Mathematics Advanced

Course code EPMATH125Units 10English Language & Foundation Studies Centre

EPMATH125 Mathematics Advanced prepares students for undergraduate courses requiring a background in mathematics. The depth and treatment of this course is similar to 2 Unit Higher School Certificate mathematics. Topics include calculus (differentiation and integration), applications to the physical world and to trigonometry, exponential and logarithmic functions, growth and decay, probability and the binomial theorem.

Available in 2015

Callaghan CampusSemester 2
OurimbahSemester 2
Previously offered in 2014
ObjectivesIn this 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 suitable for the commencement of undergraduate degree courses requiring a high level of mathematical facility.
ContentThe course covers:
1.Sequences and Series: arithmetic and geometric sequences, general term, sum to n terms and limiting sum.
2.Introductory Calculus: stationary points, curve sketching, problems on maxima and minima, continuity and limits, the second derivative and points of inflection.
3.Integral calculus, primitives, the area under a curve, definite and indefinite integrals, volumes of solids of revolution. Approximate area under a curve - Trapezoidal and Simpson's Rule.
4.The calculus of exponential and logarithmic functions. Differentiation and integration related to exponential and logarithmic functions.
5. Trigonometric functions: radian measure, differentiation and integration related to trigonometric functions; curve sketching.
6. Calculus in the physical world - rates of change, displacement, velocity and acceleration.
7.Exponential growth and decay.
8.Probability: Venn diagrams, tree diagrams, counting techniques, permutations and combinations, the binomial probability distribution.
Replacing Course(s)NA
TransitionNA
Industrial Experience0
Assumed KnowledgeAt least a Pass grade in EPMATH124 Mathematics Advanced.
Modes of DeliveryInternal Mode
Teaching MethodsProblem Based Learning
Lecture
Tutorial
Assessment Items
Examination: ClassProgressive assessment consisting of class tests, 50%.
Examination: FormalFinal examination 50%. The duration of the exam will be two hours. Assess ability to solve problems and integrate various key concepts.
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 EPMATH125