• Class Number 3654
  • Term Code 3430
  • Class Info
  • Unit Value 6 units
  • Mode of Delivery In Person
    • Thomas Mutton
    • Thomas Mutton
  • Class Dates
  • Class Start Date 19/02/2024
  • Class End Date 24/05/2024
  • Census Date 05/04/2024
  • Last Date to Enrol 26/02/2024
SELT Survey Results

This is a course covering the elementary methods necessary for mathematical modelling. Emphasis will be placed on developing facility, technique and use in applications. Modelling of processes and phenomena which occur in economics, engineering and the physical, environmental and life sciences will be used as a vehicle throughout. This course also provides a pathway to higher level mathematics courses.

The course will cover functions, trigonometric identities, vectors, limits, continuity, derivatives and integration.

Learning Outcomes

Upon successful completion, students will have the knowledge and skills to:

  1. Develop critical thinking and problem solving skills, in the context of calculus.
  2. Describe the algebraic and graphical properties of elementary functions (linear, polynomial, exponential, logarithmic, trigonometric and their inverses) and their applications to engineering, economics and the sciences.
  3. Explain the significance of the derivative and integration and be able to apply techniques for differentiation and integration to situations in economics, engineering and the sciences.
  4. Understand the use of vectors in representing different coordinate systems.

Research-Led Teaching

Techniques covered in this course will be linked to applications in the physical and biological sciences, engineering and information technologies, economics and commerce.

Examination Material or equipment

A double-sided A4 summary page (handwritten) is allowed in the In-Class Exercise and the Final Examination. This page must be submitted with your exam paper.

Required Resources

Students need a computer to complete the online quizzes via the MATLAB Grader platform, and to access Wattle (they can use either an ANU computer or they can use their own device).

Essential Calculus 2nd edition by James Stewart (Cengage). Our main reference text.

Precalculus 10th or 11th edition by Ron Larson (Cengage; metric edition). Optional: lectures will cover the material that is not in Stewart.

Read the text before the material is considered in the lecture. This will increase your understanding of the material.

Recommended student system requirements 

ANU courses commonly use a number of online resources and activities including:

  • video material, similar to YouTube, for lectures and other instruction
  • two-way video conferencing for interactive learning
  • email and other messaging tools for communication
  • interactive web apps for formative and collaborative activities
  • print and photo/scan for handwritten work
  • home-based assessment.

To fully participate in ANU learning, students need:

  • A computer or laptop. Mobile devices may work well but in some situations, a computer/laptop may be more appropriate.
  • Webcam
  • Speakers and a microphone (e.g. headset)
  • Reliable, stable internet connection. Broadband recommended. If using a mobile network or wi-fi then check performance is adequate.
  • Suitable location with minimal interruptions and adequate privacy for classes and assessments.
  • Printing, and photo/scanning equipment

For more information please see https://www.anu.edu.au/students/systems/recommended-student-system-requirements


Staff Feedback

Students will be given written and verbal feedback as appropriate. Feedback may be provided to the whole course, to groups or to individuals.

Student Feedback

ANU is committed to the demonstration of educational excellence and regularly seeks feedback from students. Students are encouraged to offer feedback directly to their Course Convener or through their College and Course representatives (if applicable). The feedback given in these surveys is anonymous and provides the Colleges, University Education Committee and Academic Board with opportunities to recognise excellent teaching, and opportunities for improvement. The Surveys and Evaluation website provides more information on student surveys at ANU and reports on the feedback provided on ANU courses.

