Mathematics
Science
DEPARTMENT PROFILE
It is well known that ‘Mathematics” is considered as the ‘Mother of all Sciences”. In this regard, The department is started in the year 1967 with only one staff member Professor R.S.Biradar with countable number of students.
AIM
Initially the department is started to teach PUC courses only but the aim of the department is to strengthen the subject by imparting knowledge to Higher Education (degree level) and thus it is introduced for B.Sc., (Degree) course as one of the major subject affiliated to Karnataka University, Dharwad.
After the establishment of Gulbarga University, Gulbarga in the year 1984, the system of offering the subject of three equal importance was introduced and the subject mathematics is initially introduced in PCM (Physics, Chemistry and Mathematics) combination and further with PME (Physics, Maths, Electronics) and PMCs. In the year 2006 our college got affiliated to Karnataka State Women University, Bijapur and from 200708 semester system of education was introduced.
Introduction:
In the year 1973 Prof. R.S.Biradar who was working as Chairman of the Dept. has been transferred to our sister institution P.D.A Engineering College, Gulbarga then Prof. Lalita Patil took over the charge as Head of the Department. During her chairmanship and long services from 1973 to 2005, Prof. Lalita Patil struggled a lot for the upliftment of the subject. Since then the subject continued to gain its importance and strength year by year and proved its efficiency.
In the year 1983 senior Prof. P.P. Deshmukh has been transferred over here from our sister institution B.V.B. College, Bidar. He rendered his valuable services as chairman of the department for the period of 11 years. Under his chairmanship the department was fully nourished and attained its maxima.
Further in the year 1988 Smt. Veena Honguntikar joined the department as a lecturer and the department became full fledged. Again after the promotion of Prof. P.P. Deshmukh as principal to H.K.E’s B.V.B. College, Bidar, Dr.D.G.Akka from there got transferred here.
Further in the year 1992 Smt. Jagadevi Hiremath was transferred from our own sister institution Prabhu College, Surpur to this College and served here for two years.
In 2005, after the super annuation of Prof Lalita Patil, Dr. Gayatri Natraj has been transferred from our sister institution M.S.I Degree College, Gulbarga to this College and took the charge as Head of the Department.
Again in 2012, Dr. Gayatri Natraj promoted as principal of H.K.E’s Veerendra Patil Degree College, Bangalore in turn Dr.Sunita C has been transferred from H.K.E’s S.S.Margol College, Shahabad to the department.
Presently there is only one Doctorate Dr. Veena PH Professor & H O D who is also acting as VICE PRINCIPAL of the college serving in the department with one Guest lecturer.
TEACHING STAFF
S.No  Name of the Faculty  Designation  Photo  Qualification  BioData 

1  Dr.Veena P.H  Associate Professor  M.Sc. , B.Ed., Ph.D  view profile  
2  Smt.Ambika Patil  Lecturer  M.Sc., B.Ed  view profile 
Courses & Syllabus
Programme :B.Sc
Course : PMC,PME,PMCs
NEP :Maths Physics, Maths C.Sc
Syllabus:
Sl. No.  Class 

1  B.Sc – I and II sem 
2  B.Sc – III and IV sem 
3  B.Sc – V and VI sem 
4  B.Sc I & II sem: NEP 
5  B.Sc III & IV sem: NEP 
Study material:
Type  Link 

1. PPT with audio lectures  View 
2. YouTube channel  Ambika Patil Mathematics Classes 
Research
Reasearch Projects:
 Dr. Veena P.H (20132017): Completed one major research project funded by UGC with the grant of Rs.12,50,800/ in Aug 2017.
 Dr. Veena.P.H (20052007): Completed one minor research project funded by UGC with the grant of Rs.45,000/
 Dr. Veena.P.H (20172018): Title : “Mathematical study of free and forced convective viscous flows past a stitching sheet with heat transfer” funded by HKE Society with amount Rs. 8000/
Research Publications:
International Journal Publications Of Dr. Veena P.H For The Last Five Years:
Sl. No.  Title  Name of Journal  Volume  Page no  Impact Factor 

