Lecture 1 (2 hours)

Title: functions, limits, derivatives

Summary: definition of a function, general divisions of functions, repetition on basic function types (logarithms, exponentiation, rationals etc.), definition of function limit, definition of derivative, properties of derivatives

Example internet resources:

http://tutorial.math.lamar.edu/Classes/CalcI/DefnOfDerivative.aspx

https://www.mathsisfun.com/calculus/derivatives-rules.html