Here is a video of first half of this week’s class.
Watch out for Part Two
You are welcome to today’s lecture. Here we are describing the scope and things that will be covered. I am excited to teach you. I hope you are excited to explore the possibilities that can come from our putting our hearts to work.
Note that these notes and ths page will continue to be active even if there is a strike. Those who want to learn cannot wait until all Nigeria’s problems are solved. Time waits for no one.
You can reach me on this site. It is my preferred choice of location to meet students as things we discuss openly here may be useful to others.
If there are things a sufficient number of you do not understand from the class lecture, let me know about it. I may prepare another set of notes of a video to cover the problem areas.
I have NO PATIENCE with lazy students. I am always willing to help you with the course material during the term. Post questions to this page and I will respond. If you want better grades, look for them now. At the end of the term, it is too late; This post on Quora may interest some as well as this other one on Nigeria
Here are the slides for today’s lecture.
The recommended text is available in pdf from here:
Choose Lai, Rubin and Krempl, Introduction to Continuum Mechanics. I will give you a password in class.
These Questions and Answers follow the lectures on Tensor Calculus. Work through them for your next test:
In this section, we consider the way calculus principles can be applied to objects that are larger than scalars. The objects of interest to us are Vectors and Tensors. More formally, we will try to give interpretations to the derivatives and integrals of tensor functions of orders 0,1,2,3 and 4. The arguments can also be tensors of all relevant orders.
Furthermore, we will look at tensor fields. These are tensors that are functions of the Euclidean Point Space that we will fully define. We will be free to refer the point space to Cartesian as well as general coordinates.
We will show how to avoid direct computation of the resulting Christoffel Symbols by using symbolic computation available in Mathematica.
Defines what a tensor is and shows its attributes. Please note the submission dates of the homework assignments. No lateness in submission allowed.
We will need to arrange one extra class in the next two weeks in order to complete the section. A class test is for the week of April 4.
The first test will be based on the questions answered here. They will likely come in the form of objective questions covering the same scope.
You are expected to practice these and let me know if there are things you still do not understand by posting specific questions below.
Please endeavour to discuss with others and make an effort before posting a question. After a good effort, all questions are welcomed.