TFCMATHS 94F : Foundation Mathematics 4


2023 Semester Two (1235) (15 POINTS)

Course Prescription

This mathematics course aims to use the skills learnt in TFCMATHS 93F to develop an understanding of functions, including differential functions, in their tabular, algebraic and graphical representations. This course prepares students for MATHS 102.

Course Overview

This is a one-semester course designed for students who at present lack the  necessary  background  for  some  tertiary  courses  in  mathematics. Knowledge  of  material  covered  in  TFC  Maths  93F  is  assumed.  Some knowledge  of  basic  material  found  in  TFCMaths  92F  is  expected  and extension  work  on  the  same  topics  are  presented.  The  course  focuses  on the development of mathematical skills and concepts. The aim is to build confidence and foster enjoyment in mathematics, as well as to provide a preparation for further study. 

Course Requirements

Restriction: MATHS 94F

Capabilities Developed in this Course

Capability 1: Disciplinary Knowledge and Practice
Capability 2: Critical Thinking
Capability 3: Solution Seeking
Capability 4: Communication and Engagement
Capability 5: Independence and Integrity
Capability 6: Social and Environmental Responsibilities

Learning Outcomes

By the end of this course, students will be able to:
  1. Develop and demonstrate a knowledge of the accepted conventions of mathematical notation and representation. (Capability 1 and 4)
  2. Develop and demonstrate a good understanding of basic trigonometry. (Capability 1 and 3)
  3. Develop and demonstrate a good knowledge of algebraic manipulative skills. (Capability 1, 3 and 5)
  4. Identify, explain and evaluate problem solving strategies. (Capability 1, 2, 3, 4 and 5)
  5. Discover and develop expertise in sketching graphs of linear and non-linear functions. (Capability 1, 3, 4 and 6)
  6. Develop and demonstrate a good understanding of functions. (Capability 1 and 2)
  7. Develop and demonstrate a good understanding of calculus. (Capability 1, 2 and 3)


Assessment Type Percentage Classification
Quizzes 4% Individual Coursework
Final Exam 35% Individual Examination
Assignments 16.5% Individual Coursework
Tests 37% Individual Coursework
Coursework 7.5% Group Coursework
Assessment Type Learning Outcome Addressed
1 2 3 4 5 6 7
Final Exam

Students must achieve at least 35% in the Final Exam to pass this course.


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For further information on the Tuākana Maths programme, please visit

Key Topics

  • Trigonometry including trigonometric functions
  • Non-Linear Graphs
  • Functions
  • Introduction to Calculus

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 each week of this course, you can expect 4 hours of lectures, 3 hours of reading and thinking about the content and 3 hours of work on assignments and/or test preparation.

Delivery Mode

Campus Experience

  • Attendance is required at scheduled activities including tutorials and all assessment opportunities to complete components of the course.
  • Lectures will be available as recordings, provided timetabled rooms have the requisite technology to allow this. Other learning activities including collaborative activities will not be available as recordings.
  • The course will not include live online events.
  • 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.

Students are provided with a course book, lecture slides, work-sheets for further practice and directed to a number of websites for further practice too. There is no recommended text. Students are also provided with access to an online Maths website.

A graphics calculator is recommended but not compulsory.

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.

TFC appoints student representatives for the whole programme, not for individual courses.

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 against online source material 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.


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 28/10/2022 11:28 a.m.