Developed By: Dr. S. S. Bellale, Vice Principal & Head, Department of Mathematics, Dayanand Science College, Latur  
Program  Subject  Year  Semester  Paper  Unit  Unit Name  Content  YouTube Kinks 
B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Syllabus, Definition and Basic Concepts 
https://www.youtube.com/playlist? 
B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Introduction of Real Analysis 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Composition and Field Structure 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Field structure 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Order Structure 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Completeness Property 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Intervals: Open and Closed 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Bounded Unbounded Sets 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Supremum and Infimum 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Examples on Supremum and Infimum 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Completeness in the Set of Real 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Archimedean Property of Real Numbers 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Archimedean Property and Dedekind's Property 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Representation of a Number on Real Line 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Absolute Value of Real Number 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Neighborhood of Point 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Open Set and its Examples 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Theorems on Open Set 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Limit Point of a Set 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Bolzano Weierstrass Theorem 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Examples on Derived Sets 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Closure of a Set and Closed Sets 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Some Important theorems on Closed Sets 

B.Sc.  Mathematics  II  III 
VI  Real 
I 
Sets and 
Some Important theorems on Closed Sets 

B.Sc.  Mathematics  II  IV 
IXReal 
I 
Sequence and Series 
Examples of Sequences 
https://www.youtube.com/playlist? 
Developed By: Dr. S. S. Bellale, Vice Principal & Head, Department of Mathematics, Dayanand Science College, Latur  
Program  Subject  Year  Semester  Paper  Unit  Unit Name  Content  YouTube Kinks 
B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Syllabus, Definition of Metric Spaces 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Basic Concepts of and types of metric spaces 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Metric Space on set of Real Numbers 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Euclidean Space and its proof 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Hilbert's space and its proof 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Rectangular Metric Space 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Frechet Metric Spaces 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Bounded metric Space 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Open and Closed Spheres 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Neighborhood of a Point 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Open Set and Open Sphere 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Theorems on Open Set 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Adherent Point, Limit Point 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Closed Set and Closed Sphere 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Closed Set and theorems 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Subspace and theorems 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Theorems on Subspace 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Closure of a Set 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Properties of Closure of a Set 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Proofs Properties of Closure of a Set 

B.Sc.  Mathematics  III  V 
XII 
I 
Matric 
Interior, Exterior Frontier and Boundary Points 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Play list of Unit 
https://www.youtube.com/playlist? 
B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Convergence and Cauchy Sequence 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Cauchy Sequence 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Complete Metric Space 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Examples on Complete Metric Space 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Examples on Complete Metric Space 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Subspace of Complete Metric Space 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Cantor's Intersection Theorem 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Dense set, First and Second Category Sets 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Baire's Category Theorem 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Continuity and Uniform Continuity 

B.Sc.  Mathematics  III  V 
XII 
II 
Convergence and Completeness 
Theorems on Continuity 

B.Sc.  Mathematics  III  V 
XII 
III 
Compactness 
Theorems and Examples on Compactness 
https://www.youtube.com/playlist? 
Developed By: Dr. S. S. Bellale, Vice Principal & Head, Department of Mathematics, Dayanand Science College, Latur  
Program  Subject  Year  Semester  Paper  Unit  Unit Name  Content  YouTube Kinks 
B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Forces Acting on a Particle 
https://www.youtube.com/playlist? 
B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Definitions, law of parallelogram, resultant vector 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Magnitude and Direction of Resultant 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Theorem on Magnitude and Direction of Resultant 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Examples on Resultant of Two Forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Magnitude and Direction of Resultant 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Problems on Resultant of two forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Components of Resolved forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Algebraic Sum of Resolved Parts 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Magnitude and Direction of Resultant of n Forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Examples Resolved parts 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Examples on Resolved Parts 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Examples on Resolved Parts 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Examples on Resolved Parts 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Resultant of Parallel Forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Resultant of Parallel Forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Algebraic Sum of Resolved Part 

B.Sc.  Mathematics  III  V 
XIV(B) 
I 
Forces Acting 
Examples on Resultant of Parallel Forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
II 
Equilibrium of 
Equilibrium of Forces 
https://www.youtube.com/playlist? 
B.Sc.  Mathematics  III  V 
XIV(B) 
II 
Equilibrium of 
Triangle Law of Forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
II 
Equilibrium of 
Converse of Triangle Law of Forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
II 
Equilibrium of 
Polygon of a Forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
II 
Equilibrium of 
Lami's Theorem 

B.Sc.  Mathematics  III  V 
XIV(B) 
II 
Equilibrium of 
Condition of Equilibrium 

B.Sc.  Mathematics  III  V 
XIV(B) 
II 
Equilibrium of 
Examples on Equilibrium of Forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
II 
Equilibrium of 
Examples on Equilibrium of forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
Forces Acting on a Rigid Body 
https://www.youtube.com/playlist? 
B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
Forces Acting on a Rigid Body 

B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
The Sum of Vector Moments 

B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
Examples on Forces Acting on Rigid Body 

B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
Examples on Vector Moment 

B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
Vector Moments of Parallel Forces 

B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
Couples 

B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
Moment of the Couple 

B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
Two Couples acting on a Rigid body 

B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
Vector Moment of the Resultant Couples 

B.Sc.  Mathematics  III  V 
XIV(B) 
III 
Forces Acting 
Vector Moment of the Resultant Couples 

B.Sc.  Mathematics  III  VI 
PXVII (B) 
I 
Dynamics of a Particle 
Dynamics of a Particle 
https://www.youtube.com/playlist? 