Class Schedule

Week/Session Summary of Activities Assessment
1 Functions:
  • Definition, Graph of a Function;
  • Analysing Graphs of Functions;
  • Library of Functions;
  • Graphing Techniques, including Transformations.
(Stewart 1.1, 1.2; Larson 1.4 - 1.7)[Textbook references are shown in brackets - they refer to Essential Calculus 2nd ed by James Stewart and Precalculus 10th ed by Ron Larson.]
No assessment due;Assignment 1 available.
2 Polynomial Functions:
  • Quadratic Functions and Models;
  • Polynomial Functions, Real and Complex Zeros;
  • Polynomial Division, Factor and Remainder Theorems.
(Larson 2.1 - 2.5)
Workshop participation;MATLAB Grader homework.
3 Composite Functions; Inverse Functions:
  • Rational Functions;
  • Composite Functions;
  • One-to-one Functions and Inverse Functions.
(Stewart 1.2, 5.1; Larson 2.6, 1.8, 1.9)
Workshop participation;Assignment 1 due.
4 Exponential and Logarithmic Functions:
  • Exponential Functions, the Number e;
  • Logarithmic Functions, Properties of Logarithms;
  • Exponential and Logarithmic Equations;
  • Exponential and Logarithmic Models.
(Larson 3.1 - 3.5)
Workshop participation;MATLAB Grader homework;Assignment 2 available.
5 Trigonometric and Inverse Trigonometric Functions:
  • Angles and their Measure;
  • Trigonometric Functions;
  • Graphs of Trigonometric Functions, Sinusoidal Curves;
  • Inverse Trigonometric Functions.
(Larson 4.1 - 4.7)
Workshop participation;MATLAB Grader homework.
6 Trigonometric Identities; Polar Coordinates:
  • Trigonometric Identities;
  • Combining Waves; Applications;
  • Polar Coordinates;
  • Polar Equations and Graphs.
(Larson 5.1 - 5.5, 10.7, 10.8)
Workshop participation;Assignment 2 due.
7 Vectors:
  • Three Dimensional Coordinate Systems;
  • Vectors in Two and Three Dimensions;
  • Dot Product;
  • Vector Projection; Orthogonal Decomposition.
(Larson 6.3, 6.4; Stewart 10.1 - 10.3)
In-Class Exercise (first lecture of the week);No workshop;MATLAB Grader homework;Assignment 3 available.
8 Limits and Continuity; The Derivative:
  • Limits;
  • Continuity;
  • Limits involving Infinity;
  • The Tangent Problem, Definition of the Derivative.
(Stewart 1.3 - 1.6, 2.1)
Workshop participation;MATLAB Grader homework.
9 Derivatives:
  • Differentiation, Rates of Change;
  • Rules for Differentiation;
  • Derivatives of the Trigonometric Functions;
  • Product Rule, Quotient Rule, Chain Rule;
  • Implicit Differentiation.
(Stewart 2.1 - 2.6)
Workshop participation;Assignment 3 due.
10 Applications of the Derivative:
  • Related Rates;
  • First and Second Derivatives, the Shapes of Graphs;
  • Curve Sketching;
  • Optimisation.
(Stewart 2.7, 3.1, 3.3 - 3.5)
Workshop participation;MATLAB Grader homework;Assignment 4 available.
11 Integrals:
  • Antiderivatives;
  • The Area Problem; the Definite Integral;
  • Evaluating Definite Integrals: the Fundamental Theorem;
  • The Substitution Rule.
(Stewart 3.7, 4.1 - 4.5)
Workshop participation;MATLAB Grader homework.
12 Applications of Integration:
  • Areas between Curves;
  • Volumes of Solids of Revolution;
  • Volumes by Slicing;
  • Review for the final exam.
(Stewart 7.1, 7.2)
Workshop participation;Assignment 4 due.

Tutorial Registration

Workshops start in Week 2. Workshops are compulsory. If students do not attend a workshop, they get no marks for that workshop. Students are required to enrol in one of the available weekly workshop groups using the ANU MyTimetable system. Please refer to the course Wattle site for more information.

Assessment Summary

Assessment task Value Learning Outcomes
Workshop Participation (best 8 of 10) 8 % 1,2,3,4
MATLAB Grader Homework 6 % 1,2,3,4
Written assignments (four assignments worth 4% each) 16 % 1,2,3,4
Assessable In-Class Exercise 20 % 1,2,3,4
Final Exam 50 % 1,2,3,4

* If the Due Date and Return of Assessment date are blank, see the Assessment Tab for specific Assessment Task details


ANU has educational policies, procedures and guidelines, which are designed to ensure that staff and students are aware of the University’s academic standards, and implement them. Students are expected to have read the Academic Misconduct Rule before the commencement of their course. Other key policies and guidelines include:

Assessment Requirements

The ANU is using Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. For additional information regarding Turnitin please visit the ANU Online website Students may choose not to submit assessment items through Turnitin. In this instance you will be required to submit, alongside the assessment item itself, hard copies of all references included in the assessment item.

