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Unit of study_
MATH1011: Applications of Calculus
2023 unit information
This unit is designed for science students who do not intend to undertake higher year mathematics and statistics. It establishes and reinforces the fundamentals of calculus, illustrated where possible with context and applications. Specifically, it demonstrates the use of (differential) calculus in solving optimisation problems and of (integral) calculus in measuring how a system accumulates over time. Topics studied include the fitting of data to various functions, the interpretation and manipulation of periodic functions and the evaluation of commonly occurring summations. Differential calculus is extended to functions of two variables and integration techniques include integration by substitution and the evaluation of integrals of infinite type.
Unit details and rules
Managing faculty or University school:
Mathematics and Statistics Academic Operations
| Code | MATH1011 |
|---|---|
| Academic unit | Mathematics and Statistics Academic Operations |
| Credit points | 3 |
|
Prerequisites:
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None |
|---|---|
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Corequisites:
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None |
| Prohibitions:
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MATH1001 or MATH1901 or MATH1906 or BIOM1003 or ENVX1001 or MATH1021 or MATH1921 or MATH1931 |
| Assumed knowledge:
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HSC Mathematics. Students who have not completed HSC Mathematics (or equivalent) are strongly advised to take the Mathematics Bridging Course (offered in February). Please note: this unit does not normally lead to a major in Mathematics or Statistics or Financial Mathematics and Statistics |
At the completion of this unit, you should be able to:
- LO1. analyse practical problems using techniques from differential and integral calculus;
- LO2. fit as appropriate a linear, polynomial, exponential or a periodic function to a set of experimental data;
- LO3. sketch the generalised sinusoidal functions;
- LO4. use differential calculus to solve optimisation problems in one independent variable;
- LO5. calculate the partial derivatives of functions of two variables, and hence to solve optimisation problems in two independent variables;
- LO6. calculate finite sums and use the sigma notation where appropriate;
- LO7. evaluate definite integrals and use definite integrals in applications;
- LO8. determine when improper integrals of infinite type exist.
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 ? |
|---|---|---|---|
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Intensive January 2023
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Block mode | Camperdown/Darlington, Sydney | |
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Intensive January 2023
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Block mode | Remote |
Modes of attendance (MoA)
This refers to the Mode of attendance (MoA) for the unit as it appears when you’re selecting your units in Sydney Student. Find more information about modes of attendance on our website.
