What is Algebra And calculas?

Question

Can you give an example what you would use it for. i never learnt it at school and i honestly dont know.

Answer 1

algebra ( Arabic)
This word originated in Iraq

In about the year 830, Mohammad ibn-Musa al-Khwarizmi of Baghdad wrote a book with the Arabic title Hisab al-jabr w'al-muqabala, which may be translated as Science of the Reunion and the Opposition. The reunion, or al-jabar, became our algebra, which deals not so much with numbers themselves (that's arithmetic) but with relations among numbers, relations such as equation. The notion of algebra goes back to the Hindus; Al-Khwarizmi was the man who synthesized their knowledge for the Arabic, and in due course the European, world.


algebra is the study of the properties of operations on numbers. Algebra generalizes arithmetic by using symbols, usually letters, to represent numbers or unknown quantities. Algebra is a problem-solving tool; algebra is the mathematician's tool for solving problems. Algebra has applications to every human endeavor. If you truly learn algebra, you will use it. Knowledge of algebra can give you more power to solve problems and accomplish what you want in life.


example--
Do you remember seeing problems like 15+a = 28? Well, this is the algebraic equation. The only difference is that we will write a letter such as x instead of "a" . So we write the above equation as 15 + x = 28. Next, we could try to solve the equation. In other words, we could try to find a number which makes the equation work. 15 + what = 28? Yes, x = 13 works since 15 + 13 = 28. So we say that 13 is the solution to the equation 15 + x = 28. Algebra really just grows from this basic idea. Algebra helps you write and solve equations

8X+9Y=5
or
X+1=2X-1
X=2


If a function is plotted as a function of time, at any instant, the rate of change is the slope of that function. Taking the slope of a time dependent function adds inverse time to the unit. For example if a person runs 40 meters in 20 seconds, his speed would be 2 meters per second [2 m/s] . The mathmatical term for rate is differentiation.

a vehicle accellerating from a stop to 40 m/s in 20 seconds, crusing at 40 m/s for 15 more seconds, and then decellerating to a stop in another 15 seconds. The accelleration would be 2 m/s^2, about 0.2 g. The decelleration would be -40 m/s in 15 seconds or about -2.76 m/s^2, less than -0.27 g.

The opposite of differentiation is integration. Integration is useful for finding the area under a curve. For a plot of velocity as a function of time, the area under the curve is proportional to distance. if the area under the curve is about 1300 meters, which is the distance the vehicle traveled from 0 to 50 seconds. Taking the area of a time dependent function adds time to the unit. Sometimes this is done by removing time from the demonimator as in dropping a "per second" in the calculated area below.


hope this will help u

Answer 2

Algebra is named in honor of Mohammed ibn Musa al-Khowârizmî. Around +825, he wrote a book entitled Hisb al-jabr wa'l muqubalah, ("the science of reduction and cancellation"). His book, Al-jabr, presented rules for solving equations.

Today, algebra is the study of the properties of operations on numbers. Algebra generalizes arithmetic by using symbols, usually letters, to represent numbers or unknown quantities. Algebra is a problem-solving tool; like a tractor or combine is a farmer's tool, algebra is the mathematician's tool for solving problems. Algebra has applications to every human endeavor. From art to medicine to zoology, algebra can be a tool. People who say that they will never use algebra are people who do not know algebra. Learning algebra is a bit like learning to read and write. If you truly learn algebra, you will use it. Knowledge of algebra can give you more power to solve problems and accomplish what you want in life.

By now, you might think that algebra must be complicated. Yes, it takes work, but algebra is something everyone can learn. In fact, you have probably already done some algebra in elementary school! Do you remember seeing problems like 5 + ? = 8? Well, this is really an algebraic equation. The only difference is that we will write a letter such as x instead of a "?" for the unknown number. So we write the above equation as 5 + x = 8. Next, we could try to solve the equation. In other words, we could try to find a number which makes the equation work. 5 + what = 8? Yes, x = 3 works since 5 + 3 = 8. So we say that 3 is the solution to the equation 5 + x = 8. Algebra really just grows from this basic idea. Algebra helps you write and solve equations.

