Presentation of the course. Logic and logical connectives. Set theory
Numeric sets. Intervals and Surroundings. Major, minor. Upper / lower extremes
Functions: parity, disparity, injectivity, image
Power, exponential, logarithm, protractor functions
Trigonometric functions, composed. Domain. Classification
Limitations. Asymptotes
Properties of the limits: Permanence of the sign. Study of the function with the graphic method
Theorems: Comparison, sum, product, ratio, compound function
Infinites and infinitesimals. Continuity
Dedivate and differential calculus
Theorems: compound, inverse function, De L'Hopital, Taylor
Theorems: Fermat, Rolle, Middle value, Cauchy
Concave convexity. Study complete with function
Definite integral
Integral resolution methods. Integral in an improper sense
Succession. Series
Series
Elements of Linear Algebra. Matrices and Determinants

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