ELECTIVE MATH IV (CALCULUS)

To all fourth year students:

In preparation for the lecture on Derivatives, please go to the following links to have a better idea of a function's tangent line's behavior and the concept of rate of change:
http://tutorial.math.lamar.edu/Classes/CalcI/RateOfChange.aspx
http://tutorial.math.lamar.edu/Classes/CalcI/Tangents_Rates.aspx

The two links above also included a lecture on related rates; however, you do not have to study it for now (but there's no stopping you from reading it in advance, of course. In fact, that is highly recommended).

Now, going to Derivatives/ Differentiation Rules, please go to this link http://www.math.wisc.edu/~angenent/Free-Lecture-Notes/free221.pdf

You may download the whole thing, if you want, so that you have a resource book for future topics. But these are the topics that you need to have read (and hopefully, understood) so that we can speed up the discussion soon as classes begin again:

Chapter 4 (or pp 41-51) details the definition of "the derivative of a function" and a "function being differentiable on certain intervals." In p 46, you will find a table of the basic differentiation rules. Please, master these basic rules and put them to use by answering the supplementary exercises given at the end of the chapter.

That will be all for now, but I hope that you will be responsible enough to do as recommended. Stay safe, everyone!