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Adding and subtracting complex numbers

Description

This animation shows how to add or subtract complex numbers, using a simple example

Subjects

complex | add | subtract | addition | subtraction | Engineering | H000 | ENGINEERING | X

License

Attribution-Share Alike 2.0 UK: England & Wales Attribution-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-sa/2.0/uk/ http://creativecommons.org/licenses/by-sa/2.0/uk/

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The Complex Conjugate

Description

This animation introduces the complex conjugate

Subjects

complex | conjucate | multiply | real | Engineering | H000 | ENGINEERING | X

License

Attribution-Share Alike 2.0 UK: England & Wales Attribution-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-sa/2.0/uk/ http://creativecommons.org/licenses/by-sa/2.0/uk/

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Dividing complex numbers

Description

This animation shows how to divide complex numbers by using the complex conjugate. It uses a simple example.

Subjects

complex | divide | division | real | conjugate | Engineering | H000 | ENGINEERING | X

License

Attribution-Share Alike 2.0 UK: England & Wales Attribution-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-sa/2.0/uk/ http://creativecommons.org/licenses/by-sa/2.0/uk/

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Introduction to Complex Numbers

Description

This animation introduces imaginary numbers and complex numbers

Subjects

real | imaginary | complex | numbers | Engineering | H000 | ENGINEERING | X

License

Attribution-Share Alike 2.0 UK: England & Wales Attribution-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-sa/2.0/uk/ http://creativecommons.org/licenses/by-sa/2.0/uk/

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Introduction to matrices

Description

This animation introduces matrices as a set of numbers on a rectangular grid that can represent, among other things, a vector transformation. A simple matrix is acted on a vector to show the transformation of the unit square into a parallelogram. The determinant is introduced.

Subjects

matrix | matrices | determinant | matrix multiplication | vector | Engineering | H000 | ENGINEERING | X

License

Attribution-Share Alike 2.0 UK: England & Wales Attribution-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-sa/2.0/uk/ http://creativecommons.org/licenses/by-sa/2.0/uk/

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Matrix multiplication

Description

This animation shows how to multiply matrices together. It shows that matrix multiplication is associative but not distributive.

Subjects

matrix | matrices | multiplication | vector | order | associative | distributive | Engineering | H000 | ENGINEERING | X

License

Attribution-Share Alike 2.0 UK: England & Wales Attribution-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-sa/2.0/uk/ http://creativecommons.org/licenses/by-sa/2.0/uk/

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Multiplying complex numbers

Description

This animation shows how to multiply complex numbers, using a simple example

Subjects

complex | multiply | multiplication | Engineering | H000 | ENGINEERING | X

License

Attribution-Share Alike 2.0 UK: England & Wales Attribution-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-sa/2.0/uk/ http://creativecommons.org/licenses/by-sa/2.0/uk/

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Multiplying complex numbers in polar form

Description

This animation shows how to multiply complex numbers by using polar form and the Argand diagram

Subjects

complex | polar | argand | modulus | argument | Engineering | H000 | ENGINEERING | X

License

Attribution-Share Alike 2.0 UK: England & Wales Attribution-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-sa/2.0/uk/ http://creativecommons.org/licenses/by-sa/2.0/uk/

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The Argand Diagram and Polar Form

Description

This animation introduces the Argand diagram, the modulus and argument of a complex number, polar form and Euler's formula.

Subjects

complex | argand | polar | modulus | argument | Engineering | H000 | ENGINEERING | X

License

Attribution-Share Alike 2.0 UK: England & Wales Attribution-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-sa/2.0/uk/ http://creativecommons.org/licenses/by-sa/2.0/uk/

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Visualising Complex Numbers

Description

This animation introduces the real number line, the imaginary number line, complex numbers and the Argand diagram

Subjects

real | imaginary | complex | integer | numbers | argand | complex plane | Engineering | H000 | ENGINEERING | X

License

Attribution-Share Alike 2.0 UK: England & Wales Attribution-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-sa/2.0/uk/ http://creativecommons.org/licenses/by-sa/2.0/uk/

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Control systems analysis for engineers

