Hands-on SAT Math & Calculus lessons with problem solving focus

The Tutor and Student worked through various calculus problems, including differential equations, particle motion (velocity, acceleration, direction changes), function derivatives, the Mean Value Theorem, area between curves, and setting up integral expressions for volumes of revolution. They practiced applying integration and differentiation techniques to solve these problems.

The session covered calculus concepts including Riemann sums for volume approximation, related rates, interpreting derivatives in context, using the Fundamental Theorem of Calculus for function evaluation, and analyzing differential equations. The student practiced problem-solving techniques for each topic, with the tutor guiding them through the steps and explanations.

The Student and Tutor reviewed several AP Calculus AB concepts, including the Fundamental Theorem of Calculus, interpreting graphs of functions and their anti-derivatives, the Mean Value Theorem, and parallel tangent lines. They worked through practice problems related to these topics, and the Tutor planned to schedule further sessions to address the Student's difficulties with MVT and constant value problems.

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.