What Your Child Will Learn with Alex

Unit 3

Alex's Unit 3 tutoring delves into functions, calculus, and algebra, emphasising practical applications and problem-solving.

Functions: Exploring graphs of various functions (polynomial, power, exponential, logarithmic, circular) and their transformations, including combinations of functions and piecewise functions. Modelling real-world situations.

Calculus: Graphical treatment of limits and continuity, differentiation techniques (including chain, product, quotient rules), and applications to curve sketching and optimisation.

Algebra: Solving equations involving various function types (graphically, numerically, algebraically), literal equations, and simple systems of linear equations.

Unit 4

Unit 4 with Alex builds upon Unit 3, focusing on calculus, statistics, and further applications.

Calculus: Anti-differentiation, definite integrals, area calculations, applications to rates of change, and other situations.

Statistics: Discrete and continuous random variables, probability distributions (including binomial, normal, and transformed normal distributions), statistical inference, and confidence intervals for proportions.

Functions & Algebra: Continued exploration of functions and their applications in a variety of contexts, including problem-solving and modelling.

Alex's tutoring focuses on developing strong analytical skills and applying mathematical concepts to practical scenarios, preparing students for the final exams and beyond.