Dr. LIJU ALEX

General Information:

Designation : Assistant Professor

Mobile : 8547391898

Email : [email protected]

Address : Department of Mathematics, Bishop Chulaparambil Memorial College, Kottayam, Pin : 686004

Department : Mathematics

Area of Specialization : Graph Theory

ACADEMIC QUALIFICATION

  • Ph.D, Mahatma Gandhi University, Kottayam, Mathematics 2024
  • M.Phil, University of Kerala, Mathematics, 2014
  • M.Sc/M.A./M.Com, Mahatma Gandhi University, Kottayam, Mathematics, 2012
  • B.A./B.Sc./B.Com, Mahatma Gandhi University, Kottayam, Mathematics, 2010

TEACHING EXPERIENCE

Teaching Experience : 7 Years 5 Months

Member, Mahatma Gandhi University UG Mathematics Board of Studies
Member, Mahatma Gandhi University Vigilance Squad 2018-2019
Member, Mahatma Gandhi University Vigilance Squad 2021-2022

TEACHING METHODOLOGY

  • Outcome based teaching learning process usage of ICT enabled tools and Blooms
    Taxonomy.
  • Practical Based Learning: This academic year for the course Basic python programming
    and typesetting in LaTeX and for numerical methods and Python I have used a practical
    based learning, in which students have to do practicals or programs on each of the theory
    sessions they have learned and have to upload their own programs and outputs as
    assignments..
  • Tutorial Sessions: Students from each class is divided among different groups each
    consisting of 4 or 5 students and after the main class sessions, each group has to conduct
    their own class sessions to discuss the topics which was discussed in the class and one of
    the students from each group will lead the sessions and the faculty member will listen to
    their classes and clarify their doubts or ask them questions regarding the contents of the
    session.
  • Open book exam

INVOLVEMENT IN ACADEMIC ACTIVITIES

  • Internal Mark Generation Committee
  • Member, Criterion VII of NAAC Criteria
  • INTERNATIONAL CONFERENCE ON GRAPH CONNECTIONS-Organizing Committee Member
  • Class tutor III DC B.Sc Mathematics

RESEARCH PUBLICATIONS : PAPER/ CHAPTER

Sl.No  Year  Publication Title  Name of Journal  National/International Vol & Issue Page No(s)
1.  2021  Gopalapillai Indulal,  Liju Alex, Ivan Gutman,  On graphs preserving PI  index upon edge  
removal		 Journal of  
Mathematical  
Chemistry,		 International Vol 59  1603-1609
2  2021  Liju Alex, G Indulal,  Some degree based  
topological indices of a  generalized F sums of  Graphs, 		 Electronic Journal  of Mathematical  Analysis and  
Applications		 International -Vol  
9(1), Jan 2021, 		 pp 91-111.
3.  2020  G Indulal, Liju Alex,  Suleyman Ediz, The R  Index of Some Graphs,  Proceedings of  
IAM 		 V.9,N.2  pp 119-125.
4.  2021  Liju Alex, Gopalapillai  Indulal, On the Wiener  index of FH sums of  graphs Journal of  
Computer Science  and Applied  
Mathematics		 Vol 3 No 2  Pp 37-57

Details of Workshops/ Conferences/Seminars/Symposiums Attended/ Paper Presentations/ Talks Given

Sl.No Title of Seminar/  
Conference etc		 Title of Paper  Invited/Participation /Contribution Agency/  
Venue		 Date  National/ 
International/ 
Regional
1.  Second International  
Conference on Algebra and  Discrete Mathematics  
ICADM 2020, Madurai  Kamaraj University,  
Madurai		 On Weighted  
Szeged index of  
bridge and chain  graphs		 Contribution  Online  
Mode,  
Madurai  
Kamaraj  
University,  
Madurai 		 24-26 June  2020 International
2.  FMAACM 2021,  
Pondicherry University (A  Central University of  
India), India		 On the degree  
based topological  indices of F* sums  of graphs		 Contribution  Online  
Mode, 
Pondicherry  University  
(A Central  
University of  India), India		 25-26  
February  
2021		 International
3.  Intercollegiate Mathematics  Quiz Competition, K E  College, Mannanam –  Invited  K E College,  Mannanam 10 March  
2021		 Regional
4.  All Kerala Mathematics  Talent Search, Catholicate  College, Pathanamthitta –  Invited  Catholicate  
College,  
Pathanamthit ta		 3, 7  
December  2020		 Regional
5.  All Kerala Intercollegiate  Mathematics Quiz  
Competition, Alphonsa  College, Pala		 Invited  Alphonsa  
College, Pala		 04 March  
2020		 Regional
6.  Workshop on Foundations  of Mathematical Analysis,  Bishop Moore College,  Mavelikkara Invited  Bishop  
Moore  
College,  
Mavelikkara		 28-30 June  2021 Regional
7 
.		 All Kerala Intercollegiate  Mathematics Quiz  
Competition, KE College,  Mannanam		 Invited  KE College,  Mannanam 04 March  
2020		 Regional
8.  Workshop on Analysis and  its applications, St.  
Stephens College,  
Parthanapuram		 Invited  St. Stephens  College,  
Parthanapura m		 27  
September 2021		 Regional
9.  Regional Seminar  Invited  Baselius  
College,  
Kottayam		 12  
December  2017		 Regional
10  All Kerala Intercollegiate  Mathematics Quiz  
Competition, St. Teresas  College, Ernakulam		 Invited  St. Teresas  
College,  
Ernakulam		 20  
December  2017		 Regional
11  Invited Talk  Invited  CMS  
College,  
Kottayam		 22  
December  2017		 Regional
12  All Kerala Intercollegiate  Mathematics Quiz  
Competition, TocH  
Institutre of Science and  Technology, Arakunnam		 Invited  TocH  
Institutre of  Science and  Technology,  Arakunnam		 19 March  
2018		 Regional
13  Examiner, M G University  Project Evaluation  Invited  Govt.  
College,  
Nattakom		 5 April  
2019		 Regional
14  All Kerala Intercollegiate  Mathematics Quiz  
Competition, St. Stephens  College, Uzhavoor		 Invited  KSCSTE and  DST and St.  Stephens  
College,  
Uzhavoor		 8 August 
2018		 Regional
15  Special Coaching for NET/  SET Invited  Jayaraj  
Annapackia 
m College  
for women,  Periyakulam		 23 June  
2015		 National
16  Seminar on Applications of  Mathematics Baselius 
College,  
Kottayam		 16 October  2015 Regional

