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 AnalysisI 
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. 

B.Sc.  Mathematics  II  III 
VI Real AnalysisI 
I  Sets and Its Properties 
This video discusses Some Theorems and Corollary's on Open Set, Limit Point of a Set, Derived set, BolzanoWeierstrass Theorem, and Some Examples. 

B.Sc.  Mathematics  II  III 
VI Real AnalysisI 
I  Sets and Its Properties 
This video discusses Adherent point, Closure of Set, Closed Sets, Dense Sets, Perfect Set. Some Typical, Examples. 

B.Sc.  Mathematics  II  III 
VI Real AnalysisI 
I  Sets and Its Properties  This video discusses Theorems on Closed Sets, Corollary's on Closed Set, Lower and Upper Limits, Some Typical Examples.  
B.Sc.  Mathematics  II  III 
VI Real AnalysisI 
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 f_{1}(x)dx+f_{2}(y)dy=0) Equation homogeneous in x & y Nonhomogeneous 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=PL9pjABunwKUTrvcdthMLCEiB1N4u_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/ https://drive.google.com/file/d/ https://drive.google.com/file/d/ https://drive.google.com/file/d/ 

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, nonhomogenous differential equation of the first degree in x and y  
B.Sc.  Mathematics  III  V 
XII Metric Space 
I  Metric Spaces  Definition of Metric space, note from definition and all examples of metric spaces  
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 

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 

B.Sc.  Mathematics  III  V 
XIII (A) 
I 
Vector Space 
Linear Combination and Linear Span of Vectors 

B.Sc.  Mathematics  III  V 
XIII (A) 
I 
Vector Space 
Examples on Linear Span of Vectors 

B.Sc.  Mathematics  III  V 
XIII (A) 
I 
Vector Space 
Theorems on Linear Span 

B.Sc.  Mathematics  III  V 
XIII (A) 
I 
Vector Space 
Linearly Dependent and Linearly Independent Set of Vectors 

B.Sc.  Mathematics  III  V 
XIII (A) 
I 
Vector Space 
Examples on Linear Span 

B.Sc.  Mathematics  III  V 
XIII (A) 
I 
Vector Space 
Linearly Independent Examples 

B.Sc.  Mathematics  III  V 
XIII (A) 
I 
Vector Space 
More Examples 

B.Sc.  Mathematics  III  V 
XIII (A) 
I 
Vector Space 
Theorem on Linearly Dependent 

B.Sc.  Mathematics  III  V 
XIII (A) 
I 
Vector Space 
Basis of Vector Space 

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 
I 
Vector Spaces 
Vector Space  Definition & Example 

B.Sc.  Mathematics  III  V 
XIII 
I 
Vector Spaces 
Subspace and Homomorphism 

B.Sc.  Mathematics  III  V 
XIII 
I 
Vector Spaces 
Subspace Examples 

B.Sc.  Mathematics  III  V 
XIII 
I 
Vector Spaces 
Quotient Space 

B.Sc.  Mathematics  III  V 
XIII 
I 
Vector Spaces 
Direct Sum 

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 
XIVC 
I  Complex Number  Sum and products, Basic Algebraic Properties  https://youtu.be/OY8dlQLyiho 
B.Sc.  Mathematics  III  V 
XIVC 
I  Complex Number  Exercises on sum and product of complex number  https://youtu.be/RiJmysZCGU0 
B.Sc.  Mathematics  III  V 
XIVC 
I  Complex Number  Division by a nonzero complex number  https://youtu.be/Q0wYAzywmmc 
B.Sc.  Mathematics  III  V 
XIVC 
I  Complex Number  Exercises on division by a nonzero complex number  https://youtu.be/xhgzs7ffrFU 
B.Sc.  Mathematics  III  V 
XIVC 
I  Complex Number  Moduli/ Modulus of complex number  https://youtu.be/Iu83uQ7AzA 
B.Sc.  Mathematics  III  V 
XIVC 
I  Complex Number  Exercises on Moduli  https://youtu.be/aHdsmRJfhjI 
B.Sc.  Mathematics  III  V 
XIVC 
I  Complex Number  Complex Conjugate  https://youtu.be/5j63Ph4Zb1s 
B.Sc.  Mathematics  III  V 
XIVC 
I  Complex Number  Exercises on conjugate  https://youtu.be/yoEpMZzurpA 
B.Sc.  Mathematics  III  V 
XIVC 
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.  
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  
B.Sc.  Mathematics  III  V 
XIII Linear Algebra 
I 
Vector Spaces 
This video discusses the Quotient Space and its example.  
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 

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 

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. 