MATH110-21S2 (C) Semester Two 2021

# Foundations of Applied Mathematics and Statistics

15 points

Details:
 Start Date: Monday, 19 July 2021 End Date: Sunday, 14 November 2021
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 1 August 2021
• Without academic penalty (including no fee refund): Friday, 1 October 2021

## Description

Introduction to trigonometry and algebra. Emphasis on solving problems relevant to design, physical, life and earth sciences as well as to commerce and the humanities. An introduction to the ideas, techniques and applications of statistics and probability.

This course provides a foundation of statistics and mathematics from a user’s point of view. The emphasis is on sensible and correct use of statistical and mathematical tools in real-life problems. It will assume elementary levels of competence in  mathematics. Microsoft Excel™ will be used as a tool within the course.

This course has been developed using a competency-based structure. As the material is almost entirely based on skill development, this is best learnt at a mastery level. This means that you are expected to “master” the material, as shown by a pass cut-off mark of 80% for the lab quizzes.

## Learning Outcomes

• Students who pass this course will be able to:
• Use Excel to perform numerical and statistical calculations and produce diagrams and graphs.
• Understand a range of basic statistical concepts in
o data analysis: uncertainty, variation, summary statistics;
o probability: the meaning of probability, sets, events and distributions;
o estimation: samples, populations, parameters, estimates and uncertainty;
• Perform and/or interpret basic statistical procedures involving
o data analysis: summary statistics and graphics;
o probability: calculations and random variables;
o estimation: estimation of population parameters and confidence intervals;
• Use equations and formulae that describe various physical phenomena encountered in science and engineering
o use basic algebra to simplify expressions and rearrange equations
o solve both linear and non-linear equations
o apply trigonometry to simple geometric calculations
o use the rules of exponents
o interpret the slope and area under a curve in an applied context (such as acceleration, velocity, displacement)
o calculate an approximation to the area under a curve
o apply equations used to calculate the area and volume of physical objects
o recognise the differences between x-y scatter and line plots for plotting data in Excel
o be able to determine the equation of a line of best fit for linear data using Excel
o use Excel to calculate an equation for a range of values for at least one of the variables, and to plot an equation for comparison with a given data set
o qualitatively describe the relative effects of changing the variables in an equation

This course will provide students with an opportunity to develop the Graduate Attributes specified below:

 Critically competent in a core academic discipline of their award Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.

## Assessment

Exam 55%
Assignments (2 @ 8% each) 16%
Weekly lab quizzes 24%
Lab/tutorial participation 5%

To obtain a passing grade in this course you must obtain at least 50% overall.