Undergraduate - UnitMTH1010 - Functions and their applications

This unit entry is for students who completed this unit in 2013 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

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Level	Undergraduate
Faculty	Faculty of Science
Organisational Unit	School of Mathematical Sciences
Offered	Clayton First semester 2013 (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

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.