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DEPARTMENT OF MATHEMATICS

DEPARTMENT OF MATHEMATICS

a. About Department (History) –

The subject Mathematics was started in 1968 in the college. The department has contributed to the glories of history of the institute in the unique distinguished manner. Under the leadership of Mr. S. D. Khatod and in co-operation with lecturers Mr. I. L. Nagare, we are especially happy that students of Mathematics have excelled in different types of exams such as NET/SET, Banking, MPSC etc. The students of the departments are mainly working as mathematics teachers in this area. After his retirement, Mr. I. L. Nagare took charge of headship.  In the year 2005, Dr. A. D. Kadam and Dr. S. P. Hatkar joined to the department and after the retirement of Mr. I. L. Nagare, Dr. A. D. Kadam took the charge of the headship till September 2022.  Currently Dr. S. P. Hatkar is head of department and Two CHB faculties are working in the department.

Dr. Sachin Hatkar has been recognized as Research Supervisor by Swami Ramanand Teerth Marathwada University Nanded and one student is submitted his Ph.D. thesis and three students are working under his guidance. Department of Mathematics participate in various activities like seminar competition, guest lecture, certificate course. Dr. Sachin Hatkar has developed E-content and published the same through the e-platform like You tube.

b. Aims and Objectives of the Department–

  • To provide a solid education in the basic subjects of mathematical knowledge and its application
  • Knowledge of mathematical research and ability to communicate mathematical ideas and concepts with clarity and coherence.
  • Ability to generalization, abstraction, logical reasoning to be familiar with proof techniques and know how to apply the logic in mathematical proofs.
  • To provide the knowledge of mathematical software’s and its applications.
  • Ability to formulate and solve problems including mathematical modeling of real situations.
  • Qualities of individual work and ability to work in teams.

c. Course Outcomes

  • Understanding concept of limit, continuity of single and two variable functions, mean value theorem concept, concept of partial differentiation.
  • Find the higher order derivatives of product of functions, equation of tangent, normal and length of tangent, normal sub-tangent, sub-normal.
  • Expand functions of in terms of infinite series.
  • Add, subtract, multiply two matrices. Find inverse of matrices, Characteristic roots and transform matrix to row echelon form
  • Apply method of integration to find the integral of functions. Find the area and volume of the given shape. Understanding concept of Gamma and Beta function.
  • Understanding concept of three-dimensional geometry, intersection of two- or three-dimensional geometrical figure. Find the right line, planes, spheres, cones cylinders, Transform the equation of a plane or the normal form.
  • Understanding concept of sets and their properties, limit of points of a set, closed set closure of a set, neighbourhood of a point, interior of point of a set, sequences, series, types of series.
  • Understand the concept of group, cyclic group, quotient group.
  • Understand the concept of ordinary and partial differential equations and different types of methods of differential equations. Learner will able to solve differential equations.
  • Understand the concept of Riemannian integral, improper integral.
  • Understand the concept of ring, isomorphic ring, principal ring, Euclidean ring.
  • Understand the concept of metric space, convergence, completeness, fixed point, Banach principle.
  • Understand the concept of vector spaces, dimensions, rank, nullity linear transformation, eigen values and eigen vectors.
  • Find the missing term of given data, integration of a functions using numerical methods, solutions of differential equations,
  • Operate basic mathematical operations with complex numbers, Find limit, derivative, integration of complex number.
  • Understand the concept of integral transforms.
  • Explain concept of divisibility, greatest common divisor, congruences, prime numbers, Diophantine equations, Euclidean algorithm, Chines remainder theorem.

d. Future Plans -

  • To organize the Certificate and Value-Added Courses.
  • To organize the Guest Lectures of Eminent Personalities.
  • To establish the MoUs with different institutions and organizations and undertake the various activities.
  • To develop some innovative material for students to overcome their basic errors and build confidence in Mathematics skills.
  • To start P.G. course
  • To organize National level conference.

 

Faculties

Sr. No.

Name of the Faculty

Date of Appointment

Designation

Qualification

Contact Information

1

Dr. Sachin Hatkar

01/04/2005

Head & Associate Professor

M. Sc. M. Phil., Ph. D.

schnhakar@gmail.com

8805499012

2

Mr. Khushal P. Rathod

07/07/2023

Assistant Professor (CHB)

M.Sc., B.Ed., SET

rathodkp97@gmail.com

7385839797

3

Mr. Sachin S. Kedar

10/07/2023

Assistant Professor (CHB)

M. Sc., B.Ed., SET

sachinkedar96@gmail.com

8055450019

Program and Course

Sr. No.

