Archive for category Mathematics
For most students, math is one subject that is very difficult and makes them frustrated. They encountered many difficulties to perform tasks that contain the various figures and symbols. However, there are several other students are very pleased with this lesson. In fact, they have a proud achievement in various events. For students who have trouble with math, they can take advantage of online math help is available on the internet. The professional staff is ready to assist the various difficulties in understanding the subject matter.
Mathematics also has a scope of discussion is very broad. Students will usually find difficulty in math in some areas such as algebra. Algebra is one part of the subject matter of mathematics associated with the various calculations and formulas. In this case, if students find it difficult to find the solution of tasks of linear algebra, which he acquired at school, they can rely on online services for solving linear algebra online so students can do some asking to get answers from such difficulties.
In addition to algebra, other fields are also associated with numbers of calculus. Students will usually feel tired when you get this lesson in the school because almost all of the discussion in this section contains figures that have various meanings and functions. If a student wants to get deeper assistance about calculus course materials or to ask about the various tasks that he obtained, students can take advantage of online calculus help. The service is very helpful for students to learn better and more enjoyable.
The concept of function is very important part of Calculus because of its close relation with various phenomena of reality. Before going through the formal definition of function, it is better to understand it through some illustrated examples.
Suppose that a particle is moving at the uniform rate 3 kilometers per hour. If S denotes the distance in kilometers and T time in hours, then S = distance covered in T hours = 3T
When T = 0 hours, S = 0 kilometers
When T = 1 hour, S = 3 kilometers
When T = 2 hours, S = 6 kilometers
When T = 1/3 hours, S= 1 kilometers.
Thus, it is clear that when T changes, S also changes and corresponding to each non negative value of T, there will be only one value of S. In this situation we say that S is a function of T. Here, T is an independent variable over the set of non negative real numbers because T can be any arbitrary non negative real number. S is a dependent variable as its value depends on the value of T. Here S also varies over the set of non negative real numbers. We will call the set over which independent variable T varies the domain and the set over which S varies the range of the function. Here domain and range of the function are both a set of non negative real numbers.
Now we coming to the formal definition of function – Let A and B be two non-empty sets, then a rule ‘f’ which associates with the each element of A with a unique element of B is called a mapping or function from A into B. If f is a mapping from A into B we write f: A → B (read as f is a mapping from A into B). If f associates x Ð A to y Ð B, then we say that y is the image of the element x under the map f and denote it by f(x) and we write y = f(x). The element x is called as pre-image or inverse-image of y.
Function in calculus is one of the scoring topics in a math exam. If you are facing problem understanding these topics then don’t get nervous. It is one of the common challenges faced by many students these days. You just need the help of expert private calculus tutor who can guide you through the concepts. Spend some time online and find the right private calculus tutor in your locality to get over your calculus fear.
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