# 1.1 determine the quotient and remainder for algeb

## 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.