algebra to at least Year 10 level.

Students who have not studied mathematics for some time would benefit from taking a Mathematics Bridging course prior to commencing the course.
Internal Mode
Lecture
Tutorial
##### Assessment Items
 Examination: ClassClass tests, 30% Essays / Written AssignmentsAssignments, 20% Examination: FormalFinal examination in the University examination period, 50%
##### Contact Hours
Lecture: for 5 hour(s) per Week for 12 weeks
Tutorial: for 1 hour(s) per Week for 11 weeks