• Offered by Mathematical Sciences Institute
• ANU College ANU Joint Colleges of Science
• Course subject Mathematics
• Areas of interest Mathematics
• Course convener
• Dr Griffith Ware
• Dr Joan Licata
• Prof Stephen Roberts
• Mode of delivery In Person
• Offered in First Semester 2019
Second Semester 2019
Spring Session 2019
Mathematics and Applications 2 (MATH1014)

This course continues on from MATH1013. It emphasizes an understanding of the fundamental results from calculus and linear algebra which can both 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. Functions of several variables - visualisation, continuity, partial derivatives and directional derivatives.

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:

Upon successful completion 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. 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.

## Indicative Assessment

workshops 25% (LO 1-4)

During Semester tests 25% (LO 1-4)

Final examination 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 workshops.

## Requisite and Incompatibility

To enrol in this course you must have completed MATH1013 or MATH1115 or MATH1113. You are not able to enrol in this course if you have previously completed MATH1116.

## Prescribed Texts

Linear Algebra (3rd edition or 3rd edition update, or 4th edition) by David Lay, Essential Calculus (second edition) by James Stewart.

## 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
2019 \$3840
International fee paying students
Year Fee
2019 \$5460
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
2528 25 Feb 2019 04 Mar 2019 31 Mar 2019 31 May 2019 In Person View

### Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
7503 22 Jul 2019 29 Jul 2019 31 Aug 2019 25 Oct 2019 In Person View

### Spring Session

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
8635 18 Nov 2019 18 Nov 2019 02 Dec 2019 20 Dec 2019 In Person N/A