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Mathematics

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Year of Establishment:

1963

Affiliated to:

Bengaluru City University

Head of the department:

Prof. Chandrashekharappa A. S.

Under-graduate:

Physics, Chemistry, Mathematics (1963 – 64).
Physics, Mathematics, Computer Science (1988 – 89).

Objectives of the department

  1.  To enhance the students logical, reasoning, analytical and problem solving skills.
  2.  Training the students to face the challenging trends of the day.
  3.  Inculcating aptitude for research in Mathematics.

Undergraduate Programmes:

Bachelor of Science (B.Sc)

Non -NEP

Physics, Chemistry, Mathematics.(PCM) Physics, Mathematics, Computer Science. (PMCs)

Eligibility:

Pass in 2nd PUC / ( 10+2) Level.

Course design:

Three years are spread over Six semesters with Odd and Even semester examinations.

NEP

  1. Physics, Mathematics.(PM)
  2. Chemistry, Mathematics(CM)
  3. Mathematics, Computer Science. (MCs)

Eligibility:

Pass in 2nd PUC / ( 10+2) Level.

Course design:

Four years are spread over Eight semesters with Odd and Even semester examinations.
  1. Completion of Two Semesters- Certificate
  2. Completion of Four Semesters –Diploma
  3. Completion of Six Semesters – Degree
  4. Completion of Eight Semesters – Honours

Short Term Course

Certificate Course

Name of Certificate programs offeredYear of offering No. of times offered during the same yearDuration of courseNumber of students enrolled in the yearNumber of Students completing the course  in the year
Introduction to LaTex 2017-1801 40 hrs. 2929
Introduction to LaTex 2018-1901 40 hrs. 2828
Introduction to LaTex  and Beamer 2019-2001 60 hrs. 4343
Introduction to LaTex  and Beamer2020-2101 60 hrs. 2424
 60 hrs 70 70
UGC-STRIDE Sponsored certificate course Data Science Using python
Introduction to LaTex and Beamer2021-2201 60hrs 16 16
UGC-STRIDE SponsoredSQL- Structured Query Language & PSQL 2022-2301 50hrs 38 38
Introduction to LaTex and Beamer2022-2301 50hours 1816

Value Added Course

Name of Value added courseYear of offering No. of times offered during the same yearDuration of courseNumber of students enrolled in the yearNumber of Students completing the course  in the year
Vedic Mathematics 2019-20 01 40 Hours 22 15
Vedic Mathematics 2020-21 01 40 Hours 40 37
Vedic Mathematics2021-22 01 40 Hours21 21
Vedic Mathematics2022-23 01 40 Hours1616
  1. 5th & 6th Sem Mathematics Syllabus
  2. Mathematics I_II sem Syllabus -NEP
  3. Mathematics III _ IV Sem Syllabus-min
Departmental Library
Books in the Department library637
Algebra87
Complex analysis76
Differential Equations 58
Differential and Integral Calculus41
Numerical Analysis34
Topology15
Vector Calculus21
Fluid Dynamics19
Faculty denoted Books198
Other (Discrete Mathematics, Differential Geometry etc.,)
 e-Journals
INFLIBNET-N-LIST
www.emis.de/Journals

Chandrashekrappa A.S

M.Sc.,M.Phil, (Ph.D)
HOD
View CV

Smt. Manjula.K

M.Sc.,M.Phil
Assistant Professor
View CV

Smt .Poornima Samaje

M.Sc., B.Ed (Ph.D)
Assistant Professor
View CV

Mr.Basavaraj

M.Sc., B.Ed
Assistant Professor
View CV

Smt.Buddamma

M.Sc.,B.Ed
Assistant Professor
View CV

Ms.Deekshitha L N

M.Sc
Assistant Professor
View CV

Student Enrolment – UG

Year Programme CodeNumber of seats sanctionedNumber of Students admittedMale Female Total
2018-19 PCM72723636162
PMCs90904644
2019-20 PCM72702941142
PMCs90724032
2020-21 PCM72532528102
PMCs120493019
2021-22 PM, MC7220110859
MCs120421822
2022-23 PM, MC7212040838
MCs120261016

