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Unit of study_
MATH1962: Mathematics 1B (Advanced)
2025 unit information
This unit provides an introduction to multivariable differential calculus and modelling as well as mathematical statistics. Emphasis is given both to the theoretical and foundational aspects of the subject, as well as developing the valuable skill of applying the mathematical theory to solve practical problems. Topics covered in this unit of study include mathematical modelling, first order differential equations, second order differential equations, systems of linear equations, visualisation in 2 and 3 dimensions, partial derivatives, directional derivatives, the gradient vector, and optimisation for functions of more than one variable. The statistics part provides an introduction to mathematical statistics including descriptive statistics, the normal model and hypothesis testing. Concepts will be illustrated using statistical software.
Unit details and rules
Managing faculty or University school:
Science
| Study level | Undergraduate |
|---|---|
| Academic unit | Mathematics and Statistics Academic Operations |
| Credit points | 6 |
|
Prerequisites:
?
|
None |
|---|---|
|
Corequisites:
?
|
None |
| Prohibitions:
?
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MATH1905 or MATH1903 or MATH1923 or MATH1907 or MATH1933 or MATH1062 or MATH1972 or MATH1003 or MATH1023 or MATH1005 or MATH1015 |
| Assumed knowledge:
?
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(HSC Mathematics Extension 2) or equivalent |
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 and oral form
- LO3. identify and analyse 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 two or three dimensions in implicit or explicit form
- 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. set up 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 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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Important enrolment information
Departmental permission requirements
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