The course will be divided into 3 parts:
Part I - Basics of symplectic geometry
This part will closely follow the book
"Lectures on symplectic geometry" by Ana Cannas da. Silva. Available at https://people.math.ethz.ch/~acannas/Papers/lsg.pdf
We will also discuss Lefschetz fibrations (which one can read about in Section 1 of this article by Paul Seidel) and generating families (here
is an introduction, written by Sheila Sandon).
Part II - Basics of contact geometry
This part will follow the articles
"Contact geometry" by Hansjörg Geiges, available at https://arxiv.org/abs/math/0307242
"Legendrian and Transversal Knots" by John B. Etnyre, available at https://arxiv.org/abs/math/0306256
"Legendrian contact homology in R^3" by John B. Etnyre and Lenhard L. Ng , available at https://arxiv.org/abs/1811.10966
Part III - Stein manifolds and exotic symplectic structures