Rank Holders

9th Rank in B.Sc

2021-22
Aishwarya M
Reg.No. S1915864

5th Rank in B.Sc

2021-22
Deepa K
Reg.No. S1915876

4th Rank in B.Sc

2016-17
Sindu M
Reg.No. 14AZS85054

Under Graduates

YearProgram NameNumber of students appeared in the final year examinationNumber of students passed in final year examination%

Average pass

%

2018-19B.SC.73709695.12
2019-2014213092
2020-2113713197
2021-2212411895
2022-23928895.6

COURSE OUTCOME DEPARTMENT OF MATHEMATICS

Title of the paper: MATDSCT 1.1: Algebra – I and Calculus – I

Course Outcomes:

  • Learn to rank of a matrix.
  • Solve the system of homogeneous and non homogeneous linear of m equations in’ n’ variables by using concept of rank of matrix, finding eigen values and eigen vectors
  • Students will be familiar with the techniques of find nth derivatives of .
  • Identify and apply the intermediate value theorems and L’Hospital’s rule.

 

Title of the paper: MATDSCP 1.1: Practical’s on Algebra – I and Calculus – I

Course Outcomes:

  • Learn Free and Open Source Software (FOSS) tools for computer programming Solve problem on algebra and calculus theory studied in MATDSCT 1.1 by using FOSS
  • Solve problem on algebra and calculus theory studied in MATDSCT 1.1 by using FOSS softwares
  • Acquire knowledge of applications of algebra and calculus through FOSS Practical / Lab Work to be performed in Computer Lab

 

Title of the paper: MATOET 1.1: Mathematics – I

Course Outcomes:

  • Learn to solve system of linear equations.
  • Solve the system of homogeneous and non homogeneous m linear equations by using the concept of rank of matrix, finding eigen values and eigen vectors.
  • Students will be familiar with the techniques of differentiation of function with real variables.
  • Identify and apply the intermediate value theorems and L’Hospital’s rule.
  • Learn to evaluate integrals , find arc -lengths , areas and volume.

 

Title of the paper: MATDSCT 2.1: Algebra – II and Calculus – II

Course Outcomes:

  • Recognize the mathematical objects called Groups.
  • Link the fundamental concepts of groups and symmetries of geometrical objects.
  • Explain the significance of the notions of cosets, normal subgroups and factor groups.
  • Understand the concept of differentiation and fundamental theorems in differentiation.
  • Find the extreme values of functions of two variables.

 

Title of the paper: MATDSCP 2.1: On Algebra -II and Calculus – II

Course Outcomes:

  • Learn Free and Open Source Software (FOSS) tools for computer programming
  • Solve problems on algebra and calculus by using FOSS.
  • Acquire knowledge of applications of algebra and calculus through FOSS Practical/Lab Work to be performed in Computer Lab.

 

Title of the paper: MATOET2.1(A): Mathematics –II

Course Outcomes:

  • learn how to find the roots of equations.
  • relation between roots and coefficients.
  • learn Descartes’rule of signs to find roots.
  • Understand the concept of differentiation.
  • Find the extreme values of functions of two variables.
  • To understand the concepts of multiple integrals and their applications.

 

Title of the paper: MATDSCT 3.1: Ordinary Differential Equations and Real Analysis – I

Course Outcomes:

  • Solve first-order non-linear differential equations and linear differential equations.
  • To model problems in nature using Ordinary Differential Equations.
  • Formulate differential equations for various mathematical models.
  • Apply these techniques to solve and analyze various mathematical models.
  • Understand the fundamental properties of the real numbers that lead to define sequence and series, the formal development of real analysis.
  • Learn the concept of Convergence and Divergence of a sequence.
  • Able to handle and understand limits and their use in sequences, series, differentiation, and integration.
  • Apply the ratio, root, alternating series, and limit comparison tests for convergence and absolute convergence of an infinite series.

