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 2015

Callaghan CampusSemester 1
OurimbahSemester 1
Previously offered in 2014
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
Industrial Experience0
Assumed KnowledgeMathematical techniques equivalent to year 10 School Certificate, Advanced Level.
Modes of DeliveryInternal Mode
Teaching MethodsLecture
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
Timetables2015 Course Timetables for EPMATH124