Ms. Udita Agrawal

B.Sc. (H), Mathematics Sem -IV

Riem. Intg and series of functions


B.Sc. (H), Mathematics Sem - III

INTRODUCTION TO REAL FUNCTIONS


B.Sc. (H), Mathematics Sem - V



B.Sc. (H), Mathematics Sem -II

The next topic is 'MONOTONE Sequences' . This is the  Relevent portion from the book " Introduction to Real Analysis" by R.G.Bartle .
Please go through this . We will be discussing the topic in detail on the e-study group made for this subject. I remain online at usual class time. Students are also required to go through the study material seriously and discuss their doubts in the e classes.

Lecture -2 Real Analysis Monotone Sequences

3.4.1. to. 3.4.12
Not to be done. - 3.4.4, 3.4.7, 3.4.9, 3.4.11
From 3.5
3.5.1. to  3.5.6
Solutions are also attached

Section 3.4 and 3.5

Next Topic to be done Sec 7.8 Improper integrals
Elements of Real Analysis
Charles g Denlinger

Sec 7.8 Improper integrals

Topic  -- Infinite Series
Relevent portions from the prescribed  book 
Elements of real Analysis 
     By
Charles Denlinger

Chapter 8, Infinite Series (i)

B.Sc. (H), Mathematics Sem -IV

Riem. Intg and series of functions

Lecture - 1 Riem. int. and Unif. Conv.

Next Topic is Uniform conergence of series of functions.  This is the Relevent study material from
Introduction to Real Analysis , R. G. Bartle . Students are required to go through this . We will be discussing the topic in detail on the e study group made for this subject.

POWER SERIES

Relevent portion from the prescribed book
 Elementary Analysis
  By
 K.A. ROSS