Class

Semester

Paper No

Title of the Paper

01

B.SC. I

I

I

Calculus I

I

II

Algebra and Trigonometry

II

III

Calculus II

II

IV

Geometry

Annual

V

Practical on MATLAB

02

B.SC. II

III

VI

Real Analysis I

III

VII

Group Theory

III

VIII

Ordinary Differential Equations

 

III

I

SEC –I

IV

IX

Real Analysis II

IV

X

Ring Theory

IV

XI

Partial Differential Equations

IV

II

SEC –II

03

B.SC. III

V

XII

Metric spaces

V

XIII

Linear Algebra

V

XIV

Numerical Analysis

V

III

SEC – working with PDE using Mathematical software

VI

XV

Complex Analysis

VI

XVI

Integral transform

VI

XVII

Elementary Number Theory

VI

IV

SEC – Solving Problems in Numerical Analysis using Mathematical software

ACTIVITIES CONDUCTED (CURRICULAR & CO-CURRICULAR)

  1. Certificate Course in Basic Mathematics
  2. Vidyarthi Ganit Mandal
  3.  Participation in University level seminar competition
  4. Guest Lecture
  5. Conduction and Participation of Madhava Mathematics competition in collaboration with S.P. College, TIFR, NBHM

Research

  1. MINOR RESEARCH PROJECTS –

    2. Sr. No.

    Name of the Faculty

    Date of Sanction

    Sponsoring Agency

    Amount

    Status

    1

    Dr. Sachin Hatkar

    17/06/2022

    S. R. T. M. University, Nanded

    55,000/-

    Ongoing
  2. PH. D. GUIDANCE –

    3. Sr. No.

    Name of the Faculty

    Name of the Students

    Date of Allocation

    Title of the Thesis

    Current Status

    Date of Award

    01

    Dr. Sachin Hatkar

    Mr. Nagnath S. Amberkhane

    29/01/2022

    Study of some finite hyperbolic transforms

    Submitted

    ---

    Mr. Gajanan D. Karhale

    12/07/2021

    Exploration of Accelerating cosmological models in Modified Theories of Gravitation

    Ongoing

    ---

    Mr. Prashant A. Agre

    12/07/2021

    Speculation of some anisotropic cosmological models in Modified theories of gravitation

    Ongoing

    ---

    Ms. Deepali C. Pohare

    12/07/2021

    Glimpses of cosmic expansion of the universe in modified theories of gravitation

    Ongoing

    ---
  3. RESEARCH PAPERS PUBLISHED IN JOURNALS

    4. Sr. No.

    Name of the Faculty

    Title of the Paper with Page No

    Name of the Journal with Issue No and Date

    ISSN No

    01

    Dr. Sachin P. Hatkar

    Quark matter coupled

     to domain wall in

    Bianchi type II, VIII

    and IX universe

    619-630

    Pramana J. Physics

    Vol.83, No.4,2014

     

    ISSN0304-4289

     

     

    Homogeneous

    hypersurface space

     time with anisotropic

    dark energy in Brans-

    Dicke theory of gravitation,768-774

    Communication in Theor. Physics

    Vol.62, No.5,2014

    ISSN0253-6102

     

     

    Unified Description of

     Bianchi type I in f(R)

    Gravity, 409-427

    Foundation of physics 45(4),2016

    ISSN0015-9018

     

     

    Domain wall

    cosmological models

    with deceleration

    parameter in modified

    theory of gravitation, 563-573

    Chinese journal of physics 54 (4),2016

     

    ISSN0577-9073

     

     

    Hypersurface

    homogeneous

    cosmological models

    in modified theory of

     gravitation,525-539

    Astrophysics Journal 59(4),2016

     

    0571-7256

     

     

    Domain walls in f(R,T)

    theory of gravitation

    3654-3664

    International J. Theor. Physics 54(10),2015

    0020-7748

     

     

    Stability of strange

    quark matter 

    cosmology in modified

     theory of gravitation

    Pre-space time journal of physics

    8(2),2017

     

     ISSN:2153-8301

     

     

    Some special solutions

     in Bianchi type VI0

    cosmological models

    with modified

    chaplygin gas in

    general relativity

    International journal of modern physics D.Vol.24 No.2,1550017,2015

     

    ISSN0218-2718

     

     

    Kaluza Klein universe

    with magnetized

    anisotropic dark

    energy in general

    relativity and Lyra manifold, 172-177

    New Astronomy

    Vol.34,2015

     

    ISSN1384-1076

     

     

    Strange quark matter

    coupled to string cloud

    in Lyra geometry

    Astrophysics Space Sci.

