TRB UG MATHEMATICS-BT/BRTE- ALGEBRA & TRIGONOMETRY- BEO-PREVIOUS YEAR QUESTIONS (2009) EXPLANATION..

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🔷 UNIT–I ALGEBRA & TRIGONOMETRY

#Algebra
#PolynomialEquations
#DescartesRuleOfSigns
#HornersMethod
#CardansMethod
#SymmetricFunctions
#EigenValues
#EigenVectors
#CayleyHamiltonTheorem
#Diagonalization
#UnitaryMatrices
#HermitianMatrices
#TrigonometricSeries
#HyperbolicFunctions
#ComplexLogarithm
#BinomialSeries
#ExponentialSeries


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🔷 UNIT–II CALCULUS & ANALYTICAL GEOMETRY

#DifferentialCalculus
#IntegralCalculus
#NthDerivatives
#LeibnitzTheorem
#PartialDifferentiation
#MaximaAndMinima
#LagrangeMultiplier
#RadiusOfCurvature
#Evolutes
#Envelopes
#Asymptotes
#DoubleIntegrals
#TripleIntegrals
#BetaFunction
#GammaFunction
#PolarCoordinates


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🔷 UNIT–III DIFFERENTIAL EQUATIONS & LAPLACE

#DifferentialEquations
#ODE
#PDE
#ExactEquations
#IntegratingFactor
#VariationOfParameters
#LaplaceTransform
#InverseLaplaceTransform
#ConvolutionTheorem
#DiracDeltaFunction
#InitialValueTheorem
#FinalValueTheorem


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🔷 UNIT–IV VECTOR CALCULUS & FOURIER

#VectorCalculus
#Gradient
#Divergence
#Curl
#GaussTheorem
#StokesTheorem
#GreenTheorem
#FourierSeries
#FourierTransform
#SineCosineSeries
#ParsevalIdentity
#HarmonicFunctions


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🔷 UNIT–V ALGEBRAIC STRUCTURES

#GroupTheory
#Subgroups
#CyclicGroups
#LagrangesTheorem
#NormalSubgroups
#QuotientGroups
#Homomorphism
#RingsAndFields
#IdealTheory
#VectorSpaces
#InnerProductSpaces
#LinearTransformation


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🔷 UNIT–VI REAL ANALYSIS

#RealAnalysis
#CountableSets
#UncountableSets
#SequencesAndSeries
#CauchySequence
#BolzanoWeierstrassTheorem
#Continuity
#UniformContinuity
#MeanValueTheorem
#TaylorSeries
#RiemannIntegration
#MetricSpaces


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🔷 UNIT–VII COMPLEX ANALYSIS

#ComplexAnalysis
#AnalyticFunctions
#CR_Equations
#ConformalMapping
#MobiusTransformation
#ContourIntegration
#CauchyIntegralTheorem
#LaurentSeries
#ResidueTheorem
#RouchesTheorem


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🔷 UNIT–VIII MECHANICS

#EngineeringMechanics
#Statics
#Dynamics
#NewtonLaws
#WorkEnergyPower
#SimpleHarmonicMotion
#ProjectileMotion
#CircularMotion
#MomentOfInertia
#ImpactAndCollision


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🔷 UNIT–IX OPERATIONS RESEARCH

#OperationsResearch
#LinearProgramming
#SimplexMethod
#Duality
#TransportationProblem
#AssignmentProblem
#QueuingTheory
#PERT
#CPM
#InventoryModels
#GameTheory
#IntegerProgramming


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🔷 UNIT–X STATISTICS & PROBABILITY

#Statistics
#Probability
#RandomVariables
#ProbabilityDistributions
#BinomialDistribution
#PoissonDistribution
#NormalDistribution
#RegressionAnalysis
#Correlation
#HypothesisTesting
#ZTest
#TTest
#ChiSquareTest