MTH172 Mathematics (8)

In this CSU-TPC subject, students learn the skills and knowledge required to solve every day and work related mathematical problems using mensuration in two and three dimensions including areas and volumes, similarity of two-dimensional figures, linear and non-linear functions and spherical geometry, trigonometry and introductory algebra.

Students also learn the skills and knowledge required to understand how statistics are used in real-world situations. Students will learn how to analyse and compare univariate data sets using measures of centre and measures of spread; examine and describe relationships between bivariate data sets using correlation and make predictions using linear regression.

No offerings have been identified for this subject in 2020.

Where differences exist between the Handbook and the SAL, the SAL should be taken as containing the correct subject offering details.

Subject Information

Grading System

SY/US

Duration

One session

School

Division of Student Services

Enrolment Restrictions

Restricted to students enrolled in the CSU Pathway Program - Diploma of General Studies.

Assumed Knowledge

Cert III level mathematics and statistics or year 12 2 Unit mathematics

Learning Outcomes

Upon successful completion of this subject, students should:
  • Be able to use mensuration of perimeters, areas and volumes to solve practical problems;
  • Be able to use similarity properties of two dimensional figures to solve practical problems;
  • Be able to use trigonometric concepts, functions and formulae to solve practical problems;
  • Be able to apply the mathematical model of the sphere to solve problems of distance and time on earth;
  • Be able to apply mathematics in commercial situations;
  • Be able to use linear relations and their graphs to solve practical problems;
  • Be able to use non-linear algebraic functions and their graphs to solve practical problems;
  • Be able to calculate and compare univariate data sets using measures of centre and spread for populations;
  • Be able to examine and describe relationships between bivariate data sets using correlation;
  • Be able to make predictions using linear regression; and
  • Be able to use relevant statistical language and notations appropriately.

Syllabus

This subject will cover the following topics:
  • Mensuration in two and three dimensions (area and volume)
  • Similarity of two-dimensional figures
  • Trigonometry
  • Spherical geometry
  • Linear and non-linear functions
  • Modelling
  • Wage and salary calculations
  • Simple and compound interest and depreciation
  • Sampling techniques in statistics
  • Survey design and collection of data
  • Statistical diagrams
  • Measures of centre
  • Measures of spread
  • 5 number summary and boxplots
  • Univariate data sets
  • Bivariate data correlation
  • Regression
  • Time series and simple probability
  • Tree diagrams, mutually exclusive and independent events

Indicative Assessment

The following table summarises the assessment tasks for the online offering of MTH172 in Term 3 2019. Please note this is a guide only. Assessment tasks are regularly updated and can also differ to suit the mode of study (online or on campus).

Item Number
Title
Value %
1
Test 1 nswtstt302 - stats
2
Test 1 -nswmth401
0
3
Test 2 nswtstt302 - stats
4
Research project nswtstt302
0
5
Final exam nswtstt302
6
Final exam nswtmth401
0

The information contained in the CSU Handbook was accurate at the date of publication: October 2020. The University reserves the right to vary the information at any time without notice.

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