Unit of study_

# MATH1931: Calculus Of One Variable (SSP)

### 2023 unit information

The Mathematics Special Studies Program is for students with exceptional mathematical aptitude, and requires outstanding performance in past mathematical studies. Students will cover the material of MATH1921 Calculus of One Variable (Adv), and attend a weekly seminar covering special topics on available elsewhere in the Mathematics and Statistics program.

## Unit details and rules

#### Science

 Prerequisites: ? None None MATH1001 or MATH1901 or ENVX1001 or MATH1906 or MATH1021 or MATH1921 (HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent

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

• LO1. apply mathematical logic and rigor to solving problems, and express mathematical ideas coherently using precise mathematical language.
• LO2. understand new mathematical concepts beyond routine methods and calculations
• LO3. demonstrate fluency in the mathematical manipulation of complex numbers and functions, including concepts of surjectivity, injectivity and inverse functions
• LO4. understand and be able to use fundamental properties of continuous and differentiable functions including limits, limit laws, intermediate and extreme value theorems as well as mean value theorems and applications
• LO5. work with Taylor polynomial approximations and Taylor series representations of functions including dealing with remainder estimates
• LO6. demonstrate an understanding of the definition and computation or estimation of definite, indefinite and improper Riemann integrals including proficiency in using integration methods without too much guidance
• LO7. understand and be able to use the relationships between integral and differential calculus via the Fundamental Theorem of Calculus
• LO8. apply concepts of calculus to a variety of contexts and applications
• LO9. gain an appreciation of a diverse range of mathematical problems and applications through participating in class discussions and the completion of assignments

## 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.

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Session MoA   Location Outline
Semester 1 2020
Normal day Camperdown/Darlington, Sydney
Semester 1 2021
Normal day Camperdown/Darlington, Sydney
Semester 1 2022
Normal day Camperdown/Darlington, Sydney
Semester 1 2023
Normal day Camperdown/Darlington, Sydney

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### Modes of attendance (MoA)

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