1  MHD Power Law Fluid Flow Past a Stretching Porous Sheet.  Int. Journal of Mathematics Archive  9  168176  ISSN 22295046 
2  MHD Momentum Transfer Flow of a Non Newtonian Walters Liquid over a Quadratic Stretching Porous Sheet  International Journal of Mathematics and its applications 2018  6  305314  ISSN 09735084 
3  NonNewtonian MHD flow with heat and mass transfer due to an exponential stretching porous sheet  International Journal of Mathematical Archive2018  9  102113  ISSN 22295046 
4  MHD Casson fluid flow and heat transfer with PST and PHF heating conditions due to a stretching sheet  IJMET2017  8  1626  SCImago ranking 
5  Non Newtonian viscoelastic heat transfer flow past a stretching sheet with convective boundary condition  IJERA2017  7  2632  ISSN 22489622 
6  Mixed convective heat and mass transfer MHD flow past unsteady stretching sheet with internal heat generation, viscous dissipation internal mass diffusion including Soret and Dufour effects.  IJARET2017  8  1733  SCImago ranking
I.F 10.9475 
7  Mass transfer and radiative heat transfer flow of MHD Casson fluid with temperature gradient dependent heat sink and internal mass diffusion in a vertical channel with stretching porous walls.  Chemical and process engineering researchIISTE2017  47  3443  I.F 5.51 
8  NonNewtonian momentum transfer past an isothermal stretching sheet.  IJAME2017  –  –  SCImago ranking 
9  Reinvestigation of the existence of nonuniqueness solution of the flow of nonNewtonian fluid over a stretching sheet.  International Journal of Emerging Technologies – 2016  7  304308  SCImago ranking 
10  Influence of porosity and magnetic field on nonNewtonian UCM fluid flow with heat transfer including viscous dissipation and internal heat generation over a stretching surface.  Journal of Chemical and Process Engineering Research – 2017  47  4451  I.F 5.51 
11  Soret and Dufour effect on unsteady free convective MHD heat and mass transfer flow with variable permeability, heat source and thermal diffusion.  Advances in Physics Theory and Applications – 2016  56  2332  I.F7.17 
12  Velocity and thermal slip effects of flow and heat transfer due to an exponentially stretching sheet with viscous dissipation and thermal radiation.  IISTE2016  53  5362  I.F 5.51 
13  Study on Similarity Solutions for MHD ViscoElastic Flow with Heat and Mass Transfer over a Permeable Stretching Sheet Extruded in a Cross Cooling Stream with Heat Source/Sink.  International Journal of Engineering Sciences & Research Technology – 2016  DOI:10.5281  622637  I.F
5.164 ISSN 22779655 
14  NonNewtonian Momentum Transfer Past an Isothermal Stretching Sheet with Applied Suction.  IISTE Advances in Physics Theory and Applications – 2016  56  915  I.F7.17 
15  Similarity Solutions for MHD ViscoElastic Flow over a Permeable and NonLinearly Quadratic Stretching Sheet.  Advances in Physics Theory and Applications – IISTE2016  51  7381  ISSN 2224719X 
16  Numerical Investigation of an Unsteady Mixed Convective Mass and Heat Transfer MHD Flow with Soret Effect and Viscous Dissipation in the Presence of Thermal Radiation and Heat Source/Sink.  International Journal of Mechanical Engineering and Technology – 2016  7  179193  SCImago ranking
I.F9.2286 
17  Oscillatory Flow of MHD Polar Fluid with Heat and Mass Transfer Past a Vertical Moving Porous Plate with Internal Heat Generation.  International Journal of Mechanical Engineering and Technology – 2016  7  212231  SCImago ranking 
18  Free convection boundary flow and heat transfer of a nano fluid over a moving plate with internal heat generation  Industrial Engg. LettersIISTE2016  6  3949  ISSN 22246096 
19  Free convective heat transfer flow of a Casson fluid with radiative and dissipative effect due to variable thermal conductivity and internal heat generation past a stretching sheet  IJESRT2015  –  –  I.F 5.164
ISSN 22779655 
20  MHD free convective and viscous dissipative with temperature and concentration dependent gradient past a porous stretching sheet with thermal diffusion  Complex systems and complexity science Journal2021  8  120 ISSN 16723813 
Seminar/Conference/Workshop Attended:
Dr.Veena P.H
Sl. No  Event Conducted By  Name Of The Seminar/Conference/Workshop  Date 

1  Smt. V.G. Degree College For Women, Kalburagi  Two days seminar on Professional development training programme for lecturers  30th & 31st Oct. 2018 
2  Smt. V.G. Degree College For Women, Kalburagi  One day seminar  16th Feb. 2019 
3  Smt. V.G. Degree College For Women, Kalburagi  Sensitization of changing perspectives in NAAC assessment and accreditation process  13th and 14th Sept. 2019 
4  BVVS Akkamahadevi College, Bagalkot  One Day National Webinar on Ancient Mathematics  22nd Dec 2020 
Ambika Patil:
Sl. No  Event Conducted By  Name Of The Seminar/Conference/Workshop  Date 

1  M.S. Irani Degree College, Kalaburagi  Two days national seminar on Changing gender rules attitude of modern Indian families  13th & 14th Feb. 2017 
2  M.S. Irani Degree College, Kalaburagi  One day workshop on new modalities of IQAC/NAAC  8th Sept. 2018 
3  Smt.V.G Degree College and P.G. Centre For Women’s, Kalaburagi  Two Days online workshop on “Digital Teaching And Learning”  25th & 26th June 2020 
4  IQAC Yashwantrao Chavan School of Social Work, Satara, Maharashtra  National EConference on NAAC’s New Framework of Accreditation Assessment for Higher Educational Institutions in India  8th July 2020 
5  IQAC Yashwantrao Chavan School of Social Work, Satara, Maharashtra  National EConference on Outcomes Based Education: Emerging Trends  10th July 2020 
6  HKBK Degree College, Bangalore  Three days National level FDP programme on “Role Of Faculty In Moulding Students”  24th & 26th May 2021 
7  Shri Siddheshwar Mahavidyalaya, Majalgaon  National webinar on “Recent Advances In Mathematics”  18th Jan 2022 
Any Other Research Related Event Organized/Attended by Faculty:
Research Oriented Lectures By:
1) Dr.Veena P.H to B.Sc Final year students on 15/12/2017 on the topic “Confluent Hyper Geometric Functions” at Smt.V.G. Degree College for Women, Kalaburagi.
2) Dr. Sunita C to B.Sc Final year students on 15/12/2017 on the topic “Graph Theory” at Smt.V.G. Degree College For Women, Kalaburagi.
Organized Special Lecture Series Under Student Enrichment Programme:
Sl. No  Resource Person  College  Topic  Date 

