
MDU Mathematics III  Sem III Section D : NA(Testing of a hypothesis, tests of significance for large samples, Student s tdistribution (applications only), Chisquare test of goodness of fit Linear Programming Linear programming problems formulation, Solving linear programming problems using (i) Graphical method (ii) Simplex method (iii) Dual simplex method) 


1. Algebra of sets  Sigma Algebra and Borel Sets(Mathematics) 
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In this unit, we introduce the concept of algebra of sets. this unit also explains the concept of sigma algebra along with some examples. This unit provides an insight into Borel sets along with some examples.
Title: Math 3.2 Measure Theory




2. Metric Spaces, Completeness(Mathematics) 
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In this unit, we introduce the concept of metric spaces. We give the
properties of metric spaces and some theorems related to metric space.
Finally, we explain the Metric Completion Theorem.
Title: Math 3.3 Functional Analysis




3. Outer measure and measurable sets(Mathematics) 
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This unit explains Lebesgue outer measure and its properties. It also explains Lebesgue measurable sets and its properties (Theorems).
Title: Math 3.2 Measure Theory




4. Setting up of First Order Differential Equations and their Solutions(Mathematics) 
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Differential equations occur quite frequently in our daily life. The motion of an object can always be associated with a differential equation. The change in prices of commodities, the flow of fluids, the concentration of chemicals etc., often lead to differential equations. Such equations may depend on one or more independent variables. Further, it may include the derivatives of the first or high
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Title: Math 3.4 Mathematical Modeling




5. The Metric Topology(Mathematics) 
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Our main objective is to study the definition and some properties of metric topology in this unit.
Title: Math 3.1 Topology




6. Mathematical Modeling of Some Fundamental Problems(Mathematics) 
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Mathematical Modeling in terms of differential equations arises when the situation modeled involves some continuous variables varying with respect to other continuous variables and we have reasonable hypothesis about the rate of change of dependent variables with respect to independent variables. Mathematical models in terms of ordinary differential equations will be studied in this unit and the u
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Title: Math 3.4 Mathematical Modeling




7. Continuous Functions(Mathematics) 
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We define continuous function and homeomorphism in this unit.
Title: Math 3.1 Topology




8. Measurable functions, Littlewood's three principles(Mathematics) 
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This unit defines measurable functions along with examples. It also explains the Littlewood's three principles and states some theorems on measurable functions.
Title: Math 3.2 Measure Theory




9. Banach Contraction Mapping Theorem and Applications(Mathematics) 
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In this unit, we introduce the concept of Banach Contraction Mapping
Theorem and its Applications.
Title: Math 3.3 Functional Analysis




10. Closed Sets, limit points, Hausdorff spaces(Mathematics) 
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This unit deals with the definition of closed sets, limit points and neighborhood in a topological space. The Hausdorff spaces will we defined in the unit which deals with separation axioms.
Title: Math 3.1 Topology




11. Programming Languages and Operating Systems(Mathematics) 
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System software is a program or a group of programs written for computer system management. The system software's are developed by the manufactures. They are supervisory programs that help executing the user's program effectively. The operating systems, language processors (such as interpreters and compliers), and utility programs (such as loaders and linkers) are examples of system software are s
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Title: Math 3.5 Computer Programming




12. Building Blocks of Computer Programs(Mathematics) 
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The specification of the sequence of computational steps in a particular programming language is termed as a program. The task of developing programs is called programming. The person engaged in programming activity is called programmer. In this unit, we study on program analysis, Algorithm development, Flow chart, Decision tables and pseudo code.
Title: Math 3.5 Computer Programming




13. Parallel Computers and Network(Mathematics) 
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Parallel computing is a form of computation in which many instructions are carried out simultaneously operating on the principle that large problems can often be divided into smaller ones, which are then solved concurrently (in parallel). A network computing environment is one in which an organization has linked together personal computers that have been cOlU1ected into a network.
Title: Math 3.5 Computer Programming




