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Lecture

Linear Equations Resolution

Description

This lecture covers the resolution of linear equations, focusing on trigonometric equations and elementary concepts. The instructor explains the process step by step, providing examples and highlighting key strategies for solving such equations.

Official source

Related concepts (32)

System of linear equations

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. For example, is a system of three equations in the three variables x, y, z. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied. A solution to the system above is given by the ordered triple since it makes all three equations valid. The word "system" indicates that the equations should be considered collectively, rather than individually.

Partial differential equation

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similar to how x is thought of as an unknown number to be solved for in an algebraic equation like x2 − 3x + 2 = 0. However, it is usually impossible to write down explicit formulas for solutions of partial differential equations.

Linear differential equation

In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where a0(x), ..., an(x) and b(x) are arbitrary differentiable functions that do not need to be linear, and y′, ..., y(n) are the successive derivatives of an unknown function y of the variable x. Such an equation is an ordinary differential equation (ODE).

The Sims

The Sims is a series of life simulation video games developed by Maxis and published by Electronic Arts. The franchise has sold nearly 200 million copies worldwide, and it is one of the best-selling video game series of all time. The games in the Sims series are largely sandbox games, in that they lack any defined goals (except for some later expansion packs and console versions which introduced this gameplay style). The player creates virtual people called "Sims", places them in houses, and helps direct their moods and satisfy their desires.

The Sims 2

The Sims 2 is a 2004 strategic life simulation video game developed by Maxis and published by Electronic Arts. It is the second major title in The Sims series, and is the sequel to The Sims. The game was released for Microsoft Windows on September 14, 2004, and a port for MacOS was released on June 17, 2005. Eight expansion packs and nine "stuff packs" were subsequently released between 2005 and 2008. In addition, versions of The Sims 2 were released on various consoles and mobile platforms, including the Nokia Ovi Store.

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