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  2. Functional Skills Qualification - Wikipedia

    en.wikipedia.org/wiki/Functional_Skills...

    The Functional Skills Qualification is a frequently required component of post-16 education in England.The aim of Functional Skills is to encourage learners to develop and demonstrate their skills as well as learn how to select and apply skills in ways that are appropriate to their particular context in English, mathematics, ICT and digital skills.

  3. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    Functional analysis applies the methods of linear algebra alongside those of mathematical analysis to study various function spaces; the central objects of study in functional analysis are L p spaces, which are Banach spaces, and especially the L 2 space of square integrable functions, which is the only Hilbert space among them. Functional ...

  4. Functional (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Functional_(mathematics)

    This is an example of a non-linear functional. The Riemann integral is a linear functional on the vector space of functions defined on [a, b] that are Riemann-integrable from a to b. In mathematics, a functional is a certain type of function. The exact definition of the term varies depending on the subfield (and sometimes even the author).

  5. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    In general, a quadratic equation can be expressed in the form + + =, [42] where a is not zero (if it were zero, then the equation would not be quadratic but linear). Because of this a quadratic equation must contain the term a x 2 {\displaystyle ax^{2}} , which is known as the quadratic term.

  6. Linearization - Wikipedia

    en.wikipedia.org/wiki/Linearization

    The linear approximation of a function is the first order Taylor expansion around the point of interest. In the study of dynamical systems , linearization is a method for assessing the local stability of an equilibrium point of a system of nonlinear differential equations or discrete dynamical systems . [ 1 ]

  7. Polynomial - Wikipedia

    en.wikipedia.org/wiki/Polynomial

    The special case where all the polynomials are of degree one is called a system of linear equations, for which another range of different solution methods exist, including the classical Gaussian elimination. A polynomial equation for which one is interested only in the solutions which are integers is called a Diophantine equation. Solving ...

  8. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    Conversely, every line is the set of all solutions of a linear equation. The phrase "linear equation" takes its origin in this correspondence between lines and equations: a linear equation in two variables is an equation whose solutions form a line. If b ≠ 0, the line is the graph of the function of x that has been defined in the preceding ...

  9. Functional equation - Wikipedia

    en.wikipedia.org/wiki/Functional_equation

    In mathematics, a functional equation [1] [2] [irrelevant citation] is, in the broadest meaning, an equation in which one or several functions appear as unknowns. So, differential equations and integral equations are functional equations.

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