TFCMATHS 94F : Foundation Mathematics 4


2020 Semester Two (1205) (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  found  in  TFC  Maths  93F  is  assumed.  Some knowledge  of  basic  material  found  in  TFCMaths  92F  is  expected  and extension  work  on  the  same  topics  is  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 a knowledge of the accepted conventions of mathematical notation and representation (Capability 1 and 4)
  2. Develop an understanding of basic trigonometry (Capability 1 and 3)
  3. Develop and demonstrate algebraic manipulative skills (Capability 1, 3 and 5)
  4. Identify and experience problem solving strategies (Capability 1, 2, 3, 4 and 5)
  5. Develop experience in sketching graphs of linear and non-linear functions (Capability 1, 3, 4 and 6)
  6. Develop an understanding of functions (Capability 1 and 2)
  7. Develop an understanding of calculus (Capability 1, 2 and 3)


Assessment Type Percentage Classification
Quizzes 4% Individual Coursework
Final Exam 45% Individual Coursework
Assignments 12% Individual Coursework
Tests 27% Individual Coursework
Coursework 12% 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.


For further information please visit 

Key Topics

There are four main topic areas:
Trigonometry including trigonometric functions
Non-Linear Graphs
Introduction to Calculus

Learning Resources

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. A graphics calculator is recommended but a scientific calculator will suffice.

Special Requirements

There are no special requirements.

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 4 hours of lectures, up to 4 tutorials per semester, 3 hours of reading and thinking about the content and 3 hours of work on assignments and/or test preparation.

Digital 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.


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.

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.

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 at

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.

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.

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 you may be asked to submit your 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. The final decision on the completion mode for a test or examination, and remote invigilation arrangements where applicable, will be advised to students at least 10 days prior to the scheduled date of the assessment, or in the case of an examination when the examination timetable is published.

Published on 06/04/2020 11:19 a.m.