## 1.1 use estimation techniques and error arithmetic to establish realistic results from experiment

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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 number**

**systems**

1.1 use estimation techniques and error arithmetic to

establish realistic results from experiment

1.2 convert number systems from one base to another,

and apply the binary number system to logic circuits

1.3 perform arithmetic operations using complex

numbers in Cartesian and polar form

1.4 determine the powers and roots of complex

numbers using de Moivre’s theorem

1.5 apply complex number theory to the solution of

engineering problems when appropriate

**LO2 Be able to analyse and model**

**engineering situations and**

**solve problems using**

**graphical and numerical**

**methods**

2.1 draw graphs involving algebraic, trigonometric and

logarithmic data from a variety of scientific and

engineering sources, and determine realistic

estimates for variables using graphical estimation

techniques

2.2 make estimates and determine engineering

parameters from graphs, diagrams, charts and data

tables

2.3 determine the numerical integral of scientific and

engineering functions

2.4 estimate values for scientific and engineering

functions using iterative techniques

**LO3 Be able to analyse and model**

**engineering situations and**

**solve problems using vector**

**geometry and matrix methods**

3.1 represent force systems, motion parameters and

waveforms as vectors and determine required

engineering parameters using analytical and

graphical methods

3.2 represent linear vector equations in matrix form and

solve the system of linear equations using Gaussian

elimination

3.3 use vector geometry to model and solve appropriate

engineering problems

**LO4 Be able to analyse and model**

**engineering situations and**

**solve problems using ordinary**

**differential equations**

4.1 analyse engineering problems and formulate

mathematical models using first order differential

equations

4.2 solve first order differential equations using

analytical and numerical methods

4.3 analyse engineering problems and formulate

mathematical models using second order differential

equations

4.4 solve second order homogeneous and nonhomogenous

differential equations

4.5 apply first and second order differential equations to

the solution of engineering situations.

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