    357,55,2015

    ISSN 0004-640X

     

     

    Magnetized anisotropic

     dark energy 

    cosmological models

     in scale covariant

    theory of gravitation

    International J. modern physics D

    Vol.23No.7,1450064,2014

     

    ISSN0218-2718

     

     

    Two fluids

    cosmological models

    in f(R) theory of

    gravitation, 243-252

    Indian journal of physics 90(2),2016.

     

    ISSN0973-1458

     

     

    Bianchi type III and

    Kantowski-Sachs

    Cosmological models

    in f(R, T) theory of

    gravitation

    Progress of Theoretical and Experimental physics

    033E01,2016

     

    ISSN0033-068X

     

     

    Cosmology of string

    bulk viscosity in f(G) theory of gravitation

    International Journal of Geometric Methods in Modern Physics

    Vol. 15, No. 7 (2018) 1850116 (12 pages)

    ISSN0219-8878

     

     

    Anisotropic bulk

    viscous string

    cosmological models with heat flux

    Journal for Foundations and Applications of Physics, vol. 5, No. 2 (2018)

    ISSN 2394-3688

    92

     

     

    Magnetized Anisotropic Dark Energy with Specific Expansion, 467-484

    Prespacetime Journal

    March 2016 | Volume 7 | Issue 3

    ISSN: 2153-8301

     

     

     Bianchi type VIII cosmological model with perfect fluid in   f(R,T) theory of gravitation, 1-5 

    International Journal of

    Mathematical Archive-4(11), 2013

    ISSN 2229 – 5046

     

     

     Decelerating and accelerating Bianchi type–VI 0 vacuum universe in f(R) gravity, 52-60

    International Journal of

    Mathematical Archive-4(9), 2013

    ISSN 2229 – 5046

     

     

     Bianchi Type-IX Universe with Perfect Fluid in f(R, T)

    Modified Theory of Gravitation, 959-965

     Prespacetime Journal

     November 2013

    Volume 4 | Issue 10

    ISSN: 2153-8301

     

     

    Bianchi type II universe with binary mixture of perfect fluid and

    Dark energy in f (R, T) theory of gravitation

    Multilogic in Science

    Vol II, Issue VII Jan 2014

    ISSN 2277-7601

     

     

    Bianchi type III cosmological model with bulk viscosity and heat flux in f(R, T) modified  theory of gravitation, 107-116

    Bul.J.phys.

    46,2019

    ISSN1314-2666

     

     

    Dark energy Scenario in metric f(R) formalism

    Foundation of physics

    49,3,2019

    ISSN0015-9018

     

     

    Magnetized anisotropic dark energy models in f(R) theory, 45-60

    Indian Journal of Phys. and application

    Vol.4no01,2019.

    ISBN2347-3991

     

     

     Magnetized anisotropic dark energy in the spherically symmetric space time admitting conformal motion, 78-89

    Prespacetime journal

    Vol.10, issue 1,2019

    ISSN: 2153-8301

     

     

    Zero mass scalar field with homogeneous hypersurface space time in f(R, T) theory of gravitation

    Review of Research

    Vol.1,iss.02,2019

    ISSN2249-894X

     

     

    Kasner type magnetized string cosmological models in f(R,T) gravity, 1-11

    Serbian Astronomical Journal

    197,2018

    ISSN1820-9289

     

     

    Viscous Anisotropic dark energy cosmological model, 67-77

    J Innovation science and sustainable technology 3(2),2023

     

     

     

    Viscous holographic dark energy in Brans-Dicke theory of gravitation

    Astrophysics space science

    Vol.3657,2020

    ISSN 0004-640X

     

     

    Anisotropic hypersurface homogeneous with bulk viscosity in f(R) gravity

    International journal of Mathematical sciences and engineering applications.

