Math 1

Chapitre1:Mathematical Reasonning

• Logical Concepts 
• Direct reasoning
• Reasoning by contraposition
• Reasoning by contradiction 
• Reasoning by counter-example
• Reasoning by induction

Chapitre2: Sets, Relations, and Functions

• Set theory
• Order relation, Equivalence relations
• Injection, surjective, bijective applications

Chapitre3:Real functions of a real variable

• Limit, countinuity of a function
• Derivative and differentiability of a function

Chapitre4: Elementary functions 

• Power functions
• Log- Expo functions
• Trifonometric functions
• Hyperbolic functions
• Inverses

Chapitre5: Series Expansion

• Taylor's formula
• Series Expansion
• Applications