KEC Faculty Profile

Journals Published (International)

                 1." K.V.Udayanatchi, M.Kannan & K.V.Tamil Selvi", "Even vertex square difference labelling Graphs",        Int. J. Bio Science  Biotechnology   Research communications,Vol.13, No.6 pp.344-348, 2020. 

                 2.  R.Ashok kumar, M.Suresh, B.Sharmila, Hitesh Panchal, C.Gokul, K.V.Udayanatchi, Kishore kumar sadasivuni &Mohammad   Israr,  "International  Journal of Ambient Energy",2021.

               3.  K.V. Tamil Selvi, R. Senthamarai , K.V. Udayanatchi, S. Anitha, ‘’Mathematical Modeling in Electrochemica  Reactions of Homogeneous   Catalysis “Split   Waves” on the Rotating Disc Electrode’’, Annals of the Romanian  Society   for Cell Biology, Volume.25 issue .6(2021):pages:295-  304.

                4. " K.V.Udayanatchi,G.Thamizhendhi & K.V.Tamil Selvi","Effective coloring in single valued Neutrosophic graphs" ,Journal of    Algebraic Statistics,volume 13,No.2,2022,pp.95-109.                                                                                                                   

Paper Presented in International Conferences

                1." K.V.Udayanatchi, M.Kannan & K.V.Tamil Selvi", "Some Results on Even Vertex Square difference  Labeling Graphs"  International WebConference on Signed Graphs & Allied Areas(ICSGAA-2020),Central   University of Kerala,Tejaswini  Hills,,Periye(P O),Kasaragod-  671316,Kerala,India.

Paper Presented in International Conferences

                                        1.K.V.Udayanatchi,"Decomposition of continuity via fuzzy g^*-closed sets"National conference on Emerging trends                                   in rough sets, fuzzy sets,  Data mining and Granular soft computing, Kongu Engineering college,Perundurai,Erode-638060. 

 Funded Programmes Organized (Seminar/Conference/Workshop/FDP/STTP/Others) 

Faculty Development Program attended

1.Five days Online Faculty Development Programme on "Hands-on Training in Latex" from 28.09.2020 to 02.10.2020 Organized by Kongu Engineering College,Erode.

2.One Week International Faculty Development Programme on "Emerging Trends & Technologies in Data Science from 24.08.2020 to 29.08.2020 Organized by Department of Computer Science & Engineering, GMR Institute of Technology, Rajam, Andhra Pradesh.

3.Four days Online Faculty Development Programme on Recent Research Directions in Mathematics organized by Department of Mathematics, Kongu Engineering

College, Perundurai, Erode held during 09.06.2020 to 12.06.2020.

4.Three  days Online Faculty Development Programme on "Descriptive Statistics through R-Programming" organized by Department of Mathematics, KPR Institute of Engineering and Technology held during 06.05.2020 to 28.05.2020.

5.Two days Online Faculty Development Programme on " Algebra and Number Theory" Organized by Ramco Institute of Technology from 26.05.2020 to 27.05.2020.

6.Online Faculty Development Programme on Fuzzy Sets and Systems Organized by Partician college of Arts and science,Chennai,held on 16.05.2020.

NPTEL COURSE COMPLETED

Numerical Methods: Engineering Mathematics II

Subjects Handled

1.Engineering Mathematics I

2.Engineering Mathematics II

3.Engineering Mathematics III

4.Numerical Methods

5.Statistics and Numerical Methods

6.Probability and Linear Programming

7.Applied Mathematics for Electrical Engineers

8.Numerical Methods and Linear Programming

9.Probability and statistics

E-CONTENT

(ONLINE MATERIALS):

20MAC11- MATRICES  AND  DIFFERENTIAL EQUATIONS

•  variation of parameter 

• Ordinary differential equation 

• verification problems on cayley hamilton 

• Differential equation with variable coefficient 

• EXACT DIFFERENTIAL EQUATIONS  

20MAC21- MULTIVARIABLE CALCULUS AND COMPLEX ANALYSIS 

• Verification of GD theorem 

• Cauchy residue theorem & problems 

• Area as double integrals 

• MULTIPLE INTEGRALS 

• RESIDUES THOREM 

• GAUSS DIVERGENCE THEOREM 

• CONTOUR INTEGRATION 

• BILINEAR TRANSFORMATION 

20MAT34 - DISCRETE MATHEMATICAL STRUCTURES 

• Classification of functions 

• Logic & Prepositions 

• PCNF & PDNF 

• NORMAL FORMS 

• SET THEORY 

• PROPOSITIONAL CALCULUS 

• LOGICAL EQUIVALENCE AND IMPLICATIONS 

• PREDICATE CALCULUS 

• CODING THEORY AND GROUP THEORY 

• FUNCTIONS 

20MAT42-PROBABILITY AND STATISTICS

• Large sample test 

• Probability and random variables 

• Student t test ,F test and chi square test 

• RANDOM VARIABLES 

• SMALL SAMPLE 

• Z- TEST AND F- TEST 

• TESTING OF HYPOTHESIS 

20MAT31 – PROBABILITY AND PARTIAL DIFFERENTIAL EQUATIONS

• Sine & cosine transforms problems 

• Equation of vibrating string 

• Harmonic series in fourier series 

• FOURIER SERIES 

• FOURIER COSINE AND SINE TRANSFORMS 

• ONE DIMENSIONAL WAVE EQUATION 

• PARTIAL DIFFERENTIAL EQUATIONS 

• PARTIAL FRACTION AND RESIDUE METHOD 

20MAT41 – STATISTICS AND NUMERICAL METHODS

• Simpson's rule of single integration 

• Fourth order RK method problems 

• Double integral Trapezoidal and simpson's problems 

• TESTING OF HYPOTHESIS 

• SIMPSON'S ONE THIRD RULE 

• RUNGE KUTTA METHOD 

• F TEST PROBLEMS 

• TRAPEZOIDAL AND SIMPSON'S RULE IN DOUBLE INTEGRALS 

 MATHEMATICS -I 

• Differential equation with variable and constant coefficient 

• Fitting of a curve problem 

• Interpolation 

• NEWTON FORWARD AND BACKWARD DIFFERENCE METHOD 

• GAUSS JORDAN METHOD 

• CURVE FITTING PROBLEM 

• BISECTION METHOD 

• EULER HOMOGENEOUS LINESAR DIFFERENTIAL EQUATION 

MATHEMATICS -II

• Relation between mean ,median,mode 

• Measure of central tendency 

• P chart, C chart and R chart 

• CONTROL CHARTS 

• MEAN DEVIATION 

• RANGE AND QUARTILE DEVIATION 

• STANDARD DEVIATION 

• MEAN 

MATHEMATICS -III

• Classification of second order quasi linear PDE 

• Fourier integral theorem and parseval's idendity 

• Odd and even functions of a fourier series 

• FOURIER SERIES 

• APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 

• FOURIER TRANSFORMS