 

Title of the paper: MATDSCP 3.1: Practical’s on Ordinary Differential Equations and Real Analysis – I

Course Outcomes:  This course will enable the students to gain hands-on experience of

  • Free and Open Source software (FOSS) tools or computer programming.
  • Solving exact differential equations • Plotting orthogonal trajectories
  • Finding complementary function and particular integral of linear and homogeneous differential equations.
  • Acquire knowledge of applications of real analysis and differential equations.
  • Verification of convergence/divergence of different types of series.

 

Title of the paper: MATDSCT 4.1: Partial Differential Equations and Integral Transforms

Course Outcomes:

  • Formulate, classify and transform partial differential equations into canonical form.
  • Solve the partial differential equations of the first order and second order
  • Solve linear and non-linear partial differential equations using various methods; and apply these methods to solving some physical problems.
  • Able to take more courses on wave equation, heat equation and Laplace equation.
  • Solve PDE by Laplace transforms.

 

Title of the paper: MATDSCP 4.1: Practical’s on Partial Differential Equations and Integral

Transforms

Course Outcomes:

  • Learn Free and Open Source Software (FOSS) tools or computer programming.
  • Solve problems on Partial Differential Equations and Integral Forms
  • To find Laplace transform of various functions
  • To find the Fourier Transform of periodic functions
  • To solve differential equations by using Integral transforms.

 

Title of the paper: :PaperBSc 5th semester :12525

Course Outcomes:

This course will enable the students to:

  • Recognize the mathematical objects called groups
  • Link the fundamental concepts of groups and symmetric groups.
  • Explain the significance of the notions of cosets, normal subgroups, factor
  • Groups, Order of an element and cyclic groups,
  • Analyse consequences of Lagrange’s theorem.
  • Understand some properties of Rings, fields and integral domains

 

This course will enable the students to:

  • Learn Free and Open Source Software (FOSS) tools for computer programming
  • Solve problem on algebra by using FOSS software’s.
  • Acquire knowledge of applications of algebra through FOSS

 

Title of the paper:Paper-VI: 12526

Course Outcomes:

This course will enable the students to:

  • Learn the concept of vector functions and vector fields.
  • Apply the concept of Gradient, divergence and curl of vector function fields
  • Realize importance of Green, Gauss and Stokes’ theorems in other branches of mathematics.

 

This course will enable the students to

  • Learn Free and Open Source Software (FOSS) tools for computer programming
  • Solve problem on vector calculus by using FOSS software’s.
  • Acquire knowledge of applications of vector calculus through FOSS.

 

Title of the paper: BSc 6th semester  Paper VII: 11625

Course Outcomes:

This course will enable the students to:

  • Understand the concepts of vector spaces, subspaces, bases, dimension and their

properties.

  • Relate matrices and linear transformations, compute Eigen values and Eigen vectors of linear transformations.
  • Learn properties of inner product spaces and determine orthogonality in inner

product spaces.

  • Learn the concept of basis, sub basis, dimension of vector functions and fields.
  • Explain Rank nullity theorem
  • Obtain numerical solutions of algebraic and transcendental equations.
  • find numerical solutions of system of linear equations and check the accuracy of the solutions.
  • Obtain integration by numerical methods.
  • Learn about various interpolating and extrapolating methods.

 

Title of the paper: BSc 6th semester  Paper VIII: 11626

Course Outcomes:

  • Solve initial and boundary value problems in differential equations using numerical methods.
  • Visualize complex numbers as points of ℝ฀ and stereographic projection of complex

plane on the Riemann sphere.

  • Understand the significance of differentiability and analyticity of complex functions
  • leading to the Cauchy-Riemann equations.
  • Learn the role of Cauchy-Goursat theorem and Cauchy integral formula in

evaluation of contour integrals.

  • Apply Liouville’s theorem in fundamental theorem of algebra.
  • Learn the concept of bilinear transformation, conformal mappings, rotational mapping, Translation, magnification, inversion.

