MATHS 110 : Mathematics for Natural Sciences


2023 Semester One (1233) (15 POINTS)

Course Prescription

A general entry to Mathematics for the natural sciences, following Year 13 Mathematics. Covers selected topics in algebra and calculus and their application to chemistry, biology and other natural sciences. Recommended Preparation: It is recommended that NCEA students have a rank score of at least 210 and a merit or excellence in the Differentiation Standard 91578. Prerequisite: MATHS 102 or 108 or at least 13 credits in Mathematics at NCEA Level 3, or D or better in Cambridge A2 Mathematics, C or better in AS Mathematics, pass in IB Mathematics: Analysis and Approaches (SL or HL)

Course Overview

Math 110 is designed for any student who needs to learn how mathematical techniques can be used in science. The course does not just cover the mathematical basics, it also shows how each mathematical method is applied to a scientific problem. There is a very strong focus on why each mathematical result is being taught and why it is useful. The course is aimed at students in Chemistry, Biology, Geology, Geography and other Natural Sciences, who need a stronger mathematical background for their degree. It is not designed for students who are already well-trained and confident in mathematics, computer science students, or those who wish to pursue a degree in highly mathematical areas such as theoretical physics. 

Course Requirements

Restriction: ENGGEN 150, ENGSCI 111, MATHS 208, 250. More than 15 points from MATHS 120 and 130

Capabilities Developed in this Course

Capability 1: Disciplinary Knowledge and Practice
Capability 2: Critical Thinking
Capability 3: Solution Seeking
Graduate Profile: Bachelor of Science

Learning Outcomes

By the end of this course, students will be able to:
  1. Apply units and measurement in a scientific context. (Capability 1 and 3)
  2. Understand the principles of uncertainty and the propagation of error. (Capability 1 and 2)
  3. Understand and apply elementary functions and their properties as needed. (Capability 1 and 3)
  4. Understand vectors and their properties, and use them to solve problems. (Capability 1 and 3)
  5. Create and analyze appropriate matrix equations and solve them computationally. (Capability 1 and 3)
  6. Apply differential and integral calculus routine operations with ease. (Capability 1)
  7. Understand, evaluate, and apply elementary calculus geometrically and algebraically. (Capability 1 and 2)
  8. Understand, evaluate, and apply calculus to solve problems (optimisation, accumulations, etc). (Capability 1, 2 and 3)
  9. Apply mathematical concepts to scientific problems. (Capability 1, 2 and 3)


Assessment Type Percentage Classification
Final Exam 50% Individual Examination
Test 20% Individual Test
Assignments 15% Group & Individual Coursework
Quizzes 10% Group & Individual Coursework
Tutorials 5% Group Coursework
Assessment Type Learning Outcome Addressed
1 2 3 4 5 6 7 8 9
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

For further information on the Tuākana Maths programme, please visit

Key Topics

  1. Units & Measurement
  2. Functions
  3. Linear Algebra (Vectors, Matrices & Linear Systems)
  4. Differential Calculus
  5. Integral 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 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

  • Attendance is expected for scheduled lectures and required for scheduled, group-based tutorials. 
  • Lectures will be recorded but we cannot guarantee that recordings of all lectures will be available. Lecture recordings should be used as an additional resource, not as a replacement for lectures. Tutorials will not be available as recordings. 
  • 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.

MATHS 110 has its own course book, which will be available online for free as well as being available for purchase at UBIQ in printed form.

Other Online resources will also be indicated and made available throughout the semester.

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.

No changes will be made due to student feedback.

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 02:53 p.m.