• Offered by Mathematical Sciences Institute
• ANU College ANU Joint Colleges of Science
• Course subject Mathematics
• Course convener
• Dr Vigleik Angeltveit
• Prof John Urbas
• Mode of delivery In Person
• Offered in Second Semester 2016
Mathematical Foundations for Actuarial Studies (MATH1113)

This course provides a study of the fundamental concepts of calculus and linear algebra. The use and understanding of proof and abstract ideas, will allow students to develop analytical skills which will form a foundation for further study in the quantitative areas of actuarial studies.

Topics to be covered include: Calculus - limits, continuity, differentiation, inverse functions, transcendental functions, extrema, concavity and inflections, applications of derivatives, Taylor Polynomials, integration, differential equations, functions of several variables, partial derivatives, optimality, gradient and the second derivative test in two variables, double integrals; 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, eigenvalues, eigenvectors.

## 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. (LO1)
2. Demonstrate accurate and efficient use of calculus and linear algebra techniques. (LO2)
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from calculus and linear algebra. (LO3)
4. Apply problem-solving using calculus and linear algebra techniques applied to situations in statistics, physics, engineering and other mathematical contexts. (LO4)

## Other Information

Secondary School Prerequisite: A satisfactory result in ACT Specialist Mathematics Major-Minor or NSW HSC Mathematics Extension 1 or equivalent. Students with a good pass in ACT Specialist Mathematics Major or NSW HSC Mathematics or equivalent will be considered. For students with a level of maths equivalent to ACT Mathematical Methods, MATH1003 is required to be completed before enrolling.

## Indicative Assessment

Assessment will be based on:

• Nine assignments (20% in total: LO 1-4)
• Mid-semester test (30%; LO1-4)
• 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.

48 lectures and 10 hours of laboratory and tutorial sessions

## Requisite and Incompatibility

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

## Prescribed Texts

Linear Algebra (3rd edition or 3rd edition Update, or 4th edition) by David Lay

Calculus: A Complete Course, eighth edition by Robert A. Adams

## 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
2016 \$3276
International fee paying students
Year Fee
2016 \$4368
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.

### Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
8327 18 Jul 2016 29 Jul 2016 31 Aug 2016 28 Oct 2016 In Person N/A