Subject - Mathematics (UG Affiliated Colleges)

Subject - Mathematics (UG Affiliated Colleges)

Developed By: Dr. S. S. Bellale, Vice Principal  & Head, Department of Mathematics, Dayanand Science College, Latur                      Click Here ......
Developed By: Dr. B.D. Karande, Department of Mathematics, Maharashtra Udayagiri Mahavidyalaya, Udgir
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc.  Mathematics II  III

VI

Real Analysis-I

  I

Sets and Its Properties

This video discusses the neighborhood of a point, deleted neighborhood, some examples, Interior Point, Open set, Some examples on open set.

https://youtu.be/UEd1TBgJVy4
B.Sc.  Mathematics II  III

VI

Real Analysis-I

  I Sets and Its Properties

This video discusses Some Theorems and Corollary's on Open Set, Limit Point of a Set, Derived set, Bolzano-Weierstrass Theorem, and Some Examples.

https://youtu.be/hENPvQNs7eE
B.Sc.  Mathematics II  III

VI

Real Analysis-I

  I Sets and Its Properties

This video discusses Adherent point, Closure of Set, Closed Sets, Dense Sets, Perfect Set. Some Typical, Examples.

https://youtu.be/mzVC1x-Gjyk
B.Sc.  Mathematics II  III

VI

Real Analysis-I

 I Sets and Its Properties This video discusses Theorems on Closed Sets, Corollary's on Closed Set, Lower and Upper Limits, Some Typical Examples.

https://youtu.be/dLqsqt01jFs
B.Sc.  Mathematics II III

VI

Real Analysis-I

 I  Sets and Its Properties

This video discusses Countably infinite Set, Countable Set, Uncountable Set, Different Types of Countable Set, Different Types of Uncountable Set, Some Theorems and, Examples

 https://youtu.be/waBpjpPpQXc
Developed By: Dr. A.B.Jadhav, Assistant Professor and Head, Dnyanopasak College, Parbhani
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc.  Mathematics II III

VIII 

O.D.E

 I  Formation of Differential Equation and Equation of the first order & of the first degree

Ordinary & Partial differential equations, order & degree. Solution &Constant of integration. Equation of the form

f1(x)dx+f2(y)dy=0) Equation homogeneous in x & y

Non-homogeneous equation of the first degree in x & yExact differential equation Condition that and equation of the first order be Exact Rules for finding the solution of an Exact differential equation Integrating factor, The no of Integrating factor is infinite, Integrating factor found by inspections.

 https://www.youtube.com/playlist?list=PL9pjABunwKU-TrvcdthMLCEiB1N4u_HgD
Developed By: Mrs. Asha R. Meshram, Assistant Professor, N.S.B.College Nanded
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc.  Mathematics II III

VII

Group Theory

 I   

Cartesian Product of two Sets.

 

Definition and Examples of Mapping /Functions

https://drive.google.com/file/d/
1PUr5Ma73iTnnhC8FfCtqCD0Zy3XcW-tH
/view?usp=sharing

https://drive.google.com/file/d/
1ox-1wNDDn516zVNRiGbPfcOq8RUa0Bo6
/view?usp=sharing

https://drive.google.com/file/d/
13lCalpgTNMYXN4sckl4YVpqxsir3cgSi
/view?usp=sharing

https://drive.google.com/file/d/
1wo8a7jhVmjSm8KFtuNOO-igpieXTEXUc
/view?usp=sharing
Developed By: Dr. C.D.Bele, Head and Assistant Professor, Shri Shivaji College, Parbhani
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc.  Mathematics II  III

VIII

Ordinary Differential Equation

 I Equations of the first order and of the first degree Definition of differential equation, types of differential equation, order and degree of differential equation, differential equation of the form f1(x) dx+f2(y)dy=0, differential equations homogenous in x and y, non-homogenous differential equation of the first degree in x and y

https://youtu.be/UAJOQlwTRKc

https://youtu.be/JRFzSM9N_6c

https://youtu.be/pdw8pJRHEpA

https://youtu.be/P2TiR2MyObU

https://youtu.be/MmE4aaMjGs4
B.Sc.  Mathematics III  V

XII

Metric Space

 I Metric Spaces Definition of Metric space, note from definition and all examples of metric spaces

https://youtu.be/QYrxSG0Z3Vs

https://youtu.be/vN7ARX9O1l4

https://youtu.be/mVJxxlEEPg0

https://youtu.be/jTVKtUmi_Lk

https://youtu.be/FAz_YNvYWVo
Developed By: Dr.H.K.Undegaonkar, Bahirji Smart Mahavidyalaya Basmathnagar
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc.  Mathematics III V

