(0:00) Journal catch-up time and Mathematica project time. (1:08) This lecture will mostly be a review of what we've done since the last exam to try to get these ideas organized and solidified in our minds. (2:00) Cauchy's Theorem. (7:11) Verbal description of continuous deformation theorem. (8:58) Cauchy integral formula.
Based on "Fundamentals of Complex Analysis, with Applications to Engineering and Science", by E.B. Saff and A.D. Snider (3rd Edition). "Visual Complex Analysis", by Tristan Needham, is also referred to a lot. Mathematica is often used, especially to visualize complex analytic (conformal) mappings.