
Session 1 — Tuesday, 25 August · 12:00–14:00
Sequences, Limits and Differential Equations
Infinite geometric sequences, limits, L’Hôpital’s rule, first-order differential equations, homogeneous differential equations and separable differential equations.
Session 2 — Thursday, 27 August · 12:00–14:00
Mathematical Proof and Induction
Mathematical induction, direct proof and proof by contradiction.
Session 3 — Saturday, 29 August · 12:00–14:00
Complex Numbers and De Moivre’s Theorem
The complex plane, polynomials over the complex numbers, De Moivre’s theorem and finding complex
roots.
Session 4 — Tuesday, 1 September · 12:00–14:00
Vector Representations and Products
Algebraic and geometric vector representations, vector equations in two dimensions, the scalar product and the cross product.
Session 5 — Thursday, 3 September · 12:00–14:00
Lines, Planes and Intersections
Equations of planes, intersections between lines and intersections between planes.
Session 6 — Saturday, 5 September · 12:00–14:00
Distances and Angles in Three Dimensions
Distances between a line and a plane, distances between two planes and angles between two planes.
Timezone: Madrid · CEST (UTC+2)
Teacher: Rawad Sabra