• Class Number 6464
• Term Code 3370
• Class Info
• Unit Value 6 units
• Mode of Delivery In Person
• COURSE CONVENER
• Dr James Tener
• LECTURER
• Dr James Tener
• Kenny Wiratama
• Class Dates
• Class Start Date 20/11/2023
• Class End Date 22/12/2023
• Census Date 01/12/2023
• Last Date to Enrol 20/11/2023
SELT Survey Results

Mathematics and Applications 2 (MATH1014)

This course continues on from MATH1013. It emphasises an understanding of the fundamental results from calculus and linear algebra which both can be applied across a range of fields including the physical and biological sciences, engineering and information technologies, economics and commerce, and can also serve as a base for future mathematics courses. Many applications and connections with other fields will be discussed although not developed in detail.

Topics to be covered include:

Calculus - Integration and techniques of integration, including multiple and iterated integrals. Sequences and series. Functions of several variables - visualisation, continuity, partial derivatives, and directional derivatives. Lagrange multipliers.

Linear Algebra - theory and application of Euclidean vector spaces. Vector spaces: linear independence, bases and dimension; eigenvalues and eigenvectors; orthogonality and least squares.

## Learning Outcomes

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

1. Explain the fundamental concepts of calculus and linear algebra and their role in modern mathematics and applied contexts. These concepts include vector spaces, eigenvalues and eigenvectors, orthogonality and least squares in linear algebra; and integration, sequences and series, functions of several variables, and partial differential equations in calculus.
2. Demonstrate accurate and efficient use of calculus and linear algebra techniques as they relate to the concepts listed above.
3. Demonstrate capacity for mathematical reasoning through explaining concepts from calculus and linear algebra.
4. Apply problem-solving using calculus and linear algebra techniques applied to diverse situations in physics, engineering and other mathematical contexts.

## Examination Material or equipment

Note sheets will be supplied for the examinations; no outside materials are permitted (except: an unmarked English-to-foreign-language dictionary is allowed).

## Required Resources

(1) Essential Calculus (second edition) by James Stewart.

(2) Linear Algebra and its Applications (fourth, fifth, or sixth edition) by David Lay - available online through the ANU Library.

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

## Staff Feedback

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

• sample solutions

## 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). Feedback can also be provided to Course Conveners and teachers via the Student Experience of Learning & Teaching (SELT) feedback program. SELT surveys are confidential and also provide the Colleges and ANU Executive with opportunities to recognise excellent teaching, and opportunities for improvement.

## Other Information

Please note that the timing of the class content is subject to variation.

## Class Schedule

Week/Session Summary of Activities Assessment
1 Improper integrals, sequences and series, convergence tests, power series; 3 dimensional geometry, abstract vector spaces. First online quiz due, four workshops.
2 Taylor series, parametric curves, arc length, polar coordinates; coordinate systems and dimension, Markov chains. First mini-exam, online quizzes due, four workshops.
3 Areas and lengths, functions of several variables, partial derivatives, tangent planes, chain rule and directional derivatives; eigenvectors, diagonalisation, discrete dynamical systems. Second mini-exam, online quizzes due, four workshops.
4 Max/min values, Lagrange multipliers, double integrals; inner products, orthogonal projection, QR factorisation and least squares. Third mini-exam, online quizzes due, four workshops.

## Tutorial Registration

Workshops will begin on the first day of class. See Wattle for essential information about registration.

## Assessment Summary

Mid-semester mini-exams 45 % 1,2,3,4
Final exam 45 % 1,2,3,4
Online Quiz Assignments 8 % 1,2,4
Workshop participation 2 % 1,2,3,4

* 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 Integrity 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 Academic Skills website. 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

We believe that discussing mathematics is one of the best ways to master the material. Students are expected to engage actively and respectfully in cooperative problem-solving during the workshops and laboratories. Students are strongly encouraged to attend lectures and ask questions!

## Examination(s)

This course includes a final examination. Further information about the timing and format of the final examination will be given via the Course Wattle site.

In order to pass MATH1014, there are hurdle requirements that students must meet on the final exam: students are required to achieve both at least 35% of the marks for the linear algebra half, and 35% of the marks for the calculus half, of the final exam. Students who do not meet the hurdle requirements, but whose overall course score comes to at least 45, will be given a temporary PX grade and offered supplementary assessment. If they are then successful in that supplementary assessment, they are awarded a 50 PS grade for the course. If they are not successful in the supplementary assessment, students who are offered a supplementary exam because of not meeting a hurdle receive an NCN failing grade. (Note: students with an overall course score of 44 or less are not eligible to attempt supplementary assessment.)