14. Lebesgue measure, nonmeasurable sets(Mathematics) 
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This unit defines Lebesgue measure and proves certain theorems given in this unit. It also helps in distinguishing measurable and non measurable sets.
Title: Math 3.2 Measure Theory




15. Fundamental Aspect of Computers(Mathematics) 
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This help file presumes that you have little or no experience with the device commonly known as the PC (personal computer). Computers have become the basic necessity of any organization with serious objectives, They have made great inroads into everyone's day to day life and thinking. They are used for all sorts of problem solving ranging from simple addition to highly complex calculations in the
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Title: Math 3.5 Computer Programming




16. Introduction to mathematical Modeling(Mathematics) 
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A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used not only in the natural sciences such as physics, biology, earth science, meteorology and engineering disciplines like computer science, artificial intelligence, but also in the social sciences Physi
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Title: Math 3.4 Mathematical Modeling




17. Limitations of Mathematical Modeling(Mathematics) 
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A crucial part of the modeling process is the evaluation of whether or not a given mathematical model describes a system accurately. This question can be difficult to answer as it involves several different types of evaluation. In this regard we have discussed the limitations of modeling in following sections.
Title: Math 3.4 Mathematical Modeling




18. Quantitative Techniques_Question Paper 1June / July 2008(Quantitative Techniques) 
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Quantitative Techniques_Question Paper 1June / July 2008
Title: M.B.A First Semester Question Papers




19. Types of Relations and Representing Relations Using Matrices and Digraphs(Mathematics) 
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This section deals with the study of concept of binary relation and give you several geometric, computer and algebraic method of representations. Relationship between number, people, sets and any other entities can be formulated in the idea of the binary relation. In this section you will also learn the different properties that a binary relation can posess.
Title: Math 1.4 Discrete Mathematics




20. Warshalls Algorithm(Computer Science) 
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Warshall's algorithm, named after Stephen Warshall, who describe this algorithm in 1960, is an efficient method for computing the transitive closure of a relation. In general, algorithm can find the transitive closure of a relation on a set with n elements using 2n3(n = 1) bit operations.
Title: MSCS501 Discrete Mathematics




21. Operators(Mathematics) 
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An operator is a symbol which helps the user to command the computer to do a certain mathematical or logical manipulations. Operators are used in C language program to operate on data and variables. In this unit, we study the different types of operators, precedence and character input and output.
Title: Math 3.5 Computer Programming




22. Equivalence Relation(Computer Science) 
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Naturally we can now ask: Are there relations that simultaneously manifest all three properties? The answer is yes; For instance the relation is logically equivalent to on the set of propositions has all these properties. Such as a relation is an equivalence relation. For example in some programming languages .the names of variables can contain an unlimited
number of characters that are checked w
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Title: MSCS501 Discrete Mathematics




23. Algebra of Sequences(Mathematics) 
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Suppose we are given two convergent sequences. It is natural to ask the questions related to the convergence of the sequences obtained by using rational operations between the two given sequences. Then the answer is affirmative. Similar questions can be asked when both the given sequences are divergent or when one is convergent and the other is divergent or when one is bounded and the other is con
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Title: Math 1.2 Real Analysis  I




24. Mathematical Modelling through System of Differential Equations(Mathematics) 
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In mathematics, an ordinary differential equation (ODE) is an equation in which there is only one independent variable and one or more derivatives of a dependent variable with respect to the independent variable, so that all the derivatives occurring in the equation are ordinary derivatives.
Title: Math 3.4 Mathematical Modeling




25. Discrete Probability Distribution(Computer Science) 
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We have already observed that, in a chance experiment, it is often not the actual outcome that concems us but some quantity that depends upon the outcome. In a random experiment, we may be interested quite often in the numerical measure of the different outcomes.
Through the notion of random variable, we can develop methods for the study of experiments whose outcomes may be described numerically.
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Title: MSCS501 Discrete Mathematics






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