# MATHS 110 : Mathematics for Science

## Science

### 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 International Baccalaureate Mathematics, or equivalent

### 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 thus a very strong focus on why each mathematical result is being taught, and why it is useful. However, the course is not designed for students who are already well-trained and confident in mathematics, or for any student who wishes to pursue a degree in highly mathematical areas such as theoretical physics. Neither is it well-designed for computer science students. Rather, it is aimed more at students in Chemistry, Biology, Geology, Geography, and other Natural Sciences, who need a stronger mathematical background for their degree.

### Course Requirements

Restriction: ENGEN 150, ENGSCI 111, MATHS 150, 153, 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

### Learning Outcomes

By the end of this course, students will be able to:
1. Correctly make use of 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. Recognise and make use of elementary functions and their properties. (Capability 1 and 3)
4. Work with vectors and their properties to solve problems. (Capability 1 and 3)
5. Construct appropriate matrix equations and solve computationally. (Capability 1 and 3)
6. Perform differential and integral calculus routine operations with ease. (Capability 1)
7. Interpret elementary calculus geometrically and algebraically. (Capability 1 and 2)
8. Use calculus to solve problems (optimisation, accumulations, etc). (Capability 1, 2 and 3)
9. Apply mathematical concepts to scientific problems. (Capability 1, 2 and 3)

### Assessments

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
1 2 3 4 5 6 7 8 9
Final Exam
Test
Assignments
Quizzes
Tutorials
You must achieve at least 35% in the final exam in order to pass the course.

### Tuākana

The Tuākana maths room and tutors are available to provide assistance throughout the semester. They are a dedicated and friendly group! For further information please visit
https://www.auckland.ac.nz/en/science/study-with-us/pacific-in-our-faculty.html
https://www.auckland.ac.nz/en/science/study-with-us/maori-in-our-faculty.html

### Key Topics

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

### Learning Resources

MATHS 110 has its own course book which covers (a little more than) all of the course content. The course book will be available online for free as well as being available for purchase at UBIQ in printed form.

Online resources will also be pointed out/made available throughout the semester.

### Special Requirements

There are no special requirements for this course. The mid-semester test will be run in class.

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 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.

### 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.

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 http://disability.auckland.ac.nz

### 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: https://www.auckland.ac.nz/en/students/academic-information/exams-and-final-results/during-exams/aegrotat-and-compassionate-consideration.html.

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 (https://www.auckland.ac.nz/en/students/forms-policies-and-guidelines/student-policies-and-guidelines/student-charter.html).

### Disclaimer

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 11/01/2020 03:09 p.m.