    ISSN 0973-9424

     

     

    Bianchi I quark and strange quark cosmological models in f(G) theory of gravitation,59-74

    Bulgarian journal of physics

    2020 Vol. 46

    1310– 0157

     

     

    Bianchi type I cosmological model with perfect fluid and string in f(T) theory of gravitation

    International journal of modern physics D 2020 2020, 18

    0218- 2718

     

     

    Spherically symmetric viscous cosmology in Brans–Dicke theory,1-9

    Pramana Journal of physcis 2023 97

    03044289

     

     

    Electromagnetized modified chaplygin gas in Bianchi type IX universe,3995-4006

    Indian Journal of physics 2022 96

    0974- 9845

     

     

    Variable relation between string densities,1-6

    New Astronomy 2021, 85

    1384- 1076

     

     

    Exponential Transform of Some Special Functions,54-59

    International Journal of Mathematics Trends and Technology 2022 68

    2231- 5373

     

     

    Two Fluids Cosmological Models in Scale Covariant Theory of Gravitation, 1-10

    Annals of applied sciences 2022 1

    2835- 6896

     

     

    FRW DOMAIN WALLS IN MODIFIED f (G) THEORY OF GRAVITATION, 119-132

    Astrophysics journal 2021 64 119- 132

    0571- 7256

     

     

    Accelerating Kaluza-Klein Universe in Modified Theory of Gravitation, 109-124

    Astrophysics 2023 66

    0571- 7256

     

     

    Bulk Viscous with Zero Mass Scalar Field and Magnetism in f(R, T) Gravity, 265-275

    Prespacetime journal 2021, 12

    2153- 8301

     

     

    Decelerating Kasner Bianchi Type I Viscous Cosmological Models in f(R, T) Theory, 200-204

    Prespacetime journal 2022, 13

    2153- 8301

     

     

    Glimpses of Anisotropic Chaplygin gas, 62-68

    Parakh 2022, 4

    2395

     

     

    Viscous Modified Chaplygin gas in theories of gravitation, 97-106

    Physics AUC 2020, 30

    1223- 6039

     

     

    Kaluza-Klein Cosmological Models with Polytropic Equation of State in Lyra Geometry, 17-26

    Prespacetime journal 2020 ,11

    2153- 8301

     

     

    Anisotropic dark energy embedding viscosity in scalar tensor theories, 114-123

    Physics AUC 2022, 32

    1223- 6039

     

     

    Rashtriya Shaikshnik dhoran 2020: ek mukt chintan

    B Aadhar Jan.2020,386 E

    2278-9308

     

     

    Some results and applications of the exponential transform,2141-2154

    Advaances and Applications in Mathematical Sciences Vol.22, Issue 10, 2023

    0974-6803
  4. BOOKS / BOOK CHAPTERS PUBLISHED –

    5. Sr. No.

    Name of the Faculty

    Title of the Book / Book Chapter with page no

    Name of the Publisher with year

    ISBN No

    01

    Dr. Sachin P. Hatkar

    Accelerating Bianchi type II, VIII & IX cosmological model in f(R) gravity

    7-8

    Proceedings of International Conference of ‘Benchmarks in Engineering Science and Technology’(IC-BEST) Sept. 2012

     

     

     

    Magnetized variable modified chaplygin gas in f(R) theory of gravitation

    Proceedings of Einstein foundation International

    vol.12,2013

    978-81-88763-62-7

     

     

    Hypersurface homogeneous cosmological model in scale invariant theory

    Jamal Academic research journal an interdisciplinary

     

    ISSN0973-0303

     

     

    Dynamics of two fluid viscous dark energy Bianchi type II cosmological models in f(R) theory of gravitation

    Astitva Prakashan, Bilaspur, Chhattisgarh

    978-93-95300-45-2

     

     

    An Introduction to Linear Algebra

    Zorba Publication

    9789390011407
  5. PAPER PRESENTED IN CONFERENCE / SEMINAR –

    6. Sr. No.

    Name of the Faculty

    Title of the Paper

    Organized by

    Date

    Level

    01

    Dr. Sachin P. Hatkar

    Bianchi type VI cosmological models with modified chaplygin gas

    IMS & SRTMU NANDED

    27-30/12/2011

    International

     

     

    Bibary mixture of perfect fluid and dark energy in Bianchi type IX universe

    GSG College

    Umerkhed

    21/09/2013

    National

     

     

    Study of cosmological models in f(R) theory of gravitation

    GSG College

    Umerkhed

    21/09/2013

    National

     

     

    Anisotropic Homogeneous hypersurface with bulk viscosity in f(R) gravity

    Science college

     Nagpure

    28-30/12/2012

    International

     

     

    Stability of Bulk Viscous string cosmological models with heat flux in self creation theory of gravitation

    Khalsa College Patiala

    19-21/03/2015

    International

     

     

    Magnetized anisotropic dark energy energy admitting conformal motion

    MIT Engineering

    college Alandi Pune

    5-6/6/2014

    National

     

     

    Stability of strange quark matter cosmology in modified theory of gravitation

    Bapurao

    Deshmukh

    College of

    Eng. Sevagram

    12/4/2016

    International

     

     

    Domain Walls cosmological models with Deceleration Parameter in Modified theory ofgravitation

    Dept of Math.

