Derivatives |
Derivative of a function at one point. Physical and geometrical meaning. Derivability. Calculus of derivatives. Lagrange Mean Value Theorem. Extrema. Concavity and convexity. Newton-Raphson method to solve nonlinear equations. Lagrange interpolation. Numerical differentiation. |
Functions of several variables |
Functions of several variables. Visualization. Limits and continuity. Diferenciability: gradient vector, approximation by the tangent plane, chain rule, directional derivative. Derivatives of higher order. Schwarz's Theorem. Extrema of real functions of several variables. |