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MDU Mathematics -III - Sem III
Section D : NA(Testing of a hypothesis, tests of significance for large samples, Student s t-distribution (applications only), Chi-square 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) Total View (904)

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.
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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 6
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2. Metric Spaces, Completeness(Mathematics) Total View (879)

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.
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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 18
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3. Outer measure and measurable sets(Mathematics) Total View (899)

This unit explains Lebesgue outer measure and its properties. It also explains Lebesgue measurable sets and its properties (Theorems).
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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 11
 Price: Rs 8.25

4. Setting up of First Order Differential Equations and their Solutions(Mathematics) Total View (927)

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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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 21
 Price: Rs 15.75

5. The Metric Topology(Mathematics) Total View (860)

Our main objective is to study the definition and some properties of metric topology in this unit.
Title:
 Published on: 29/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 4
 Price: Rs 3

6. Mathematical Modeling of Some Fundamental Problems(Mathematics) Total View (911)

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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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 16
 Price: Rs 12

7. Continuous Functions(Mathematics) Total View (858)

We define continuous function and homeomorphism in this unit.
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 Published on: 19/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 7
 Price: Rs 5.25

8. Measurable functions, Littlewood's three principles(Mathematics) Total View (894)

This unit defines measurable functions along with examples. It also explains the Littlewood's three principles and states some theorems on measurable functions.
Title:
 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 7
 Price: Rs 5.25

9. Banach Contraction Mapping Theorem and Applications(Mathematics) Total View (881)

In this unit, we introduce the concept of Banach Contraction Mapping Theorem and its Applications.
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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 7
 Price: Rs 5.25

10. Closed Sets, limit points, Hausdorff spaces(Mathematics) Total View (860)

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:
 Published on: 29/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 10
 Price: Rs 7.5

11. Programming Languages and Operating Systems(Mathematics) Total View (888)

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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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 10
 Price: Rs 7.5

12. Building Blocks of Computer Programs(Mathematics) Total View (889)

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.
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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 10
 Price: Rs 7.5

13. Parallel Computers and Network(Mathematics) Total View (892)

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:
 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 10
 Price: Rs 7.5

14. Lebesgue measure, nonmeasurable sets(Mathematics) Total View (901)

This unit defines Lebesgue measure and proves certain theorems given in this unit. It also helps in distinguishing measurable and non measurable sets.
Title:
 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 5
 Price: Rs 3.75

15. Fundamental Aspect of Computers(Mathematics) Total View (883)

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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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 15
 Price: Rs 0

16. Introduction to mathematical Modeling(Mathematics) Total View (913)

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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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 17
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17. Limitations of Mathematical Modeling(Mathematics) Total View (908)

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.
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 Published on: 30/08/13 Author: KSOU Publisher: Karnataka State Open University Pages: 3
 Price: Rs 2.25

18. Quantitative Techniques_Question Paper 1-June / July 2008(Quantitative Techniques) Total View (236)

Quantitative Techniques_Question Paper 1-June / July 2008
Title:
 Published on: 28/10/14 Author: KSOU Publisher: Karnataka State Open University Pages: 2
 Price: Rs 1.5

19. Types of Relations and Representing Relations Using Matrices and Digraphs(Mathematics) Total View (739)

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:
 Published on: 08/01/14 Author: KSOU Publisher: Karnataka State Open University Pages: 11
 Price: Rs 8.25

20. Warshalls Algorithm(Computer Science) Total View (201)

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:
 Published on: 28/09/13 Author: KSOU Publisher: Karnataka State Open University Pages: 13
 Price: Rs 9.75

21. Operators(Mathematics) Total View (963)

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.
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 Published on: 21/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 13
 Price: Rs 9.75

22. Equivalence Relation(Computer Science) Total View (205)

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 ......
Title:
 Published on: 28/09/13 Author: KSOU Publisher: Karnataka State Open University Pages: 13
 Price: Rs 9.75

23. Algebra of Sequences(Mathematics) Total View (630)

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 ......
Title:
 Published on: 06/01/14 Author: KSOU Publisher: Karnataka State Open University Pages: 8
 Price: Rs 6

24. Mathematical Modelling through System of Differential Equations(Mathematics) Total View (990)

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:
 Published on: 21/10/13 Author: KSOU Publisher: Karnataka State Open University Pages: 19
 Price: Rs 14.25

25. Discrete Probability Distribution(Computer Science) Total View (197)

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. ......
Title:
 Published on: 28/09/13 Author: KSOU Publisher: Karnataka State Open University Pages: 19
 Price: Rs 14.25