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Overview

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 TFCMATHS  93F is assumed.  Some knowledge of basic  material found in TFCMATHS  92F is expected and extension work on the similar 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 preparation for further study. Entry to this course is guaranteed for any TFC student who attains at least a B (or B- for students admitted under UTAS) in TFCMATHS 93F. Entry to this course is guaranteed for any TFC students commencing their studies in Semester 2 and who are enrolled in the Engineering Pathway. TFC students who performed well in TFCMATHS 91F may also be offered a place in TFCMATHS 94F, subject to availability.

Key Topics

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  • Geometry and Trigonometry including trigonometric functions including basic geometric reasoning problems, Pythagoras' theorem, and trigonometric ratios in two and three dimensions. Transformations of trigonometric functions, solution of simple trigonometric equations.
  • Non-Linear Graphs including parabolae, cubics, hyperbolae, and circles. Properties of the discriminant. Finding intersections of straight lines with parabolae, cubics, hyperbolae, and circles.
  • Functions including definitions of different types of functions and their properties. Composite functions, rational functions, exponential functions and piecewise functions. Find inverses of rational functions.
  • Introduction to Calculus including sketching gradient functions, differentiation of polynomial functions and composite functions. Using differentiation to find equations of tangents and normals. Using differentiation to solve optimisation problems. Integration of polynomial functions, including finding bounded areas and kinematics.

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.

Course Prerequisites, Corequisites and Restrictions

Prerequisite
Restriction

Advice on Course Limits

This is a limited entry course: there is a limit on the number of enrolments due to staff or space capacity. In cases where the courses is taught under two separate codes (e.g. concurrently taught courses, general education courses) the course limit specified is the total across both versions of the course. For more information, please see the Programme and Course Limitations section of the University Academic and General Statutes and Regulations.

Locations and Semesters Offered

LocationSemester
City

Teaching and Learning

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

Taught courses use a learning and collaboration tool called Canvas to provide students with learning materials including 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.

Additional Information on 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. Students are also provided with access to an online Maths website.

A graphics calculator is recommended but not compulsory.

Copyright

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.

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.

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.

Similarly, research students must meet the University’s expectations of good research practice. This requires:

  • Honesty - in all aspects of research work
  • Accountability - in the conduct of research
  • Professional courtesy and fairness – in working with others
  • Good stewardship – on behalf of others
  • Transparency – of research process and presentation of results
  • Clarity - communication to be understandable, explainable and accessible

For more information on the University’s expectations of academic integrity, please see the Academic Conduct section of the University policy hub.

Disclaimer

Elements of this outline may be subject to change. The latest information about taught courses is made available to enrolled students in Canvas.

Students may be asked to submit assessments digitally. The University reserves the right to conduct scheduled tests and examinations 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.


Assessment and Learning Outcomes

Course Learning Outcomes

CLO #OutcomeProgramme Capability Link
1
2
3
4
5
6
7
8

Assessments

Assessment TypeAssessment PercentageAssessment Classification

Additional Information on Assessment

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

Special Requirements

Students are expected to attend all tutorials and assessments in person on campus.

Assessment to CLO Mapping

Assessment Type12345678

Student Feedback, Support and Charter

Student Feedback

Feedback on taught courses is gathered from students at the end of each semester through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback and respond with summaries and actions. Your feedback helps teachers to improve the course and its delivery for future students. In addition, class Representatives in each class can take feedback to the department and faculty staff-student consultative committees.

Additional Information on Student Feedback

Student feedback is appreciated in this course. The CANVAS course includes advice from previous students about this course. Other feedback received in previous years have resulted in changes to course weightings and modes of assessment.

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.

Tuākana

Tuākana 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 Tuakana Learning Communities.

Additional Information on Tuākana

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.

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.

Wellbeing

We all go through tough times during the semester, or see our friends struggling. There is lots of help out there - please see the Support Services page for information on support services in the University and the wider community.

Special Circumstances

If your ability to complete assessed work 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 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.

Student Academic Complaints and Disputes

Students with concerns about teaching including how a course is delivered, the resources provided, or supervision arrangements, have the right to express their concerns and seek resolution. The university encourages informal resolution where possible, as this is quicker and less stressful. For information on the informal and formal complaints processes, please refer to the Student Academic Complaints Statute in the Student Policies and Guidelines section of the Policy Hub.