Overview

This topic is a continuation of material of MATH1121 Mathematics 1A and together with MATH1121 Mathematics 1A is intended to provide access to all higher level mathematics topics which require knowledge of standard first year mathematics. The emphasis is on a modelling approach to mathematics and its applications within a … For more content click the Read More button below.

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Aims

This topic is a continuation of the material of MATH1121 Mathematics 1A. This topic develops the properties of elementary transcendental functions and introduces key ideas and applications of integral calculus, matrix algebra and linear algebra.

Learning outcomes

On completion of this topic you will be expected to be able to:
1.
Formulate, analyse and solve systems of linear equations using row operations and matrix algebra, including problems arising from applications
2.
Describe and apply the fundamental theorem of calculus
3.
Compute integrals using substitution, integration by parts, and partial fractions
4.
Compute limits for sequences and series, including Taylor series, and analyse the convergence
5.
Recognise and solve first-order ordinary differential equations, including problems arising from applications

Assessments

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Requisites information

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