Not available in 2014
Previously offered in 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003
EPMATH102 extends topics such as trigonometry and applications of calculus, and then covers topics such as inverse functions, mathematical induction, probability and binomial theory. The depth and treatment of this course is similar to Higher School Certificate Mathematics, Extension 1. EPMATH102 continues from EPMATH101 to complete a year of mathematics suitable for students preparing to enter undergraduate courses requiring a strong mathematical background.
| Objectives | Students will: 1. develop a thorough understanding of the concepts covered by each topic and be able to demonstrate this ability by recognising when, where and how specific mathematical skills can be applied. 2. be able to use mathematical language, both written and oral with confidence, correctly and efficiently. 3. be expected to develop the ability to make deductions and apply reasoning to mathematical tasks. 4. strengthen knowledge and understanding of Mathematics necessary both for concurrent study in related subjects and in preparation for undergraduate studies in Mathematics and related areas. |
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| Content | 1. Probability: finite sample space, Venn diagrams, successive outcomes and tree diagrams. 2. Trigonometric circular functions: radian measure, graphs, differentiation and integration. 3. Exponential and logarithmic functions: evaluation of e, differentiation and integration. 4. Further trigonometry: applications in 3D, addition theorems, products as sums/differences and the reverse. Application of formulae to trig equations. 5. Applications of calculus: rates of change. Exponential growth and decay, related rates, kinematics, SHM and projectile motion. 6. Polynomials: division, remainder and factor theorems, root approximations by iterative methods. 7. Inverse functions: 1-1 correspondence, inverse trig graphs and their properties, differentiation and integration. 8. Mathematical Induction. 9. Permutations and Combinations. 10. Binomial theory. |
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| Replacing Course(s) | NA | ||||||
| Transition | NA | ||||||
| Industrial Experience | 0 | ||||||
| Assumed Knowledge | Advanced Mathematics I or equivalent. | ||||||
| Modes of Delivery | Internal Mode | ||||||
| Teaching Methods | Tutorial | ||||||
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| Contact Hours | Tutorial: for 9 hour(s) per Week for 13 weeks |