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## EPMATH125

### Available in 2012

Callaghan Campus Semester 2 Semester 2

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

EPMATH125 Mathematics Advanced prepares students for undergraduate courses requiring a background in mathematics. The depth and treatment of this course is similar to 2 Unit Higher School Certificate mathematics. Topics include calculus (differentiation and integration), applications to the physical world and to trigonometry, exponential and logarithmic functions, growth and decay, probability and the binomial theorem.

##### Objectives
In this course students will:
1.Obtain a background in topics mentioned in the brief course description.
2.Develop students' mathematical skills equivalent to 2 Unit HSC level.
3.Demonstrate a broad understanding of the course suitable for the commencement of undergraduate degree courses requiring a high level of mathematical facility.
##### Content
The course covers:
1.Sequences and Series: arithmetic and geometric sequences, general term, sum to n terms and limiting sum.
2.Introductory Calculus: stationary points, curve sketching, problems on maxima and minima, continuity and limits, the second derivative and points of inflection.
3.Integral calculus, primitives, the area under a curve, definite and indefinite integrals, volumes of solids of revolution. Approximate area under a curve - Trapezoidal and Simpson's Rule.
4.The calculus of exponential and logarithmic functions. Differentiation and integration related to exponential and logarithmic functions.
5. Trigonometric functions: radian measure, differentiation and integration related to trigonometric functions; curve sketching.
6. Calculus in the physical world - rates of change, displacement, velocity and acceleration.
7.Exponential growth and decay.
8.Probability: Venn diagrams, tree diagrams, counting techniques, permutations and combinations, the binomial probability distribution.
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