Coursecode:BMH1CC01
CourseName:Calculus,Geometry,anddifferentialequations
|
SL. No |
Outcomes |
|
CO1 |
Recalltheideaofderivative,integration, rulesof differentiation andunderstandthe conceptofformulatingdifferentialequations. |
|
CO2 |
Willbeabletosolvedifferentkindsofdifferentialequations. |
|
CO3 |
Demonstratethe abilitytovisualizevariousformsofstraightlines, planes, conic sections and enables them to apply these concepts inexplainingmathematicaltheories geometrically. |
|
CO4 |
Applytheconceptsofdifferentiation toestimatevelocity,acceleration, andintegrationlikemeasuringareaofasurface, volumeetc. |
|
CO5 |
Know hyperbolic functions and compare these functions with circularfunctions,trigonometric functions,inversetrigonometricfunctionsand learntheirproperties. |
Semester-II
Course code: BMH2CC03CourseName:RealAnalysis
|
SL.No. |
Courseoutcome |
|
CO1 |
Learn the basic concepts of countable sets, metric space,connectedness,compactnessofmetricspaces,whicharethe backboneof realanalysis. |
|
CO2 |
Understand the techniques and examples in analysis, which helpsthemtobewellprepared forcourseslikeTopology,Measuretheory andFunctional analysis. |
|
CO3 |
Usingtheconcept ofsequenceandseriesfind the sum ofinfinite termswithdifferent methods. |
|
CO4 |
Differentiatecontinuous functionsanduniformcontinuousfunctions |
|
CO5 |
Understanditerativenumericalmethodstofindthe rootsofan equation,whicharebasedon theconcept ofsequence. |
|
CO6 |
Explaintheapplicabilityofmathematicalmodels usingtheconcepts ofreal analysis |
Semester-III
Coursecode:BMH2CC07
CourseName:NumericalMethodsandnumericalmethodslab
|
SL.No. |
Courseoutcome |
|
CO1 |
Understandthenecessity ofusing numericalmethodsapply theseto solvevarious types ofproblems |
|
CO2 |
Findrootsoftranscendental andpolynomialequationsusing numericaltechniques |
|
CO3 |
Solvemathematicalmodelsusingappropriatenumericalmethodsandpursueresearchinthefield ofmathematics, engineering, computerscience. |
|
CO4 |
Constructspolynomialsemployingdifferentmethodsandunderstand numerical differentiation and integration which enables them toundertake furtherstudiesinMathematics, oritsalliedareas. |
|
CO5 |
Comparetherateofconvergenceofdifferentnumerical formula |
|
CO6 |
UnderstandCprogramminglanguageandcansolveproblemsusing C-programmingsoftware |
Semester-IV
Course code: BMH4SEC21CourseName:Graph theory
|
SL.No. |
Courseoutcome |
|
CO1 |
UnderstandtheconceptofGraphs,which isanimportanttoolfor MathematicalModelling |
|
CO2 |
Understanddifferenttypesofgraphs andoperationsongraphs |
|
CO3 |
Relatereallifeproblemsoreventswithmathematicalgraphs |
|
CO4 |
Understandtheconceptoftreesandalgorithmstofindspecial spanningtrees |
|
CO5 |
Understanddirectedgraphsanditsapplications |
Semester-V
Course code: BMH5DSE12CourseName:Numbertheory
|
SL.No. |
Courseoutcome |
|
CO1 |
Applymathematicalinduction andothertypesoftechniques to prove theoremsormathematicalresults. |
|
CO2 |
Applytheconceptsand resultsofdivisibilityofintegerseffectively |
|
CO3 |
Understandresearchproblemsrelatedtonumbertheory |
|
CO4 |
Learnvarioustheoremsonprimes, congruenceandresidueswhich areusedincryptography. |
|
CO5 |
SolveproblemsrelatedtoChineseremaindertheorem,Fermat’s Littletheorem |
Semester-VI
Course code: BMH6PW01CourseName:Project
|
SL.No. |
Courseoutcome |
|
CO1 |
Chooseatopicoftheir owninterest |
|
CO2 |
Formulate,analyse,andinterpretmathematicalmodels |
|
CO3 |
Buildconfidenceand developcommunicationskills throughthe presentationoftheirprojectwork |
|
CO4 |
Getpreliminaryconcept ofresearchinmathematics |
|
CO5 |
Gainin-depthknowledgeindependentlyinthespecifictopic |
|
CO6 |
Understandthe corefindingsoftheirprojectandtheirapplicability inpractice |