• Offered by Mathematical Sciences Institute
• ANU College ANU Joint Colleges of Science
• Course subject Mathematics
• Areas of interest Mathematics
• Academic career UGRD
• Course convener
• Dr Griffith Ware
• Dr Linda Stals
• Dr Muhammad Khusyairi
• Mode of delivery In Person
• Offered in First Semester 2018
Second Semester 2018
Advanced Mathematics and Applications 1 (MATH1115)

This course begins an in-depth study of the fundamental concepts of calculus and linear algebra, with a particular emphasis on the underlying foundations of mathematics. The use and understanding of proof and abstract ideas, will allow students to develop analytical skills which will form a base for further study in fundamental mathematics as well as providing a foundation for a wide range of quantitative areas such as actuarial studies, computer science, engineering, economics, statistics and physics.

Topics to be covered include: Analysis - axioms for the real numbers, completeness, sequences and convergence, continuity, existence of extrema, limits, continuity, differentiation, inverse functions, transcendental functions, extrema, concavity and inflections, applications of derivatives, Taylor Polynomials, integration, differential equations; Linear Algebra - complex numbers, solving linear equations, matrix equations, linear independence, linear transformations, matrix operations, matrix inverses, subspaces, dimension and rank, determinants, Cramer's rule, volumes.

Note: This is an Honours Pathway Course. It involves extra material and emphasizes the use and understanding of proof and abstract ideas to a deeper conceptual level than MATH1013.

## Learning Outcomes

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

On satisfying the requirements of this course, 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
2. Demonstrate accurate and efficient use of calculus and linear algebra techniques
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and 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

## Other Information

Secondary School Prerequisite: A satisfactory pass in the ACT Specialist Mathematics double major, NSW HSC Mathematics Extension 2 or equivalent. Students with excellent results in either the ACT Specialist Mathematics major-minor, NSW HSC Mathematics Extension 1, or equivalent, may be permitted to enrol.

Students enrolled in MATH1115 may be eligible to take MATH2222 and should contact the course convenor of MATH2222 for a permission code.

## Indicative Assessment

Assessment will be based on:

• Workshop presentation (0-5%; LO 1-4)
• Assignments and online quizzes (20-25%; LO 1-4)
• Tests during the semester (25%-30%; LO 1-4)
• Final examination (40-50%; LO 1-4)

The ANU uses 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. While the use of Turnitin is not mandatory, the ANU highly recommends Turnitin is used by both teaching staff and students. For additional information regarding Turnitin please visit the ANU Online website.

Four lectures per week and regular of workshops.

## Requisite and Incompatibility

You are not able to enrol in this course if you have previously completed MATH1013 or MATH1113.

## Prescribed Texts

Essential Calculus (2nd edition) by James Stewart.

Elementary Linear Algebra : Applications Version (10th or 11th edition) by Howard Anton and Chris Rorres.

## Fees

Tuition fees are for the academic year indicated at the top of the page.

If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.

Student Contribution Band:
2
Unit value:
6 units

If you are an undergraduate student and have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). You can find your student contribution amount for each course at Fees.  Where there is a unit range displayed for this course, not all unit options below may be available.

Units EFTSL
6.00 0.12500

## Course fees

Domestic fee paying students
Year Fee
2018 \$3660
International fee paying students
Year Fee
2018 \$5160
Note: Please note that fee information is for current year only.

## Offerings, Dates and Class Summary Links

The list of offerings for future years is indicative only.
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.

### First Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
2666 19 Feb 2018 27 Feb 2018 31 Mar 2018 25 May 2018 In Person N/A

### Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
10114 23 Jul 2018 30 Jul 2018 31 Aug 2018 26 Oct 2018 In Person N/A

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