MATH1121 Mathematics 1A - Flinders University

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Overview

This topic together with MATH1122 Mathematics 1B is designed for students who have studied SACE Stage 2 Mathematics and who wish to proceed to a degree in any discipline which requires higher level mathematics. It is the standard prerequisite for all higher level topics in mathematics that require knowledge of … For more content click the Read More button below.

The material covered includes: functions, limits and continuity, differential calculus, computation of derivatives, the chain rule, Intermediate Value and Mean Value Theorems. Applications to graphing, rates of change, maxima and minima. Complex numbers, Euler's formula, complex exponential. Three-dimensional analytic geometry, matrices, systems of linear equations, vectors, equations of lines and planes.

Topic availabilities

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Tuition pattern

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Aims

This topic aims to introduce the basic concepts and techniques of differential calculus and complex numbers, and provides the foundation for all areas requiring first year university mathematics. The topic aims to develop a modelling and problem solving approach to mathematics and its applications through an appropriate combination of the underlying concepts and the use of mathematical software.

Learning outcomes

On completion of this topic you will be expected to be able to:

Understand the key concepts that underlie single-variable differential calculus

Be familiar with the basic facilities available in Maple mathematical software

Use problem solving, critical thinking and reasoning abilities

Reflect on prior learning and understanding of mathematics

Assessments

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Requisites information

Pre-requisites:

Anti-requisites:

Assumed knowledge

Students attempting this topic are advised that it assumes the knowledge taught in SACE Stage 2 Mathematics or equivalent, or in MATH1701 Algebra and Functions. For students without this knowledge, it is essential to enrol in MATH1701 and then progress to MATH1121 Mathematics 1A in a later semester. If in doubt, prospective students without SACE Stage 2 Mathematics or equivalent are encouraged to contact the topic coordinator for a more detailed discussion.

Handbook

Mathematics 1A

MATH1121

4.5 Units