Mathematics -I
Here is the list of all the Solution:
UNITS -I(Hand-Written)
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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)
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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)
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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)
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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)
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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)
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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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