# Current students

Unit of study_

### 2025 unit information

Mathematics is both a powerful tool with many diverse applications and a subject that is beautiful in itself. This unit provides solid foundations for higher level university mathematics and its applications by building on what you have already learnt. It contains material on calculus, linear algebra and complex numbers, all of which have profound applications in science, engineering, statistics, and economics. This unit investigates differential and integral calculus of one variable and the diverse applications of this theory. Linear algebra begins with vectors and vector algebra. From there we consider matrices, determinants, eigenvalues and eigenvectors which are powerful tools used to solve systems of linear equations and in many other applications. As an advanced unit MATH1961 introduces you to formal mathematical language, proof and rigour. At the end of this unit you will be equipped with mathematical knowledge and rigorous thinking skills that you will use in a broad range of applications and/or as a foundation for further mathematical studies at University.

## Unit details and rules

#### Science

 Prerequisites: ? None None MATH1901 or MATH1902 or MATH1921 or MATH1906 or MATH1931 or MATH1001 or MATH1021 or MATH1061 or MATH1971 or MATH1002 or MATH1014 (HSC Mathematics Extension 2) or (Band E4 in HSC Mathematics Extensions 1) or equivalent

At the completion of this unit, you should be able to:

• LO1. apply mathematical logic and rigour to solve problems
• LO2. express mathematical ideas and arguments rigorously and coherently in written and oral form
• LO3. demonstrate competence in the mathematical analysis and manipulation of functions of real and complex variables, vectors, linear independence, matrices, inverses and the theory of eigenvalues and eigenfunctions
• LO4. apply fundamental properties of continuous and differentiable functions including limits, limit laws, to optimisation, finding limits, approximating functions and other uses of differential calculus
• LO5. demonstrate an understanding of the definition and computation or estimation of Riemann integrals including proficiency in using standard integration methods to evaluate integrals
• LO6. apply concepts of calculus and linear algebra to a variety of contexts and applications
• LO7. construct mathematical proofs based on formal definitions and previously established facts

## Unit availability

This section lists the session, attendance modes and locations the unit is available in. There is a unit outline for each of the unit availabilities, which gives you information about the unit including assessment details and a schedule of weekly activities.

The outline is published 2 weeks before the first day of teaching. You can look at previous outlines for a guide to the details of a unit.

Session MoA   Location Outline
Semester 1 2024
Normal day Camperdown/Darlington, Sydney
Session MoA   Location Outline
Semester 1 2025
Normal day Camperdown/Darlington, Sydney
Outline unavailable
There are no availabilities for previous years.

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### Modes of attendance (MoA)

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## Important enrolment information

### Departmental permission requirements

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