• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career UGRD
  • Course convener
    • AsPr Matthew Hole
    • Dr Asilata Bapat
    • Dr Joan Licata
  • Mode of delivery In Person
  • Offered in First Semester 2020
    Second Semester 2020
    Spring Session 2020
    See Future Offerings

All activities that form part of this course will be delivered remotely in Sem 2 2020.

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.

Indicative Assessment

  1. Workshop assessment (completed during workshops) (10) [LO 1,2,3,4]
  2. Online quizzes (10) [LO 1,2,3,4]
  3. Assignments (10) [LO 1,2,3,4]
  4. Midsemester examination (30) [LO 1,2,4]
  5. Final examination (40) [LO 1,2,4]

In response to COVID-19: Please note that Semester 2 Class Summary information (available under the classes tab) is as up to date as possible. Changes to Class Summaries not captured by this publication will be available to enrolled students via Wattle. 

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.

Workload

The expected workload will consist of approximately 130 hours throughout the semester including:

• Face-to face component which may consist of 4 x 1 hour lecturer per week (48 hours per semester) as well as a total of 15 hours of workshop time.

• Approximately 67 hours of self-study per semester which will include preparation for lectures, quizzes and other assessment tasks.

Inherent Requirements

There are no course-specific inherent requirements.

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 later) by David Lay.

• Essential Calculus (2nd edition) by James Stewart.

Majors

Minors

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
Domestic fee paying students
Year Fee
2020 $4050
International fee paying students
Year Fee
2020 $5760
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
3473 24 Feb 2020 02 Mar 2020 08 May 2020 05 Jun 2020 In Person View

Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
8494 27 Jul 2020 03 Aug 2020 31 Aug 2020 30 Oct 2020 In Person View

Spring Session

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
9613 23 Nov 2020 04 Dec 2020 04 Dec 2020 24 Dec 2020 In Person N/A

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