1.1 determine the quotient and remainder for algebraic fractions and reduce algebraic fractions to partial fractions
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Learning outcomes
On successful completion of
this unit a learner will:
Assessment criteria for pass
The learner can:
LO1 Be able to analyse and model
engineering situations and
solve problems using
algebraic methods
1.1 determine the quotient and remainder for algebraic
fractions and reduce algebraic fractions to partial
fractions
1.2 solve engineering problems that involve the use and
solution of exponential, trigonometric and hyperbolic
functions and equations
1.3 solve scientific problems that involve arithmetic and
geometric series
1.4 use power series methods to determine estimates of
engineering variables expressed in power series
form
LO2 Be able to analyse and model
engineering situations and
solve problems using
trigonometric methods
2.1 use trigonometric functions to solve engineering
problems
2.2 use sinusoidal functions and radian measure to solve
engineering problems
2.3 use trigonometric and hyperbolic identities to solve
trigonometric equations and to simplify
trigonometric expressions
LO3 Be able to analyse and model
engineering situations and
solve problems using calculus
3.1 differentiate algebraic and trigonometric functions
using the product, quotient and function of function
rules
3.2 determine higher order derivatives for algebraic,
logarithmic, inverse trigonometric and inverse
hyperbolic functions
3.3 integrate functions using the rules, by parts, by
substitution and partial fractions
3.4 analyse engineering situations and solve engineering
problems using calculus
LO4 Be able to analyse and model
engineering situations and
solve problems using
statistics and probability
4.1 represent engineering data in tabular and graphical
form
4.2 determine measures of central tendency and
dispersion
4.3 apply linear regression and product moment
correlation to a variety of engineering situations
4.4 use the normal distribution and confidence intervals
for estimating reliability and quality of engineering
components and systems.
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