Mathematics – Gargaon College E-Shiksha

Introduction, Law of Trichotomy and related results [by Sujata Goala] https://cutt.ly/Bb3gJGk
Upper Bound and Lower Bound of a subset of real number [by Sujata Goala] https://cutt.ly/yb3j31C
Suprema and Infima, Completeness property, Archimedean Property [by Sujata Goala] https://cutt.ly/Yb3EM
THEOREM 1.3.4 BARTLE [by Sujata Goala] https://youtu.be/Afceyh0MqlU
THEOREM 1.3.5 BARTLE [by Sujata Goala] https://youtu.be/NomFeGxvHqE
THEOREM 1.3.9 BARTLE [by Sujata Goala] https://youtu.be/asLKpk7WILk
THEOREM 1.3.10 BARTLE [by Sujata Goala] https://youtu.be/zYpXnwXHxlA

Definition parabolic hyperbolic and elliptic PDE [by Sujata Goala] https://youtu.be/R4snmaRw7AQ
Example parabolic hyperbolic and elliptic PDE [by Sujata Goala] https://youtu.be/55vl3a9wF64

Paper : C4.2 Riemann Integration and Series of Function

Unit 4

Prerequisite for Unit 4 [by Sujata Goala] https://youtu.be/4ouTaSrfjFI
Definition of pointwise convergent sequence of function [by Sujata Goala] https://youtu.be/eh14x4jaecw
Example of pointwise convergent sequence of functions (part-1) [by Sujata Goala] https://youtu.be/eh14x4jaecw
Example: Sequence of function ( not pointwise convergent ) [by Sujata Goala] https://youtu.be/QMrR2FNYcfs
Example of pointwise convergent sequence of functions (part-2) [by Sujata Goala] https://youtu.be/IyCOVtGtLNg
Dirichlet’s test and Abel’s test [by Sujata Goala] https://youtu.be/YxASHjFqEjY

Paper: MM601 (M)

Unit I

Definition and Example of Metric Space [by Sujata Goala] https://cutt.ly/abWVIXV
Definition and example of Open Sphere [by Sujata Goala] https://cutt.ly/ybWV74Z
Definition and example of Neighbourhood and open set [by Sujata Goala] https://cutt.ly/ab0OcWB
The interior point, Boundary point, Equivalent Metric [by Sujata Goala] https://bit.ly/3ePc44X
Limit point and Closure of a set [by Sujata Goala] https://bit.ly/33IxSZE
Distance between two set in a Metric Space, Bases of a Metric Space [by Sujata Goala] https://bit.ly/3bs02Mw
Theorem 2.11.2 ((g),(h),(i)) [by Sujata Goala] https://youtu.be/s29nbDH8Q0k
Theorem 2.11.2 ((a)-(f)) [by Sujata Goala] https://youtu.be/Bg1nCpaALNo
Interior point and theorem : 2.6.3,2.6.4 [by Sujata Goala] https://youtu.be/YoiC0Vp_b7g

Paper: MM602 (M)

Unit I

Formulation of Recurrence Relation [by Harekrishna Mili] https://cutt.ly/QbWChEz
Solution of Recurrence Relation [by Harekrishna Mili] https://cutt.ly/kbWCcv
Solution of Homogeneous Recurrence Relation [by Harekrishna Mili] https://cutt.ly/6b0TVpH
Linear Homogeneous Recurrence Relation of Order Two [by Harekrishna Mili] https://cutt.ly/yb0IyeV
Finding General Solution of Linear Homogeneous Recurrence Relation.[by Harekrishna Mili] https://cutt.ly/3b0IUJ4
Solving Linear Non-Homogeneous Recurrence Relation.[by Harekrishna Mili] https://cutt.ly/Vb0INyL

Paper: MM603 (M)

Unit I

Automorphism of Group [Dr. Kabita Phukan] https://cutt.ly/WbWX1tF
Inner Automorphism [Dr. Kabita Phukan] https://cutt.ly/YbWCyFO
External and Internal Direct Products [Dr. Kabita Phukan] https://cutt.ly/Ab0OgTG
Partial Differential Equation: Introduction [by Harekrishna Mili] https://youtu.be/5tQb2aRK_bc
Origin Of First Order PDE [by Harekrishna Mili] https://youtu.be/dWL2YMCMNEc
Construction of First Order PDE: Examples [by Harekrishna Mili] https://youtu.be/jXWZpHjJj-4
LAGRANGE’S First Order PDE [by Harekrishna Mili] https://youtu.be/cKcTSLpQ-f0
Solved Problem: LAGRANGE’S PDE [by Harekrishna Mili] https://youtu.be/JHpk4iNnPag
Cauchy’s Problem and Method to solve First Order PDE [by Harekrishna Mili] https://youtu.be/saeTObOSWqA
Integral Surface Passing through a given curve [by Harekrishna Mili] https://youtu.be/SFDthxlZuo0
Classification of First Order Linear PDE [by Harekrishna Mili] https://youtu.be/OjCV69lmf60
Surface orthogonal to system of surfaces [by Harekrishna Mili] https://youtu.be/pn1h9y2kRAQ
Surface Integrals passing through a given curve [by Harekrishna Mili] https://youtu.be/0v6t7wcRook