Practical AP Calculus & Statistics lessons with problem solving

The student and tutor reviewed and practiced solving differential equations using separation of variables and finding particular solutions with initial conditions. They also worked through numerous differentiation problems, applying various rules such as the chain rule, product rule, and quotient rule to different function types, including exponential, logarithmic, and trigonometric functions.

The tutor and student reviewed calculus concepts related to finding areas of regions, volumes of solids of revolution using both disk/washer methods, and solving differential equations. They worked through several practice problems involving various functions and axes of revolution, and also touched upon finding intersection points for more complex functions.

The Tutor and Student reviewed differentiation and integration concepts in calculus. They covered various differentiation rules, including the product, quotient, and chain rules, and practiced applying them through examples, with a plan to continue practicing problems.

The tutor and student worked through various differential equation problems, focusing on techniques like separation of variables, integration, and solving for the general solution. They practiced setting up equations from word problems and applying substitution methods. The student identified a need to focus more on setting up initial differential equations from verbal descriptions.

The session covered projectile motion, circular motion, and relative motion. The Student solved problems related to projectile trajectory, centripetal acceleration, and observed velocities from different reference frames. Galilean transformation was introduced, with plans to delve deeper into the concept in the next session.

The student and tutor covered discrete random variables, inclusive/exclusive inequalities, and calculating mean, variance, and standard deviation. They worked through examples to practice these concepts and started discussing binomial distribution. The student was assigned practice problems related to discrete variables.