1  Dr. Suresh Birder  Lecturer Dept.Of Mathematics, AIT_Kalaburagi  RungeKutta Method Via Shooting Technique  20/12/2017 
2  Miss. Jyoti Gudnal  Research Scholar, GUG  Research Methodology  20/12/2017 
3  Sri. Shivaraj B  Govt. Degree College For Women, Kalaburagi  Maxima software  01/01/2022 
S No  Name of the Faculty  Programme  Topic  Institution  Date 

1  Dr Veena P H  FDP  Research Proposal Writing and opportunities in the field of Science, Engg. and Management  R & D Centre – BIT, Bengaluru  6th to 11th July 2020 
2  Dr Veena P H  FDP  Next generation Electronics and Computer Networks  Dept. of Electronics – BKITBhalki  2nd to 6th June 2020 
List Of Research Equipment’s:
Sl.no  Equipments  Quantity 

1  Research Oriented Text Books  100 
2  LAPTOP  1 
3  Computer system with table  1 
4  Printer/Xerox/Scanner (three in one)  1 
Activities
 BOS/BOAE members:
 Short Term Course Attended
S No  Name  Programme  Topic  Institution  Date 

1  Dr Veena P H  STTP  Tool in Teaching, Learning and Research  Dept. of Applied Science and Humanities – BKIT – Bhalki  25th to 30th November2016 
3. NAAC/IQAC related events attended
S No  Name  Programme  Topic  Institution  Date 

1  Dr Veena P H  One Day Webinar  NAAC Assessment and Accreditation Process  IQAC & CDC, KSAWUV and NAAC, Bengaluru  2962020 
2  Dr Veena P H  One Day Webinar  Awareness of National Education Policy2020  Smt V G Degree College For Women, Kalaburgi  2392020 
3  Dr Veena P H  One Day Workshop  New Modalities of IQAC / NAAC  M S I Degree College Kalaburgi  892018 
4  Smt Ambika Patil  One Day Workshop  New Modalities of IQAC / NAAC  M S I Degree College Kalaburgi  892018 
5  Smt Ambika Patil  One day national EConference  NAAC’s New Framework of Accreditation Assessment for Higher Educational Institutions in India  IQAC Yashwantrao Chavan School of Social Work, Satara, Maharashtra  08072020 
4. Teacher Exchange Programme: Teachers Invited to our College
S.No  Date  Name Of The Faculty  College  Topic 

1  02.2017  Dr. S.M. Shahajahan  Bi Bi Raza Degree College, Kalaburagi  Numerical Analysis 
2  02.2017  Smt. Kausar Jahan  Bi Bi Raza Degree College, Kalaburagi  Normal subgroups 
3  16.08.2017  Smt. Sarvar Sultana  Govt. Degree College For Women, Kalaburagi  Graph Theory 
4  14.03.2018  Miss. Sharanamma A  Govt. Degree College, Jewargi  Limits and Continuity 
5  06.09.2018  Dr. Habeeb  Govt. Degree College For Women, Kalaburagi  Partial Differentiation 
6  04.04.2019  Smt. Rajeshwari Patil  S.S.Tegnoor Degree College  Analytical Geometry 
7  01.10.2019  Smt. Neelkamal  Govt. First Grade College, Gurumitkal  Interpolation 
8  18.01.2020 – 25.01.2020  Dr. Suresh Biradar  Appa Institute of Technology, Kalaburagi  Numerical Methods of solving Differential Equations 
Faculty went to other colleges
S.No  Date  Name Of The Faculty  College  Topic 

1  03.10.2019  Dr. Veena P.H  Govt. First Grade College, Gurumitkal  Finite Differences 
2  06.09.2018  Dr. Veena P.H  Govt. Degree College For Women, Kalaburagi  Graph Theory 
Projects/Seminars conduted for the Students
Year  Names of Students 

201718  1. Shruti J BSc I yr 
2. Shushma  
3. SriRanjini  
4. Jubeda Begum  
201819  1. Rupini BSc IIIyr 
2. Nisha Joshi  
3. Asfiya S 
Academic Award/cash award:
1.Awards of Dr.Veena P.H
1) Life Time Achievement Award honoured by VD GOOD Technology Pondicherry ,India2021
2)Bharat Shiksha Ratan Award by International organization The Global Society for Health and Educational Growth – New Delhi 2015
3)UGC Research Award – 201214
Cash awards awarded to our students:
Scholarships awarded to following students
For the year 201819:
Sl.no  Name  Type 

1  Aditi  epass 
2  Akshata Biradar  epass 
3  Suma D H  epass 
4  Pooja Rathod  postmatric 
5  Kaveri  epass 
6  Laxmi M.G  epass 
7  Kaveri C.G  epass 
8  Ramyashree  epass 
9  Bhagyashree  epass 
10  Kavya  epass 
11  Nivedita  epass 
12  Renukadevi  epass 
13  Anasta Akhatar  NSP 
14  Vidyashree H R  Postmatric 
15  Pooja G  Postmatric 
16  Parvati V  epass 
17  Bushra Fatima  NSP 
18  Jagadevi S P  epass 
19  Shweta Sahu  epass 
20  Laxmi S M  epass 
21  Sabahat Fatima  Postmatric 
22  A Madhuri  epass 
23  Komala R  Postmatric 
24  Madiha Tabassum  Postmatric 
25  Vani Algud  epass 
For the year 201920:
Sl.no  Name  Type 

