Math-II
Here is the list of all the Solution:
UNITS -I(Hand-Written)
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Sets, Subsets, Equal Sets Universal Sets
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Finite and Infinite
Sets
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Operation on Sets, Union
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Intersection and Complements of Sets
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Cartesian Product
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The cardinality of Set, Simple Applications
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UNITS -II(Hand-Written)
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Properties of Relations, Equivalence Relation
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Partial Order Relation Function
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Domain and Range
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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, Maximal, and Minimal Point
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Glb, lub, Lattices & Algebraic Systems
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Principle of Duality,
Basic Properties
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Sublattices, Distributed &
Complemented Lattics
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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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Coordinates in Space
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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, 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 -VI(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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