MATHS 208 : General Mathematics 2


2024 Semester Two (1245) (15 POINTS)

Course Prescription

This sequel to MATHS 108 features applications from the theory of multi-variable calculus, linear algebra and differential equations to real-life problems in statistics, economics, finance, computer science, and operations research.

Course Overview

The course explores calculus, linear algebra, and differential equations in depth, and the connections between the areas are indicated. The course is designed to provide an understanding of many of the mathematical concepts and methods involved in more advanced subjects in Economics, Finance, Statistics, Operations Research, Computer Science and many other areas. The course also serves as suitable preparation for MATHS 120/130, and thus can be used as a pathway into the mathematics major.

This course could be of interest to students majoring in Economics, Finance, Statistics, Computer Science, Data Science, Operations Research, Chemistry and other science and commerce majors. Skills and knowledge gained after completion of this course could be beneficial to professionals from a variety of sectors, in particular, those that experience fast growth driven by the new technological advances.

Course Requirements

Prerequisite: 15 points from MATHS 108, ENGSCI 111, ENGGEN 150, or MATHS 120 and MATHS 130, or a B- or higher in MATHS 110 Restriction: Cannot be taken, concurrently with, or after MATHS 250, 253

Capabilities Developed in this Course

Capability 3: Knowledge and Practice
Capability 4: Critical Thinking
Capability 5: Solution Seeking
Capability 6: Communication
Capability 7: Collaboration
Graduate Profile: Bachelor of Science

Learning Outcomes

By the end of this course, students will be able to:
  1. Compute partial derivatives, directional derivatives, gradients, and integrals and use them to solve problems in multivariable calculus. (Capability 3, 4 and 5)
  2. Apply convergence tests to study sequences, series and power series, as well as, compute and manipulate Taylor series and Taylor polynomials. (Capability 3, 4 and 5)
  3. Use the theory of vector spaces to solve problems involving linear algebra. (Capability 3, 4 and 5)
  4. Use integration techniques (e.g., separation of variables, integrating factors and characteristic equations) to solve differential equations and systems of differential equations, as well as, apply numerical and qualitative techniques to study first order differential equations. (Capability 3, 4 and 5)
  5. Use mathematical notation and terminology logically and correctly. (Capability 3 and 6)
  6. Engage in group discussions and critical interactions. (Capability 3, 4, 6 and 7)


Assessment Type Percentage Classification
Coursework 20% Individual Coursework
Test 20% Individual Test
Quizzes 10% Individual Coursework
Final Exam 50% Individual Examination
Assessment Type Learning Outcome Addressed
1 2 3 4 5 6
Final Exam

In order to pass this course you must achieve a minimum mark of 35% on the final exam.


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.

Special Requirements

This course has one test, which will be conducted in the evening outside of normal lecture hours.

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 3 hours of lectures, a 1-hour tutorial, 3 hours of reading and thinking about the content and 3 hours of work on assignments and/or test preparation.

Delivery Mode

Campus Experience or Online

This course is offered in two delivery modes:

Campus Experience

  • Attendance is expected for scheduled events, including lectures and tutorials. 
  • Lectures will be available as recordings. There will not be live online events. 
  • The activities for the course are scheduled as a standard weekly timetable.


  • Attendance is expected at scheduled online activities, including tutorials, to receive credit for components of the course. 
  • Lectures will be available as recordings. There will be live online events, including tutorials, and these will not be recorded. 
  • Where possible, study material will be released progressively throughout the course. 
  • 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.

The MATHS 208 coursebook will be available on Canvas as a pdf, or may be purchased from ubiq, the on-campus bookstore.

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 feedback has not indicated a need for substantial changes to the course in 2023.

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.


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 10:52 a.m.