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Calculas: The branch of mathematics involving derivatives and integrals. The study of motion in which changing values are studied.
++++++++++++++
Unless you have to use calculas, you really don't need a better definition.

Answer 3

"Algebra" refers to a couple of different branches of mathematics, but in its most common usage, it refers to math dealing with variables. Variables are letters or symbols used to represent numbers. This is very helpful anytime you want to find the value of something that you don't know right away, but do know what happens when certain arithmetic is done on the number.

For example, if I knew that 30% of a person's salary got taken out as taxes, and saw that this person's weekly paycheck was $900, I could find the person's yearly salary based off this information. Algebra makes it much easier to do, especially when things get really complicated. If "S" is the yearly salary, then S minus 30% of S is "S - 0.30xS" (the salary, and from it subtract 0.30 times the salary), and this amount spread out over 52 weeks (or divided by 52) should equal $900. So I have an equation: (S - 0.30xS) / 52 = 900. I can then use algebra to solve this equation for S.

Calculus (note the spelling) deals with variables that are always changing but at predictable rates, and rates of change in general. For example, you might be trying to track how far a car goes in a given period of time, but the speed of the car might not be constant. It might be accelerating or slowing down at some point. If you know these rates of change, you can use calculus to calculate the distance. The same goes for the populations of people or bacteria where the growth rate depends on how many you have, etc.

Answer 4

Algebra is something to do with unknowns.... An unknown can be a constant or a variable... for example, 1+1 is equals to 2 but there is no Algebra. Let's try 2a=6<-- this EQUATION is given and you're asked to find what is 'a'...
'a' is an unknown because it's not written in number but you can calculate it by yourself
two times of 'a' is equal to six. Therefore, 'a' is equal to 3.

calculus is a bit hard to understand but I can tell you that it has something to do with Differentiation and Integration. Of course, It involves unknowns too. Since you want examples, I'll show you.
1. Differentiate 2a²+3a+4
answer: 4a+3
2. Integrate 4a+3
answer: 2a²+3a+c

Integration is the reverse of Differentiation.
Actually, is quite hard also to explain them in my own words... but this is what I can tell you. Hope that it helps.

You can try to go to http://en.wikipedia.org/wiki/Calculus to find out more too... Hehe

Answer 5

Algebra is how to work with variables in equations like A = area,
L= length , W = width, A, L, and W are variables, They can be anything. The equation would be A = L x W.
moving the variables around is algebra
Calculus uses algebra to find cool properties of equations like minimums, maximums, slope of a curve, area under a curve.
Algebra and calculus are used in many many fields engineering, science, statistics, electronics, programing........

i hope this helps

Answer 6

The most common and familiar uses of algebra are the many formulas that relate to business, industry, science, technology, and daily life (Christmas & Fey, 1990). Examples of these uses include formulas for distance, rate, and time; perimeter, area, and volume; bank interest and installment loans; and service and pricing options for management-information systems. Variables, functions, and relations are useful in analyzing situations involving costs, prices, rentals, and profits, both for the business manager and the intelligent consumer. Algebraic expressions and equations serve as models for interpreting and making inferences about data. Algebraic reasoning and symbolic notations also serve as the basis for the design and use of computer-spreadsheet models.

Calculus is important because is a major area in mathematics, with applications in science, engineering, business, and medicine. Calculus is used in every branch of the physical sciences, in computer science, in statistics, and in engineering; in economics, business, and medicine; and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired.

Answer 7

In a few words Algebra involves mathematics of finite numbers. Calculus deals with the concept of infinity and limits leading to useful ideas like derivatives and integrals.

Answer 8

Algebra is actually a zebra named Al..

But honestly, algebra consisted of all numbers and their uses.
Calculus on the other hand deals with functions, graphs, and other things. Both are equally interesting.

Answer 9

Hi,
all what you need 2 now

http://www.math.com/school/subject2/lessons/S2U1L1GL.html

N

Answer 10

x-1+x=0
x=1/2
ok