Description

This site contains links to resources for an introduction to control analysis for second year engineering undergraduate.The main focus is on block diagrams, offsets, pole computations, understanding stability/instability, root-loci, bode, nyquist, margins and an introduction to lead and lag compensation. The focus is on analysis not design which is covered in a later course. The resources here include the lecture hand outs which include embedded tutorial questions, some powerpoints for structuring lectures, some games/quizzes for lectures, a MATLAB laboratory based on significant prior practice, a FLASH lecture and then a formal laboratory test under exam conditions and a small data base of CAA developed on webct (here provided in a zip file). These were developed at the University of Shef

Subjects

ukoer | block diagrams | feedback | offset | steady state errors | poles | open-loop | closed-loop | root-loci | control | performance | frequency response | gain margin | phase margin | lead compenssator | lag compensator | sisotool | signal flow graph | convolution | resonance | control analysis | classical control | creative commons | laplace | bode | nyquist | matlab | engineering undergraduate education ukoer | oer | jisc | hea | hea engineering subject centre | university of sheffield | flash lecture | sheffieldunioer | engscoer | cc-by | wales | engineering | Mathematical and Computer Sciences | Engineering | Computer science | H000 | I100 | ENGINEERING | X

License

Attribution 2.0 UK: England & Wales Attribution 2.0 UK: England & Wales http://creativecommons.org/licenses/by/2.0/uk/ http://creativecommons.org/licenses/by/2.0/uk/

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Differential Pressure Transducer Lab Experiment (DPTLE)

Description

Overview: This learning object is a simulated laboratory experiment (experimental investigation of pressure measurements), which closely mimics the features of actual laboratory apparatus for measuring pressure, with an output of the associated data. The unlimited model scenarios provide realistic experience with the opportunity for deep learning. Appropriateness: Students studying Engineering at the Faculty of Advanced Technology undertake a 10-credit module aiming to give a basic introduction to instrumentation and its applications. The assessment used to address this learning outcome is a laboratory assignment in which students are required to calibrate a pressure sensor and subsequently use it to investigate transient pressure response of a pneumatically charged system. In this respect

Subjects

jorum comp | laboratory experiment | simulation | pressure | Engineering | H000 | ENGINEERING | X

License

Attribution-Noncommercial-No Derivative Works 2.0 UK: England & Wales Attribution-Noncommercial-No Derivative Works 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-nd/2.0/uk/ http://creativecommons.org/licenses/by-nc-nd/2.0/uk/

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Introduction to modelling for 1st year engineers

Description

These resources cover an introduction to modelling for first year engineering undergraduate. The main focus is on electrical and mechanical systems, but there is also some discussion of dc motors, fluids and heat as well as an introduction to time series modelling. The main emphasis is on why modelling is important and how to go about doing this from first principles (e.g. Kirchhoff's laws, Newton's Laws, etc.). Given the focus is on new students arriving at University, there is no attempt to develop models beyond second order. The resources here include the lecture hand out (pdf) which includes embedded tutorial questions, some powerpoints for structuring lectures , flash animations to step through modelling process for electrical circuits and a large data base of CAA developed on webct

Subjects

modelling | mechanical systems | series components | parallel components | potential divider | fluid flow | heat flow | dc servos | time series | systems engineering | mass-spring-damper | engineering undergraduate education | creative commons | ukoer | electric circuits | oer | jisc | hea | hea engineering subject centre university of sheffield | sheffieldunioer | engscoer | cc-by | wales | engineering | Engineering | H000 | ENGINEERING | X

License

Attribution 2.0 UK: England & Wales Attribution 2.0 UK: England & Wales http://creativecommons.org/licenses/by/2.0/uk/ http://creativecommons.org/licenses/by/2.0/uk/

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Using MATLAB for engineers

Description

Introductory course on learning and using MATLAB aimed at 1st year engineering undergraduate. These were developed at the University of Sheffield and authored by J A Rossiter from The Department of Automatic Control and Systems Engineering. The files include a slightly animated power point slide (runs via web) which includes audio. Hence a little like a lecture. The source m-files mentioned are also supplied in the zip files mentioned. These m-files cover a group of topics. Read the instruction file to learn how to make 'lectures' available to students. More information for control with MATLAB is stored under the control contribution by same author and on the website http://controleducation.group.shef.ac.uk/acs211/notes_webct_quizzes_acs211.htm

