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Department Profile Name of the Department: Department of Mathematics

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Department Profile Name of the Department: Department of Mathematics Department Profile Name of the Department: Department of Mathematics 1) From the Desk of Head in 200 words The Department of Mathematics was established in year 1964. Dr. K. Nirmala was the first head of the department. Initially it started M.Sc. M.Phil. and Ph.D. programs. In 2008 the department started a unique course M.Sc. Tech in Mathematics. The main objective of this course was to meet the requirements of IT industry. The department is having its own building along with modern infrastructure like Library, Computer Lab, smart boards and Wi Fi connection. There are 8 faculty members actively engaged in the teaching, research and extension activities. Department has been offering courses in Pure and Applied Mathematics for many years. The current topics of interest in the Department are Discrete Mathematics, Dynamical System, Differential Equations, Classical Mechanics, Fluid Dynamics. Right from the inception of the department teachers were actively engaged in the research. Many of them have completed major and minor research projects funded by UGC. The present teaching faculties are also having research projects funded by DST, SERB, CSIR, NBHM. All the faculty members are having research publications in the reputed National and international journals. The department is organizing Conferences, workshops and short-term training programs regularly. In the last five years the department has organized two national conferences and two workshops of one-week duration for Teaching faculties and students. Department is having active NSS unit since 2016 and every year this unit conducts Blood donation camp, tree plantation, campus cleaning program and so on. The department has made the continuous progress since its inception. 2) Brief History of the department along with present focus in academic & research – 150 words. The Department of Mathematics started functioning in the year 1964. The lecturing were initially held in Gokhale College. Prof. K. Nirmala was the first Head of the Department. The other staff member were Prof. Waghmare, Prof. T. H. Date, Prof. Tagare, Prof. K. K .Deshpande and Prof. Murdeshwar contributed to the department at the initial stage. The lectures were held in the University campus from 1967-68. In 1982 the Department was shifted to the present building. Prof. L. Radhakrishna (1969-1975, 1984-1996), Prof. B. R. Bhonsle (1975-1977), Prof. R. K. Saxena (1978-1984), Prof. G. G. Asgekar (1996-1997, 2000-2001), Prof. H. V. Kumbhojkar (a first batch student) (1997-2000), Prof. M. S. Chaudhary (2001-2004, 2007-2009), Prof. (Mrs.) Y. S. Pawar (2004-2007, 2010), Dr. L. N. Katkar (2010-2013, 2016-2017), Prof.(Mrs.) S. H. Thakar (2013-2016, 2017- till the date) have been the Heads of the Department. Since 2009, the Department has started new M.Sc Tech course of 3 years duration. The Department has produced more than 85 Ph.D and 105 M.Phil students. The Department has organized several training programs, workshops, seminars, student carnival and conferences. Eminent mathematicians such as Jayant Naralikar, Dr. Ahuja, S. S. Abhyankar, Abhay Ashtekar have visited the Department. The Department has NBHM funded Library consisting 4563 books. 3) Vision: The vision of the Department is to be a premier institute of higher learning and research in Mathematics at National and International levels. 4) Mission: To prepare excellent academicians and software developers to cater for the needs of academic institutes and industries. 5) Core Values of the Departments. Morality and ethics Professionalism and integrity Openness and transparency Creativity and innovativeness Service to society Student counseling 6) Academic Programs offered with Intake. Academic Program Intake M.Sc. (Mathematics) 60 M.Sc. Tech (Mathematics) 30 M.Phil. As per the intake shown by research Ph.D. guides 7) Outcome base Education a. Program Education Objectives A) M.Sc. (Mathematics) 1. To solve the problems in mass and heat transfer by using the methods on partial differential equations. 2. To train the students to handle the differentiation and integration in higher dimensions. 3. To solve real-life problems using numerical and wavelet analysis. 4. To use mathematical software to analyze the dynamical systems. 5. To study abstract structures. 6. To develop logical thinking. B) M.Sc. Tech (Mathematics) 1. Identify the central role of concurrency in systems programming and produce programs which generate and control a process, establish relationship and communication between multiple processes 2. Develop short system utilities and applications using system calls 3. To train the students to handle the differentiation and integration in higher dimensions. 4. To study abstract structures. 