multivariable calculation
The multivariate calculation (or calculation in several variables) is nothing more than the extension of the infinitesimal calculation to scalar and vector functions of several variables.
tiene varias unidades
Parametric equations and polar coordinates.
Function of several variables
Integrales multibles
Basic principles of vector calculation
Principles of differential equations
Parametric equations allow both X and Y dependent on a third variable. Scientists and engineers use parametric equations to analyze variables that change over time. The polar coordinate system allows to graph with large circles, roses, spirals and other curves that are not functions.
Reading and analysis of the conic section
Parametric equations
Polar coordinate system
Area and length in polar coordinates
concept of parameters
solution of problem of application
A function with n real variables is a rule f that associates to each point (x1, x2, .., xn) ∈ D ⊂ Rn a single real number z = f (x1, x2, .., xn). We will represent this function as f: D → R. D is called the definition domain of f.
Concept of function of several variables
Partial derivatives of 1 and 2 order
Chain rule
Maximus and minimous
grange multipliers
Application problems
is a type of definite integral applied to functions of more than one real variable, for example f (x, y) or f (x, y, z).
concept of double and triple integrals
calculation of double integrals (area and volume).
Exercise solution (double and triple)
is a field of mathematics referred to the real multivariate analysis of vectors in 2 or more dimensions. It is an approach to differential geometry as a set of formulas and techniques to solve very useful problems for engineering and physics.
Vector calculation concept
Line integrals
Independence of the trajectory
Green theorem
Exercise solution applied to the context
it is a mathematical equation that relates a function to its derivatives. In applied mathematics, functions usually represent physical quantities, derivatives represent their reasons for change, and the equation defines the relationship between them.
Basic concepts of a differential equation
Methods to calculate differential equations of 1st order
Separable variables
Homogeneous equations (exact and linear)
2nd order equations
Homogeneous and non-homogeneous linear equations
Exercise solution