 

This course will enable the students to

  • Learn Free and Open Source Software (FOSS) tools for computer programming
  • Solve problem on linear algebra by using FOSS software’s.
  • Acquire knowledge of applications of linear algebra through FOSS
  • Solve problem on numerical methods by using FOSS software’s.
  • Acquire knowledge of applications of numerical methods through FOSS
  • Solve problem on complex analysis by using FOSS software’s.
  • Acquire knowledge of applications of complex analysis through FOSS

2018-19:

Sl. NoDateParticulars
102-07-2018Commencement of UG classes
209-07-2018Orientation program
319-07-2018Issue of Lab Manual
401-07-2018Issue of student work book
503-08-2018Notification for certificate course
608-08-2018Student project
716-08-2018Interclass Quiz competition
821-08-2018Commencement of Certificate course
901-09-2018Extension activities
1005-09-2018Inhouse student seminar competition
1113-09-2018Remedial classes for slow learners
1227-09-2018Remedial classes for slow learners
1310-10-2018State level seminar
1412-10-2018Student project
1516-10-2018Mock practical test
1625-10-2018University Mathematics practical exams
1709-11-2018Science Exhibition
1816-07-2018Date of reporting of  teachers  (PG)
1923-07-2018Commencement of class for III semester students (PG)
2001-08-2018Staff meeting with the Principal to discuss about general Time-table & other academic activities
2128-08-2018Commencement of class for I semester students
2215-08-2018Independence Day celebtation
2305-09-2018Teacher’s day celebration
2402-10-2018Gandhi Jayanthi Celebration
2527-11-2018Last working day for III semester students
2612-12-2018Last working day for I Semester students
2726-11-2018Submission of internal marks for III Semester students
2811-12-2018Submission of internal marks for I Semester students
 
 even sem PG & UG
103-01-2019Dispaly of Teaching Plan and Time table
209-01-2019Ramanujan Day Celebration
318-01-2019Issue of Lab Manual
424-01-2019Issue of student work book
501-02-2019Student project
604-02-2019Date of reporting of teachers
705-02-2019Commencement of classes for IV semester students
805-02-2019Commencement of classes for II semester students
905-02-2019Commencement of class for IV semester students
1005-02-2019Commencement of class for II semester students
1108-02-2019Ceretificate Course Exam
1214-02-2019Internal tests
1322-02-2019Student seminars
1422-02-2019BU Mathematics Practical Exams
1528-02-2019National Science Day Celebration
1601-03-2019National Seminar\Webinar
1706-03-2019Lecture Compitation
1814-03-2019PI- Day Celebration
1921-03-2019Remedial classes for slow learners
2005-04-2019Inhouse student seminar competition
2110-04-2019Student project
2218-04-2019Peer Tutorial
2325-04-2019Peer Tutorial
2403-05-2019Remedial classes for slow learners
2508-05-2019Internal Assesment
2617-05-2019Mock Practical Test
2708-06-2019Last working day for IV semester students
2808-06-2019Last working day for II Semester students
2909-06-2019Submission of internal marks for IV Semester students
3009-06-2019Submission of internal marks for II Semester students
3122-07-2019Commencement of classes for III semester students
3228-08-2019Commencement of classes for I semester students
3301-12-2018 to 08-12-2018Preparatory holidays for III Semester students
3407-01-2019 to 02-02-2018Vacation for teachers
3507-01-2019 to 12-01-2019Preparatory holidays for  I  Semester students
3610-06-2019 to 13-07-2019Vacation for teachers
3710-06-2019 to 14-06-2019Preparatory holidays for IV Semester students
3810-06-2019 to 14-06-2019Preparatory holidays for II  Semester students
3910-12-2018 to 22-12-2018Theory and practical exams for III semester students
4015-01-2019 to 25-01-2019Theory and practical exams for I semester students
4117-06-2019 to 29-06-2019Theory and practical exams for IV semester students
4217-06-2019 to 29-06-2019Theory and practical exams for II semester students
 

2019-20:

  2019-20 odd sem UG and PG
104-07-2019 Issue of Student Manual
203-08-2019Co-ordinators  meeting with the Principal to discuss about the Calendar of Events
3for the current semester
408-08-2019Inauguration of “Ramanujanclub”.
510-08-2019Date of reporting of teachers -PG
615-08-2019Independence Day celebtation
719-08-2019Commencement of class for III semester students
823-08-2019Interactive workshop on “Linear Algebra”
926-08-2019Commencement of class for I semester students
1005-09-2019Teacher’s day celebration
1112-09-2019Commencement of Certificate course on “Introduction to Latex and Latex Beamer”
1220-09-2019Extension activities
1325-09-2019Student Projects
1402-10-2019Gandhi Jayanthi Celebration
1508-10-2019Technical Talk on “Graph Theory”
1622-10-2019Commencement of Value addition course On “Vedic Mathematics”
1724-10-20191st Internal test  -PG
1805-12-20192nd Internal test -PG
1920-12-2019Submission of internal marks for III Semester students
2020-12-2019Submission of internal marks for I Semester students
2120-12-2019Last working day
2221-12-2019 to 31-12-2019Preparatory holidays for students
2320-12-2019 to 24-01-2020Vacation for teachers
2402-01-2020 to 17-01-2020Theory and practical exams
2518-01-2020 to 30-01-2020Valuation of semester examination
2601-02-2020Commencement of classes
 
  2019-20  Even  sem UG and PG
 04-01-2020Talk On “Ramanujan Numbers”,
 Birth Anniversary celebration of Ramanujam.
 11-01-2020National Seminar on “Recent Advances in Mathematical Sciences”
 18-01-2020Inter Class Competitions Quiz,/Pick and Speech,/ Lecture Competitions
 

2020-21

2020-21    – ODD
Sl. NoDateParticulars
102-09-2020Commencement of UG classes
204-09-2020Commencement of PG classes
315-09-2020Issue Of Student Manual
418-09-2020Class in house seminar
503-10-2020Notification for certificate course- 2020-21
605-10-2020Inaguration of Mathematics  club.
719-10-2020Student projects -UG
822-10-2020Student projects-PG
929-10-2020Commencement of Certificate course on “Introduction to Latex”
1030-10-2020Class in house seminar-PG
1103-11-2020National Seminar
1212-11-2020Commencement of Value added course on “Vedic Mathematics”
1313-11-2020Class in house seminar
1420-11-2020Extension activities
1527-11-2020Remidial classes for slow learners-UG
1627-11-2020Remidial classes for slow learners-PG
1701-12-2020Class in house seminar-PG
1807-12-2020Mock practical test-UG
1910-12-2020Mock practical test-PG
2014-12-2020BCU Mathematics practical exams
2115-12-2020BCU Mathematics practical exams
1520-12-2020UG final exams
1624-12-2020PG final exams
 
 Even sem
1715-01-2021Commencement of UG classes
1816-01-2021Commencement of PG classes
19 17-01-2021Quiz
2030-01-2021Guest Lecture
2101-02-2021Notification for in house seminar-UG
2202-02-2021Notification for in house seminar-PG
23 08-02-2021National Seminar
2417-02-2021Student seminar-UG
2518-02-2021Student seminar (Inter- class)-PG
2620-02-2021Class in house seminar-PG
2723-02-2021Remidial classes for slow learners-UG
2824-02-2021Remidial classes for slow learners-PG
2902-03-2021Class in house seminar-PG
3005-03-2021Mock practical test
3107-03-2021Mock practical test
3208-04-2021BCU Mathematics practical exams
3309-04-2021BCU Mathematics practical exams
3419-04-2021UG final exams
3523-04-2021PG final exams

