KEC Faculty Profile

Journals Published (International) 

1..K.Radhika, K.Arun Prakash, Yamuna,"A new ranking approach for ordering of single valued triangular neutrosophic numbers", Gedrag  &     Organisatie Review,Vol.33,No.2,pp.1427-1432, 2020.

2.K.Arun Prakash,K.Radhika,M.Suresh, S.Vengataasalam, "Ratio ranking method of Triangular Single valued Neutrosophic numbers", Gedrag  & Organisatie  Review, Vol.33,No.2,pp.1368-1382, 2020.

3.K.Radhika and K.Arun Prakash, "Ranking of Pentagonal Neutrosophic Numbers and its Applications to solve Assignment Problem", Neutrosophic Sets and Systems, Vol. 35, 464-477, 2020.

4. Radhika, K & Arun Prakash, K, 2022, ‘Multi-objective optimization for multi-type transportation problem in intuitionistic fuzzy environment’. Journal of Intelligent & Fuzzy Systems, vol. 43, no. 1, pp. 1439-1452 , DOI: 10.3233/JIFS-213517, Impact Factor:  1.739

5.Radhika, K., Verma, S., Sathya, R., Kathirvel, T., Vishnu, K. H., & Rajan, N. M. (2024, October). AI Powered Crypt-Analysis for Identification of Encryption Algorithm. In 2024 4th International Conference on Sustainable Expert Systems (ICSES) (pp. 1880-1884). IEEE

6.Biju, J., R. Jeevitha, Titus Richard, Rini Chowdhury, Prashant Kumar, and K. Radhika. "Evaluating Generative Adversarial Networks Performance in Image Synthesis with Graphical Analysis of Loss Functions and Quality Metrics." In 2024 International Conference on Integrated Intelligence and Communication Systems (ICIICS), pp. 1-8. IEEE, 2024. 

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 Statistics

7. Matrices and Differential Equations

8. Multivariable calculus and complex analysis

9. Probability Transforms And Partial Differential Equations

10. Probability And Partial Differential Equations

11. DATA ANALYTICS USING R PROGRAMMING 

 Mathematics- III

11. 1. Fourier series

• Fourier series full range

• Even and odd function

• Wave equation

• One dimensional heat equation

• Two dimensional heat equation

• Fourier transform

• Inverse Z-transform

• Applications of Z-transform

•  Mathematics-II

• Double integrals

• Maximum and Minimum of functions of two variables

• Lagrange's multiplier method

• Analytic functions

• conformal mapping

24MAC11-Matrices and Ordinary  Differential Equations

• Eigen values and Eigen vectors

• Solution of ODE using Method of variation parameters

• solution of higher order ODE with constant coefficient

• Laplace transform

• Applications of Laplace Transform

20MAT42-Probability and Statistics

• Random Variables 

• Testing of hypothesis

• t-test

• t-test for single mean

• chi-square test

• One way classification 

20MAT41 -Statistics and Numerical Methods

• Design of experiment -Introduction

• one way classification

• two way classification

• Regula Falsi method 

• Newton Raphson Method 

20MAT32-Probability Transforms And Partial Differential Equations

• Fourier Series -0,2pi interval 

• Half Range sine and Cosine Series 

• Z-Transforms 

• Fourier series (-pi,pi) 

20MAT31 Probability And Partial Differential Equations

• Parabolic  Equations

• Elliptic Equations  

• Hyperbolic Equations 

22MAC21 -Multivariable calculus and complex analysis 

• Multiple Integrals 

• Multiplier Method 

• Functions of  complex variables 

20MAC33-Linear Algebra and Transforms

Fourier series 

Harmonic Analysis 

Fourier Transforms 

22MAC22 - MULTIVARIABLE CALCULUS AND PARTIAL DIFFERENTIAL EQUATIONS 

ONE DIMENSIONAL HEAT EQUATION 

WAVE EQUATION SOLUTION 

TWO DIMENSIONAL HEAT EQUATION 

Double integrals 

Conformal mapping 

22MAC24-PROBABILITY THEORY AND INFERENTIAL STATISTICS

Student -t test 

DESIGN OF EXPERIMENT 

Two way classification 

One way classification 

22MAT33- Discrete Mathematics and Linear Algebra 

Truth tables and tautologies 

laws of algebra 

PCNF,PDNF 

Inference theory 

 22MAT43-: Discrete Mathematics

 Propositional calculus 

Predicate calculus 

Validity of arguments 

Group theory 

coding theory 

22MAXO1-Data Analytics Using R Programming

Arrays, lists and dataframe  

Distributions and testing of hypothesis 

Conditional and looping statements 

MANUAL FOR 22MNT12-QUANTITATIVE APPTITUDE – II  

Averages, Alligations, Time and Work, Permutation and Combination,  Probability 

22MAX01-Data Analytics' using R  Programming

Lab Manual