1  Aditi  epass 
2  Kavya  epass 
3  Nikhat Fatima  NSP 
4  Bushra Khanum  NSP 
5  Kaveri C.G  epass 
6  Vidyashree H R  Postmatric 
7  Pooja G  postmatric 
8  Parvati V  epass 
9  Bushra Fatima  NSP 
10  Jagadevi S P  epass 
11  Shweta Sahu  epass 
12  Parvati V  epass 
13  Bushra Fatima  NSP 
14  Jagadevi S P  epass 
15  Shweta Sahu  epass 
16  Laxmi S M  epass 
17  Sabahat Fatima  Postmatric 
18  A Madhuri  epass 
19  Mahalaxmi  SSP 
20  Shilpa Kamble  Postmetric 
For the year 202021:
Sl.no  Name  Type 

1  Syeda Roqaiya Bibi  SSP 
2  Swaraj  SSP 
3  Ambika Hattaraki  SSP 
4  Yamuna Hiremath  SSP 
5  Pooja Chavan  SSP 
6  Chandrika Mugati  SSP 
7  Akshata S B  SSP 
8  Nagma Tabassum  SSP 
9  Madhumati  SSP 
10  Bhagyashree J .C  SSP 
11  Tejashwini Kodekal  SSP 
12  Deepa Rathod  SSP 
13  Aishwarya S Patil  SSP 
14  Safura Noorin  SSP 
15  Shivani  SSP 
16  Sujata Jain  SSP 
17  Kaveri Sindhu Hiremath  SSP 
18  Ganga Sirsagi  SSP 
19  H Bhagyashree  SSP 
20  Supriya Kumasagi  SSP 
21  Radhika Hiremath  SSP 
22  Sahana Y  SSP 
23  Anjali  SSP 
24  Shweta P H  SSP 
Recognition/Students obtained higher education:
 Homai Irani of B.Sc final year is elected as the VicePresident of student union of the college for the year 202021.
 Miss Homai Irani awarded as THE BEST STUDENT of the year 202021
Students Opted Higher Education
For the year 20172018:
Sl.No  Name of the student  Institute/University  Course 

1  Sudharani  KCT B.ed College  B.Ed 
2  Ayesha Siddiqua  National B.Ed college  B.Ed 
3  Afridi Banu  RKVC bagodar Giridi  B.Ed 
4  Amera Farheen  National B.Ed college  B.Ed 
5  Priyanka Kote  Govt. First Grade college  M.Sc in Mathematics 
6  Sneha  Sharana Basava University, Kalaburagi  M.Sc in Physics 
7  Anjali  Sharana Basava University, Kalaburagi  M.Sc in Physics 
8  Neha  Sharana Basava University, Kalaburagi  M.Sc in Physics 
9  Sana Farheen  Sharana Basava University, Kalaburagi  M.Sc in Physics 
10  Parvati  Sharana Basava University, Kalaburagi  M.Sc in Physics 
For the year 20182019:
Sl.No  Name of the student  Institute/University  Course 

1  Renuka  Sharana Basava University, Kalaburagi  M.Sc in Mathematics 
2  Priti  Sharana Basava University, Kalaburagi  M.Sc in Physics 
3  Priyanka Bharati  GUG  M.Sc in Computer Science 
4  Mehejabeen  CUK  B.Ed 
5  Jyoti S  CUK  B.Ed 
6  Nikhita  Sharana Basava University, Kalaburagi  MCA 
7  Aishwarya Patil  Maharani college Bengaluru  M.Sc in Chemistry 
8  Survarabi  KSWU, Vijayapur  B.Ed 
9  Prasheela  KSWU, Vijayapur  M.Sc in Physics 
10  Priyanka  KSWU, Vijayapur  M.Sc in Physics 
For the year 20192020:
Sl.No  Name of the student  Institute/University  Course 

1  Renuka  Sharana Basava University, Kalaburagi  M.Sc in Mathematics 
2  Priti  Sharana Basava University, Kalaburagi  M.Sc in Physics 
3  Priyanka Bharati  GUG  M.Sc in Computer Science 
4  Mehejabeen  CUK  B.Ed 
5  Jyoti S  CUK  B.Ed 
6  Nikhita  Sharana Basava University, Kalaburagi  MCA 
7  Aishwarya Patil  Maharani College Bengaluru  M.Sc in Chemistry 
8  Survarabi  KSWU, Vijayapur  B.Ed 
9  Prasheela  KSWU, Vijayapur  M.Sc in Physics 
10  Priyanka  KSWU, Vijayapur  M.Sc in Physics 
For the year 20202021:
Sl.No  Name of the student  Institute/University  Course 

