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.

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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At least a Pass grade in EPMATH124 Mathematics Advanced.

Internal Mode

Problem Based Learning
Lecture
Tutorial

Lecture: for 2 hour(s) per Week for 12 weeks
Tutorial: for 2 hour(s) per Week for 12 weeks