Table of Contents

**MTH621: Real Analysis I**

The Real Analysis I is the 1st course towards the rigorous (formal) treatment of the fundamental concepts of mathematical analysis. MTH621 Handouts pdf

# MTH621 Handouts pdf

**Course Category: Mathematics**

**Course Outline**

**The Real Number System:**Set-theoretic statements, the real and complex number systems, the principle of mathematical induction, and ordered sets.

**Sequences and Series:**convergent or divergent sequences and series, Some Special Sequences, Subsequence, Tests for convergent or divergent sequences and series.

**Limits, Continuity and Differentiability:**Limit of a function, prove various theorems about limits, sequences, and functions. Continuity of real-valued functions, prove various theorems about continuous functions with an emphasis on the proofs. Derivative of a function, proof of various theorems about dif-

**Riemann Integration:**Riemann sums, Riemann integral, proof of various results about the Riemann integrals. MTH621 Handouts pdf

**ALSO, SEE:**

##### Jazz Internet Packages | Daily, Weekly, and Monthly and 3-Day Jazz

##### Zong free internet code 2022 | Get Free internet 3G/4G

##### TELENOR FREE INTERNET PACKAGES

**Join VU assignment solution groups and also share with friends. We send solution files, VU handouts, VU past papers, and links to you in these WhatsApp groups. To join WhatsApp groups click the below links.**

**JOIN VU STUDY GROUPS**

### MTH621 HANDOUTS

**MTH621: Real Analysis I**

#### Universal Set

The understanding that the members of all sets under consideration in any given context come from a specific collection of elements, is called the universal set.

#### Number Theory

Number theory is a branch of mathematics that studies the properties of, and the relationships between, particular types of numbers.

- The set of natural numbers N.
- The prime numbers.

The primes are the building blocks of the positive integers.