Humor
La conversation par Delan et Boucq (magazine Pilote 1979, n° M63)
La-conversation-1-2.pdf
Various
Sparce polynomials with real coefficients (OCaml, Python). Multiplication by FFT
PolynomesCreux-EN.pdf
PolynomesCreux-FR.html.zip
Illustration of the Gauss reduction, with Python scripts (see Raw reduction tab)
Conforms to programs prior to 2012; illustrations with Maple instructions.
Sorry, all lessons and exercises are written in French.
Algebra & Geometry
Algebra revisions
Counting
Determinants
Real pre-Hilbertian spaces
Euclidean spaces
Bilinear and quadratic forms
Symmetric endomorphisms
Endomorphism reduction
Isometries
Lines and planes
Conics
Quadrics
Parametric arcs, rectification
Envelope, developed, involute
Orthogonal trajectories
Parametric surfaces
Elements tangent to curves and surfaces
Usual surfaces
Ruled and développable surfaces
Apparent outline of a surface
Scalar and vector fields
Elementary topology
Convex functions
Continuous functions (C⁰)
Functions of class C¹
Functions of class Ck
Turning points
Approximation of integrals
Improper integral
Multiple integral
Integrals depending on a parameter
Differential equations
Numerical series
Suites and function series
Power series
Fourier series