/Mathematics

Mathematics

About the Department:

Department of Mathematics at Arts, Science and Commerce college, Ozar (MIG)
Nashik was established in the year 1984 with the introduction of B.Sc. Mathematics and In
2014, B.Sc.(Mathematics). Mathematics holds an important place in the history of humanity and is valuable to the future of all human beings. The department encourages students to   develop the problem solving, abilities which transcends confine of the field of Mathematics. The teachers adopt techniques such as discussions, and application based examples, software and power point presentations to encourage the students in exploring the subject. Interactive sessions are conducted before the beginning of a new topic or chapter to enable the students to have in-depth knowledge and practical application of the same is taught in an elaborate manner. Student queries and doubts are tackled through tutorials, Home assignments conducted regularly.

 

Vision

            Make our students one of the best users of Mathematics by applying Mathematical

Methods for analysis and understanding the real-life problem situations.

 

Mission

            To promote educational, social, cultural and economic development of the rural students and make them responsible to themselves and others by enabling them to do suitable jobs and lead happy life.

 

 

Objectives of the department

  • To create awareness among students to understand the use of Mathematics.
  • To create interest among students in Mathematical Science.
  • To make Mathematics and study interesting innovative and Fun.
  • To inculcate values such as scientific attitude and Social awareness among students.
  • List of Faculty Member currently working in the Department:
Sr. No. Name of the Faculty Qualification Designation
1. Dr. P.R.Bhadane M.Sc., Ph.D. Assistant Professor and Head
2. Ms. P.K.Yadav M.Sc., B.Ed. Assistant Professor

 

 

  • Faculty Members Served in the Department:
Sr. No. Name of the Faculty Qualification Designation Tenure
1. Prof. S.L.Wagh M.Sc. Professor and Head 1987-2022
2. Mr. Rajnore P.S. M.Sc., SET Assistant Professor 2022-2023

 

Course Offered: 

F.Y.B.Sc.(Mathematics) Choice Based Credit System
S.Y.B.Sc.(Mathematics)
T.Y.B.Sc.(Mathematics)

     

 

At first year of under-graduation, .A student will be able to apply their skills and knowledge, that is, translate information presented verbally into mathematical form, select and use appropriate mathematical formulae or techniques in order to process the information and draw the relevant conclusion.  A student should be made aware of history of mathematics and hence of its past, present and future role as part of our culture.

 

At second year of under-graduation, students will have the sufficient knowledge of fundamental principles, methods and a clear perception of in numerous power of mathematical ideas and tools and know how to use them by modelling, solving and interpreting. Enabling students to develop a positive attitude towards mathematics as an interesting and valuable subject of study.  Enabling students to Gauge the hypothesis, theories, techniques and proofs provided.

 

At third year of under-graduation,  the student’s will understand the broad nature of the subject and developing mathematical tools for continuing further study in various fields of science. Enhancing students’ overall development and to equip them with mathematical modelling abilities, problem solving skills, creative talent and power of communication necessary for various kinds of employment. Enabling students to develop a positive attitude towards mathematics as an interesting and valuable subject of study

Eligibility:

  1. First Year B.Sc.: Higher Secondary School Certificate (10+2) or its equivalent Examination with English and Mathematics; and two of the science subjects such as Physics, Chemistry, Biology, Geography, Geology, etc.
  2. Second Year B.Sc.: Keeping terms of First Year of B. Sc. with Mathematics as one of the subjects.
  3. Third Year B.Sc.: Keeping terms of Second Year of B. Sc. with Mathematics as one of the subjects.

 

 

 

 

  • Structure of F. Y. B. Sc. Mathematics:

           

Paper code Paper Paper title credits Marks
CIA ESE Total
Semester-I
MT 111 I Algebra 2 15 35 50
MT 112 II Calculus- I 2 15 35 50
MT 113 III Mathematics Practical Paper I 1.5 15 35 50
Semester-II
MT 121 I Analytical Geometry 2 15 35 50
MT 122 II Calculus- II 2 15 35 50
MT 123 III Mathematics  Practical Paper II 1.5 15 35 50

 

  • Structure of S. Y. B. Sc. Mathematics:
Paper code Paper Paper title credits Marks
CIA ESE Total
Semester-I
MT 231 I Calculus of Several Variables 2 15 35 50
MT 232 A/ 232B II Numerical Analysis /Graph Theory 2 15 35 50
MT 233 III Mathematics Practical Paper I 2 15 35 50
Semester-II
MT 241 I Linear Algebra 2 15 35 50
MT 242 A/ 242B II Vector Calculus / Dynamical Systems 2 15 35 50
MT 243 III Mathematics  Practical Paper II 2 15 35 50

 

