We worked through some review problems to prepare for the AP exam.
We worked through part of a comprehensive review: from limits to derivatives, integrals, and the fundamental theorem of calculus.
We discussed finding cross-sectional areas and the methods used to apply that to finding volumes of 3-dimensional shapes given their base and cross sections.
We worked through some problems in finding the area between two curves, focusing on functions of x in terms of y.
We worked through quite a few problems in u-substitution to build understanding of the process. We also worked through some introductory differential equation problems using separation of variables.
We worked on problems related to the Fundamental Theorem of Calculus, especially Part I of the theorem.
We discussed the meaning of the first part of the fundamental theorem of calculus, and we worked through a few example problems in this topic.
We worked through the two fundamental theorems of calculus in depth, first discussing how the theorems can be rephrased to be intuitive, and then discussing how they can be applied.
We reviewed concepts from earlier in the year, particularly optimization and related rates problems.