Discrete Mathematics
What is Discrete Mathematics ?
Discrete mathematics is mathematics that deals with discrete objects. Discrete objects are those which are separated from (not connected to/distinct from) each other. Integers (aka whole numbers), rational numbers (ones that can be expressed as the quotient of two integers), automobiles, houses, people etc. are all discrete objects. On the other hand real numbers which include irrational as well as rational numbers are not discrete. As you know between any two different real numbers there is another real number different from either of them. So they are packed without any gaps and can not be separated from their immediate neighbors. In that sense …show more content…
Suppose now that somehow we have formally verified the formula successfully and we are absolutely sure that it is correct. It is a good idea to write a computer program to compute that S, especially with (1 + R)n + 1 to be computed. Suppose again that we have written a program to compute S. How can we know that the program is correct ? As we know, there are infinitely many possible input values (that is, values of A, R and n). Obviously we can not test it for infinitely many cases. Thus we must take some formal approach.
Related to the problem of correctness of computer programs, there is the well known "Halting Problem". This problem, if put into the context of program correctness, asks whether or not a given computer program stops on a given input after a finite amount of time. This

Applications of Discrete Mathematics
2036 Words  9 PagesDISCRETE MATHEMATICS Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects…

Mathematical Theory Of Mathematics And Mathematics
1410 Words  6 PagesIn Mathematics, it is rare that a new branch of mathematics is introduced. That means that even branches of math that have been around for hundreds of years are still technically new, or at least relatively new. One such branch of mathematics is probability. Probability is only three hundred to four hundred years old, so it easily falls into this category when compared to branches of mathematics such as Geometry which dates back all the way to ancient Egypt in around 2900 BC, when it first…

Mathematics And The Mathematics Competency Test
923 Words  4 PagesMathematics is an area that I have consistently struggled with throughout school and has continued into adulthood. The difficulty and negative experiences that occurred as a child impacted how I viewed and achieved in mathematics. I believe I perform at an average to below average skill level when completing mathematical tasks and struggle to attempt higher level activities. Simple maths that I find relevant to my everyday life I view as very useful and is an integral part of my life. Mathematics…

Why Mathematics Is Important For Mathematics
1463 Words  6 PagesMathematics is perhaps the one subject that students are really happy to be doing, or dreading having to do it. Mathematics is different from lots of other subjects because it involves a student not only having to think about the information that is presented to them, but what information is important to completing a task, and how they will use the important information to find an answer. A student may understand how to solve a task after looking and thinking about the information given, but may…

The Mathematics Of Mathematics Into Mathematics Education
1947 Words  8 PagesMathematics is a versatile and always changing subject as people research and theorize new ideas. Calvin Clawson proclaimed that “the single most compelling reason to explore the world of mathematics is that it is beautiful, and pondering its intriguing ideas is great fun” (2). To make this subject easier to explore, teachers should be implementing the history of mathematics into mathematics education. They should do so because of the numerous benefits that it would yield to students and teachers…

Why Is Mathematics Important For Mathematics?
2575 Words  11 Pagespresence of mathematics in everything that we are doing and in nature all around us. It was that broad exposure that led me to write about the importance of mathematics in our life. First, coming from a different country, and starting off with a different cultural background while searching for college admission in the United States to pursuing my personal academic interests. The road to success was not an easy path for me, but I succeeded in obtaining my bachelor’s degree in mathematics at Jersey…

Discrete Random Variables
1313 Words  6 PagesMathematical Modelling 2 Week 3: Discrete Random Variables Stephen Bush Department of Mathematical Sciences MM2: Statistics  Week 3  1 Random Variables • Reference: Devore § 3.1 – 3.5 • Definitions: • An experiment is any process of obtaining one outcome where the outcome is uncertain. • A random variable is a numerical variable whose value can change from one replicate of the experiment to another. • Sample means and sample standard deviations are random variables • They…

The Mathematics Department Of Mathematics
1292 Words  6 PagesMontgomery college Department of Mathematics. The Mathematics department in Montgomery CollegeRockville is answerable for the course structure, content, standard and quality of the mathematics classes in the college. The department has 30 fulltime and 50 parttime professors. In addition, there are 10 tutors assigned by the department, who are working 1025hrs per week to accommodate the needs of students, seeking help in mathematics courses. These tutors are a group of students, who are majoring…

Mathematics : History And Mathematics
1548 Words  7 Pagespotential such as history and mathematics, it can distort our knowledge on world problems. Both subjects are very significant in life and everyone should have some knowledge on it. The lack of knowledge of both subjects would make things more difficult for numerous of people when it comes to world problems that can affect life such as health/medical problems and future events. The two areas of knowledge that will be focused on are History and Mathematics. History and Mathematics are both very significant…

Questions On Mathematics And Mathematics
1451 Words  6 PagesUnderstudies ' Perception of Mathematics and Mathematics Learning Influences and Mathematics Achievement Mathematics variable is playing a great affect on learning these variables are ; I= Self belief 2= Belief on maths 3= Belief on learning Graph level for mathematics is going to below from the average level in Hong Kong and students interest were low towards mathematics they believe math’s is bore subject. 2.2 Attitude towards Mathematics Study of arithmetic was very…
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