Moderation of Assessment

Marks that are allocated during Semester are to be considered provisional until formalised by the College examiners meeting at the end of each Semester. If appropriate, some moderation of marks might be applied prior to final results being released.


Workshop participation is required. These workshops are the main place where students may obtain individual help. Students are supported to work cooperatively and share ideas. They should write the solutions to questions so that demonstrators can easily interact with students during the workshops.

Lecture attendance is highly encouraged; students who do not attend lectures are (statistically) more likely to have difficulties managing the required assessment. Lectures are routinely recorded through the Echo360 system and recordings are made available on the course Wattle page, however these should mostly be used for review purposes. Recordings are not a full substitute for regular lecture attendance.


This course includes a final examination. The details and mode of delivery for the final examination will be communicated through the ANU examination timetable and the course Wattle site.

Assessment Task 1

Value: 8 %
Learning Outcomes: 1,2,3,4

Workshop Participation (best 8 of 10)

Students are required to work on weekly worksheets and are highly encouraged to work cooperatively in groups (at a whiteboard if possible). The groups write solutions to questions so that workshop demonstrators can easily review and interact with their work. Students are expected to contribute on an ongoing basis throughout the semester. Your best 8 of 10 scores will be used to compute your grade.

Assessment Task 2

Value: 6 %
Learning Outcomes: 1,2,3,4

MATLAB Grader Homework

Seven MATLAB homework assignments are spread across the semester: the due dates and times will be specified on Wattle and/or in the MATLAB Grader platform. Late submissions will receive no marks. You will practise techniques and problem-solving with immediate feedback. Your best 6 of 7 scores are used to compute your grade for the MATLAB quizzes (4%), plus another portion of the mark (2%) will be for maintaining a workbook with the working you wrote down while completing the MATLAB quizzes. The workbook will be checked by your demonstrator in Week 11 or Week 12.

Assessment Task 3

Value: 16 %
Learning Outcomes: 1,2,3,4

Written assignments (four assignments worth 4% each)

The four Assignments will be due Friday Week 3, Thursday Week 6, Friday Week 9 and Friday Week 12. Theywill be made available 2 weeks prior to their due dates, and the grades are expected to be returned one week after submission. The Assignments are designed to build skills in interpretation, mathematical technique and clear mathematical expression and will be graded accordingly. Students must clearly justify their reasoning to explain how they arrived at their answers. If there is no explanation and there are no intermediate steps shown in the answer to a particular question, it will be given no marks. Poorly presented work will also be penalized.

Assessment Task 4

Value: 20 %
Learning Outcomes: 1,2,3,4

Assessable In-Class Exercise

This written exercise will be given during the first lecture in Week 7. It will be 45 minutes in length, covering content in the first 6 weeks of the course.

This written exercise is redeemable on the Final Exam in the following sense: If your Final Exam score is higher than your Assessable In-Class Exercise, your Final Exam will count for 70% and your Assessable In-Class Exercise 0%.

Assessment Task 5

Value: 50 %
Learning Outcomes: 1,2,3,4

Final Exam

This written exam is scheduled centrally by the ANU at the end of semester. It will be of three hours in length, covering the entire course. In order to pass the course, a student must achieve at least 40% of the marks available on the exam. If this hurdle requirement is not satisfied, where a student would otherwise have passed the course, they will be awarded an overall PX grade and offered a supplementary exam in accordance with ANU policies. Please check the ANU Examination Timetable and the course Wattle page to confirm the date, time and mode of the end-of-semester exam. (A draft timetable is published before the final timetable: be sure to check the final timetable.)

The Assessable In-Class Exercise is redeemable on the Final Exam in the following sense: If your Final Exam score is higher than your Assessable In-Class Exercise, your Final Exam will count for 70% and your Assessable In-Class Exercise 0%.

