Mathematics
Program Overview
Vision
Department of high repute to develop innovative and humane engineers by imparting mathematical proficiency to address scientific and engineering challenges.
Mission
- Develop competent faculty towards conveying best in class teaching and learning.
- Facilitate inter disciplinary faculty developments and research.
- Nurture qualities of computation and mathematical skills for solving engineering and technological problems.
- Mould students with value based education to improve their intrinsic standards.
Program Type
Basic Science
Engineering Mathematics with MATLAB
Previous year question paperClick Here
Department Library
Previous year question paperClick Here
E-Books on Engineering Mathematics
1.Advanced engineering mathematics2.Advanced engineering mathematics by ERWIN KREYSZIG
3.Solution Manuals of Advanced engineering Mathematics
4.Applying mathematics to several engineering
5.Alan Jeffrey Advanced Engineering Mathematics
6.Glynn James Advanced Modern Engineering Mathematics
7.Advanced Engineering Mathematics Solutions
8.Basic engineering mathematics fifth edition
9.Higher Engineering Mathematics Sixth Edition
10.Differentiation formulas basic algebraic
11.Basic Engineering Mathematics II
12.Basic Engineering Mathematics-1
13.Advanced Modern Engineering Mathematics by Glynn James
| Sl.No. | Name of Technical Staff | Designation |
|---|---|---|
| 1 | Mahadevu | Helper |
| Sl.No. | Ph.D Awardee | Guide | Title Of The Thesis | Completion Year | University |
|---|---|---|---|---|---|
| 1 | Dr. Puttaswamy | Dr. D. Sonernandappa | "Some Results On Domination And Related Parameters In Graphs" | 2006 | University of Mysore |
| 2 | Dr. B. Shanmukha | Dr. K.S. Harinath | "Certain Application of the Number Theory In Graphs and combinatorics With Emphasis On Network" | 2004 | Bangalore University |
| 3 | Dr. M. Prasad | Dr. K.V. Prasad | "Contribution To The Theory Of Continued Fraction And Modular Equation" | 2018 | VSKU, Bellary |
| 4 | Dr. Nayaka .S.R. | Dr. Puttaswamy | "A Study On Some Problems In The Theory Of Graphs" | 2018 | University Of Mysore |
| 5 | Dr. Sharath G. | Dr. K. R. Vasuki | "A Walkthrough Ramanujan's Garden of Modular Equations and Hypergeometric Series" | 2013 | University Of Mysore |
| Sl.No. | Name | Guide | Title Of The Thesis | Year Of Joining | University | Status |
|---|---|---|---|---|---|---|
| 1 | M.N. Prakasha | Dr. Puttaswamy | Analysing And Augmenting Some Parameter Of Domination Theory And Energy Graph | 2017 | VTU | Course Work Completed |
| 2 | M.R. Harini | Dr. Ranjini P.S. | A Swotup On Assorted Class Of Adriatic Indices | 2017 | VTU | Course Work Completed |
List of Students Registered / Awarded for Ph.D. under the guidance of Dr.Puttaswamy
| Sl.No. | Candidate Name | Title of Thesis | Specialization | Progress Status | University |
|---|---|---|---|---|---|
| 1 | Mohammed Hezam | "A Study Of Domination In Graphs" | Graph Theory | Awarded | Himalayan University |
| 2 | S. R. Nayaka | "A Study On Some Problems In the Theory Of Graphs" | Graph Theory | Awarded | Himalayan University |
| 3 | Purushothama S. | "Some Contribution To The Theory Domination And Energy Of Graphs" | Graph Theory | Awarded | VTU, Belagavi |
| 4 | Bhavya C. A. | "A Study On results in the theory of dominations in graphs" | Graph Theory | Submitted | University Of Mysore |
| 5 | Poojitha R. | "A study on certain aspects in the theory of dominations in graphs" | Graph Theory | Submitted | University Of Mysore |
| 6 | M.N .Prakasha | "Analysing And Augmenting Some Parameter Of Domination Theory And Energy Graph" | Graph Theory | Course Work Completed | VTU, Belagavi |
| 7 | Nanjundaswamy M | "A Study on certain aspects of domination and parameters in Graphs" | Graph Theory | Course Work Completed | University Of Mysore |
| 8 | Ramesha M.S | "A Study on some domination and related concepts in Graphs" | Graph Theory | Course Work Completed | University Of Mysore |
