MATH110-22S1 (C) Semester One 2022

# Foundations of Applied Mathematics and Statistics

15 points

Details:
 Start Date: Monday, 21 February 2022 End Date: Sunday, 26 June 2022
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 6 March 2022
• Without academic penalty (including no fee refund): Sunday, 15 May 2022

## 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 and use 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 interpret a range of basic statistical procedures in
o data analysis: summary statistics and graphics;
o probability: calculations and identification/application of distributions;
o estimation: estimation of parameters and confidence intervals;
• Solve equations 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 understand and describe how derivatives and integrals relate to graphical functions (slope of and area under curves)
o apply equations used to calculate the area and volume of physical objects
o recognise the crucial 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 both linear and non-linear data using Excel x-y plots
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 plot appropriate parts (groups of variables) from an equation onto the x and y axes of a graph to test the fit of given data to the equation (“model”)
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.

## Timetable 2022

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 11:00 - 12:00 E16 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Lecture B 01 Tuesday 11:00 - 12:00 E16 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Lecture C 01 Wednesday 11:00 - 12:00 E16 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Computer Lab A 01 Thursday 11:00 - 12:00 Jack Erskine 035 Lab 2 21 Feb - 10 Apr 2 May - 5 Jun 02 Thursday 13:00 - 14:00 Jack Erskine 035 Lab 2 21 Feb - 10 Apr 2 May - 5 Jun 03 Thursday 14:00 - 15:00 Jack Erskine 035 Lab 2 21 Feb - 10 Apr 2 May - 5 Jun Computer Lab B 01 Friday 09:00 - 10:00 Jack Erskine 035 Lab 2 21 Feb - 10 Apr 2 May - 5 Jun 02 Friday 10:00 - 11:00 Jack Erskine 035 Lab 2 21 Feb - 10 Apr 2 May - 5 Jun 03 Friday 14:00 - 15:00 Jack Erskine 035 Lab 2 21 Feb - 10 Apr 2 May - 5 Jun

## Assessment

Labs quizzes (8 @ 3% each) 24%
Assignments (2 @ 8% each) 16%
Timetabled lab participation  5%
Final Examination 55%

To obtain a passing grade in this course you must obtain at least 50% overall and at least 50% in each part of the final examination (mathematics and statistics).

## Textbooks / Resources

Barton, David , Cox, David; Essential maths and stats : for higher education ; Pearson, 2013.

Lock, Robin H. et al; Statistics : unlocking the power of data ; Second edition; Wiley, 2017.

## Indicative Fees

Domestic fee \$802.00

International fee \$4,563.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

## All MATH110 Occurrences

• MATH110-22S1 (C) Semester One 2022