Subjects

engineering problem solving | symbolic toolbox | function files | optimisation | conditionnals | loops | time series | ukoer | m-files | engineering undergraduate education | control engineering | creative commons | animated powerpoint with voiceover | first year engineering | matlab | control with matlab | oer | jisc | hea | hea engineering subject centre | flash | university of sheffield | sheffieldunioer | engscoer | cc-by | wales | engineering | Mathematical and Computer Sciences | Engineering | Computer science | H000 | I100 | ENGINEERING | X

License

Attribution 2.0 UK: England & Wales Attribution 2.0 UK: England & Wales http://creativecommons.org/licenses/by/2.0/uk/ http://creativecommons.org/licenses/by/2.0/uk/

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Model predictive control

Description

Introductory course with notes, slides and MATLAB laboratory activities/files.

Subjects

ukoer | control engineering | mpc | model predictive control | constraint handling | stability | control theory | postgraduate education | oer | jisc | hea | creative commons | hea engineering subject centre | university of sheffield | engscoer | sheffieldunioer | cc-by | wales | engineering | Engineering | H000 | ENGINEERING | X

License

Attribution 2.0 UK: England & Wales Attribution 2.0 UK: England & Wales http://creativecommons.org/licenses/by/2.0/uk/ http://creativecommons.org/licenses/by/2.0/uk/

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Java BreadBoard CPU Exercises

Description

Level 1 or 2 Java BreadBoard based excercises which explore the design of a CPU from a simple model through to more complex systems, as bread-boarded chip level designs.

Subjects

ukoer | cpu simulation | breadboard | Engineering | Technologies | H000 | J000 | ENGINEERING | X

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Java BreadBoard Introductory Digital Exercises

Description

Level 1 introductory digital electronics exercises based on use of Java Bread-Board tools (also available on Jorum)

Subjects

ukoer | level-1 | digital electronics | java breadboard | Engineering | Technologies | H000 | J000 | ENGINEERING | X

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Rosebowl case study

Description

A case study following the construction of one of Leeds Met's iconic new buildings, made to support courses in Quantity surveying

Subjects

ukoer | rose bowl | quantity surveying | Built Environment | Engineering | H000 | CONSTRUCTION and PROPERTY (BUILT ENVIRONMENT) | ENGINEERING | T | X

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Vented single feed indirect system of hot water supply

Description

An interactive diagram showing how a vented single feed indirect system of hot water supply works. The user has to correctly label component parts.

Subjects

heating systems | plumbing | water engineering | building maintenance | PROPERTY (BUILT ENVIRONMENT) | Engineering | Employability | Design and delivery of programmes | Students | Learning | UK EL03 = SCQF 3 | Level 3 | Entry level 2 | NICAT Entry | Access 3 | Foundation SG | UK EL04 = SCQF 4 | Foundational Level | NICAT 1 | CQFW 1 | Foundation | GCSE D-G | NVQ 1 | Intermediate 1 | | UK EL05 = SCQF 5 | Intermediate level | Intermediate | NICAT 2 | CQFW 2 | Intermediate | GSCE A-C | NVQ 2 | | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | UK EL07 = SCQF 7 | Higher Certificate | NICAT 4 | CQFW 4 | NVQ 4 | Advanced Higher | SVQ 4 | HN Certificate | H000 | CONSTRUCTION and PROPERTY (BUILT ENVIRONMENT) | ENGINEERING | T | X

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Transistors : operation under variable bias conditions across the collector and the emitter

Description

An animation that shows, with a supply voltage connected across the collector and the emitter, a positive charge is created at the collector and a negative charge is created at the emitter.

