गुरुवार, 5 मार्च 2020

MATH-I (BCA-I)


CSJM (BCA-I)



Mathematics -I

Here is the list of all the Solution:

UNITS -I(Hand-Written)

SETS
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Subsets      
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Equal Sets Universal Sets      
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Finite and Infinite Sets        
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Operation on Sets
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Union, Intersection, and Complements of Sets                                 
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Cartesian Product      
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Cardinality of Set       
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 Simple Applications      
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UNITS -II(Hand-Written)

RELATIONS AND FUNCTIONS
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Properties of Relations    
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Equivalence Relation
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Partial Order Relation Function       
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Domain and Range, Onto, Into and One to One Functions        
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Composite and Inverse Functions      
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Introduction of Trigonometric     
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 Logarithmic and Exponential Functions       
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UNITS -III(Hand-Written)

PARTIAL ORDER RELATIONS AND LATTICES
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  Partial Order Sets  
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Representation of POSETS using Hasse diagram                               
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Chains       
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Maximal and Minimal Point
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Glb, lub, Lattices      
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Algebraic Systems     
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 Principle of Duality       
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Basic Properties        
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Sublattices      
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Distributed & Complemented Lattices  
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UNITS -IV(Hand-Written)

FUNCTIONS OF SEVERAL VARIABLES                                                    
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Partial Differentiation
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Change of Variables,
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Chain Rule
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Extrema of Functions of 2 Variables
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Euler’s Theorem
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UNITS -V(Hand-Written)

3D COORDINATE GEOMETRY                                                                
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Partial Differentiation
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Direction Cosines
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Angle Between Two Lines
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Projection of Join of Two Points on a Plane
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Equations of Plane
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Straight Lines,
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Conditions for a line to lie on a plane
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Conditions for Two Lines to be Coplanar
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  Shortest Distance Between Two Lines     
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   Equations of Sphere,    
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Tangent plane at a point on the sphere       
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UNITS -IV(Hand-Written)

MULTIPLE INTEGRATION
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Double Integral in Cartesian and Polar Coordinates to find Area
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Change of Order of Integration
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Triple Integral to Find Volume of Simple Shapes in Cartesian Coordinates.
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