Available in 2013
|Callaghan Campus||Semester 1|
Previously offered in 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.
|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.
|Assumed Knowledge||Mathematical techniques equivalent to year 10 School Certificate, Advanced Level.|
|Modes of Delivery||Internal Mode|
|Contact Hours||Lecture: for 2 hour(s) per Week for 12 weeks
Tutorial: for 2 hour(s) per Week for 12 weeks
|Timetables||2013 Course Timetables for EPMATH124|