KEC Faculty Profile

Journals Published (International)

1.   A. Manimaran., Charles Robert Kenneth., V. Rajadurai., R. Sabitha., A. K., “Graph Theory Applications in Protein–Protein Interaction Networks”, International Journal of Applied Mathematics, Vol. 38, No. 10, pp. 385–409, 2025.

2.   A. Manimaran., Mithilesh Deo Pandey., V. Raja Durai., K., “Modeling Disease Spread Using Graph Theory: A Study of Epidemics”, International Journal of Applied Mathematics, Vol. 38, No. 09, pp. 895–912, 2025.

3.   A. Manimaran., K. Subba Narasimhudu., Deepak Umrao Sarwe., K., “Fractional-Order Models for Simulating Blood Flow in Arteries with Viscoelastic Walls”, International Journal of Applied Mathematics, Vol. 38, No. 05, pp. 1419–1444, 2025.

4.  A. Manimaran., Shilpi Singhal., K. P. Malarkodi., Rupa Rani Dewangan., et al., “Performance Evaluation of Fuzzy Inference System-Based Type-2 Diabetes Management System in Indian Population”, Journal of Rare Cardiovascular Diseases, Vol. 5, No. 53, pp. 314–319, 2025.

5.    A. Manimaran., T. Arumugam., S. Kinattinkara., K. Vellingiri., J. Rajamani., et al., “Assessment of Agricultural Soil Quality in Macro and Micronutrient Analysis of Kasargod, Kerala, India, Using GIS Techniques”, Journal of Hazardous Materials Advances, Vol. 19, pp. 100846, 2025.

6.   A. Manimaran., K. Suvalakshmi., B. Bizu., S. Pratosh., M. Pooja., L. Ponranjith, “The Amphibian and Reptiles Classification from Camera Trap Images Using Deep Learning”, International Conference on Computational Intelligence in Data Science, pp. 180-195, 2025.

7.  A. Manimaran., N. P. Saravanan., A. Kanisha., S. Karthickrajan, “Cardiovascular Disease Prediction Using Machine Learning”, 3rd International Conference on Futuristic Technology (INCOFT), pp. 877–886, 2025.

8.   A. Manimaran., N. Alzaben., M. Maashi., A. M. Nouri., N. Kathiresan., et al., “Artificial Neural Network to Predict the Compressive Strength of High Strength Self-Compacting Concrete Made of Marble Dust”, Matéria (Rio de Janeiro), Vol. 29, No. 3, e20240329, 2024.

9.  A. Manimaran., R. Thamilselvan., P. Natesan., S. E. Naveenkumar., et al., “Designing a Llama-2 Powered Chatbot for Enhanced College Website Support”, 15th International Conference on Computing, Communication and Networking Technologies, 2024.

10.  A. Manimaran., M. K. Patley., A. Tiwari., K. Kumar., T. Arumugam., S. Kinattinkara., “Study of Mountain Ecosystem Accounting in Lower Himalaya Range in Uttarakhand, India Using Geospatial Technology”, Results in Engineering, Vol. 21, pp. 101811, 2024.

11.  A. Manimaran., B. Brij Sharma., M. A., M. Govind., T. T. Gohain., A. C. King., S. Rani, “Future Research on Internet of Things (IoT) and Its Applications”, Journal of Data Acquisition and Processing, Vol. 38, No. 4, pp. 804– 815, 2023.

12.  A. Manimaran., K. A. Prakash, “Intuitionistic Fuzzy Weakly Contra Open Mappings in Intuitionistic Fuzzy Topological Spaces”, Asian Journal of Research in Social Sciences and Humanities, Vol. 6, No. 5, pp. 695–704, 2016.

13.  A. Manimaran., K. A. Prakash, “Intuitionistic Fuzzy Contra Open Mappings in Intuitionistic Fuzzy Topological Space”, International Journal of Engineering and Technical Research, Vol. 2, No. 4, pp. 160–164, 2014.

14.  A. Manimaran., K. Arun Prakash., P. Thangaraj, “Intuitionistic Fuzzy Almost Open Mappings in Intuitionistic Fuzzy Topological Spaces”, International Journal of Mathematical Archive, Vol. 3, No. 2, pp. 373–379, 2012.

15.  A. Manimaran.,K. A. Prakash., P. Thangaraj, “Properties of Intuitionistic Fuzzy Boundary in Intuitionistic Fuzzy Topological Spaces”, International Journal of Mathematics and Mathematical Sciences, Vol. 8, pp. 39–47, 2012.

16.  A. Manimaran., P. Thangaraj., K. A. Prakash, “Properties of Intuitionistic Fuzzy Semiboundary”, Applied Mathematical Sciences, Vol. 6, No. 39, pp. 1901–1912, 2012.

17.  A. Manimaran., P. Thangaraj, “Intuitionistic Fuzzy Irresolute Regular Continuous Mappings in Intuitionistic Fuzzy Topological Spaces”, European Journal of Scientific Research, Vol. 66, No. 2, pp. 255–261, 2011.

18.  A. Manimaran., K. A. Prakash., P. Thangaraj, “Intuitionistic Fuzzy Totally Continuous and Totally 

Semi-Continuous Mappings in Intuitionistic Fuzzy Topological Spaces”, International Journal of Advanced Scientific and Technical Research, Vol. 2, No. 1, 2011.

