Welcome to My Academic Repository

This section serves as a digital archive of my academic journey, research, and teaching materials. Rather than keeping these resources in physical notebooks, I have transcribed them here to be easily accessible.

AP courses

• AP Calculus The preliminaries (Adams & Essex P.1–P.7) and limits, with five quizzes and flashcards.
• AP Computer Science A The four AP units in Java, with 51 "write this method" exercises and quizzes.
• AP Physics C: Mechanics Kinematics: motion in one and two dimensions, vectors and projectile motion, with three quizzes.
• AP Statistics Units 1–4, from describing data and the normal distribution to probability and random variables.

University mathematics

• Real Analysis Supremum, infimum, lim sup and lim inf, with exercise solutions from Rudin and Folland.
• Hungerford Algebra Exercise solutions from Hungerford's Algebra, starting with Chapter 1: Groups.
• Finite Groups Group actions, the orbit–stabilizer theorem, Cauchy's theorem and the Sylow theorems, with flashcards.

Engineering

• Boundary Element Methods Weighted residual methods, the Galerkin method and the BEM for Laplace and Poisson problems.

Languages

• French: from Zero to C2 An interactive course in 50 units, A1 to C2, with listening, speaking, dictations, exercises, writing tasks and flashcards.