1  Shruti Pati  Sharanabasava University, Kalaburagi  MSc Mathematics 
2  Manikeshwari Patil  Sharanabasava University, Kalaburagi  MSc Mathematics 
3  Vidya  Godutai College, Kalaburagi  B.Ed 
4  Kaveri S  Rajkumar Academy Bengaluru  UPSC Coaching 
5  Kaveri J  Sharanabasava University, Kalaburagi  MSc Physics 
6  Homai Irani  Smt.V.G.PG Center For Women’s, Kalaburagi  MSc Physics 
7  Bhavani  KSWU Vijaypura  MSc Mathematics 
8  Bhagya  KSWU Vijaypura  MSc Mathematics 
9  Anasta  Smt.V.G.PG Center For Women’s, Kalaburagi  MSc Physics 
10  Syed Sania  Smt.V.G.PG Center For Women’s, Kalaburagi  MSc Physics 
11  Hema  Smt.V.G.PG Center For Women’s, Kalaburagi  MSc Physics 
12  Archana C  Sharanabasava University, Kalaburagi  MSc Mathematics 
13  Bhoomika R H  Sharanabasava University, Kalaburagi  MSc Mathematics 
14  Shalonika  Govt. Autonomous College, Kalaburagi  MSc Mathematics 
15  Akshata Biradar  Karnataka Science College, Dharwad  MSc Physics 
16  Poornima A H  Sharanabasava University, Kalaburagi  MSc Mathematics 
17  Muskan Ahmedi  Albadar B.Ed College, Kalaburagi  B.Ed 
18  Syeda Neha Kouser  Govt. Autonomous College, Kalaburagi  MSc Physics 
19  Priyanka More  Mahanteshwari Vidyavardhak Sangha Afzalpur  B.Ed 
20  Vidya I.H  Godutai Women’s College, Kalaburagi  B.Ed 
21  Bhavani D K  S B College, Kalaburagi  B.Ed 
22  Mahalaxmi  Godutai Women’s College, Kalaburagi  B.Ed 
23  Bhavani Kallur  Gulbarga University, Kalaburagi  MSc Electronics 
24  Mehvish Tazeen  Govt. First Grade College, Kalaburagi  MSc Mathematics 
25  Sudharani M  Nagambika Women’s College, Kalaburagi  B.Ed 
26  Poornima A H  S.B College, Kalaburagi  MSc Mathematics 
For the year 20212022:
Sl.No  Name of the student  Institute/University  Course 

1  Surekha  Govt.P.G.college, Shahapur  M.Sc in Mathematics 
2  Ayesha Siddiqua  Govt.Womens First Grade .college, Kalaburagi  M.Sc in Mathematics 
3  Prema Pujari  Govt.Womens First Grade .college, Kalaburagi  M.Sc in Mathematics 
4  Pooja Surpur  Central University of Karnataka, Kalaburagi  M.Sc in Mathematics 
5  Sushma S Patil  Sharanabasva University, Kalaburagi  M.Sc in Mathematics 
6  Guri S Patil  Sharanabasva University, Kalaburagi  M.Sc in Mathematics 
7  Afra Tabassum  GUG, Kalaburagi  M.Sc in Mathematics 
8  Neha Parveen  KBN University, Kalaburagi  M.Sc in Chemistry 
9  Soundarya S  Sharanabasva University, Kalaburagi  M.Sc in Physics 
10  Shivani S K  Sharanabasva University, Kalaburagi  M.Sc in Physics 
11  Madiha Tabassum  Sharanabasva University, Kalaburagi  M.Sc in Mathematics 
12  Apoorva  Siddarth college humanabad  B.Ed 
13  Ranjita  IGNOU university  MCA 
14  Daneshwari Biradar  IGNOU university  MCA 
15  Anjali D  VTU  MCA 
16  Sudha  Sharanabasva University, Kalaburagi  M.Sc in Physics 
17  Nandini Nellur  Sharanabasva University, Kalaburagi  M.Sc in Physics 
18  Priyanka  Smt.V.G.college for Women, Kalaburagi  M.Sc in Physics 
19  Arpita Para  IGNOU university  MCA 
20  Umadevi V.K  IGNOU university  MCA 
21  Priyanka R  Sharanabasva University, Kalaburagi  M.Sc in Physics 
22  Soumya Kanni  Dodappa Institute and Technology, Kalaburagi  MCA 
23  T.Lavanya  Sharanabasva University, Kalaburagi  MCA 
24  Kavya C  Smt.V.G.college for Women, Kalaburagi  M.Sc in Physics 
25  Shalini S  Smt.V.G.college for Women, Kalaburagi  M.Sc in Physics 
26  Shreya S  KSAWU, Kalaburagi  MCA 
27  Vijaylaxmi  RCU, Belagavi  M.Sc in Chemistry 
28  Shruti M  New Horizon College of Engineering, Banglore  MCA 
29  Meghana  New Horizon College of Engineering, Banglore  MCA 
30  Madhuri M  Sharanabasva University, Kalaburagi  MBA 
Students List :
Sl. No  Academic Year  Links 

1  201718 

2  201819 

3  201920 

4  202021 

5  202122 

6  202223 

Department categorywise student strength:
YEAR  SC  ST  OBC  GM  TOTAL 

201718  10  1  106  6  123 
201819  8  2  114  5  129 
201920  15  0  109  2  116 
202021  7  1  75  3  86 
202122  7  1  52  4  64 
202223  1  0  32  2  35 
Result analysis:
Year  Appeared  Distinction  Iclass  IIclass  Pass  Pass% 