2022-23

ODD SEM
03-11-20222nd Internal assesment
10-11-2022BCU practical Examinations
19-11-2022BCU thoey II sem Examination
02-12-2022Commencement of UG classes
09-12-2022BCU practical Examinations
20-12-2022Ramanujan Day celebration
26-12-2022Commencement of PG classes
29-12-2022Intercollegiate-Science Exhibition
03-01-2023Student seminar-PG
12-01-2023Student Activity (seminars
16-01-2023Class in house seminar
27-01-2023Internal assesment
02-02-2023National Seminar
07-02-2023Class in house seminar-PG
08-02-2023Students study Holidays
09-02-2023Extension activities
17-02-2023Interactive Workshop
24-02-2023. Mock practical test-UG
02-03-2023. Mock practical test-PG
15-03-2023BCU Theory Mathematics exams.-UG
25-04-2023BCU Mathematics practical exams-UG
27-05-2023BCU Theory Mathematics exams.-PG
04-06-2023BCU Mathematics practical exams-PG
EVEN SEM
03-04-2023Commencement of UG classes
15-04-2023Issue Of Student Manual
18-04-2023Class in house seminar
03-05-2023Notification for certificate course- 2022-23
05-05-2023Inaguration of Mathematics  club.
19-05-2023Student projects -UG
22-05-2023Student projects
29-05-2023Commencement of Certificate course on “Introduction to Latex”
30-05-2023Class in house seminar-UG
01-06-2023Commencement of PG classes
03-06-2023National Seminar
12-06-2023Commencement of Value added course on “Vedic Mathematics”
13-06-2023Class in house seminar-PG
20-06-2023Extension activities
27-06-2023Remidial classes for slow learners-UG
27-06-2023Remidial classes for slow learners-PG
01-07-2023Class in house seminar-PG
07-07-2023Mock practical test-UG
10-07-2023Mock practical test-PG
30-09-2023UG final exams
04-10-2023BCU Mathematics practical exams
09-10-2023PG final exams
26-10-2023BCU Mathematics practical exams

2018-19

Sl.NoEventTopicDateBeneficiary
01 State level SeminarNumber Theory ,Applied Mathematics in Image Processing,Ordinary Differential equations, Differential Geometry10-10-201888 Students from 29 colleges across the state
02Science ExhibitionTo Promote Mathematics09-11-20181550 students from different Colleges and schools
03National Pi dayPPT PresentationSignificance of Pi14-03-201930 students Participated

2019-20

Sl.NoEventTopicDateBeneficiary
01Science ExhibitionTo make aware of Mathematical Formulae & Concepts30-08-20191200 students from Bangalore North Schools & Colleges
02 Interactive WorkshopApplication of Linear Algebra31-08-2019133 UG & PG students
03Extension ActivityExplore the Logical Reasoning Analytical & Problem Solving Skills06-09-2019More than 230 Students of government high schools Honnganhatti  ,Magadi road Bangalore Rural
04Extension ActivityLearning Mathematics through FOSS Tools22-12-2019125 High school students of North Bangalore
05Lecture CompetitionAchievements of Women in various Science fields07-02-202014 Participants from different Departments
06National Pi dayPPT PresentationFacts of Pi14-03-202030 Students Participated

2020-21

Sl.NoEventTopicDateBeneficiary
01E-Quiz CompetitionBasics of Mathematics15-07-202066 students of UG & PG
02 Ramanujan DayPPT PresentationRamanujan Numbers21-06-202083 UG & PG students
03National webinar on mathematical modeling in transdisciplinary research on basic sciencePedestrian crowd dynamics models & Numeric, Differntial Geometry,Mathematics in Computational Biology & Metabolomics26th &27th August 2020210 staffs & research Scholars,Academicians & Students.
04National Pi dayPPT PresentationApplications of  Pi14-03-202130 Students Participated

2021-22

Sl.NoEventTopicDateBeneficiary
01Power Point Competition“ The world of Mathematics Around Us”20 -06-2021160 students are enrolled, 60 ppts are consider for assessment
02Two Days National Webinar“TRANS-DISCIPLINARY PERSPECTIVES ON APPLIED COMPLEX ANALYSIS”2nd & 3rd September,2021.255 Staff, Research Scholars, Academicians & Students09 Papers were presented out of 22 received
04National Science DayLecture CompetitionIntegrated approach in S&T for Sustainable Future28-02-202230 Students Participated
05National Pi dayOnline PPT PresentationImportance  of  Pi14-03-202222 Students Participated

