The algebra is the section of mathematics directed to studying operations over elements of any set which generalizes usual operations on addition and multiplication of numbers.
It is required to you
- - statement of the problem;
- - formulas.
Instruction
1. Elementary algebraizuchat properties of operations with real numbers, rules of transformation of mathematical expressions and the equations. Elementary algebra is taught at schools. For the solution of a task the following knowledge is required: For example, existence of brackets in expression indicates rules of record of symbols of elements and operations priority of the concluded action in them. Properties of operations (at shift of the places composed the sum does not change). Properties of equality (if a=b, then b=a). Other laws (if an is less than b, then b is more a).
2. Trigonometry - the part of elementary algebra studying trigonometrical functions, for example, a sine, a cosine, a tangent, a cotangent, etc. Problems on trigonometrical functions are solved with the help of special formulas: trigonometrical identities, formulas of addition, formulas of reduction of trigonometrical functions, formulas of a double argument, double corner, etc. Main identity of trigonometry: the sum of squares of a sine and cosine of the angle is equal to 1.
3. Derivative functions and them primeneniyev this section are applied to the decision the basic rules of differentiation, for example, the derivative of the sum is equal to the sum of derivatives. The scope of derivative functions - the physicist, for example, a coordinate derivative on time is equal to speed, it is mechanical point of derivative function.
4. An antiderivative and integraloblast applications - physics, to be exact, mechanics. For example, the antiderivative (integral) from distance is speed. for finding of primitive function there are certain rules, for example, if F is an antiderivative for f, and G - for g, then F+G - an antiderivative for f+g.
5. The exponential and logarithmic funktsiipokazatelny function is a function of exponentiation. The number built in degree is called the function basis, and degree - a function indicator. Any basis in zero degree equally 1 submits to rules, for example. In logarithmic function the basis is called degree in which it is necessary to build the basis to receive total value. Some simple rules: the logarithm at which the basis and an indicator are identical is equal to 1; the logarithm on the basis 1 with any indicator will be equal to 0.