Academic Integrity

Academic integrity is a core part of our culture as a community of scholars. At its heart, academic integrity is about behaving ethically. This means that all members of the community commit to honest and responsible scholarly practice and to upholding these values with respect and fairness. The Australian National University commits to embedding the values of academic integrity in our teaching and learning. We ensure that all members of our community understand how to engage in academic work in ways that are consistent with, and actively support academic integrity. The ANU expects staff and students to uphold high standards of academic integrity and act ethically and honestly, to ensure the quality and value of the qualification that you will graduate with. The University has policies and procedures in place to promote academic integrity and manage academic misconduct. Visit the following Academic honesty & plagiarism website for more information about academic integrity and what the ANU considers academic misconduct. The ANU offers a number of services to assist students with their assignments, examinations, and other learning activities. The Academic Skills and Learning Centre offers a number of workshops and seminars that you may find useful for your studies.

Online Submission

You will be required to agree to a declaration as part of the submission of your assignments, that will record your understanding of ANU academic integrity principles. Assignments will normally be submitted online via a Wattle assignment submission tool. MATH1003 does not use Turnitin, having been granted an exemption.

Hardcopy Submission

For some forms of assessment (hand written assignments, art works, laboratory notes, etc.) hard copy submission is appropriate when approved by the Associate Dean (Education). Hard copy submissions must utilise the Assignment Cover Sheet. Please keep a copy of tasks completed for your records.

Late Submission

Except in the case that an extension has been granted, late assignments will not be accepted. An assignment not submitted by the due date and time, and without an extension, will generally be awarded a mark of zero. Unless an extension has been granted, Wattle will not allow late submissions. In particular, extensions will not be granted to cover timing misjudgements. You need to leave enough time to scan and upload your document, remembering to allow time for possible mishaps in the process.

Referencing Requirements

Accepted academic practice for referencing sources that you use in presentations can be found via the links on the Wattle site, under the file named “ANU and College Policies, Program Information, Student Support Services and Assessment”. Alternatively, you can seek help through the Students Learning Development website.

Returning Assignments

Marked assignments will be returned via Wattle. MATLAB Grader marks and feedback are provided automatically by the MATLAB Grader platform.

Extensions and Penalties

Extensions and late submission of assessment pieces are covered by the Student Assessment (Coursework) Policy and Procedure The Course Convener may grant extensions for assessment pieces that are not examinations or take-home examinations. If you need an extension, you must request an extension in writing on or before the due date. If you have documented and appropriate medical evidence that demonstrates you were not able to request an extension on or before the due date, you may be able to request it after the due date.

Resubmission of Assignments

Students cannot resubmit their assignments.

Privacy Notice

The ANU has made a number of third party, online, databases available for students to use. Use of each online database is conditional on student end users first agreeing to the database licensor’s terms of service and/or privacy policy. Students should read these carefully. In some cases student end users will be required to register an account with the database licensor and submit personal information, including their: first name; last name; ANU email address; and other information. In cases where student end users are asked to submit ‘content’ to a database, such as an assignment or short answers, the database licensor may only use the student’s ‘content’ in accordance with the terms of service — including any (copyright) licence the student grants to the database licensor. Any personal information or content a student submits may be stored by the licensor, potentially offshore, and will be used to process the database service in accordance with the licensors terms of service and/or privacy policy. If any student chooses not to agree to the database licensor’s terms of service or privacy policy, the student will not be able to access and use the database. In these circumstances students should contact their lecturer to enquire about alternative arrangements that are available.

Distribution of grades policy

Academic Quality Assurance Committee monitors the performance of students, including attrition, further study and employment rates and grade distribution, and College reports on quality assurance processes for assessment activities, including alignment with national and international disciplinary and interdisciplinary standards, as well as qualification type learning outcomes. Since first semester 1994, ANU uses a grading scale for all courses. This grading scale is used by all academic areas of the University.

Support for students

The University offers students support through several different services. You may contact the services listed below directly or seek advice from your Course Convener, Student Administrators, or your College and Course representatives (if applicable).
Thomas Mutton

Research Interests


Thomas Mutton

By Appointment
By Appointment
Thomas Mutton

Research Interests

Thomas Mutton

By Appointment
By Appointment

Responsible Officer: Registrar, Student Administration / Page Contact: Website Administrator / Frequently Asked Questions