MATH110-23S1 (C) Semester One 2023

Foundations of Applied Mathematics

15 points

Start Date: Monday, 20 February 2023
End Date: Sunday, 25 June 2023
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 5 March 2023
  • Without academic penalty (including no fee refund): Sunday, 14 May 2023


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 mathematics and practical techniques for using, summarising and visualising data from a user’s point of view. The emphasis is on sensible and correct use or interpretation of mathematical and data analysis tools in real-life problems. The course assumes elementary levels of competence in mathematics. Microsoft Excel™ will be used as a tool within the course.
The emphasis of this course is on applying the methods covered in the course to problems, selecting sensible techniques, following the methodology and interpreting the results.  Practical Excel skills are taught as a tool for performing calculations and for analysing and visualising data.  Applications to commerce, the social sciences, humanities, science and engineering are considered.

Learning Outcomes

  • Students who pass this course will be able to:
  • 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 use the rules of exponents
    o solve linear equations and non-linear equations
    o interpret and solve inequalities
    o model linear and quadratic relationships
    o graph and interpret linear, quadratic, exponential and logarithmic models
    o apply equations used to calculate the area and volume of physical objects
    o apply trigonometry to simple geometric calculations
    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
  • Perform calculations using factorials, permutation, & combinations.  
  • Calculate probabilities using Venn diagrams and tabulated data
    o apply the additive rule, complements, and the multiplicative rule for independent events
  • Interpret the slope and intercept of a linear model between two variables
  • Use Excel to:
    o perform numerical calculations.
    o produce data visualisations including bar and pie charts, line charts and scatter plots
    o perform data analysis including data summaries (descriptive statistics), and two way table analyses using Pivot Tables.
    o fit a linear model to bivariate data using simple linear regression.
    • University Graduate Attributes

      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 2023

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 15:00 - 16:00 E7 Lecture Theatre
20 Feb - 2 Apr
24 Apr - 4 Jun
Lecture B
Activity Day Time Location Weeks
01 Tuesday 09:00 - 10:00 Jack Erskine 031 Lecture Theatre
20 Feb - 2 Apr
24 Apr - 4 Jun
Lecture C
Activity Day Time Location Weeks
01 Wednesday 09:00 - 10:00 A5 Lecture Theatre
20 Feb - 2 Apr
24 Apr - 4 Jun
Computer Lab A
Activity Day Time Location Weeks
01 Thursday 10:00 - 11:00 Jack Erskine 035 Lab 2
20 Feb - 2 Apr
24 Apr - 4 Jun
02 Thursday 15:00 - 16:00 Jack Erskine 035 Lab 2
20 Feb - 2 Apr
24 Apr - 4 Jun
03 Thursday 09:00 - 10:00 Jack Erskine 035 Lab 2
20 Feb - 2 Apr
24 Apr - 4 Jun
Computer Lab B
Activity Day Time Location Weeks
01 Friday 09:00 - 10:00 Jack Erskine 035 Lab 2
20 Feb - 2 Apr
24 Apr - 4 Jun
02 Friday 10:00 - 11:00 Jack Erskine 035 Lab 2
20 Feb - 2 Apr
24 Apr - 4 Jun
03 Friday 11:00 - 12:00 Jack Erskine 035 Lab 2
20 Feb - 2 Apr
24 Apr - 4 Jun

Course Coordinator

Jenny Harlow


Cameron Bell


Lab quizzes
Lab quizzes are online quizzes in Learn.  These quizzes enable you to practice the skills covered in the course.  The quizzes can be accessed from any computer with internet access.  Tutors will be available in the timetabled computer labs to support your work on the lab quizzes.
Each lab quiz can be attempted multiple times so that you can practice to master the material.  
There are 9 lab quizzes in total (for weeks 1-4, 6, 7-9, 11).  The lab quizzes for weeks 1 and 2 are not assessed.  The remaining 7 lab quizzes are assessed.  
Your best mark for each assessed lab quiz will count towards the course assessment provided that best mark meets or exceeds the mastery pass mark of 80%.  A best assessed quiz mark of 100% will gain a 4 percentage point credit in the course assessment.  A best assessed quiz mark of 80% will gain a 3.2 percentage point credit towards the course assessment.  A best assessed quiz mark of less than 80% will gain no credit towards the course assessment.  
Each quiz has an expected completion time to help you to structure your workload for the semester.  Quizzes will also be available after the expected completion time so that you can make further attempts and improve your best mark.
Lab quiz Expected completion
Week 1 Quiz 11.59 pm, Wednesday 1 March (not assessed)
Week 2 Quiz 11.59 pm, Wednesday 8 March (not assessed)
Week 3 Quiz 11.59 pm, Wednesday 15 March
Week 4 Quiz 11.59 pm, Wednesday 22 March
(no Lab Quiz for Week 5)
Week 6 Quiz 11.59  pm, Wednesday 26 April
Week 7 Quiz 11.59  pm, Wednesday 3 May
Week 8 Quiz 11.59 pm, Wednesday 10 May
Week 9 Quiz 11.59 pm, Wednesday 17 May
(no Lab Quiz for Week 10)
Week 11 Quiz 11.59 pm, Wednesday 31 May
(no Lab Quiz for Week 12)

Your best mark achieved on each assessed quiz before the day of the final exam will be downloaded from Learn and used in the calculation of your final grade for the course.
Please note that individual quizzes are worth less than 10% of the overall course assessment and are therefore not eligible for Special Consideration.  Please contact the Course Coordinator if you experience problems in completing the assessed lab quizzes so that we can discuss the best options to support you.  See Deadlines and Accessing Help below.

Additional Course Outline Information


For general information that applies to all students studying courses offered by the School of Mathematics & Statistics see School of Mathematics and Statistics, General Information for Students.  
This includes information about the Special Considerations process.  Note that Special Consideration is not available for individual assessment items worth less than 10% of the course assessment.  For this course this means that Special Consideration is not available for assessed lab quizzes and assignments.  Please see the information above about extensions for quizzes or assignments or contact the Course Coordinator before the specified assessment deadline if you will be unable to complete one of these assessments by the deadline.
Please note the information above about Special Considerations and the final examination.

Indicative Fees

Domestic fee $824.00

International fee $4,750.00

* 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

  • MATH110-23S1 (C) Semester One 2023