Unit of study_

# MATH1062: Mathematics 1B

### 2024 unit information

Mathematics and Statistics provide powerful quantitative tools to solve problems and make informed decisions in a very diverse range of real-life applications. This unit builds on the calculus that you learnt in Mathematics 1A and introduces you to mathematical statistics. Mathematics 1B gives you a foundational knowledge of the theory of multivariable calculus, differential equations and mathematical statistics that will underpin examples of applications in this unit and in other areas that you will study. At the end of this unit, you will be equipped with the theory and tools that you need to use mathematics and statistics for mathematical and statistical modelling and problem solving. You will also be prepared to continue your studies in mathematics, statistics and financial mathematics and statistics at this university. Please note that this unit is not part of the Data Science major. Students are very strongly recommended to complete MATH1061 Mathematics 1A before starting MATH1062 Mathematics 1B.

## Unit details and rules

#### Science

 Prerequisites: ? None None MATH1905 or MATH1903 or MATH1907 or MATH1923 or MATH1933 or MATH1972 or MATH1962 or MATH1003 or MATH1023 or MATH1005 or MATH1015 Knowledge of complex numbers and methods of differential and integral calculus including integration by partial fractions and integration by parts as for example in MATH1021 or MATH1921 or MATH1931 or MATH1061 or HSC Mathematics Extension 2

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

• LO1. apply mathematical logic and statistical thinking to solve problems
• LO2. express mathematical and statistical ideas and arguments coherently in written form
• LO3. identify appropriate methods to describe, summarise and visualise a given data set
• LO4. identify and apply appropriate methods of inference for a variety of data types
• LO5. apply statistical software such as R to analyse example sets of data
• LO6. express surfaces and curves in three dimensions as equations in Cartesian coordinates and interpret functions of two variables as surfaces in three-dimensional Cartesian space
• LO7. calculate partial derivatives of functions of several variables and use these to find directional derivatives and gradient vectors and to interpret the physical and geometric significance of these quantities
• LO8. create differential equations models and use a variety of techniques to solve these differential equations and interpret their solutions in terms of the original problem
• LO9. apply concepts of mathematical statistics and calculus 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
There are no availabilities for previous years.

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### Modes of attendance (MoA)

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