EMILE : Enseignement d'une Matière Intégrée à une Langue Étrangère

Objectives: Discover, in-depth study, share

Organization:

• Groups of 2

• Topics chosen in conciliation with other students

• Use your own devices: computer, tablet, smartphone for video

Duration:

• Preparation: as long as necessary for you. I estimate the duration at 6 weeks.

Oral presentation: at least 10 min: 5 min each

Skills assessed:

• Duration

• Charisma:

• Dynamism

• Loud enough

• No notes

• Speech organization between members

• English language:

• Logical words

• Mathematical vocabulary accuracy

• No French words

Presentation structure:

• You can add points but not skip one!

• Do not forget to mention sources

• Presentation must be sent to me by e-mail

# Theme #1: Spherical Geometry

• From Euclidean Geometry to Non Euclidean Geometry: an history of Euclid’s Axiom

• Main properties of spherical geometry

• Spherical coordinate system

• Geodesics

• One exercise to submit other students

• Code in Python to calculate geodesics

Fichiers:
Jeu-07-20
19.84 MB
467

Jeu-07-20
849.62 KB
397
Jeu-07-20
1.86 KB
377

# Theme #2: Logic

• An history of Logic: from Aristotle to Leibniz, De Morgan, and Boole

• Statements, quantifiers, compound statement, negation

• Symbols

• Truth Tables

• Many examples for each concept

• Excursion exercises

# Theme #3: Curves Overview

• Cartesian coordinate system:

• Classical function y=f(x) (Maths Dance)

• Classical functions with parameter y=f(n,x). Family of functions

• Parametric function (x(t), y(t))

• 3D curves: z=f(x,y)

• Polar coordinate system

• Fractales:

• Most famous fractales

• Software presentation, demonstration

# Theme #4: Numeration

• Different types of numerations:

• Tally marks

• Place-value system

• Non place-value system

• History of arabic numerals

• Binary numeral system:

• Count the 16 first binary numbers

• How to add 2 binary numbers

• Multiplication

• Exercises for other students

• Code in python: conversion of binary in decimal and vice-versa.