Section 3: invariant vector fields, the exponential map
Section 4: the Lie algebra of a Lie group, up to Lemma 4.9
The references (section,corallary,lemma,etc) above are given to 2010 version of lecture notes available at: http://www.staff.science.uu.nl/~ban00101/lie2012/lie2010.pdf
The course was given by prof. dr. Erik van den Ban at the University of Utrecht in the spring of 2012
View the complete course ( Exercises, Recommended literature, etc ) at : http://www.staff.science.uu.nl/~ban00101/lie2012/lie2012.html