| 9 | Sindhushree MV | "A study on some concepts in Graph Theory" | Graph Theory | Course Work Completed | University Of Mysore |
| 10 | Karthik K R | "Some Contribution to the theory of Graph" | Graph Theory | Course Work Completed | University Of Mysore |
List of Students registered for Ph.D. under the guidance of Dr. B. Shanmukha
| Sl.No. | Candidate Name | Title of Thesis | Specialization | Progress Status | University |
|---|---|---|---|---|---|
| 1 | Swetha H. N | ""A Study of Combinatorial connections and Hamiltonian properties in graph" | GRAPH THEORY | Awarded | VTU, Belagavi |
| 2 | Naba Kumar Goswami | "Mathematical Modeling of Zika Virus Disease" | GT/ODE | Awarded | University of Mysore |
| 3 | Yasien Nafe Ahmed Shawawresh | "Some Studies in the Graph energy and Hub Number of graph" | GRAPH THEORY | Awarded | University Of Mysore |
| 4 | Nithin.J.V | "Study on certain Aspects in Graph Lebelling" | GRAPH THEORY | Course work completed | University Of Mysore |
| 5 | Sowjanya.S.K | "Study on certain Topological indices in the field of Graph Theory " | GRAPH THEORY | Course work completed | University Of Mysore |
| 6 | Abhilash H.C. | "A Study on some results on Energy of Graphs" | GRAPH THEORY | Course Work Completed | University Of Mysore |
| 7 | Anitha.H. | "A Study on some contributions to the Graph Theory" | GRAPH THEORY | Course Work Completed | University Of Mysore |
| 8 | Mohammed B.M Altalla | "A Study of Modified conformable derivative with application to methods of solutions to arbitrary order differential equations" | Differential Equations | Course Work Completed | University Of Mysore |
| 9 | Swaroopa Rani | "A study on some Domination Parameters in Graphs" | GRAPH THEORY | Course Work Completed | University Of Mysore |
| Sl.No. | Faculty Name | No of Research Papers | No. of Conference attended | ||
|---|---|---|---|---|---|
| 1 | National Journals | International Journals | National Journals | International Journals | |
| 2 | Dr. Puttaswamy | 10 | 41 | 03 | 02 |
| 3 | Dr. B. Shanmukha | 02 | 15 | 06 | - |
| 4 | Mr. M. N. Prakasha | - | 01 | 08 | - |
| 5 | Dr. M. Prasad | 03 | 06 | 05 | 06 |
| 6 | Dr. Nayaka .S.R. | 07 | 16 | 09 | 05 |
| 7 | Smt. M. R. Harini | - | - | 03 | 05 |
| 8 | Jeshma Prakruthi K S | - | - | 03 | - |
| 9 | Dr. Sharath G | 01 | 12 | - | 01 |
| 10 | Smt. Hamsashree S. | - | - | 03 | - |
| 11 | Smt. Shruthi R. | - | - | - | - |
Faculty Achievements
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Dr. PUTTASWAMY
- Professor and Head
- prof.puttaswamy@gmail.com
- M.Sc., Ph.D
- Graph Theory
- Puttaswamy, R.Poojitha (2020) "On Skew-Quotient of Randic' and Sum-Connectivity Energy of Digraphs ", Math.Combin.Book Ser. Vol.3, 69-82.
- Puttaswamy, Bhavya C. A. (2020) "On Quotient of Randic' and Sum-Connectivity Energy of Graphs", Math.Combin.Book Ser. Vol.2, 88-100.
- Purushothama §, Puttaswamy and Nayaka S R (2020),Pendant Domination in double Graph, Proceedings of Jangjeon Mathematical Society (PJMS), Volume 23 (2), (April).
- Nayaka § R ,Puttaswamy and Purushothama S, (2020)Pendant Domination in Graphs, Journal of Combinatorial Mathematics and Combinatorial Computing, pp. 2019-230.Vol. 112,lssue.1 pages 219-229.
National / International Journals
Dr. B. SHANMUKHA
- Associate Professor
- drbsk_shan@yahoo.com
- M.Sc.
- M.Phil.
- PGDCA.
- Ph.D.
- Graph Theory
- Fluid dynamics
- Modeling
- Naba kumar Goswami and Shanmukha.B. July 2020 "Modeling and Analysis of Symptomatic and Asymptomatic Infections of Zika Virus Diseas With Non- Monotonic Incidence Rate, Appl.Math.Inf.Sci.14, No.4,655-671, Published online.http://dx.doi.org/10.18576/amis/140414,|SSN (P):1935-0090, ISSN (0): 2325- 0399.
- Naba kumar Goswami and Shanmukha.B. 2020 "Stability and optimal control analysis of Zika virus with saturated incidence rate", Malaya Journal of Matematik, Vol. 8, No.2, 331-342, https://doi.org/10.26637/MJM0802/0004,|SSN(P):2319-3786,ISSN(O):2321-5666.
