FUNDAMENTALS OF MATHEMATICS

Introduction : numerical and algebraic calculus; powers and logarithms: properties and calculation. Equations, inequalities and systems. Elements of analytical geometry; straight lines and conics.
 
The functions: basic concepts and analysis of the properties of elementary functions (powers, exponentials, logarithms, trigonometric functions) and graphic representation.
 
Limits and derivatives: definitions, limits and derivatives of elementary functions and rules of calculation. Study of function: increase and decrease, maxima and minima, concavity and convexity, asymptotes and graph.
 
Integrals: definition of indefinite integral with examples and definite integral and its geometric significance.