Mathematics Advanced

Course code EPMATH124Units 10English Language & Foundation Studies Centre

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.

Available in 2014

Callaghan CampusSemester 1
OurimbahSemester 1
Previously offered in 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004
ObjectivesIn 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.
ContentThe 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.
Replacing Course(s)NA
TransitionNA
Industrial Experience0
Assumed KnowledgeMathematical techniques equivalent to year 10 School Certificate, Advanced Level.
Modes of DeliveryInternal Mode
Teaching MethodsLecture
Tutorial
Assessment Items
Examination: ClassExamination in class: Progressive assessment totalling 50%.
Examination: Formal50% - duration 2 hours
Contact HoursLecture: for 2 hour(s) per Week for 12 weeks
Tutorial: for 2 hour(s) per Week for 12 weeks
Timetables2014 Course Timetables for EPMATH124