2022-23

Sl.NoEventTopicDateBeneficiary
01Interactive WorkshopWhy do we use Mathematics24-08-2022100 UG & PG students
02 Interactive WorkshopSQL & PSQL10-12-202280 UG & PG students
03Science ExhibitionTo Promote Mathematics15-12-20221550 students of different colleges &Schools
04National Mathematics dayPPT Presentation& Poster PresentationSrinivasa Ramanujan “A genius in the world of Mathematics”27-12-202222  Students Participated
05ExtensionActivityPresenting the Mathematical models20-02-2023104 Students of  government high school,Ganakallu
06National Science day  Lecture CompetitionGlobal Science of Global Wellbeing23-02-202335 students Participated
07Interactive WorkshopHeat Transfer through Fin-An application of Mathematics08-07-202380  UG & PG students
08Interactive WorkshopLinear Algebra in Combinatorics13-07-202380  UG & PG students
Faculty Publications  – 09
PublicationsNumberImpact Factor RangeISSNResearch area
International090.826-7.076ISSN 1085-1094 ISSN 2278-8697 ISSN 2321-9653ISSN 2229-5046ISSN\ 2090 -388XISSN 2278-8697ISSN 0973-3329ISSN: 2789-7206General TopologyBoundary value ProblemsFluid MechanicsDifferential Geometry
Faculty Presented and published – 02
PublicationsNumberISBNResearch area
National02ISBN: 978-5493-07-311-3Impact of Covid-19 Crisis
Student Paper Presentation -03
PublicationsNumberISSN/ ISBNResearch area
National03978-93-5437-830-0Applied Mathematics

Minor Research project

  1. Name of Principal Investigator : Dr. T. V. Karnakumar
  2. Duration of Project : 1.5 years
  3. Name of the research project : Analytical and numerical study of Marangoni convection in a fluid layer under the influence of surface deflection and magnetic field
  4. Amount/Fund received : Rs. 50,000/-
  5. Name of funding agency :UGC-STRIDE
  6. Year of sanction : 2021
 

Proposal for UGC-STRIDE  Projects -03 Major-01, Minor-02

Sl.No.LevelPrincipal InvestigatorTitleAmount in Rupees
1MajorKarnakumar.T.VBenard- Marangoni Convection(BMC) 33,54,000
2MinorChandrashekarappa.A.SSome Studies In Point-Set Topology2,20,000
3MinorManjula.kStudies on discrete vector calculus by using graph structure2,59,000

Research Publications in UGC care Journals -09

Title of paperName of the author/sName of journalYear of publicationISSN number
On complete network measure manifoldDr Akshata KenganguttiGloble Journal of Pure and Applied Mathematics2016-17ISSN1085-1094
Numaricsal Study of double Diffusive Benard -Marangoni conventions in Newtonian Liquids in the presence of heat source and Magnetic field with deformable free upper  surface by shooting methodKarnakumar T.VMathematical SciencesInternational Research Journal2017-18ISSN2278-8697
Solving Boundary Value Problems in Ordinary Differential Equations by using Meclaurin SeriesSudha HegdeInternational Journal for Research in Applied Science and Engineering Technology2017-18ISSN2321-9653
Extension of Urysohn’s Lemma on Measure Manifold with Additional ConditionsDr Akshata KenganguttiInternational Journal of Mathematical Archive2017-18ISSN2229-5046
A Study of measurable Hausdorff, regular and normal properties on the measure manifoldDr Akshata KenganguttiJournal of Advanced Studies in Topology2017-18ISSN2090 -388X
linear stability analysis of convection of Benard-Marangoni in Newtonian fluids with magnetic field and heat source.Karnakumar T.VMathematical SciencesInternational Research Journal2018-19ISSN2278-8697
PRE-gspr-CONTINUOUS FUNCTIONS IN TOPOLOGYChandrashekharappa ASSerials Publications Pvt. Ltd2020-21ISSN 0973-3329
UNIQUENESS PROBLEMS ON L-FUNCTIONS CONCERNING WITH WEIGHTED SHARING OF DIFFERENCE-DIFFERENTIAL POLYNOMIALSDr. Karnakumar T.VMr.Nagarjun vMr.Girish sharmaAnnals of Mathematics and Computer Science2021-22ISSN: 2789-7206

