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Units MATH1062

Unit of study_

MATH1062: Mathematics 1B

2025 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

Managing faculty or University school:

Science

Details

Study level	Undergraduate
Academic unit	Mathematics and Statistics Academic Operations
Credit points	6

Enrolment rules

Prerequisites: ?	None
Corequisites: ?	None
Prohibitions: ?	MATH1905 or MATH1903 or MATH1907 or MATH1923 or MATH1933 or MATH1972 or MATH1962 or MATH1003 or MATH1023 or MATH1005 or MATH1015
Assumed knowledge: ?	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

Learning outcomes

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

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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	View
Semester 2 2024	Normal day	Camperdown/Darlington, Sydney	View

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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