Maths (sem-3) b.sc previous question papers download in telugu and English

Mathematics (sem-3) previous question papers download in Telugu and English

Subject :-(Maths)

Subject name :-(Real analysis)

Year :-(2018,2019)

Hello students, I have a lot of previous question papers for every semester ( KAKATIYA UNIVERSITY).

The syllabus of maths (Real Analysis) is given below.

Syllabus of Real Analysis

Unit-1: 

INTRODUCTION

The real number system is the foundation on which the whole branch of Mathematics is known as Real Analysis tests. We shall here make a formal description of the real number system with axioms. There are different ways of introducing the real number system. We shall consider the real number system as undefined objects satisfying certain axioms. These axioms will characterize the real number system. These axioms are divided into three categories. ( 1 ) Field axioms ( 2 ) Order axioms ( 3 ) Completeness axiom. 

Unit-2 :

SUBSEQUENCES

 DEFINITION

 Let < > be a given sequence . I < > is a strictly increasing segame of satural subers ( ie . n . < B , < n < ... ) , then > is called a subsequence of < _ > . Eg 1. The sequences < 1.3.5 . - 2n - 1 .--- > , < 2 , 4 , 6 . 2- > and < 1. 4. 9. 16 . ---- > are all subsequences of < D > . Eg 2. The sequence of primes < 2 . 3. 5 , 7.11 . --- > is a subsequence of natural numbers < 1. 2. 3. 4. -- > Siete : The terms of a sequence occur in the same order in which der scores the original sequence . Accordingly . < 3,1,5,7 ..... > is not a subsequence of < 1,2,3,4,5,6,7 , ... >.

Unit-3 :

Sequence and series of a function

INTRODUCTION

 We study the infinite series with a variable First we take up some basic properties of power series. For studying the convergence of power series as that of the series in the previous chapter we have to take up the idea of the sequence of functions Further we introduce uniform convergence of a sequence of functions and illustrate its importance. Lastly, we take up term by term differentiation and integration of the power series SEQUENCE OF FUNCTIONS

Unit-4 :

RIEMANN INTEGRATION 

 In the previous classes, the process of integration is generally introduced as the inverse process of definition historically, however, the subject of integral arose in connection with the problems of finding areas of plane regions in which the area of a plane region is calculated as the limit of a sum. This notion of integral as summation is based on geometrical concepts. G.F.B. Riemann ( 1826 - 1866 ) gave the first arithmetic treatment of definite integral free from geometrical concepts . Riemann's definition covered only bounded function. Cauchy extended this definition to unbounded function. Later in 1902 Lebesgue introduced the integral on a firm foundation with many refinements and generalizations this chapter, we shall study the Riemann integral of real-valued bounded functions defined on some closed interval.

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Maths (Real ana analysis) (semester-3)

Maths (English medium) 2018 -question-paper download

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Click the above link to go to the chemistry paper-1 PDF. And you can download the PDF file from the page.

Maths (English medium) 2018 -question-paper download

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Maths (English medium) 2019 -question-paper download

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Click the above link to go to the chemistry paper-1 PDF. And you can download the PDF file from the page.

Maths (Telugu medium) 2019 -question-paper download

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