Week Five: Velocity Gradient & other Tensors of Motion

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As a result of the questions in class, we have expanded Week five notes with echoes from previous work. These are:

Two Grads. Echo from Term 2 Week Four.
Vector Cross: Showing that you can create a skew tensor from any vector. Such a tensor is called a vector cross. Two slides are echoes from Term 1 Week 8:26-27.
Axial Vector: Given any skew tensor, you can create a vector that contains every information residing in the tensor. Such a vector is called the axial vector to this skew tensor. A good example of this is the vorticity vector that is axial to the spin tensor. The theory is an echo from Term 1 Week 8:37-38.
In each of these cases, the location of the original theory is indicated at the top of the slides. That helps you to understand that the theory in simply included and may not flow with the sequence of present slides. You can go to the original locations indicated to fully see the materials in context.

This method of referencing will be continued if the class likes it.

Self-Test Link

If you would like to take the self-test click on any title below as it applies to you.

Please note, postgraduate and undergraduate students taking the course for credit at the University of Lagos are required to use their matriculation numbers and their last names to log in(You can download the attached file for further instructions)

Visitors can simply use  “Visitor” + space + any number within the range of 1 -50. For example, “Visitor 24” and “Visitor 49” are valid.  “Visitor11″(no space between visitor and number) and “Visitor 53” (number out of range) are not valid.

Also note, the matriculation number and last name must be the same to log in successfully. Using “Visitor 25” as Matriculation Number also means you must “Visitor 25” as the last name to log in.

This is the page you will see when you click on the link:


After clicking on the Start button, this should appear:


you can choose the test you want to take.

This is where you can log in as a Visitor. Below, “Visitor 1” is used.