Subjects Handled

• Engineering Mathematics - I [Matrices and Ordinary Differential Equations]

• Engineering Mathematics III

• Numerical Methods

• Statistics and Numerical Methods

• Probability and Random Process

• Probability and Queuing Theory

• Statistics and Numerical Methods

• Discrete Mathematics

• Operations Research

• Applied Mathematics for Electrical Engineers

• Graph Theory and Its Applications

• Numerical Methods for Engineers

                        1. 18MAC31 MATHEMATICS III

• FOURIER SERIES

• PARTIAL DIFFERENTIAL EQUATIONS

• APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS

• FOURIER TRANSFORMS

• Z-TRANSFORMS

                         2. 18MAT31 DISCRETE MATHEMATICS & 20MAT34 DISCRETE MATHEMATICAL STRUCTURES

• PROPOSITIONAL CALCULUS

• PREDICATE CALCULUS

• SET THEORY

• FUNCTIONS

• GROUP THEORY & CODING THEORY

                          3. 20MAC11 MATRICES & DIFFERENTIAL EQUATIONS

• MATRICES

• ORDINARY DIFFERENTIAL EQUATIONS OF FIRST ORDER

• ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDER

• APPLICATIONS OF ORDINARY DIFFERENTIAL EQUATIONS

• LAPLACE TRANSFORMS

                          4. 20MAC21 MULTIVARIABLE CALCULUS AND COMPLEX ANALYSIS

• FUNCTIONS OF SEVERAL VARIABLES

• MULTIPLE INTEGRALS

• VECTOR CALCULUS 

• ANALYTIC FUNCTIONS

• COMPLEX INTEGRATION

                          5. 18MAC42 STATISTICS & NUMERICAL METHODS

• TESTING OF HYPOTHESIS (Z & T-TEST)

• SOLUTIONS TO ALGEBRAIC & TRASENDENTAL EQUATIONS

• INTERPOLATION

• NUMERICAL DIFFERENTIATION & INTEGRATION

• NUMERICAL SOLUTIONS OF FIRST ORDER ODE

            6. 20MAC41 STATISTICS & NUMERICAL METHODS 

• BASICS OF HYPOTHESIS TESTS AND LARGE SAMPLE TESTS 

• UNEQUAL INTERPOLATION 

• APPLICATIONS OF INTERPOLATION

• INTRODUCTION TO NUMERICAL DIFFERENTIATION & NUMERICAL INTEGRATION

• FIRST ORDER ODE [NUMERICAL SOLUTION]

                 7. 24MAC11 MATRICES & ORDINARY DIFFERENTIAL EQUATIONS

• INTRODUCTION TO MATRICES AND ITS PROPERTIES

• FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS 

• HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS

• APPLICATIONS OF ODE

• APPLICATIONS OF LAPLACE TRANSFORMS

           8. 20MAO02 GRAPH THEORY AND ITS APPLICATIONS

• ADJACENCY MATRICES & INCIDENCE MATRICES AND ITS PROPERTIES 

• BASIC DEFINITIONS OF GRAPH THEORY 

• HAMILTANION PATH_GRAPHS_CHROMATIC NUMBER & GRAPHS 

• CHROMATIC POLYNOMIAL 

• KRUSHKAL ALGORITHM_MINIMAL SPANNING TREE  

    9. 24MAC11 MATRICES & DIFFERENTIAL EQUATIONS

• §    MATRICES

• §    ORDINARY DIFFERENTIAL EQUATIONS OF FIRST ORDER

• §    ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDER

• §    APPLICATIONS OF ORDINARY DIFFERENTIAL EQUATIONS

• §    LAPLACE TRANSFORMS

• § MATRICES-QUESTION BANK

10. 22MAO09-OptimizationTechniques (open elective –E&I, CHEMICAL, IT)

• §    GAME THEORY

• §    TESTING OF HYPOTHESIS (Z & T-TEST)

• §    SOLUTIONS TO ALGEBRAIC & TRASENDENTAL EQUATIONS

• §    INTERPOLATION

• §    NUMERICAL DIFFERENTIATION & INTEGRATION

• §    NUMERICAL SOLUTIONS OF FIRST ORDER ODE

   11. 24MAC23 – PROBABIITY AND STATISTICS

• §   RANDOM VARIABLES

• §   ADJACENCY MATRICES & INCIDENCE MATRICES AND ITS  

•      PROPERTIES 

• §   BASIC DEFINITIONS OF GRAPH THEORY 

• §   HAMILTANION PATH_GRAPHS_CHROMATIC NUMBER &  GRAPHS 

• §   CHROMATIC POLYNOMIAL 

• §   KRUSHKAL ALGORITHM_MINIMAL SPANNING TREE  

12. 22MAO09-Optimization Techniques (open elective- AIDS&AIML)

• §    OPERATIONS RESEARCH MATERIALS

• §    TESTING OF HYPOTHESIS (Z & T-TEST)

• §    SOLUTIONS TO ALGEBRAIC & TRASENDENTAL EQUATIONS

• §    INTERPOLATION

• §    NUMERICAL DIFFERENTIATION & INTEGRATION

• §    NUMERICAL SOLUTIONS OF FIRST ORDER ODE