Value: 45 %
Learning Outcomes: 1,2,3,4

Mid-semester mini-exams

There will be three mini-exams which will collectively serve as a mid-semester exam. The mini-exams will take place during Weeks 2, 3, and 4 of the course. The mid-semester exam will evaluate students' understanding of course material covered up through the previous week of class. The precise extent of assessable material will be announced on Wattle, along with the schedule. It is a hurdle requirement for the course to take at least 2 of the mini-exams, unless specifically arranged otherwise. Students who do not take at least two mini-exams without making other arrangements will receive an NCN grade.

Value: 45 %
Learning Outcomes: 1,2,3,4

Final exam

The final exam will be a cumulative assessment of the material covered in the entire course, although the emphasis will be on material not yet assessed. The final exam date and information about the timing and format of he exam will be posted on Wattle.

In order to pass MATH1014, there are hurdle requirements that students must meet on the final exam: students are required to achieve both at least 35% of the marks for the linear algebra half, and 35% of the marks for the calculus half, of the final exam. Students who do not meet the hurdle requirements, but whose overall course score comes to at least 45, will be given a temporary PX grade and offered supplementary assessment. If they are then successful in that supplementary assessment, they are awarded a 50 PS grade for the course. If they are not successful in the supplementary assessment, students who are offered a supplementary exam because of not meeting a hurdle receive an NCN failing grade. (Note: students with an overall course score of 44 or less are not eligible to attempt supplementary assessment.)

Value: 8 %
Learning Outcomes: 1,2,4

Online Quiz Assignments

There will be 8 quizzes through an online platform, covering recent topics from the linear algebra and calculus topics. Students enrolled in the class will receive information on how to access the online quizzes at the beginning of the term. Further information will be posted on the course Wattle site.

Value: 2 %
Learning Outcomes: 1,2,3,4

Workshop participation

Students will be expected to attend and participate in workshop discussions. These will be based on both the Calculus and Linear Algebra topics. Further information will be posted on the course Wattle site.

Academic integrity is a core part of the ANU culture as a community of scholars. The University’s students are an integral part of that community. The academic integrity principle commits all students to engage in academic work in ways that are consistent with, and actively support, academic integrity, and to uphold this commitment by behaving honestly, responsibly and ethically, and with respect and fairness, in scholarly practice.

The University expects all staff and students to be familiar with the academic integrity principle, the Academic Integrity Rule 2021, the Policy: Student Academic Integrity and Procedure: Student Academic Integrity, and to uphold high standards of academic integrity to ensure the quality and value of our qualifications.

The Academic Integrity Rule 2021 is a legal document that the University uses to promote academic integrity, and manage breaches of the academic integrity principle. The Policy and Procedure support the Rule by outlining overarching principles, responsibilities and processes. The Academic Integrity Rule 2021 commences on 1 December 2021 and applies to courses commencing on or after that date, as well as to research conduct occurring on or after that date. Prior to this, the Academic Misconduct Rule 2015 applies.

The University commits to assisting all students to understand how to engage in academic work in ways that are consistent with, and actively support academic integrity. All coursework students must complete the online Academic Integrity Module (Epigeum), and Higher Degree Research (HDR) students are required to complete research integrity training. The Academic Integrity website provides information about services available to assist students with their assignments, examinations and other learning activities, as well as understanding and upholding academic integrity.

## Online Submission

You will be required to electronically sign a declaration as part of the submission of any assignment (note: this is not required for online quizzes, and no other homework assignments are planned for MATH1014 in Spring 2023). If an assignment submission is required, 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

Individual assessment tasks may or may not allow for late submission. Policy regarding late submission is detailed below:

• 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.

## Referencing Requirements

The Academic Skills website has information to assist you with your writing and assessments. The website includes information about Academic Integrity including referencing requirements for different disciplines. There is also information on Plagiarism and different ways to use source material.

## Returning Assignments

Online assignments offer immediate feedback in the form of correct answers, and sample solutions for some of the questions are available after the submission date. Marked mini-exams will be available the following week and discussed during workshop. Students are advised to check marks entered for all assignments and to contact the course convener if they have concerns.

## 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.

## 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.
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.

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).

## Convener

 Dr James Tener

james.tener@anu.edu.au

### Research Interests

Conformal field theory, subfactors, operator algebas, vertex operator algebras, fusion categories.

### Dr James Tener

 By Appointment Sunday

## Instructor

 Dr James Tener james.tener@anu.edu.au

### Dr James Tener

 By Appointment Sunday

## Instructor

 Kenny Wiratama kenny.wiratama@anu.edu.au

### Research Interests

Conformal field theory, subfactors, operator algebas, vertex operator algebras, fusion categories.

 Sunday