- Naba kumar Goswami and Shanmukha.B. 2020, "A Mathematical Analysis of zika virus Transmission with Optimal Control Strategies Computational Methods for Differential Equations" Vol, No, 1-29,http://cmde.tabrizu.ac.ir,DO1:10.22034/cmde.2019.34715.1585, ISSN (P)2345-3982, ISSN (0) 2383-2533
National / International Journals
Dr.PRAKASHA.M.N
- Assistant Professor
- shobithprakash@gmail.com
- M.Sc
- M.Phil
- B.Ed
- Ph.d
- Graph Theory
National / International Journals
1)A research article title "Laplacian Minimum Pendant Dominating Partition Energy of a Graph"
Journal: Tuijin Jishu/Journal of Propulsion Technology, Volume 45, Issue 1 Page no. 2592-
2601, year-2024.
DOI:https://www.propulsiontechjournal.com/index.php/journal/article/view/4628/3136,
Cite Factor: 0.754
2) A research article title "Minimum Pendant Dominating Partition Energy of a Graph"
Journal: Indian Journal of Science and Technology, Volume 16, Issue 37 Page no. 3159-3167,
year-2023. DOI: 10.17485/IJST/v1637.1819
3) A research article title "Isolated Domination Polynomial of a Graph"
Journal: International Journal of Mathematics And its Applications, Volume 8, Issue 4, Page no.
69-73, year-2020,
DOI: https://oaji.net/articles/2021/1167-1622181394.pdf,
Impact Factor: 4.96
Dr. M. PRASAD
- Assistant Professor
- prasad@pesce.ac.in
- M.Sc.,Ph.D.
- Number Theory
- M. Prasad and K.V. Prasad, 2020 "Congruence for (4,5)- regular bipartitions into distinct parts", South East Asian J. of Mathematics and Mathematical Sciences Vol. 16, No. 2 (2020), pp. 161-178
- M. Prasad, July 2020, "On (2,5)-regular bipartitions with odd parts distinct", Proceedings of the Jangjeon Mathematical Society 23(3) PP: 361-375
- M. Prasad and K.V Prasad, 12th, April 2018 "Certain identities for a continued fraction of order six", Palestine Journal of Mathematics, Vol. 7(2)(2018) , PP: 608-619, ISSN 2219-5688.
National / International Journals
Dr. NAYAKA S.R.
- Assistant Professor
- nayaka.abhi11@gmail.com
- B. Sc.
- M.Sc.
- S.E.T.
- N.E.T.
- Ph.D.
- Graph Theory
- Nayaka S.R., Anwar Alwardi and Puttaswamy, (2020) "Transversal Total Domination in Graphs", JCMCC, 112, pp. 231-240.
- Nayaka S R, Puttaswamy and Purushothama S, (2020) "Pendant Domination in Graphs", JCMCC, 112, pp.219-229.
- Purushothama §, Puttaswamy and Nayaka S R, (2020) "Pendant Domination in Double Graphs", Proceedings of the Jangjeon Mathematical Society Volume 23, No. 2, pp. 223 - 230.
National / International Journals
| Sl.No. | USN | Candidate Name | Candidate Type | Guide Type | Category | Candidate Status |
| 1 | 4PS22PMA01 | MAHADEVASWAMY | PART TIME | Guide | OTHER | REGISTERED |
| 2 | 4PS23PMA02 | ARUNASHREE K S | PART TIME | Guide | OTHER | REGISTERED |
SMT. M.R. HARINI
- Assistant Professor
- harinimrmaha@gmail.com
- M.Sc., (Ph.D.)
- Graph Theory
SMT. JESHMA PRAKRUTHI K. S.
- Assistant Professor
- jeshmaks@gmail.com
- M.Sc.
- B.Ed.
- K-SET
- Number Theory
Dr. G. SHARATH
- Assistant Professor
- sharathg@pesce.ac.in
- M.Sc.
- Ph.D.
- q-series and Modular Equations
- Some Somo's Theta Function Identities of Level 6 and Application to Partitions, Publications de I 'Institut Mathématique, 108(121) (2020), 137-144, (with B. R. Srivatsa Kumar), DOI: https://doi.org/10.2298/PIM2022137S
National / International Journals
SMT. SHRUTHI R.
- Assistant Professor
- shruthir@pesce.ac.in
- M.Sc.
- B.Ed.
- Graph Theory
- Number Theory
SMT. VIDYASHREE S.
- Assistant Professor
- vidyashree@pesce.ac.in
- M .Sc.
- B. Ed.
KUM. VARSHITHA N. N.
- Assistant Professor
- Varshitha@pesce.ac.in
- M. Sc.
KUM. BHUMICA .N.
- Assistant Professor
- bhumica@pesce.ac.in
- M. Sc.
- Random Process
- Probability and Statistics
KUM. POOJA .K. Y.
- Assistant Professor
- kypooja21@gmail.com
- M. Sc.
- B. Ed.