XII

Metric Space

 I

Definitions and examples

Definitions and examples

Closure of a set and two properties

https://youtu.be/AGxFf3udkms

https://youtu.be/BHzFqcP5ekM
Developed By: Mr. Mahesh S Wavare, Associate Professor and Head, Department of Mathematics, Rajarshi Shahu Mahavidyalaya, Latur (Autonomous)
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc.  Mathematics III V

XIII (A)

 I

Vector Space

Vector Space Definition

Examples on Vector Space

More Examples on Vector Space

Basic Results and Examples

Vector Space Theorem and Examples

Exercise Examples

More Examples

Subspace

Subspace Examples 

Subspace Examples

More Examples

https://youtu.be/b0tlAmJMbZc

https://youtu.be/wHzvyMX2eWk

https://youtu.be/IIHpc2Xmo_s

https://youtu.be/mgfC3il_4_Q

https://youtu.be/f0mqRrCS0-E

https://youtu.be/eOJrLboYJHg

https://youtu.be/h2ggjzrMXaQ

https://youtu.be/iKqKzURCebI

https://youtu.be/DSS8nBEjS

https://youtu.be/DSS8nBEjS_s

https://youtu.be/JvQZ2a8_HPM
B.Sc.  Mathematics III V

XIII (A)

 I

Vector Space

Linear Combination and Linear Span of Vectors

https://youtu.be/tFvqdFdkRNg
B.Sc.  Mathematics III V

XIII (A)

 I

Vector Space

Examples on Linear Span of Vectors

https://youtu.be/wpsnZV14rCY
B.Sc.  Mathematics III V

XIII (A)

 I

Vector Space

Theorems on Linear Span

https://youtu.be/lkgrn9lHkQQ
B.Sc.  Mathematics III V

XIII (A)

 I

Vector Space

Linearly Dependent |and Linearly Independent Set of Vectors

https://youtu.be/SWHUkn4Qu_0
B.Sc.  Mathematics III V

XIII (A)

 I

Vector Space

Examples on Linear Span

https://youtu.be/2GF95iZDuuA
B.Sc.  Mathematics III V

XIII (A)

 I

Vector Space

Linearly Independent Examples

https://youtu.be/Cmb4hdMgT20
B.Sc.  Mathematics III V

XIII (A)

 I

Vector Space

More Examples

https://youtu.be/36VFp7T62u0
B.Sc.  Mathematics III V

XIII (A)

 I

Vector Space

Theorem on Linearly Dependent

https://youtu.be/Yv7-DuBDDO8
B.Sc.  Mathematics III V

XIII (A)

 I

Vector Space

Basis of Vector Space

https://youtu.be/FU3CZ01Fqsw
Developed By: Sharad Kadam, Assistant Professor, Shri Shivaji College, Parbhani
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc.  Mathematics III V

XIII
Linear Algebra

 I

Vector Spaces

Vector Space - Definition & Example

https://www.youtube.com/watch?v=BXr-UyUYeis&t=1149s
B.Sc.  Mathematics III V

XIII
Linear Algebra

 I

Vector Spaces

Subspace and Homomorphism

https://www.youtube.com/watch?v=PrmtVjxyjGs&t=241s
B.Sc.  Mathematics III V

XIII
Linear Algebra

 I

Vector Spaces

Subspace Examples

https://www.youtube.com/watch?v=cQr4Syq7NiE&t=675s
B.Sc.  Mathematics III V

XIII
Linear Algebra

 I

Vector Spaces

Quotient Space

https://www.youtube.com/watch?v=nh7eh2qoXEU&t=387s
B.Sc.  Mathematics III V

XIII
Linear Algebra

 I

Vector Spaces

Direct Sum

https://www.youtube.com/watch?v=8mK4JbltVXU&t=203s
Developed By: Dr. Y.M. Muley, Head and Asst. Professor, Kai. Rasika Mahavidyalaya,Deoni
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc. Mathematics III V

