KEC Faculty Profile

Journals Published (International)

1.  Nachammai, AL. and Thangaraj, P. “Solving fuzzy linear fractional programming problem by fuzzy variables”, International Journal of Advances in Pure and Applied Mathematics, Vol.1, No.4, pp. 40-47, 2011.   

2.  Nachammai, AL. and Thangaraj, P. “Solving fuzzy linear fractional programming problem with fuzzy decisive method”, International Journal of Applied Computational Science and Mathematics, Vol.2, pp.29-38, 2012.    

3. Nachammai, AL. and Thangaraj, P. “Solving intuitionistic fuzzy linear programming      problem by using similarity measures”, European Journal of Scientific Research, Vol.72, No.2, pp. 204-210, 2012.

4. Nachammai, AL. and Thangaraj, P. “New ranking of generalized intuitionistic fuzzy       number and its applications to IFLPP”, International Journal of Emerging Trends is Engineering and Development, Vol.5, No.2, pp. 700-713, 2012.

5. Nachammai, AL. and Thangaraj, P. “Solving fuzzy linear fractional programming problem by using metric distance ranking”, Applied Mathematical Sciences, Vol.6, No.26, pp.1275-1285, 2012.

6. Nachammai, AL. and Thangaraj, P. “Solving Intuitionistic Fuzzy Linear Programming by using Metric Distance Ranking”, Researcher, Vol.5, No.4, pp. 65-70, 2013.    

7. Nachammai, AL. and Thangaraj, P. " Ranking of Intuitionistic Fuzzy number by Radius of Gyration and its applications to Intuitionistic Fuzzy Linear Programming problems", Journal of Advanced Mathematics and Applications,Vol.3, No.2, pp. 176-181, 2014.

8. Nachammai, AL, Dhavamani.M and Usha.B, "Solving Intuitionistic Fuzzy Linear Programming by using Ratio Ranking Method", Asian Journal of Research in Social Sciences and Humanities, 2249-7315, 2016.

9. Dhavamani.M, Nachammai, AL and Usha.B, "Intuitionistic Contra R-Continuous Functions", Asian Journal of Research in Social Sciences and Humanities, 2249-7315, 2016.

10. Usha.B, Dhavamani.M and Nachammai, AL, "Solving Fuzzy Diffential Equations by Range-Kutta Method",  Asian Journal of Research in Social Sciences and Humanities, 2249-7315, 2016.

11. Nachammai, AL, "A Comparative study of the methods of Solving Intuitionistic Fuzzy Linear Programming", International Journal of Advanced Research, Ideas and Innovations in Technology, 2454-132X.

12. Nachammai, AL. and Usha.B, "On the centroids of Intuitionistic Fuzzy Number and its appliation to IFLP problems", Advances in Mathematics: Scientific Journal, Vol.8, issue.3, PP.830-838, 2019.

13. Usha.B, and Nachammai, AL, " Numerical solution for fuzzy differential equations", Advances in Mathematics: Scientific Journal, Vol.8, issue.3, PP.839-844, 2019.

14. Nachammai, AL, and Usha.B, "Digital Technologies and Collabrative Artificial Intelligence for Environment Eco system: Optimising Internet of Things adoption for HRM", Journal of New Zealand Herpetology, Vol 12, Issue 01, 2023.

Paper Presented in National Conferences

1. Nachammai, AL. and Thangaraj, P. “Solving Linear fractional Programming Problem by Fuzzy Numbers”,  Regional Administrative Conference in Secondary Mathematics and Sciences Education, Manila, Philippines, 5th and 6th March 2010.

Paper Presented in International Conferences

1.  Nachammai, AL. and Thangaraj, P. “Ranking of Intuitionistic Fuzzy numbers and its applications to IFLPP, CSIR sponsored National Conference on  Emerging Trends in Rough Sets, Fuzzy Sets, Data Mining and Granular-Soft Computing”, conducted by Kongu Engineering College, Perundurai, 3rd and 4th  August 2012.

NPTEL Coureses completed:

1. Completed 12 weeks course on "Operations Research" during Jan-April  2020.

2.  Completed 8 weeks course on  "Engineering Mathematics II" during Jan-April  2022.

3. Completed 8 weeks course on "Matrix Analysis with Applications" during Jul-Sep 2023.

Subjects Handled: 

1. Mathematics I

2. Mathematics II

            * Analytic Function, Construction of Analytic Function, Bilinear Transformation, Conformal Mapping

3. Mathematics III

           * Partial Differential equations : Type-1, type-2, type-3, Type-4, Type-5 (2.2) 

           * Classification of PDE, Wave Equation(Zero Velocity), Wave Equation (non zer velocity)

4. Applied Mathematics

            * UNIT 2: Calculus of Variations: Euler's Equation 2.1, Variation Problem involving several unknows 2.2, Higher Order  

                              Derivatives 2.3 , Isoperimetric Problems 2.4, RITZ Method 2.5

5. Matrices and Differential Equations 

          * UNIT 1: Eigen values and vectors, Properties of Eigen values and vectors

          * UNIT 2: Functions of several variables

          * UNIT 4: Applications of Differential Equations : Method of variation of Parameters, simultaneous Equations, 

                                    Applications Of  ODE: Simple Harmonic motion and Electic Circuit(4)

6. Probability Theory and Random Process

           * UNIT 1: Mean and Variance 

           * UNIT 3: Correlation amd Regression

           * UNIT 5: Linear Systems with Random Inputs:  Linear system Fundamentals (5.1) , Random Signal &system Response (5.2) 

                                  Random Noise (5.5)                              

7. Multi variable Calculus and Compllex Analysis

           * UNIT 2 - Double integral(2.1) -   Area (2.2) - Change the order of integration (2.3) , Triple integral & Volume (2.4)

8. Probability and Partial Differential Equations

             * UNIT 1: Introduction 

              * UNIT 3: Fourier Series Half Range

             * UNIT IV: Partial Differential Equations: Formation of PDE: 4.1  Lagrange's Linear Equation: 4.2 Higher Order:4.3 

9. Discrete Mathematics and  Linear Algebra: 

        UNIT V: Inner Product Space: Angle and Orthogonality in inner product spaces : Orthonormal Vectors: 

10.  Advanced Mathematics for Mechatronics Engineering: 

       UNIT IV: Finite Difference Method: 4.1  , Shooting Mthod: 4.3  ,Collacation Method: 4.4  

11. Matrices and Ordinary Differential Equations

• UNIT 2: Exact Differential Equation 2.1 , Linear DE 2.2 ; Bernoulli DE 2.3 

• UNIT 3: Ordinary Differential Equations 3.1,  3.2, 3.3, 3.4

12. Applied Mathematics for Electronics Engineers

• UNIT 1: Matrix Theory- 1.1 , 1.2, 1.3 

• UNIT 2: Vector Space : Rank Nullity

• UNIT 3:  Simplex Method 3.1, Two Phase Method 3.2 , TP 3.3, AP 3.4 

 Guest Lectures Delivered: