I am emailing a link of this to everyone on the class list every Friday afternoon. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.ie and I will add you to the mailing list.


So far we have covered up to and including the Chain Rule: MATH6015 Lecture Notes (with gaps).

Also I don’t know why I didn’t advise this earlier — you would be well worth investing in a ring binder (to be kept at home or whatever) for your notes. You can see already the amount of sheets. You should be organised with these and only bring the ones we are working on to class.


The first test will take place at 9 am on Friday 19 October (Week 5). It is a test that could arguably take 42 minutes but I’ll give ye from 9.05 — 10 am. Please find a sample. I will give ye a copy on Monday. You will be given a copy of these tables. Don’t worry I’ll scribble out the “UCC”!

Note that the format will be the same of this.

  1. Differentiation from First Principles
  2. Tangent Lines
  3. Differentiate by Rule
  4. Differentiate by Rule
  5. Differentiate by Rule
  6. Rates of Change
  7. Rate of Change/ Geometry of Graph

Next Week

On Monday we will have a tutorial where we will try and get a hang of the Chain Rule. In the rest of the week we shall look at applying what we’ve learned to rates of change. Also we will ask what the derivative can tell us about the geometry of a graph.