XIV-C
Complex Analysis

 I Complex Number Sum and products, Basic Algebraic Properties https://youtu.be/OY8dlQLyiho
B.Sc. Mathematics III V

XIV-C
Complex Analysis

 I Complex Number Exercises on sum and product of complex number https://youtu.be/RiJmysZCGU0
B.Sc. Mathematics III V

XIV-C
Complex Analysis

 I Complex Number Division by a non-zero complex number https://youtu.be/Q0wYAzywmmc
B.Sc. Mathematics III V

XIV-C
Complex Analysis

 I Complex Number Exercises on division by a non-zero complex number https://youtu.be/xhgzs7ffrFU
B.Sc. Mathematics III V

XIV-C
Complex Analysis

 I Complex Number Moduli/ Modulus of complex number https://youtu.be/Iu83-uQ7AzA
B.Sc. Mathematics III V

XIV-C
Complex Analysis

 I Complex Number Exercises on Moduli https://youtu.be/aHdsmRJfhjI
B.Sc. Mathematics III V

XIV-C
Complex Analysis

 I Complex Number Complex Conjugate https://youtu.be/5j63Ph4Zb1s
B.Sc. Mathematics III V

XIV-C
Complex Analysis

 I Complex Number Exercises on conjugate https://youtu.be/yoEpMZzurpA
B.Sc. Mathematics III V

XIV-C
Complex Analysis

 I Complex Number Exponential form of complex number https://youtu.be/gxOYWdgZmgE
Developed By: Mr. Prashant P. Waghmare, Assistant Professor, Maharashtra Uadayagiri Mahavidyalaya, Udgir
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc.  Mathematics III V

XIII              Linear Algebra

 I

Vector Spaces

 This video discusses the definition of Vector Space and some examples of vector spaces.

https://youtu.be/q-wS5XSgxtI
B.Sc.  Mathematics III V

XIII              Linear Algebra

 I

Vector Spaces

 This video Discusses the Subspace of a vector space, Homomorphism, and Kernel of homomorphism

https://youtu.be/VtMD3zFnk9E
B.Sc.  Mathematics III V

XIII              Linear Algebra

 I

Vector Spaces

 This video discusses the Quotient Space and its example.

https://youtu.be/dQ66HYETW5M
Developed By: Dr. S.P.Hatkar, Assistant Professor, A.E.S. Arts, Commerce and Science College Hingoli
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc.  Mathematics II III

VI

 I

 

Number system

Supremum and infimum

Order completeness in real number

Archimedean property

https://youtu.be/PVyOpTDiTsA

https://youtu.be/VibpoUZlLhE

https://youtu.be/uSHIb_1EzLc

https://youtu.be/HI8rF7nMPhE
B.Sc.  Mathematics III V

XIII

 I

Vector Spaces

Definition and examples

Subspace part 1

Subspace part 2

Homomorphism

Direct sum and linear span

Basis of vector space

Dimensions of vector space.

Linear dependence and Independence

https://youtu.be/7oWvQO9VId8

https://youtu.be/C4h8EDQ4eAw

https://youtu.be/3lXnPJaQr2E

https://youtu.be/qA8ddZzlKjc

https://youtu.be/m-tIRU8VZi0

https://youtu.be/m-tIRU8VZi0

https://youtu.be/vJelLUXj19g

https://youtu.be/32yZIJMJuLE
Developed By: Dr. Sayyed Jalil, Asst. Professor and Head, H.J.P. College, Himayatnagar.
Program Subject Year Semester Paper Unit Unit Name Content YouTube Kinks
B.Sc.  Mathematics III V

XIII

 I

Vector Spaces

Vector Space & Exaples

Suspace & Exaples

Qutient Space.

Linear Span & Independence.

https://youtu.be/qM5utyytcqw

https://youtu.be/uxnP-7aoNAs

https://youtu.be/KNWW755Tje4

https://youtu.be/iETSmwt8RYU


 

कॉपीराइट © 2020 srtmun.ac.in. सर्व हक्क राखीव.