201718  110  38  48  20  106  96.36 
201819  106  44  40  10  98  92.45 
201920  115  51  38  5  97  84.34 
202021  107  36  36  28  100  93.45 
202122  103  38  35  22  95  92.23 
Program,Program Specific & Course Outcome
After successful completion of three years degree program in mathematics with physics and chemistry combination or with PME or PMCs course a student will be able
PO1  To gain a relational understanding of mathematical concepts, including trigonometry, algebra, and matrixbased problems. Students will be able to follow the methods and patterns involved in mathematical reasoning. 
PO2  To become aware of the past, present, and future roles of mathematics in their life and culture by studying the history of mathematics. 
PO3  To assess the properties of numbers, sequence and series theory, including the summation of trigonometric series. Students will be proficient in applying calculus properties such as tangent, polar subtangent to reallife problems. 
PO4  To utilize different types of canonical groups, analyze, and demonstrate examples of ‘Sylow theorems’ to identify the entire abstract algebraic hierarchy. 
PO5  To understand the concepts of the geometry of scalars, vectors, and divergence mathematically, and apply various advanced mathematical methods to solve engineering problems independently. 
PO6  To employ mathematical knowledge to design, carry out, analyze, and draw conclusions from the results obtained in higher studies. 
PO7  To create awareness of the subject mathematics in society, contributing to sustainable development and instilling a mathematical temperament in students. 
PO8  To use various modern mathematical techniques, decent equipment, and mathematics software to solve highly difficult problems. 
PSO1  To acquire and gain knowledge in different fields of mathematics through theoretical study and presenting seminars and projects. 
PSO2  To recognize and identify several mathematical formulae and solve problems numerically. 
PSO3  To explain in detail about the different symbols, abbreviations, and nomenclature in algebraic, trigonometric, and geometric equations. 
PSO4  To use advanced and modern mathematical tools, models, flow charts, log tables, and equipment. 
PSO5  To develop researchoriented skills. 
PSO6  To be made aware of and how to handle equipment like LCD, smart boards, and mathematical software. 
SEMESTER – V
Course:  Vector Analysis and Laplace Transforms 
After completion of this subject area student will be able
CO1  To write and solve directional derivatives, understand the geometrical meaning of scalar and vectors, and represent them in both Cartesian and cylindrical coordinates. 
CO2  To present expressions for solenoidal, Laplacian, and vector identities mathematically. 
CO3  To apply Green’s, Gauss’, and Stokes’ theorems to solve curvilinear coordinated mathematical problems. 
CO4  To understand various periodic and nonperiodic functions, Fourier series with equal and unequal intervals, and apply Fourier series expansion for various problems. 
CO5  To learn and gain knowledge of Laplace transformations, Heaviside’s unit step function, and convolution theorem. To apply transformation techniques to solve ordinary differential equations of the first and second order. 
Differential Equations – II  
CO1  To identify the nature of a differential equation and solve it by applying series solution methods. 
CO2  To gain knowledge of Legendre and Bessel, two special types of differential equations, and their solution methods. 
CO3  Students will be familiar with the techniques of total differentiation and integration of a function with two or three variables. 
CO4  To identify the type of partial differential equation, and how to form PDE with the elimination of arbitrary constants and functions. 
CO5  To gain knowledge of solving methods for 5 standard types of linear partial differential equations, reduce them to standard form, and solve. 
CO6  To apply the standard Charpit’s method for solving nonlinear partial differential equations. 
Theory of GraphsI
CO1  To know and understand the meaning of a graph, subgraph, null graph, etc. 
CO2  To have knowledge about the degree of a vertex, isomorphism, line graph, and total graph. 
CO3  To identify the nature of different graphs like spanning graph, induced subgraph, walk, trail, path, cycle, and bipartite graphs. 
CO4  To characterize the minimum and maximum degree of a vertex of a graph. To apply graph theory logics to solve shortest path problems. 
CO5  Apply graph theory techniques to represent any graph through matrix presentation. Gain relevant knowledge about the applications of graphs to characterize incidence, adjacency, rank, and cyclic matrices. 
COURSE OUTCOMES B.Sc VI SEMESTER MATHEMATICS
Vector Analysis
After studying this subject discipline student will be able
CO1  To know the classification of different types of errors in number theory and apply them in daytoday life situations. 
CO2  To solve nonlinear algebraic equations by various numerical methods like bisection, NewtonRaphson, and the secant method. 
CO3  To apply standard numerical methods of Gauss Elimination, Jacobi, and Gauss–Seidel to solve nonlinear algebraic equations. 
CO4  To gain knowledge of researchoriented methods of numerical differentiation and numerical integration schemes, Newton’s forward and backward interpolation schemes to solve many engineering and physics problems. 
CO5  To learn and solve fluid mechanical problems by designing them through mathematical modeling and applying numerical integration techniques like Trapezoidal rule, Simpson’s 1/3rd and 3/8th rules, Weddle’s rule, Picard’s method, Euler’s modified method, and Fourth order RungeKutta method. 
Complex Analysis
CO1  To analyze expressions for series of sines, cosines, analytic functions, and types of convergence. 
CO2  To represent conjugate and modules of complex numbers geometrically and pictorially. 
CO3  To apply concepts and consequences of analyticity and CauchyRiemann equations in both Cartesian and Polar form. 
CO4  To calculate and compute complex contour integrals and apply various Cauchyintegral theorems to solve complex trigonometric problems. 
CO5  To extract the knowledge of convergence of improper integrals like Beta and Gamma functions. To apply Sterling formulae, duplication formulae for the evaluation of improper integrals. 
Theory of GraphsII
CO1  To analyze expressions for series of sines, cosines, analytic functions, and types of convergence. 
CO2  To represent conjugate and modules of complex numbers geometrically and pictorially. 
CO3  To apply concepts and consequences of analyticity and CauchyRiemann equations in both Cartesian and Polar form. 
CO4  To calculate and compute complex contour integrals and apply various Cauchyintegral theorems to solve complex trigonometric problems. 
CO5  To extract the knowledge of convergence of improper integrals like Beta and Gamma functions. To apply Sterling formulae, duplication formulae for the evaluation of improper integrals. 
Programme Specific Outcomes (PSOs) for B.Sc. Mathematics
S.No.  On Completing B.Sc Mathematics, the students will be able to: 

