Undergraduate - UnitMTH1010 - Functions and their applications

This unit entry is for students who completed this unit in 2014 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

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6 points, SCA Band 2, 0.125 EFTSL

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

Level	Undergraduate
Faculty	Faculty of Science
Organisational Unit	School of Mathematical Sciences
Offered	Clayton First semester 2014 (Day)
Coordinator(s)	Mr John McCloughan

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 be able to:

Describe the properties of elementary functions by means of tables, graphs and mathematical expressions;

Manipulate functions using a range of methods from algebra and calculus;

Apply functions and appropriate mathematical tools to model simple physical systems;

Demonstrate proficiency in using a computer to solve simple mathematical problems;

Communicate mathematical arguments in written form.

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

Workload requirements

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

This unit applies to the following area(s) of study

Mathematics and statistics

Prerequisites

It is recommended that students will have successfully completed either VCE Mathematical Methods 1/2 or VCE Further Mathematics 3/4 or equivalent. Students without one of these may need to undertake additional private study beyond the normal workload requirements.

Prohibitions

ENG1090, ENG1091, MTH1049, MTH1020, MTH1030, MTH1035 and MTH1040. Note that MTH1010 can only be completed prior to MTH1020 and MTH1030/MTH1035 or equivalent. Students who have achieved a study score of at least 25 in VCE Mathematical Methods units 3/4 (or equivalent) are not permitted to enrol in MTH1010.