introduction to real analysis bartle solutions - Lec#24(Part-3) Ch#3 Exercise#3.1 Questions 12 to 18

introduction to real analysis bartle solutions - Lec#24(Part-3) Ch#3 Exercise#3.1 Questions 12 to 18
Dear students in this lecture we will discuss Remaining exercise questions of 3.1 (Questions#12 to 18). Subscribe my channel to get daily updates.

Course Name: Real Analysis ( By Robert G Bartle)
Course Instructor: Malik Aqeel (Math tutor 2)
GC university

__________________________Complex Analysis Lectures series_____________________________

_______________________Real Analysis lecture series______________________________________

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In this part of lecture series course "Real Analysis I" Course of BS mathematics 5th Semester, we shall cover the following topics.

Real Number System
 Ordered sets, fields, the field of real numbers
 Completeness property of R
 The extended real number system
 Euclidean spaces
 Finite, countable and uncountable sets
Sequences and Series
 Sequences, subsequences, convergent sequences, Cauchy sequences
 Monotone and bounded sequences, Bolzano Weierstrass theorem
 Series, series of non-negative terms
 Partial sums, the root and ratio tests, integral test, comparison test
 Absolute and conditional convergence
Limit and Continuity
 The limit of a function
 Continuous functions
 Types of discontinuity
 Uniform continuity
 Monotone functions
Differentiation
 The derivative of a function
 Mean value theorems, the continuity of derivatives
 Taylor’s theorem
Functions of Several Variables
 Partial derivatives and differentiability, derivatives and differentials of composite functions
 Change in the order of partial derivative, implicit functions, inverse functions, Jacobians
 Maxima and minima

Recommended Books
1. W. Rudin, Principles of Mathematical Analysis, 3rd edition, (McGraw Hill, 1976)
2. R. G. Bartle, Introduction to Real Analysis, 3rd edition, (John Wiley and Sons, 2000)
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Thanks for watching

[fajarfajar]

Good job continue and help other Allah reward u 🙂

[mathmagician]

Plz complete this course as soon as possible sir

[waqasahmad]

ASSALAM O ALAIKUM sir!!
Sir plz section 3.2 real analysis k topic p aik lectur bna dejeay

[karmdad]

Assalam o alaikum sir...hmen ye kese pta chly ga k hm ne kb <abslon wala formula use krna he...or kb <C(an) wala.???

[waqasahmad]

Monday ko presentation he that is why sir i want to clear this topic 3.2 so that i can present it clearly

[onlyshortsforyou]

Sir 3.2 limits theorem bhi upload kre kindly aaj hii

[saniamalik]

Assalam o alaikum...
sir aapny question 14 men last step L=bL kese likha.??
kindly bta den