Available in 2014
| Callaghan Campus | Semester 1 |
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| Ourimbah | Semester 1 |
Previously offered in 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004
Mathematics Advanced prepares students for undergraduate courses requiring a background in mathematics. This first semester course is a prerequisite for EPMATH125 Advanced Mathematics in the second semester. The depth and treatment of this course is similar to 2 Unit Higher School Certificate mathematics. Topics include algebra, surds, solution of equations, trigonometry, functions, co-ordinate geometry and differential calculus.
| Objectives | In the 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. |
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| Content | The course covers: 1.Surds: operations, simplifying, rationalising denominators. 2.Basic algebra: simplifying algebraic expressions, solving equations using formulae and factorisation, algebraic fractions. 3. Functions: linear, quadratic, cubic, semi-circle, absolute value, exponential, reciprocal. 4.Trigonometry: The ratios, angles of elevation and depression, exact ratios, angles of any magnitude, graphs, relations between the trigonometric ratios (reciprocal, complementary) , Pythagorean identities and trigonometric equations. 5.Coordinate Geometry: linear functions using the Cartesian coordinate system, distance, mid-point and gradient, determining straight line equations, distance of a point to a line. 6. Differential Calculus, rates of change, derivative from first principles, rules for differentiation, product, function of a function, quotient. Equations of tangents and normals. |
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| Replacing Course(s) | NA | ||||
| Transition | NA | ||||
| Industrial Experience | 0 | ||||
| Assumed Knowledge | Mathematical techniques equivalent to year 10 School Certificate, Advanced Level. | ||||
| Modes of Delivery | Internal Mode | ||||
| Teaching Methods | Lecture
Tutorial |
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| Assessment Items |
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| Contact Hours | Lecture: for 2 hour(s) per Week for 12 weeks Tutorial: for 2 hour(s) per Week for 12 weeks |
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| Timetables | 2014 Course Timetables for EPMATH124 |