    SGBAU

    Amravati

    25-28/11/2015

    International

     

     

    Bianchi type III and Kantowski Sachs domain walls cosmological models in f(R,T) theory of gravitation

    Mungasaji Maharaj

    Mahavidyalaya

    Darwha

    12-13/09/2015

    National

     

     

    Two Fluid cosmological models in Scale covariant theory of gravitation

    Mungasaji Maharaj

    Mahavidyalaya

    Darwha

    12-13/09/2015

    National

     

     

    Bianchi type III holographic dark energy cosmological model in Brans Dicke theory of gravitation

    Sant Gadge Baba

    Amravati University

    17-18/06/2016

    National

     

     

    Cosmological consequences of magnetized string in Kasner Universe

    Dayanand

    Science college, Latur

    5-7/3/2017

    International

     

     

    Cosmological consequences of cosmic string in f(T) theory of gravitation

    Osmania

    University Hyderabad

    14-16/07/2017

    International

     

     

    Bianchi type I quark and strange quark cosmological models in f(G) theory of gravitation

     

    Innani mahavidyalaya Karanja

    22-23/03/2018

    International

     

     

    Cosmology of string bulk viscosity in f(G) theory of gravitation

    Dr.Babasaheb

     Ambedkar Marathwada University

    9-11/12/2017

    International

     

     

    Dynamics of Bianchi type II,VIII and IX universe

    MIT Engineering

    college Alandi Pune

    6-7/6/2013

    National

     

     

    Dark energy scenario in metric f(R) formalism

    Andhra University Visakhapatanam

    28 Feb-1 March 2019

    International

     

     

    Reconstruction of FRW cosmological models in f(R,T) theory of gravitation

    RSTM University Nagpur

    20-23/01/2014

    International

     

     

    Electromagnetized Modified Chaplygin Gas in Bianchi type IX Universe

    Department of Mathematics, BITS-Pilani, Hyderabad Campus

    26-28/10/2021

    International

     

     

    Decelerating Kasner type Bianchi type I viscous cosmological models in f(R, T) theory

    Indira Gandhi Kala Mahavidyalaya, Ralegaon, Dist. Yavatmal

    28/09/2021

    National

     

     

    Viscous modified Chaplygin gas in theories of gravitation

    Sant Gadge Baba Amravati University and R.D.I.K & K. D. College, Badnera-Amravati

    27/03/2021

    National

     

     

    Repercussion of parameterization on domain walls in modified theory of gravitation

    Shri Datta arts, commerce and science college Hadgaon

    12/05/2021

    National
  6. ANY OTHER (AWARDS) –

    7. Sr. No.

    Name

    Award

    Awarding Agency

    Date

    01

    Dr. Sachin P. Hatkar

    Dr. Sarvepalli Raadhakrishnan distinguished assistant professor and research award 2023

    Centre for professional continuous education

    5 Sept.2023

     

     

    Avishkar Achievers award 2023

    Avishkar foundation solapur

    5 Sept.2023

     

     

    Best NSS program officer award

    SRTMU Nanded

    10 April 2023

Photo Gallery:

E-CONTENT LINK

  • Sachin P. Hatkar

YouTube Channel Link

SWOC ANALYSIS –

Strength:

  • Experienced staff.
  • Mathematical software’s like MATLAB, SCILAB used for teaching and learning process.
  • Association of Mathematical student board for various academic activities.
  • Preparatory competition examination for interdisciplinary students.
  • IOT and ICT facilities.
  • Research papers with Thomson router impact factor.
  • Participation in skill-based curriculum design.

 

Weakness:

  • Technology upgrade (internet and devices)
  • G courses
  • Requirement of permanent full-time faculty
  • Lack of non-teaching staff and a lab assistant.

 

Opportunity:

  • Wide higher education option
  • Establish the Alumni association
  • Student internship program.
  • Exchange meaningful information with other institutions.

Challenges:

  • To increase students’ strength in subject.
  • To remove phobia about subject.
  • To reduce the dropout and promote interest and motivation among students.

Contact Us

Arts, Commerce & Science College, Hingoli,
Tq. Hingoli, Dist. Hingoli, Maharashtra -INDIA.
PIN - 431513
adarshcollege208@gmail.com


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