This module is designed to develop and consolidate student competence in mathematical techniques and provides an introduction to differentiation and integration.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1
Formulate and solve various equations including those involving the laws of indices and logs.
LO2
Reduce equations to linear form and interpret constants from graphs.
LO3
Use trigonometry to solve triangles, graph periodic functions and solve trigonometric equations.
LO4
Apply differentiation to various functions, rates of change, and optimisation.
LO5
Evaluate definite integrals, apply integration techniques to problems in Science & Engineering, and formulate differential equations
Pre-requisite learning
Module Recommendations
This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named CIT module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
No recommendations listed
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.
No requirements listed
Co-requisites
No Co Requisites listed
Module Content & Assessment
Indicative Content
Algebra, Functions and Equations
Logs and indices, transposition of formula. Formulation and solution of linear, quadratic and cubic equations. Formulation and solution of systems of
simultaneous linear equations. Partial fraction expansions. Graphs of linear, quadratic and other polynomials, exponential and log functions and other relevant functions.
Linear Laws
Reduction of non-linear relationships to linear form. Manipulation of data and plotting of linear graphs to
estimate constants.
Trigonometry
Definition of trigonometric functions. Solve triangles using trigonometric ratios, sine and cosine rules. Trigonometric identities and equations. Graphs of trigonometric functions.
Differentiation
The idea of a derivative as a rate of change. Differentiation of common functions. Chain, product and quotient rules. Solutions of problems involving related rates and maxima and minima.
Integration & Differential Equations
Integration of common functions. Integration by substitution and partial fractions. Integration to determine area and mean value. Problems leading to differential equations. Solve elementary ordinary differential equations using direct integration.
Assessment Breakdown
%
Course Work
100.00%
Course Work
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Other
One hour written assessment
1,2,3
50.0
Week 7
Other
One hour written assessment
4,5
50.0
Sem End
No End of Module Formal Examination
Reassessment Requirement
Repeat examination Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
The institute reserves the right to alter the nature and timings of assessment