Calculus A1

Description

Real number set and its properties, sequences and one varible functions, limits and continuity, the properties of continuous functions; derivatives and differentials, the chain rule, higher derivatives; mean value theorems and applications: L'Hospital rules, Taylor's formula, maximum/minimum value problems; integration: theory and calculation, Newton-Leibniz formula, indefinite integrals, definite integrals, applications to geometry and physics; improper integrals: definition and test; differential equations: 1st order equations and elementary resolution, higher order equations, linear equations and resolution, linear systems.