Programming Pdf 173205 | Math Revised Code

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              1       M101                 MATHEMATICS                      M101
              2       M201                 MATHEMATICS                      M201
              3       M301                 MATHEMATICS                      M301
              4       M302                 MATHEMATICS                      M302
              5       M303          MATHEMATICS(MECHANICAL&               M303
                                              PRODUCTION)
              6       M315                MATHEMATICS–III                 M315
              7       M401                 MATHEMATICS                      M401
              8      MM101       DISCRETEMATHEMATICALSTRUCTURE         M(MCA)101
              9      MM301       STATISTICS&NUMERICALTECHNIQUES       M(MCA)301
              10     MM391       STATISTICS&NUMERICALANALYSISLAB     M(MCA)391
                                              (PRACTICAL)
              11      CS312      NUMERICALMETHODS&PROGRAMMING          M(CS)312
              12      CS382    NUMERICALMETHODS&PROGRAMMINGLAB        M(CS)382
                                              (PRACTICAL)
              13      CS402      OPERATIONRESEARCH&OPTIMIZATION        M(CS)402
                                              TECHNIQUES
              14      CS511      OPERATIONRESEARCH&OPTIMIZATION        M(CS)511
                                              TECHNIQUES
              15      CS581      OPERATIONRESEARCHLAB(PRACTICAL)        M(CS)581
              16      CE301         CIVILENGINEERING%IIISEMESTER        M(CE)301
                                             MATHEMATICS
              17     MB105            QUANTITATIVEMETHODS%1             M(MBA)105
              18     MB203             QUANTITATIVEMETHODS              M(MBA)203
              19     MB205              OPERATIONSRESEARCH              M(MBA)205
              20    M(CT)301            APPLIEDMATHEMATICS               M(CT)301
              21    CS(CT)401  COMPUTERSCIENCE&OPERATIONRESEARCH    M[CS(CT)]401
            
            
            
                                                  1
                                                                                              
                                                                                        
                                                                             
                     
                     Code:M101
                     Contacts:3L+IT=4
                     Credits:4
                     
                     
                     
                     Sequence,convergence&divergenceofinfiniteseries–andtypical                                                            1L
                     examplesofconvergentanddivergentseries.
                     
                     Comparisontest(statementonly)andrelatedproblems                                                                           1L
                     Ratiotest(statementonly)&relatedproblems                                                                                  1L
                     Cauchy’sroottest(statementonly)&relatedproblems                                                                         1L
                     AlternatingseriesLeibnitz’stheorem(withoutproof),absoluteconvergence                                                   2L
                     &relatedproblems
                     
                      !
                     Reviewoflimit&continuityanddifferentiability                                                                              1L
                     
                     Successivedifferentiation,Leibnitz’stheorem[withoutproofbutwithproblems                                                3L
                     ofthetypeofrecurrencerelationsinderivativesofdifferentorders&alsotofind
                     (y )o]:   
                     
                     Rolle’stheorem(statementonly);Meanvaluetheorems%Lagrange&Cauchy                                                        6L
                     (statementonly),Taylor’stheorem(withoutproofandproblemsinrespectof
                     directuseandapplicationsofthetheoremonly),expansionsoffunctionsby
                     Taylor&Maclaurinseries.Maclaurin’sseriesexpansionininfiniteseriesofthe
                     functionslog(1+x), ,sinx,cosx,(a+x),nbeinganegativeintegerorafraction
                     L’Hospital’sRule(statementonly)andrelatedproblems.
                     
                     Integrationof                                                                                                                 2L
                      π / 2             π/2              π/2                      π/2
                       ∫   cos χdχ, ∫ sin  χdχ, ∫ cos  χsin  χdχ, ∫cosmχsinnχdχ,m,narepositiveintegers
                       0                 0               0                         0
                     
                     Application:
                     Rectification                                                                                                                  1L
                     
                                                              "#
#$%&
                                                                                       2
                                                                                   
                   Directioncosine,directionratio;Equationofaplane(generalform,normalform&4Linterceptform);Equationof
                                                  astraightlinepassingthroughonepoint&twopoints;
                   Pairofintersectingplanesrepresentingastraightline.
                   
                   Elementaryideasofsurfaceslikesphere,rightcircularconeandrightcircularcylinder
                   (throughgeometricalconfiguration)andequationinstandardforms.
                   
                     !
                   
                   Introductionoffunctionofseveralvariables&examples                                                      2L
                   Knowledgeoflimit&continuity
                   
                   Partialderivative&relatedproblemsHomogeneousfunctions&Euler’stheorem
                   (statementonly)&problemsupto3variables.                                                                 3L
                   
                   Chainrulesandrelatedproblems.
                   Differentiationofimplicitfunctions&relatedproblems.                                                      4L
                   Totaldifferentials&relatedproblems                                                                          
                   
                   Maxima,minimaandsaddlepoints–definition,conditionofextremaandproblems                              2L
                   fortwovariables.Lagrange’smultipliermethod–problemsrelatedtotwovariables
                   only.
                   
                   Lineintegral,doubleintegral,tripleintegral–discussionw.r.t.differenttypesoflimits                 3L
                   &problems;momentofinertia,centreofgravity.
                   
                   Jacobian–definition&relatedproblemsfortwovariables.                                                   2L
                   Applicationtoareas&volumes,surfaceareaofrevolution.
                   
                   
                   
                   Scalarandvectorfields–definitionandterminologies;products:dot,cross,box,                           2L
                   vectortripleproduct.
                   
                   Gradient,directionalderivative,divergence,curl(withproblems).                                           2L
                   
                   Tangentplanesandnormalsandrelatedproblems.                                                               1L
                   
                   Statementsof
                   Green’stheorem,divergencetheorem,Stokes’theoremwithapplications.                                        4L
                                                                                                                                     
                                                                                                                           '()
                   
                   
                   
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                                                                                                 4

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...M mathematics mechanical production iii mm discrete mathematical structure mca statistics numerical techniques analysis lab practical cs methods programming operation research optimization ce civil engineering semester mb quantitative mba operations ct applied computer science code contacts l it credits sequence convergence divergence of infinite series and typical examples convergent divergent comparison test statement only related problems ratio cauchy s root alternating leibnitz theorem without proof absolute review limit continuity differentiability successive differentiation rolle mean value theorems lagrange taylor in respect direct use applications the expansions functions by maclaurin expansion log x sinx cosx a n being negative integer or fraction hospital rule integration cos d sin are positive integers application rectification direction cosine equation plane general form normal intercept straight line passing through one point two points pair intersecting planes representin...

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