The course teaches the mathematical foundations of models in economics, business and finance and its applications. Mathematical topics covered include set theory, functions, series, limits, univariate and multivariate calculus, unconstrained and constrained optimisation, matrix algebra. Applications include effective interest rates, present value, annuities, production functions, average and marginal cost functions, profit maximisation.

Learning Outcomes

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

1. demonstrate an understanding of mathematical techniques discussed;
2. be able to formulate economic problems in mathematical terms and apply the tools provided to analyse them correctly and precisely;
3. demonstrate an understanding of the common functional forms and rules used in derivatives and integrals of functions that frequently appear in economic models;
4. apply the basic principles of maximisation and minimisation to optimisation problems in economics and find the correct solutions to these problems;
5. apply matrix algebra to simple economic problems and linear models, demonstrating the ability to solve linear systems of equations in matrix form;
6. make use of basic principles of financial arithmetic in economic and financial problems to compute solutions.

Research-Led Teaching

Basic techniques used in economic research are developed.

Field Trips

N/A.

Additional Course Costs

N/A.

Examination Material or equipment

Have a computer with internet available. Open book exam.

Required Resources

"Solved Problems" textbook. This textbook will be available for free download on Wattle as a PDF file.

Recommended Resources

N/A.

Staff Feedback

Students will be given feedback in the following forms in this course:

• written comments (individual marking and correct solutions for the homework will be available to students, plus written solutions to all tutorial problems)
• verbal comments during tutorials and office hours (consultation times)
• feedback to the whole class with comments on the academic performance of the class during the tutorials and homework

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	Scientific method	Slides and "Solved Problems" Textbook
2	Numbers, functions, equations and inequalities, systems, polynomials	Slides and "Solved Problems" Textbook
3	set theory	Slides and "Solved Problems" Textbook
4	logic, basics of trigonometry, the tangent function	Slides and "Solved Problems" Textbook, homework 1 has a deadline of Wednesday 17 August, marked by 02 September
5	limits	Slides and "Solved Problems" Textbook
6	derivatives	Slides and "Solved Problems" Textbook
7	rates of change, other economic applications	Slides and "Solved Problems" Textbook
8	optimisation and other economic applications	Slides and "Solved Problems" Textbook, homework 2 has a deadline of Wednesday 28 September, marked two weeks after the deadline
9	introduction to multivariable calculus, integration (1)	Slides and "Solved Problems" Textbook
10	integration (2)	Slides and "Solved Problems" Textbook
11	introduction to matrices	Slides and "Solved Problems" Textbook
12	Matrices, determinants, Cramer Rule, and linear systems	Slides and "Solved Problems" Textbook, final exam in examination period

Tutorial Registration

ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage. https://www.anu.edu.au/students/program-administration/timetabling].

Assessment Summary

Assessment task	Value	Due Date	Return of assessment	Learning Outcomes
Homework 1	10 %	17/08/2022	02/09/2022	1,2
Homework 2	10 %	28/09/2022	14/10/2022	1,2,3,4
Final Exam	80 %	*	*	1,2,3,4,5,6

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

Policies

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:

• Student Assessment (Coursework) Policy and Procedure
• Special Assessment Consideration Policy and General Information 
• Student Surveys and Evaluations
• Deferred Examinations
• Student Complaint Resolution Policy and Procedure

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 Academic Integrity . In rare cases where online submission using Turnitin software is not technically possible; or where not using Turnitin software has been justified by the Course Convener and approved by the Associate Dean (Education) on the basis of the teaching model being employed; students shall submit assessment online via ‘Wattle’ outside of Turnitin, or failing that in hard copy, or through a combination of submission methods as approved by the Associate Dean (Education). The submission method is detailed below.

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.

Participation

This course will be delivered on campus, face to face with ECHO360. Online videos are available. Echo360 recordings will be available for students who are unable to attend live lectures, and for students to review classes. A zoom tutorial will be available for students unable to make campus due to travel restrictions. Details on the delivery of this course and expectations of student participation are outlined in further detail on the Wattle course site. We expect students to attend all classes and tutorials if they can and to study continuously during the entire semester for this very challenging, technical course.

Examination(s)

Details about the final exam will be available on Wattle before week 10.

Assessment Task 1

Homework 1

Homework 1 covers the basics of sets, functions, numbers, graphs, algebra, equations, inequalities, polynomials, systems of equations, logs, exponentials, tangent function and the trigonometric circle, decimals, fractions, and percentages. Homework 1 covers all topics taught up to and including week 04. The questions will be posted on Wattle one week before the deadline. The deadline is Wednesday 17 August. The homework will be marked as soon as possible and surely before two weeks or the census day, whichever comes first. No late submission will be accepted. The homework 1 questions will be on Wattle. Only one attempt. Open book. The solution will be provided after marking. More information will be provided in Wattle before week 3.

Assessment Task 2

Homework 2

Homework 2 covers all topics taught before or during week 08. The questions will be posted on Wattle one week before the deadline. The deadline is Wednesday 28 September. The homework will be marked as soon as possible and surely before two weeks. No late submission will be accepted. The homework 2 questions will be on Wattle. Only one attempt. Open book. The solution will be provided after marking. More information will be provided in Wattle before week 7.

Assessment Task 3

Final Exam

Final exam after the course classes end, covering all the contents of the entire course in slides, videos, the textbook, classes, or tutorials. The exam questions will be posted on Wattle. The 90-minute final exam will be marked and the results announced on the official date when all ANU results are announced. No late submission will be accepted. This exam will be on Wattle. Only one attempt. Open book. More information will be provided in Wattle before week 10.

Academic Integrity

Academic integrity is a core part of the ANU culture as a community of scholars. At its heart, academic integrity is about behaving ethically, committing to honest and responsible scholarly practice and upholding these values with respect and fairness.

The ANU commits to assisting all members of our community to 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 be familiar with the academic integrity principle and Academic Misconduct Rule, 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 Academic Misconduct Rule is in place to promote academic integrity and manage academic misconduct. Very minor breaches of the academic integrity principle may result in a reduction of marks of up to 10% of the total marks available for the assessment. The ANU offers a number of online and in person services to assist students with their assignments, examinations, and other learning activities. Visit the Academic Skills website for more information about academic integrity, your responsibilities and for assistance with your assignments, writing skills and study.

Online Submission

You will be required to electronically sign a declaration as part of the submission of your assignment. Please keep a copy of the assignment for your records. Unless an exemption has been approved by the Associate Dean (Education) submission must be through Turnitin.

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

Late submission not permitted. If submission of assessment tasks without an extension after the due date is not permitted, a mark of 0 will be awarded for late submission.

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

Homework grades will be returned in at most two weeks from the deadline. The final exam grade will be announced at the ANU official day of course result announcements at the end of the semester.

Extensions and Penalties

Extensions and late submission of assessment pieces are covered by the Student Assessment (Coursework) Policy and Procedure. Extensions may be granted 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

No re-submission of any assignment will be permitted in this course.

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).

• ANU Health, safety & wellbeing for medical services, counselling, mental health and spiritual support
• ANU Diversity and inclusion for students with a disability or ongoing or chronic illness
• ANU Dean of Students for confidential, impartial advice and help to resolve problems between students and the academic or administrative areas of the University
• ANU Academic Skills and Learning Centre supports you make your own decisions about how you learn and manage your workload.
• ANU Counselling Centre promotes, supports and enhances mental health and wellbeing within the University student community.
• ANUSA supports and represents undergraduate and ANU College students
• PARSA supports and represents postgraduate and research students