The series will cover an introduction for those intending to take Calculus BC in the coming school year, mainly focusing on limits and its connection to derivatives. Session 1: Limits and continuity Session 2: Differentiation and the basic definition of a derivative Session 3: Differentiation extended--chain rule and implicit differentiation Session 4: Extending session 3 to differentiating inverse functions and inverse trig functions using chain rule and implicit differentiation Session 4: Applications of derivatives--Rates of change, related rates, linearization, and L'Hopital's rule Session 5: Analysis of functions through derivatives--extrema and concavity, calculating higher order derivatives In between sessions will be office hours where learners can come for extra questions.