  • Structure of T. Y. B. Sc. Mathematics
Paper code Paper Paper title credits Marks
CIA ESE Total
Semester-I
MT 351 I Metric Spaces 2 15 35 50
MT 352 II Real Analysis I 2 15 35 50
MT 353 III Group Theory 2 15 35 50
MT 354 IV Ordinary Differential Equation 2 15 35 50
 MT 355 A V Operation Research 2 15 35 50
MT 356 C VI Laplace Transform and Fourier series 2 15 35 50
MT 357 VII Practical Lab I : Course on Metric Spaces and Real Analysis I 2 15 35 50
MT 358 VIII Practical Lab II : Course on Group Theory and ordinary Differential Equation 2 15 35 50
MT 359 IX Practical Course Lab-III: DSE-3A and DSE-3B 2 15 35 50
MT 3510 X Programming in Python I 2 15 35 50
MT 3511 XI Latex for scientific Writing 2 15 35 50
Semester-II
MT 361 I Complex Analysis 2 15 35 50
MT 362 II Real analysis II 2 15 35 50
MT 363 III Ring Theory 2 15 35 50
MT 364 IV Partial Differential Equations 2 15 35 50
MT 365 A V Optimization Techniques 2 15 35 50
MT 366 B VI Computational Geometry 2 15 35 50
MT 367 VII Practical Course Lab-I: Complex Analysis and Real Analysis-II 2 15 35 50
MT 368 VIII Practical Course Lab-II: Ring Theory and Partial Differential Equations 2 15 35 50
MT 369 IX Practical Course Lab-III: DSE-6A and DSE-6B 2 15 35 50
MT 3610 X Programming in Python -II 2 15 35 50
MT 3611 XI Mathematics Into Latex 2 15 35 50

 

Main Activities of the Department:

Apart from teaching, faculty members of the department actively take part in co-curricular and extra-curricular activities.

Following is the list of some activities:

  • Celebration of National Mathematics Day
  • Organization of Quiz Competitions
  • Organization of workshops/seminars/webinars
  • Conducts practical on Maxima, LaTex and Python Softwares.
  • Organization of guest lecturers of Eminent
  • Organization of Industrial Visit

 

Achievements of students and Faculty:

Following is the short list of accomplishments:

  • P.R.Bhadane has awarded by P.H.D award in 2022.
  • Presentation and publication of Research Papers in National/International conferences by teachers
  • Received prizes in state level poster competition organized by KTHM college
  • Received prizes in Scientific Poster competition on the occasion of National Science Day

Teaching methods adopted to improve student learning:

  • Chalk and Talk (Lecture Method)
  • ICT: Use of Power Point Presentations, Audio Lectures, Educational CD, Use of software
  • Guest Lectures by Experts
  • Problem solving method
  • Learning through experiments
  • Seminars
  • Classroom discussions
  • Assignments

Research Publication in International Refereed Journals

No. Authors Title Year Journal Name Volume Issue No Place of Publication Publisher ISBN ISSN Pages
1 Bhadane Pradipkumar Raghunath Solution of Advection – Diffusion Equation for Concentration of Pollution and Dissolved Oxygen in the River Water by Elzaki Transform 2016 American Journal of Engineering Research 5 9 India w w w . a j e r . o r g 2320 – 0936 2320 – 0936 6
2 Bhadane Pradipkumar Raghunath Approximate Analytical Solution of Fractional Gas Dynamic Equation by Elzaki Transform Homotopy Perturbation Method 2017 Journal of Basic and Applied Research 20 1 India www.ikpress.org – 2395-3446 8
3 Bhadane Pradipkumar Raghunath Application of Elzaki Transform to System of Linear Differential Equations 2016 Research Journal of Science & IT Management 6 2 India International Journal of Research Publication. – 2251-1563 8
4 Bhadane Pradipkumar Raghunath Approximate Solution of Fractional Black-Schole’s European Option Pricing Equation by Using Elzaki Transform Homotopy Perturbation Method 2020 Nonlinear Functional Analysis and Applications. 25 2 Kyungnam University Press South Korea https://nfaa.kyungnam.ac.kr/journal-nfaa – 1220-1595 14
5 Bhadane Pradipkumar Raghunath Applications of Triple Laplace Transformation to Volterra Integro Partial Differential Equation. 2021 Turkish Journal of Computer and Mathematics Education. 12 13 Punjab, India https://turcomat.org 3089-3093 1309-4653 5
6 Bhadane Pradip Raghunath Analytical Solution of a Fractional Order Biological Population Model using Laplace Adomian Decomposition Method. 2022 Stochastic Modeling & applications 26 3 F-2562, Palam Vihar Gurgaon-122017 (Haryana),INDIA MuK Publications & Distributions – 0972-3641 12

 

 

 

SWOC analysis of the department and Future plans:

Strengths:

  • Qualified and experienced faculty.
  • Well-equipped laboratory.
  • ICT enabled teaching learning facility.
  • Being an interdisciplinary subject, department renders services to various departments.
  • Motivates and prepares students for participating in Quiz competitions
  • Students participate in workshops as well as in conferences.

Weaknesses:

  • Inadequate strength of the students.
  • Unable to provide Post graduation in the Mathematics.

Opportunities

  • To offer M.Sc. in Mathematics.
  • More scope for research work.
  • Availability of jobs for students in nearest School and Colleges and I.T.Sector.
  • They can prepare for Mathematics based competitive exams like M.P.S.C.

& U.P.S.C.

Challenges:

  • Developing skill in our students which helps to progress in Educational and research field.
  • Developing skill in our students which helps to progress in Educational and research field.
  • Providing best foundation to the students desiring to develop carrier in the higher

Education.

  • To develop ecofriendly approach in the students and make them responsible citizens.
  • To develop research attitude among the students in various institutes like IIT and

Others.

 

       Future Plan:

  1. a) Long term plans-

1) To start PG for Mathematics

2) Preparation of virtual learning laboratories

  1. b) Short term plans-

1) To develop departmental library

2) To develop Competitive Examination Culture in College