Real Numbers. Set theory. Injective, surjective, invertible functions. Maximum, minimum of a set
Elementary functions and their Cartesian representation. Power, exponential and logarithmic functions. Trigonometric functions. Inverse trigonometric functions.
Exponential and logarithmic Inequalities.
Elements of linear algebra. Linear systems. Gauss method. Rank of a matrix. Cramer theorem
Limits of functions. Continuous functions. Discontinuity of first and of second kind. Zero theorem. Numerical solution of an equation. Bisection method
Derivatives. Operations on derivatives. Derivatives of composite functions. Geometric meaning of derivative. Derivatives of elementary functions.
Fermat's theorem. Characterization of constant functions. Criteria monotony.
The theorems of L'Hospital. Convexity, concavity, asymptotes. Graph of a function.Functions of two variables, partial derivatives.
Definition of integral.