Mathematics Optional UPSC -CSE Real Analysis 1st

Mathematics Optional UPSC CSE Real Analysis -1st Overview

unacademy Home Explore Plus a MANNU KUMAR RA Courses Educators Lessons Mannu Kumar Rai Follow Teaching Maths& Current affairs since 2015. Cleared NDA 3 times. 99.18%tile in UP board 2016

CDS- PYQs Chemistry Complex Numbers NDATEXAM By Mannu Kumar Rai Physics 150 + MCQs Sets, Relations & Functions NDA EXAM Trigo ometry NDA/NA EXAM POLITY CDS PYQ:s Questions Matrics and Determinants NDA/ EXAM By Mannu Kumar Rai By Mannu Kumar Rai

Rate (5/4/3/2/1 stars) UPVOT COMMENTS NOTES Unacademy user Leave a comment comment Comments Share

Paper-Vl 250 Paper-Vll 250 Optional Subject - Paper .1 Optional Subject Paper 2

You can score 350+

PAPER I (1)Linear Algebra (2) Calculus (3) Analytic Geometry (4) Ordinary Differential Equations (5) Dynamics and Statics (6) Vector Analysis

PAPER -II ) Algebra Real Analysis ) Complex Analysis ) Linear Programming ) Partial Differential Equations ) Numerical Analysis and Computer Programming ) Mechanics and Fluid Dynamics

Real Analysis Real number system as an ordered field with least upper bound property; 'Sequences, limit of a sequence, Cauchy sequence, completeness of real line; Series and its convergence, absolute and conditional convergence of series of real and complex terms, rearrangement of series Continuity and uniform continuity of functions, properties of continuous functions on compact set. Riemann integral, improper integrals; Fundamental theorems of integral calculus. Uniform convergence, continuity, differentiability and

Real Numbers & Functions a. SETS AND NUMBERS b. STRUCTURE OF REAL Numbers c. TOPOLOGY of THE REAL LINE d. REAL FUNCTIONS

5 lessons,

50m 5s

Enroll

27

✕Download

Mannu Kumar Rai

#Cleared NDA &CDS Exam.
#99.18%tile in UP board 2016.
#Certificate holder in MATHEMATICS from University of New South Wales.

U

Unacademy user

Jg

Jagmohan gupta

2 years ago

best ever explanation very easy to understand as well as easy to write

0

Reply

Rc

Ravita chaudhary

4 months ago

but I can't understand what can I do

0

Reply

Mannu Kumar Rai

4 months ago

Try it once more .....with basics.....first

Rc

Ravita chaudhary

4 months ago

sir please give me ur contact number iam si in up police

Rc

Ravita chaudhary

4 months ago

9720320965

Rc

Ravita chaudhary

4 months ago

my number please call me

Mannu Kumar Rai

4 months ago

If you have time , go through Class 11th and 12th MATHEMATICS

Mannu Kumar Rai

4 months ago

Then you can decide whether to choose MATHEMATICS as optional or not.

Rc

Ravita chaudhary

4 months ago

hello sir Mera optional math h

0

Reply