“Say Goodbye to Maths Fear – Learn the Smart Way!”From Basics to Brilliance in Mathematics”

The tutor and student reviewed the properties of functions, including the definition of one-to-one and invertible functions, and methods for finding inverses. They then explored the concept of monotonic functions and their relationship to invertibility via derivatives. The session concluded with practice problems on finding the derivative of inverse functions using a specific formula.

The tutor and student worked through calculus problems involving derivatives to find intervals of increase and decrease, and later explored points of inflection and concavity using the second derivative. They practiced differentiation techniques and algebraic simplification. The student was encouraged to try practice problems at home before their next session.

The tutor and student reviewed calculus concepts, starting with finding absolute extrema for a function representing money in a bank account. They then delved into complex differentiation techniques and concluded by analyzing function behavior (increasing/decreasing intervals) by examining the sign of the derivative at various points. The student was assigned a practice problem for the next session.

The Tutor and Student reviewed the Mean Value Theorem, Rolle's Theorem, and techniques for finding absolute extrema. They worked through example problems, including those with trigonometric functions, and discussed strategies for solving problems without a calculator. The student was encouraged to practice more problems before the upcoming test.

The tutor and student explored related rates problems, including those involving geometric shapes and dynamic physical scenarios like ladders and shadows, applying differentiation with respect to time. They also introduced and practiced the Mean Value Theorem, focusing on finding the value 'c' where instantaneous rate of change equals average rate of change, with plans for further practice on these topics and logarithmic differentiation in the next session.

The Tutor and Student reviewed advanced Excel charting techniques, focusing on Mekko charts and Scatter plots. They practiced creating these charts using HR data and discussed how to interpret them for strategic decision-making. The session concluded with an introduction to Bubble Charts and planning for a follow-up session to continue practice.