PSO 1  Comprehend mathematical principles and their applications in the problems of everyday life. 
PSO 2  Recognize and identify specific mathematical skills for the existing software jobs and for developing new technologies. 
PSO 3  Understand the use of advanced and modern mathematical tools, models, flowcharts, and develop the skills for extensive research. 
PSO 4  Know specific methods to solve mathematical physics and computational fluid dynamics mixed problems so as to model the advanced theories and provide deductions. 
PSO 5  Develop and be aware of analytic and numerical skills for understanding mathematical literature and creating scientific communication in written, audio, and video forms. 
PSO 6  Not only stitch to a fragmented mathematical problem into a complete one but also create insightful solutions in distinct fields of physical, biological, and social science. 
COURSE OUTCOMES DEPARTMENT OF MATHEMATICS
Course Title: Algebra I
Course Code: A230
Course Outcome (CO)  On completing the course the student will be able to  PSOs Addressed  Cognitive Levels 

CO 1  Apply DeMoviers theorem to find the roots of Complex numbers.  1,2,4,5  U, R, Ap 
CO 2  Apply the basic DeMoviers theorem to do some problems and find the solution of equations.  1,3,4,5  U, R, Ap, An 
CO 3  Understand the relations between the roots & coefficients of the general polynomial equation in biquadratic equations.  1,2,3,4,5,6  U, R, Ap, An, E 
CO 4  Analysing the two transformations of equations into another form of three types of equations.  1,2,3,4,5,6  U, R, Ap, An, E 
CO 5  Studying the Echelon and normal form of a matrix and finding the inverse matrix.  1,2,3,4,5,6  U, Ap, An, E 
CO 6  Ability to apply matrix methods to solve systems of linear equations and finding trivial and nontrivial solutions.  1,2,3,4,5,6  U, R, Ap, An, E, C 
Course Code: B230
Course Outcome (CO)  On completing the course the student will be able to  PSOs Addressed  Cognitive Levels 

CO 1  Apply Continuity and Differentiability Concepts Including Hyperbolic Functions.  1,3,4,5  U, R, Ap 
CO 2  Apply Intermediate Mean Value Theorems To Solve mathematical Problems.  1,2,4,5  U, R, Ap, An 
CO 3  Understand the Concept Of Successive Differentiation And Learn Standard Formulas for finding nth Derivatives.  1,2,3,4,5  U, R, Ap, An, E 
CO 4  Understand Leibnitz’s Theorem and Its applications.  1,2,3,4,5,6  U, R, Ap, An, E 
CO 5  Study the functions of more than one independent variable with partial differentiation of higher order.  1,2,3,4,5,6  U, Ap, An, E 
CO 6  Study the total derivative of Implicit functions and Jacobians.  1,2,3,4,5,6  U, R, Ap, An, E, C 
Course code: C230
Course Outcome (CO)  On completing the course the student will be able to  PSOs Addressed  Cognitive Levels 

CO 1  Apply the conceptive definition of Sequences and algebra of convergent sequences.  1,2,4,6  U, R, Ap 
CO 2  Apply the definitions of series, convergence of series – Leibnitz’s rule to solve problems.  1,2,3,5  U, R, Ap, An 
CO 3  Understand the system of polar coordinatespolar tangent & subnormal.  1,2,3,4,5,6  U, R, Ap, An 
CO 4  Study the pedal equation of the curves in cartesian form.  1,2,3,4,5  U, R, Ap, An, E 
CO 5  Analysing the reduction formulas for Standard functions with definite limits.  1,2,3,4,5,6  U, Ap, An, E 
CO 6  Study the differentiation of functions under the integral sign.  1,2,3,4,5,6  U, R, Ap, An, E, C 
Course Code: D230
Course Outcome (CO)  On completing the course the student will be able to  PSOs Addressed  Cognitive Levels 

CO 1  Apply the concept of cyclic groups, Lagrange’s theorem and its consequences.  1,2,4,5  U, R, Ap, An 
CO 2  Apply the proofs of fundamental theorem on homomorphism, isomorphism to illustrate some problems.  1,3,4,5  U, R, Ap, An 
CO 3  Study the differential equations of first order and higher degree.  1,2,3,4,5,6  U, R, Ap, An, E 
CO 4  Study five types of finding the particular integrals of nonhomogeneous differential equations.  1,2,3,4,5,6  U, R, Ap, An, E 
CO 5  Study and understand the hypothesis of line and double integrals and evaluation of double integrals under the given limits and regions.  1,2,3,4,5,6  U, Ap, An, E 
CO 6  Study the triple integrals and its evaluation and change of order of integration.  1,2,3,4,5,6  U, R, Ap, An, E, C 
Course Title: Paper – 5.1 : Fourier series, Laplace transforms & Linear Transformations
Course Code: E250
Course Outcome (CO)  On completing the course the student will be able to  PSOs Addressed  Cognitive Levels 