Sl. No  Title  Funding Agency  Venue  Date  Regional/  
National  
/International
1.  INTERNATIONAL  
CONFERENCE ON GRAPH  CONNECTIONS-Organizing  Committee Member		 Bishop Chulaparambil  Memorial College,  
Kottayam		 August 6- 
8,2020		 International
2  Refresher Course for College  Teachers in Kerala State-III Kerala School of  
Mathematics,  
Kozhikode		 18-21  
October 2015		 Regional
3  Refresher Course for College  Teachers in Kerala State-I Kerala School of  
Mathematics,  
Kozhikode		 23-26 August  
2015		 Regional
4  Workshop of LaTeX  Bishop Chulaparambil  Memorial College,  
Kottayam		 24 September  
2015		 Regional
5  National Seminar on Recent  trends in Mathematics Bishop  
Chulaparambil  
Memorial College,  
Kottayam		 17-18  
February 
2017		 National
6  Workshop on Restructuring  of Curriculum and Syllabus  of Undergraduate  
Programme in Mathematics		 Mahatma  
Gandhi 
University,  
Kottayam		 Bishop  
Chulaparambil  
Memorial College,  
Kottayam		 12 April  
2017		 Regional
7  Workshop on Fundamentals  of Topology Bishop  
Chulaparambil  
Memorial College,  
Kottayam		 27-28 
November  
2017		 Regional
8  Two Day seminar on Basics  of Analysis, Stochastics  
Process and Topology		 Maharajas College,  Ernakulam 14-15  
December  
2017		 Regional
9  National Level workshop  on Statistical Design of  
Experiments for Basic  
Science Research		 Bishop  
Chulaparambil  
Memorial College,  
Kottayam In  
Association with  
Indian Statistical  
Institute Chennai		 6-8  
December  
2018		 National
10  National Conference on  
Advancements in Graph  
Theory		 Bishop  
Chulaparambil  
Memorial College,  
Kottayam		 23,24  
February  
2018		 National
11  Refresher Course in  
Mathematics		 UGC HRDC  Hyderabad 
University,  
Hyderabad		 18 July 2019  
to 31 July  
2019		 National
12  One Day Workshop on  
Numerical Methods and  
Python		 Bishop
Chulaparambil
Memorial College,  
Kottayam		 28 February  
2020		 Regional
13 Two Week Interdisiplinary  Refresher Course in  
“Managing Online Classes  & Co- Creating MOOCS  (Level 2)”		 MINISTRY  
OF  
EDUCATION, 
PANDIT  
MADAN  
MOHAN  
MALAVIYA  
NATIONAL 		 Teaching Learning  
Centre, Ramanujan  College 
University of Delhi 
under the 		 02-16 June  
2021		 National
 14 REFRESHER COURSE IN  MATHEMATICS MINISTRY  
OF  
EDUCATION, 
PANDIT  
MADAN  
MOHAN  
MALAVIYA  
NATIONAL  
MISSION ON  
TEACHERS  
AND  
TEACHING		 Teaching Learning  
Centre, Ramanujan  College 
University of Delhi 
under the 		 31 August 14  
September  
2021		 National
15  Online one week Faculty  Development Programme on 
“Advanced Pedagogical  
Techniques”		 MINISTRY  
OF  
EDUCATION, 
PANDIT  
MADAN  
MOHAN  
MALAVIYA  
NATIONAL  
MISSION ON  
TEACHERS  
AND  
TEACHING		 Teaching Learning  
Centre, Ramanujan  College 
University of Delhi 
under the 		 30 June 06 
July 2021		 National
16  Scholar Support  
Programme- Workshop		 Loyola College,  
Trivandrum		 26,27October  
2016 		 Regional

PAPERS HANDLED AS PER UNIVERSITY SYLLABUS

S.No  Semester  Paper Code  UG- Title  PG – Title
1. VI  MM6CBT02  Basic Python Programming and  Typesetting in LaTeX
2. V  MM5CRT01  Mathematical Analysis
3.  V  MM5OPT02  Applicable Mathematics (Open  Course
4.  IV  MM4CRT01  Vector Calculus, Theory of  Numbers, Laplace transforms
5.  IV  MM4CMT01  Fourier Series, Laplace  
Transforms and Complex  
Analysis
6.  III  MM3CRT01  Calculus
7.  II  MM2CRT01  Analytic Geometry  
Trigonometry and Differential  Calculus
8.  I  MM1CMT01  Partial Differentiation, Matrices,  Trigonometry, Numerical  
Methods
9.  I  ME010103  Basic Topology
10.  II  ME010203  Numerical Methods and  
Python
11.  III  ME010304  Functional Analysis

ADDITIONAL INFORMATION

Projects:

Two Month Internship project in Indian Institute of Science, Bangalore as part of Indian
academy of Science summer research project during April -May 2015.
Topic: Qualitative Analysis of Dynamical Systems
Guide: Dr. A. K . Nandakumaran