TFCMATHS 89F : Mathematics for Arts


2024 Semester One (1243) (15 POINTS)

Course Prescription

Includes several important mathematical ideas within historical, environmental, societal, political, financial, justice, entertainment and cultural contexts. Will also be guided by the interests of its learners as citizens and consumers, who will be encouraged to draw on the mathematics they are already familiar with. Aimed at linking mathematics to the world of students who are likely to be non-STEM majors.

Course Overview

TFC MATHS 89F aims to build confidence by  demonstrating the roles mathematics plays behind human and natural activities and situations. Mathematics  will be explored through themes of Problem Solving, Proportional Reasoning, Approximate Measurements, Political systems such as   MMP, Exponentials and loans, Probability and False positives and negatives, and Simple Statistics, to support investigations. 
Successful completion of this course will meet the University of Auckland numeracy entry requirement. Further, completion of this course with at least a B- grade will provide students with entry to TFC MATHS 91F.

Course Requirements

No pre-requisites or restrictions

Capabilities Developed in this Course

Capability 1: People and Place
Capability 2: Sustainability
Capability 3: Knowledge and Practice
Capability 4: Critical Thinking
Capability 5: Solution Seeking
Capability 6: Communication
Capability 7: Collaboration

Learning Outcomes

By the end of this course, students will be able to:
  1. Estimate reasonable answers to problems. (Capability 3, 4, 5 and 6)
  2. Investigate proportional situations, including percentage problems. (Capability 3, 4 and 5)
  3. Solve problems choosing relevant maths formulae. (Capability 3, 5 and 6)
  4. Actively contribute to team collaborative activities by helping to arrive at group solutions to a number of tasks. (Capability 1, 3, 5, 6 and 7)
  5. Use straightforward graphs and relate to rates, time and other quantities. (Capability 3, 4, 5 and 6)
  6. Express maths in written form to communicate mathematical and statistical ideas to solve problems. (Capability 3, 4, 5, 6 and 7)
  7. Interpret the mathematics in real-life situations then reflect critically on how well their solutions match up. (Capability 1, 2, 3, 4, 5, 6 and 7)
  8. Use any of several possible problem-solving strategies to answer problems. (Capability 3, 4, 5, 6 and 7)


Assessment Type Percentage Classification
Assignments (3) 12% Individual Coursework
Quizzes (5) 5% Individual Coursework
Presentation 7% Group Coursework
Group Work Collaborations (2) 6% Group Coursework
Test - Mid Semester 30% Individual Coursework
Test - Final 40% Individual Coursework
Assessment Type Learning Outcome Addressed
1 2 3 4 5 6 7 8
Assignments (3)
Quizzes (5)
Group Work Collaborations (2)
Test - Mid Semester
Test - Final
Students must achieve a minimum mark of at least 35% on the Final Test in order to pass the course. 


Tuākana Science is a multi-faceted programme for Māori and Pacific students providing topic specific tutorials, one-on-one sessions, test and exam preparation and more. Explore your options at

Whanaungatanga and manaakitanga are fundamental principles of our Tuākana Mathematics programme which provides support for Māori and Pasifika students who are taking mathematics courses. The Tuākana Maths programme consists of workshops and drop-in times, and provides a space where Māori and Pasifika students are able to work alongside our Tuākana tutors and other Māori and Pasifika students who are studying mathematics.

Key Topics

  • Problem Solving, including strategies such as working backwards, trial and error, draw a diagram or use equipment, etc.
  • Gaming and chance, including Long-run and theoretical comparisons, Simple Odds, Branching diagrams, False Positives, etc.
  • Politics and votes, including systems such as MMP and Preferential voting
  • Environmental and Societal ideas, including Impacted areas, Loan sharks, Human decisions on land and water, and on each other.

Special Requirements

  • Expect full attendance and participation in lectures.
  • Each aspect of course work is compulsory.
  • The Mid-Semester Test will run either in the evening outside of normal hours or across two teaching sessions. This is usually held in the sixth week of semester, according to availability of venues. Any updates will be shown in the schedule provided in Week One.

Workload Expectations

This course is a standard 15-point course and students are expected to spend 10 hours per week involved in each 15-point course that they are enrolled in. For this course, you can expect a total of 48 hours of lectures, 10 hours of tutorials, 30 hours of  thinking about the content and doing homework, 32 hours of work on assignments and test/exam preparation - plus a 2-hour Final Test and 90 minute Mid-Semester Test.

Delivery Mode

Campus Experience

Attendance is expected at scheduled activities including tutorials to complete and to receive credit for components of the course.
Lectures will be available as recordings. Other learning activities including tutorials will not be available as recordings.
The course will not include live online events including .
Attendance on campus is required for the tests.
The activities for the course are scheduled as a standard weekly timetable.

Learning Resources

Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).

Please remember that the recording of any class on a personal device requires the permission of the instructor.

  • Course books for this course are available to students in Week One and Week Six of the semester, or electronically on Canvas.
  • Calculators
  • Excel spreadsheet availability
  • Desmos graphing package (in class)

Student Feedback

During the course Class Representatives in each class can take feedback to the staff responsible for the course and staff-student consultative committees.

At the end of the course students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback.

Your feedback helps to improve the course and its delivery for all students.

Feedback from students is particularly useful if they cannot find something on Canvas, or if a resource needs to be unlocked, or if any symbols or notation are unclear or unknown -  a glossary of these could assist in the first course book.

Student questions about how to interpret assignment or other assessment tasks are encouraged, and on occasion these have assisted to clarify a question. However, what is submitted must be always be a student's own work.

Other Information

Ensure you become familiar with the lecture schedule. This will be available about two weeks before the course begins and will provide you with all the dates of assessments, and approximately when chapters begin for the whole course.

Academic Integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the internet. A student's assessed work may be reviewed for potential plagiarism or other forms of academic misconduct, using computerised detection mechanisms.

Class Representatives

Class representatives are students tasked with representing student issues to departments, faculties, and the wider university. If you have a complaint about this course, please contact your class rep who will know how to raise it in the right channels. See your departmental noticeboard for contact details for your class reps.

This will be organised through the Tertiary Foundation Certificate team.


The content and delivery of content in this course are protected by copyright. Material belonging to others may have been used in this course and copied by and solely for the educational purposes of the University under license.

You may copy the course content for the purposes of private study or research, but you may not upload onto any third party site, make a further copy or sell, alter or further reproduce or distribute any part of the course content to another person.

Inclusive Learning

All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor.

Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website

Special Circumstances

If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.

If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page

This should be done as soon as possible and no later than seven days after the affected test or exam date.

Learning Continuity

In the event of an unexpected disruption, we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and course assessment continues to meet the principles of the University’s assessment policy. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator/director, and if disruption occurs you should refer to the university website for information about how to proceed.

The delivery mode may change depending on COVID restrictions. Any changes will be communicated through Canvas.

Student Charter and Responsibilities

The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter


Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.

In this course students may be asked to submit coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. In exceptional circumstances changes to elements of this course may be necessary at short notice. Students enrolled in this course will be informed of any such changes and the reasons for them, as soon as possible, through Canvas.

Published on 31/10/2023 10:54 a.m.