CO 1  Apply the basic definitions of Fourier series of functions with period 2π & 2L.  1,2,4,5  U, R, Ap 
CO 2  Study Half range sine and cosine expansions.  1,3,4,5  U, R, Ap, An 
CO 3  Study the basic properties of Laplace transformation and finding L.T of standard functions.  1,2,3,4,5  U, R, Ap, An, E 
CO 4  Study L.Ts of periodic functions, Heaviside’s functions, and convolution theorem.  1,2,3,4,5,6  U, R, Ap, E 
CO 5  Study the hypothesis of Linear transformations – Basic concepts, RankNullity theorem, and applying to solve problems.  1,2,4,5,6  U, Ap, An, E 
CO 6  Study to verify the RankNullity theorem in examples and finding the Range and Null space.  1,2,3,4,5,6  U, R, Ap, An, E, C 
Course Title : Paper 5.2 – Differential Equations Course Code: E260
Course Outcome (CO)  On completing the course the student will be able to  PSOs Addressed  Cognitive Levels 

CO 1  Study Linear differential equations of second order with variable Coefficients.  1,2,4,5  U, R, Ap 
CO 2  Study five standard methods of solving differential equations.  1,3,4,5  U, R, Ap, An 
CO 3  Learn Integrability and condition of integrability of total differential equations.  1,2,3,4,5,6  U, R, Ap, E 
CO 4  Study the methods of solving simultaneous differential equations.  1,2,3,4,5  U, R, Ap, An, E 
CO 5  Study the formation of partial differential equations and Lagrange’s linear equations.  1,2,3,5,6  U, Ap, An, E 
CO 6  Study the methods of solving PDE’s of five standard types –Charpit’s method.  1,2,3,4,5,6  U, R, Ap, An, E, C 
Course Title : Paper 5.3 : Series Solutions Improper integrals and Vector analysis Course Code: E270
Course Outcome (CO)  On completing the course the student will be able to  PSOs Addressed  Cognitive Levels 

CO 1  Study series method of solving Legendre differential equation, Generating function & Rodrigues formula.  1,2,3,4,5  U, R, Ap 
CO 2  Study the special series solution method to Solve Bessel’s differential equation & identities.  1,3,4,5  U, R, Ap, An 
CO 3  Study the Improper integrals viz Gamma and Beta functions and Relations between them.  1,2,4,5,6  U, R, Ap, An, E 
CO 4  Study of applying Beta & Gamma functions to evaluate integrals & Duplication formula.  1,2,3,4,5,6  U, R, Ap, An, E 
CO 5  Study the expression formulas of directional derivatives, Solenoidal and Laplacian Vector identities.  1,2,3,4,5  U, Ap, An 
CO 6  Apply Greens, Gauss theorems to solve Curvi linear coordinated mathematical problems.  1,2,3,4,5,6  U, R, Ap, An, E, C 
Course Code: F260
Course Outcome (CO)  On completing the course the student will be able to  PSOs Addressed  Cognitive Levels 

CO 1  To solve nonlinear algebraic equations by various numerical methods like Interval bisection, NewtonRaphson, and RegulaFalsi.  1,2,4,5  U, R, Ap 
CO 2  To apply still standard numerical methods of Gauss Elimination, Jacobi, and Gauss–Seidal to solve nonlinear algebraic equations.  1,2,3,4,5  U, R, Ap, An 
CO 3  To understand and apply Newton’s forward and backward interpolation schemes to solve many engineering and physics problems.  1,2,3,4,5,6  U, R, Ap, An, E 
CO 4  To gain the knowledge of researchoriented methods of numerical differentiation and numerical integration schemes.  1,2,3,4,5  U, R, Ap, An, E 
CO 5  To acquire knowledge of applying Picard’s method and RungeKutta 4th order method in solving initial value problems.  1,2,3,4,5,6  U, Ap, An, E 
CO 6  To acquire the knowledge of homogeneous and nonhomogeneous finite difference equations with constant coefficients.  1,2,3,4,5,6  U, R, Ap, An, E, C 
Course Title : Paper – 6.3 Topology Course Code : F270
Course Outcome (CO)  On completing the course the student will be able to  PSOs Addressed  Cognitive Levels 

CO 1  To solve nonlinear algebraic equations by various numerical methods like Interval bisection, NewtonRaphson, and RegulaFalsi.  1,2,4,5  U, R, Ap 
CO 2  To apply still standard numerical methods of Gauss Elimination, Jacobi, and Gauss–Seidal to solve nonlinear algebraic equations.  1,2,3,4,5  U, R, Ap, An 
CO 3  To understand and apply Newton’s forward and backward interpolation schemes to solve many engineering and physics problems.  1,2,3,4,5,6  U, R, Ap, An, E 
CO 4  To gain the knowledge of researchoriented methods of numerical differentiation and numerical integration schemes.  1,2,3,4,5  U, R, Ap, An, E 
CO 5  To acquire knowledge of applying Picard’s method and RungeKutta 4th order method in solving initial value problems.  1,2,3,4,5,6  U, Ap, An, E 
CO 6  To acquire the knowledge of homogeneous and nonhomogeneous finite difference equations with constant coefficients.  1,2,3,4,5,6  U, R, Ap, An, E, C 
Future Plans
• Organize More Certificate courses.
• To start PG Course in Mathematics.
• Organize Seminars & Conferences .
• Develop Research Activities by applying projects to DST and VGST.