Subjects

electronics | voltage | emitter | n-type | electrons | depletion layer | physics | transistors | MATHEMATICS | Engineering | Learning | Design and delivery of programmes | UK EL05 = SCQF 5 | Intermediate level | Intermediate | NICAT 2 | CQFW 2 | Intermediate | GSCE A-C | NVQ 2 | | UK EL10 = SCQF 10 | Honours degree | Graduate diploma | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | H000 | ENGINEERING | SCIENCES and MATHEMATICS | X | R

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Electric water heater

Description

An interactive diagram showing how the electric water heater attached to a shower works. Users can attach the correct label to different parts of the system.

Subjects

plumbing | heating installation | heating engineering | electricity | PROPERTY (BUILT ENVIRONMENT) | ENGINEERING | Employability | Learning | Students | Design and delivery of programmes | UK EL03 = SCQF 3 | Level 3 | Entry level 2 | NICAT Entry | Access 3 | Foundation SG | UK EL04 = SCQF 4 | Foundational Level | NICAT 1 | CQFW 1 | Foundation | GCSE D-G | NVQ 1 | Intermediate 1 | | UK EL05 = SCQF 5 | Intermediate level | Intermediate | NICAT 2 | CQFW 2 | Intermediate | GSCE A-C | NVQ 2 | | UK EL07 = SCQF 7 | Higher Certificate | NICAT 4 | CQFW 4 | NVQ 4 | Advanced Higher | SVQ 4 | HN Certificate | Engineering | H000 | CONSTRUCTION and PROPERTY (BUILT ENVIRONMENT) | T | X

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Using a truth table to derive a Boolean expression

Description

An interaction that shows the user how to derive a Boolean expression from a truth table.

Subjects

electronics | truth tables | physics | boolean logic | MATHEMATICS | Engineering | Teaching | Design and delivery of programmes | UK EL05 = SCQF 5 | Intermediate level | Intermediate | NICAT 2 | CQFW 2 | Intermediate | GSCE A-C | NVQ 2 | | UK EL10 = SCQF 10 | Honours degree | Graduate diploma | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | H000 | EDUCATION / TRAINING / TEACHING | ENGINEERING | SCIENCES and MATHEMATICS | G | X | R

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Deriving a Boolean expression from a circuit diagram

Description

An interaction which shows how a Boolean expression can be derived directly from a circuit diagram.

Subjects

logic | circuit diagrams | electronics | physics | truth tables | boolean logic | MATHEMATICS | Engineering | Teaching | Design and delivery of programmes | UK EL05 = SCQF 5 | Intermediate level | Intermediate | NICAT 2 | CQFW 2 | Intermediate | GSCE A-C | NVQ 2 | | UK EL10 = SCQF 10 | Honours degree | Graduate diploma | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | H000 | EDUCATION / TRAINING / TEACHING | ENGINEERING | SCIENCES and MATHEMATICS | G | X | R

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Alternating current : a sinusoidal waveform

Description

An interaction which shows how alternating current varies over time.

Subjects

electronics | physics | alternating current | sinusoidal waveform | MATHEMATICS | Engineering | Teaching | Design and delivery of programmes | UK EL05 = SCQF 5 | Intermediate level | Intermediate | NICAT 2 | CQFW 2 | Intermediate | GSCE A-C | NVQ 2 | | UK EL10 = SCQF 10 | Honours degree | Graduate diploma | H000 | EDUCATION / TRAINING / TEACHING | ENGINEERING | SCIENCES and MATHEMATICS | G | X | R

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Transistors : operation with a small voltage applied to the base

Description

An animation to show that with a small voltage (less than 0.6 V) applied to the base, a positive charge is created at the base.

Subjects

electronics | base voltage | physics | transistors | MATHEMATICS | Engineering | Learning | Design and delivery of programmes | UK EL05 = SCQF 5 | Intermediate level | Intermediate | NICAT 2 | CQFW 2 | Intermediate | GSCE A-C | NVQ 2 | | UK EL10 = SCQF 10 | Honours degree | Graduate diploma | UK EL06 = SCQF 6 | Advanced courses | NICAT 3 | CQFW 3 | Advanced | A/AS Level | NVQ 3 | Higher | SVQ 3 | H000 | ENGINEERING | SCIENCES and MATHEMATICS | X | R

License

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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