Undergraduate - UnitMTH1010 - Functions and their applications

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered, or view unit timetables.

Synopsis

Functions, domain and range, function representation; different types of functions including linear, exponential, logarithmic, trigonometric, polynomial and rational functions; function algebra; composition of functions; inverse of functions; transformations; modelling with functions; rates of change; introduction to differentiation and integration, including techniques and applications.

Outcomes

On completion of this unit students will have acquired knowledge of: the notions of function and their representation as tables, graphs or mathematical expressions; basic characteristics of linear, exponential, trigonometric, and polynomial functions; algebra of functions and inverse functions; the notions of rate of exchange, differentiation and integration; will have developed skills in: identifying linear, exponential, logarithmic, periodic, polynomial, and rational patterns in graphs, tables, and mathematical expressions; using function algebra, calculating composition of functions and inverse functions; transforming functions through shifting, scaling and reflection; using functions as models of real- life behaviour; calculating simple derivatives and integrals; using computer algebra software to investigate the behaviour of functions, and their transformations and combinations, and as an aid in the modelling of real-life problems; and will have developed and/or strengthened the ability to present mathematical arguments in writing.

Assessment

Examination (3 hours): 60%
Assignments and tests: 40%
Student must pass the final examination to be granted a pass grade.

Chief examiner(s)

Mr John McCloughan

Contact hours

Three 1-hour lectures and one 2-hour support class per week

Prohibitions

MTH1049. Please note that students who have already completed MTH1020, MTH1030 or MTH1035 cannot enrol in MTH1010.