NCTM CAEP Mathematics Content for Secondary Addendum to the
... A.5.2 Parametric, polar, and vector functions A.5.3 Sequences and series A.5.4 Multivariate functions A.5.5 Applications of function, geometry, and trigonometry concepts to solve problems involving calculus A.5.6 Historical development and perspectives of calculus including contributions of signific ...
... A.5.2 Parametric, polar, and vector functions A.5.3 Sequences and series A.5.4 Multivariate functions A.5.5 Applications of function, geometry, and trigonometry concepts to solve problems involving calculus A.5.6 Historical development and perspectives of calculus including contributions of signific ...
Discrete and Continuous Random Variables
... Discrete and Continuous Random Variables Discrete : A random variable is called a discrete random variable if its set of possible outcomes is countable. This usually occurs for any random variable which is a count of occurrences or of items, for example, the number of large diameter piles selected i ...
... Discrete and Continuous Random Variables Discrete : A random variable is called a discrete random variable if its set of possible outcomes is countable. This usually occurs for any random variable which is a count of occurrences or of items, for example, the number of large diameter piles selected i ...
Permutations+Combina.. - SIUE Computer Science
... We can use combinations to determine how many different hands of cards can be drawn since order does not matter. If we are playing 5-card draw the number of hands is 52!/47!∙5! = 52∙51∙50∙49∙48/120 = 2,598,960. We can use this to determine the probability of getting a royal flush. To get a royal flu ...
... We can use combinations to determine how many different hands of cards can be drawn since order does not matter. If we are playing 5-card draw the number of hands is 52!/47!∙5! = 52∙51∙50∙49∙48/120 = 2,598,960. We can use this to determine the probability of getting a royal flush. To get a royal flu ...
Permutations+Combina..
... We can use combinations to determine how many different hands of cards can be drawn since order does not matter. If we are playing 5-card draw the number of hands is 52!/47!∙5! = 52∙51∙50∙49∙48/120 = 2,598,960. We can use this to determine the probability of getting a royal flush. To get a royal flu ...
... We can use combinations to determine how many different hands of cards can be drawn since order does not matter. If we are playing 5-card draw the number of hands is 52!/47!∙5! = 52∙51∙50∙49∙48/120 = 2,598,960. We can use this to determine the probability of getting a royal flush. To get a royal flu ...
1426 Discrete Square Roots
... integer x is a non-negative integer r such that r2 ≡ x mod N , 0 ≤ r < N , where N is a specific positive integer and mod is the modulo operation. It is well-known that any positive real number has exactly two square roots, but a non-negative integer may have more than two discrete square roots. For ...
... integer x is a non-negative integer r such that r2 ≡ x mod N , 0 ≤ r < N , where N is a specific positive integer and mod is the modulo operation. It is well-known that any positive real number has exactly two square roots, but a non-negative integer may have more than two discrete square roots. For ...
MATH 251
... Course Specifications for Discrete Mathematics Program(s) on which the course is given: Undergraduate Computer Science & Information Systems Department offering the program: Computer Science Department offering the course: Computer Science Academic year / Level: CS Level seven/ IS Elective Course Da ...
... Course Specifications for Discrete Mathematics Program(s) on which the course is given: Undergraduate Computer Science & Information Systems Department offering the program: Computer Science Department offering the course: Computer Science Academic year / Level: CS Level seven/ IS Elective Course Da ...
Math 245 - Cuyamaca College
... Introduction to discrete mathematics. Includes basic logic, methods of proof, sequences, elementary number theory, basic set theory, elementary counting techniques, relations, and recurrence relations. Prerequisite “C” grade or higher or “Pass” in MATH 280 or equivalent Entrance Skills Without the f ...
... Introduction to discrete mathematics. Includes basic logic, methods of proof, sequences, elementary number theory, basic set theory, elementary counting techniques, relations, and recurrence relations. Prerequisite “C” grade or higher or “Pass” in MATH 280 or equivalent Entrance Skills Without the f ...
Introduction to Discrete Mathematics
... Why Discrete Math? Design efficient computer systems. •How did Google manage to build a fast search engine? •What is the foundation of internet security? ...
... Why Discrete Math? Design efficient computer systems. •How did Google manage to build a fast search engine? •What is the foundation of internet security? ...
famous mathematicians
... geometry, the algebraic system taught in schools today. He also created exponential notation, indicated by numbers written in what is now referred to as superscript (x 2 ) ...
... geometry, the algebraic system taught in schools today. He also created exponential notation, indicated by numbers written in what is now referred to as superscript (x 2 ) ...
Slides for Rosen, 5th edition
... • The basis of all of digital information processing is: Discrete manipulations of discrete structures represented in memory. • It’s the basic language and conceptual foundation for all of computer science. • Discrete math concepts are also widely used throughout math, science, engineering, economic ...
... • The basis of all of digital information processing is: Discrete manipulations of discrete structures represented in memory. • It’s the basic language and conceptual foundation for all of computer science. • Discrete math concepts are also widely used throughout math, science, engineering, economic ...
1 Introduction 2 What is Discrete Mathematics?
... This course covers the mathematical topics most directly related to computer science. Topics include: logic, basic set theory, proof techniques, number theory, mathematical induction, recursion, recurrence relations, counting, probability and graph theory. Emphasis will be placed on providing a cont ...
... This course covers the mathematical topics most directly related to computer science. Topics include: logic, basic set theory, proof techniques, number theory, mathematical induction, recursion, recurrence relations, counting, probability and graph theory. Emphasis will be placed on providing a cont ...
Discrete 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 can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (sets that have the same cardinality as subsets of the natural numbers, including rational numbers but not real numbers). However, there is no exact definition of the term ""discrete mathematics."" Indeed, discrete mathematics is described less by what is included than by what is excluded: continuously varying quantities and related notions.The set of objects studied in discrete mathematics can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business.Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computers which operate in discrete steps and store data in discrete bits. Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in branches of computer science, such as computer algorithms, programming languages, cryptography, automated theorem proving, and software development. Conversely, computer implementations are significant in applying ideas from discrete mathematics to real-world problems, such as in operations research.Although the main objects of study in discrete mathematics are discrete objects, analytic methods from continuous mathematics are often employed as well.In the university curricula, ""Discrete Mathematics"" appeared in the 1980s, initially as a computer science support course; its contents were somewhat haphazard at the time. The curriculum has thereafter developed in conjunction to efforts by ACM and MAA into a course that is basically intended to develop mathematical maturity in freshmen; as such it is nowadays a prerequisite for mathematics majors in some universities as well. Some high-school-level discrete mathematics textbooks have appeared as well. At this level, discrete mathematics it is sometimes seen a preparatory course, not unlike precalculus in this respect.The Fulkerson Prize is awarded for outstanding papers in discrete mathematics.