Unit of study_

# MATH1061: Mathematics 1A

### 2025 unit information

Mathematics is both a powerful tool with many diverse applications and a subject that is beautiful in itself. Mathematics 1A introduces you to university mathematics by building on what you have already learnt and open doors to new ideas and to give new perspectives on what you already know. The unit 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 as tools to solve systems of linear equations and other applications. At the end of this unit you will be equipped with mathematical knowledge that you will use in many different context and to continue mathematical studies at University. Students are very strongly recommended to complete MATH1061 Mathematics 1A before starting MATH1062 Mathematics 1B.

## Unit details and rules

#### Science

 Prerequisites: ? None None MATH1901 or MATH1902 or MATH1921 or MATH1906 or MATH1931 or MATH1001 or MATH1021 or MATH1961 or MATH1971 or MATH1002 or MATH1014 NSW HSC Extension 1 Mathematics 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 coherently in written form
• LO3. demonstrate fluency in the mathematical manipulation of vectors, matrices, complex numbers, and real functions, including inverse functions
• 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

## 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
Semester 2 2024
Normal day Camperdown/Darlington, Sydney
Session MoA   Location Outline
Semester 1 2025
Normal day Camperdown/Darlington, Sydney
Outline unavailable
Intensive January 2025
Block mode Camperdown/Darlington, Sydney
Outline unavailable
Semester 2 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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