Research Publications Proceedings -02

Sl. No.Name of the teacherTitle of the paperTitle of the proceedings of the conferenceNational / InternationalISBN/ISSN number of the proceedingAffiliating Institute at the time of publication Name of the publisher
1Dr Karnakumar T VTime to be Vocal for Local: Uplift Indian Economy post Covid-19 CrisisNational Webinar ProceedingsImpact of nCovid-19 on higher education Trans-Disciplinary Research & EmployabilityNational WebinarISBN: 978-5493-07-311-3KLE’s S. Nijalingappa College
2Smt. K ManjulaAgri-Preneurship in India during Covid-19National Webinar ProceedingsImpact of nCovid-19 on higher education Trans-Disciplinary Research & EmployabilityNational WebinarISBN: 978-5493-07-311-3KLE’s S. Nijalingappa College
  1. Student workbook for CIA
  2. Frequent use of NPTEL, E-learning courses from IIT and IISc  Lecture series.
  3. Focus on Technological and computational skill using FOSS tools.
  4. Rewards for centum
  5. Certificate Course
  6. Student projects
  7. Student Seminars
Sl. NoEminent Persons and their designation
01 Dr. R. Vittal Rao  CEDT, IISc., Bangalore.
02 Dr. A.S  Vasudeva Murthy ,Professor, TIFR-CAM, Bangalore
03 Dr. S Balachandra Rao , Hon. Director, Gandhi Centre of Science and  Human values, Bangalore
04 Dr. V.Lakshmana Gomathi Nayagam  ,NIT Trichy, Tamil Nadu.
05Dr. Pradeep G Siddheshwar, Chairman, Department of Mathematics, Bangalore University, Bangalore.
06 Dr. Medha Itagi Huilgol, Professor, Department of Mathematics , Bangalore University, Bangalore.
07Dr. A.K Nanadakumaran , IISc, Bangalore
08Dr. M.S Mahadev Naik, Chairman, Department of Mathematics, BCU, Bangalore
09Dr. G.D  Veerappa Gowda, Professor, TIFR-CAM, Bangalore
10Dr. Vamsi Pritham Pingali, IISc, Bangalore
11Dr. H.G Nagaraj, Professor,  Department of Mathematics, BU, Bangalore.
12Dr. S. Sundar, Head, Dept of Mathematics, IIT Madras, Chennai
13Dr. S. Balaji, Associate Professor, MIT, Manipal
14Dr. Abhijit Banerjee , Professor, University of Kalyani, West Bengal
15Dr. Bappadithya Bhowmik, Professor, IIT Kharagpur
16Dr. Arul Joseph, Assistant Professor, SRMIST, Tamil Nadu
17Dr. Girish M. Sajjanshettar, Professor, MIT Manipal
18Dr. Mahesh K. Bhat, Associate Professor, SDM Honnavar
19Dr.S N Omkar ,Chief research Scientist ,Department of Aerospoace Engneering, IISC Bangalore
20Dr.Karthik Adhimurti Professor,Reader,TIFR-CAM ,Bangalore
21Dr.Byra Reddy,Technical Coordinator,Havanayukktha Solutions, Bangalore
22Dr.Sowmya G Assistant Professor,Ramaih Institute of Technology, Bangalore
23Dr.Koushik Ramachandran,Reader, TIFR-CAM ,Bangalore

About KLESNC

K.L.E. Society’s S. Nijalingappa College, established in the year 1963, is one of the premier institutions of K.L.E Society. It made a humble beginning in a rented building on Mahatma Gandhi Road, near Mayo Hall, as a Science College

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