5. Design automata, regular expressions and context-free grammars for accepting or generating a certain language b. Programme Outcomes A) M.Sc. (Mathematics) 1. To develop problem-solving skills and apply them independently to problems in pure and applied mathematics. 2. To develop abstract mathematical thinking. 3. To improve the abilities of students which will be helpful to qualify competitive examinations. 4. Apply knowledge of Mathematics, in all the fields of learning including higher research. 5. Work effectively as an individual, and also as a member or leader in multi- linguistic and multi-disciplinary teams. 6. To qualify lectureship and fellowship exams such as NET, GATE, SET etc. 7. Understand the basic concepts, fundamental principles and mathematical theories related to various courses and their relevance to other sciences. B) M.Sc. Tech (Mathematics) 1. Demonstrate basic knowledge in fundamentals of programming, algorithms and programming technologies and fundamentals of Computer Science. 2. Use research-based knowledge and research methods including design of experiments, analysis and interpretation of data, and synthesis of the information to provide valid conclusions 3. Create, select, and apply appropriate techniques, resources, and modern engineering and IT tools, including prediction and modeling to complex engineering activities, with an understanding of the limitations. 4. Communicate technical topics in written and verbal forms 5. Develop the ability to design creative solutions to real life problems faced by the industry 6. Improve the capability for self-learning 7. Map their qualities of learning to demonstrate latest technology c. CBCS with course Structure Program Name: MSc (Mathematics) Semester I Paper no Course Title Teaching hours Credits per week CC-101 Advanced Calculus 6 5 CC-102 Linear Algebra 6 5 CC-103 Complex Analysis 6 5 CC-104 Classical Mechanics 6 5 CC-105 Ordinary Differential Equations 6 5 AEC-106 Communicative English-I 2 2 Semester II Paper no Course Title Teaching hours Credits per week CC-201 Functional Analysis 6 5 CC-202 Algebra 6 5 CC-203 General Topology 6 5 CC-204 Numerical Analysis 6 5 CC-205 Partial Differential Equations 6 5 SEC-206 Fundamentals of Information 2 2 Technology (FIT)-I Semester III Paper no Course Title Teaching hours Credits per week MT-301 Real Analysis 6 5 MT-302 Advanced Discrete Mathematics 6 5 Any three of the following MT-303 Topological Vector Spaces 6 5 MT-304 Number Theory 6 5 MT-305 Operations Research – I 6 5 MT-306 Fuzzy Mathematics –I 6 5 MT-307 Fluid Dynamics 6 5 MT-308 Fractional Calculus 6 5 MT-309 General Relativity – I 6 5 MT-310 Lattice Theory – I 6 5 MT-311 Approximation Theory 6 5 MT-312 Dynamical Systems – I 6 5 MT-313 Graph Theory-I 6 5 MT-314 Differential Geometry 6 5 MT-315 Combinatorics 6 5 MT-316 Commutative Algebra - I 6 5 MT-317 Space Dynamics- I 6 5 MT-318 Theory of Computation 6 5 MT-319 Algebraic Topology 6 5 Semester IV Paper no Course Title Teaching hours Credits per week MT-401 Field Theory 6 5 MT -402 Integral Equations 6 5 Any three of the following MT-403 Measure and Integration 6 5 MT-404 Algebraic Number Theory 6 5 MT-405 Operations Research – II 6 5 MT-406 Fuzzy Mathematics –II 6 5 MT-407 Computational Fluid Dynamics 6 5 MT-408 Fractional Differential Equations 6 5 MT-409 General Relativity – II 6 5 MT-410 Lattice Theory – II 6 5 MT-411 Wavelet Analysis 6 5 MT-412 Dynamical Systems – II 6 5 MT-413 Graph Theory-II 6 5 MT-414 Analysis on Manifolds 6 5 MT-415 Theory of Distributions 6 5 MT-416 Commutative Algebra - II 6 5 MT-417 Space Dynamics- II 6 5 MT-418 Automata Theory 6 5 MT-419 Dynamic Equations on Time Scales 6 5 Program Name: MSc Tech (Mathematics) Semester I Paper no Course Title Teaching hours Credits per week MTT 101 Advanced Calculus 4 4 MTT 102 Linear Algebra 4 4 MTT 103 Discrete Mathematical Structures 4 4 -I MTT 104 Computer Architecture 4 4 MTT 105 Programming in C 4 4 MTT 106 Lab Work I 12 6 Semester II Paper no Course Title Teaching hours Credits per week MTT 201 Functional Analysis 4 4 MTT 202 Algebra 4 4 MTT 203 Discrete Mathematical Structures 4 4 -II MTT 204 Data Structures Using C 4 4 MTT 205 Operating Systems 4 4 MTT 206 Lab Work II 12 6 Semester III Paper no Course Title Teaching hours Credits per week MTT 301 Complex Analysis 4 4 MTT 302 ODE 4 4 MTT 303 DAA -I 4 4 MTT 304 Database System 4 4 MTT 305 Object Oriented Programming with 4 4 C++ MTT 306 Lab Work III 10 5 Semester IV Paper no Course Title Teaching hours Credits per week MTT 401 Real Analysis 4 4 MTT 402 Operations Research 4 4 MTT 403 DAA -II 4 4 MTT 404 PHP with MySQL 4 4 MTT 405 Java Programming 4 4 MTT 406 Lab Work IV 10 5 Semester V Paper no Course Title Teaching hours Credits per week MTT 501 Compiler Techniques 4 4 MTT 502 Software Engineering 4 4 MTT 503 Computer Networks 4 4 MTT 504 Computer Graphics 4 4 MTT 505 Departmental Electives 4 4 1.
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