![]() ![]() Continuous functions and related theorems Discontinuous functions Derivatives of a function and related theorems (Lagrange, Rolle, Cauchy and De Hopital theorems) Graph of a function. ![]() Limits of functions : definitions and related theorems. Limits of numerical sequences and related theorems. Definition domain, codomain, image and graph Injective, Surjective and bijective functions Function composition Inverse function Monotonic functions Absolute Maximum and minimum of a function Numerical sequences Functions for Life Sciences: trigonometric, exponential and logarithmic. Real numbers, Intervals, upper and lower bounds maximum and minimum Cartesian products and their representation in R^2 and R^3.įunctions. Membership Cardinality Basic Sets Operations Boolean identities De Morgan laws. Operations between sets (Identity Boolean Read De Morgan) Definitions. Logic: propositions, predicates and operators. Definition of sets membership cardinality. Pre-knowledge: Basic knowledge of set theory, algebra (factoring polynomials, equations and inequalities), analytic geometry (Cartesian representation of points and lines) of some elementary functions (parabolic, hyperbolic, exponential, logarithmic and trigonometric) and their graphs (construction for points) Scientific notation Trigonometry. ![]()
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