Department of Mathematics
About the Department:
The Department of Mathematics was established in the academic year 1972. At present, this Department offering B.Sc. degree course with one of the three subjects as Mathematics under UG program affiliated to Swami Ramanand Teerth Marathwada University, Nanded. Now the department has 01 regular faculty and 02 CHB faculties. The Department of Mathematics is one of the important departments of our college. Department has striven to set high standards of teaching.
Students who graduate from the Department have a wide variety of career options to choose from. These include academics, research, civil services, management, banking, defense operations and entrepreneurship. Our cherished alumni, maintaining a continuous connection with us, have carved remarkable paths across diverse fields.
Our faculty members also conduct ongoing research on the best mathematical problems in a variety of areas like, Number Theory, Analysis, Fluid mechanics and Dynamics.
Department has a well equipped lab containing 20 computers with MATLAB and one Television for ICT lectures, sufficient class room, study materials etc.
Mission:
Facilitates the learners to become competent users of mathematics and mathematical applications that lead them to be lifelong learners and productive members of the society
Vision:
To achieve recognition for academic excellence by emphasizing profound teaching and research. Simultaneously, to maintain relevance by actively contributing to the development of the surrounding community.
| Sr. NO. | NAME OF THE FACULY | DESIGNATION | DATE OF JOINING | EXPERIENCE | C.V. |
| 1 | Dr. S. P. Basude | Assistant Professor & Head | 03.05.2023 | 04 years 09 months | Dr Basude Sir |
| 2 | Dr. D. M. Surwase | Assistant Professor | 04.07.2023 | 12 years | surwase sir |
| 3 | Mr. J. B. Jadhav | Assistant Professor | 08.01.2024 | 03 months | Jagdish CV |
| 4 | Mrs. S. S. Lale | Lecturer | 10.08.2023 | Miss Lale S S |
- Retired Faculties:
Sr. No. Name Designation Tenure 1 Dr. M. R. Gosavi Associate Professor & Head 1987-2020 2 Prof. V. T. Solunke Associate Professor 1990-2016 - Faculty Awards/Achievements /Recognition
| Sr. No. | Name of the Faculty | Year | Title of the Award/Achievement /Recognition | Awarded by |
| 1 | Dr. S. P. Basude | 2023 | Successfully completed NPTEL Translation project work of 6.25 hrs. | NPTEL |
- PROGRAMMES OFFERED
| Sr. No. | Name of the Programme | In-take Capacity | Duration | Programme Outcomes |
| 1. | B.Sc. | 120 | 03 yrs | To provide with the opportunity to acquire Mathematics to reach it to at least Key Stage UG Level.
To enable us to start the postgraduate basic training of mathematics as it is a requirement of the training of Basic applications of Mathematics. To improve Students chances of employment. |
- Courses Offered
| Year | Semester | Titles of the Courses | Course Outcomes |
| B.Sc. I | Sem.-I | 1. Calculus-I (Differential Calculus) | 1. Understand concept of Limit, Continuity of Single and two variable Functions.
2. Find the Higher order derivatives of Product of Functions 3. Find Equation of Tangent, Normal and Length of Tangent, Normal, Sub-tangent, Sub-normal. 4. Understand the concept of Partial differentiation. 5. Differentiate difference between derivative of single variable and two variables. |
| 2. Algebra and Trigonometry | 1. Add, Subtract and Multiply two Matrices.
2. Find the Inverse of invertible Matrices. 3. Determine the Rank of a Matrix. 4. Solve the System of Linear Equations. 5. Check that every square matrix satisfies its own Characteristic Polynomial. |
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| Sem.-II | 1. Calculus-II (Integral Calculus) | 1. Apply method of integration to find the integral of function.
2. Solve examples of definite integrals using Properties definite integrals. 3. Find the area and volume of given shape. 4. Understanding concept of Gamma and Beta Functions. 5. Solve problems on Multiple Integrals |
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| 2. Geometry | 1. Understanding concepts on Three Dimensional Geometry.
2. Understanding concepts on Three Dimensional Geometry. 3. Find the Direction cosines of any line under the different given conditions. 4. Transform the equation of a plane to the normal form. 5. Find the length of perpendicular from a point to a plane. |
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| B.Sc. II | Sem.-III | 1. Real Analysis – I | 1. Understand the concept of sets and functions and relations.
2. Understand the sequences and limit of sequences. 3. Differentiate between convergent and divergent sequences. 4. Understand the concept of Series. 5. Check whether a series is convergent or divergent. |
| 2. Group Theory | 1. Understand the concept of functions, relations, group.
2. Differentiate between homomorphism and Isomorphism. 3. Understand the concept of Normal Subgroups and Quotient groups. 4. Understand the applications of Cayley’s Theorem. 5. Use the results of cyclic groups and permutation group. |
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| 3. Ordinary Differential Equations | 1. Understand the concept of types of differential equations.
2. Recognize linear equations with constant Coefficients and variable coefficients. 3. Calculate the IVPs for second order homogeneous equations. 4. Calculate the results of Non-Homogeneous equations of order two. 5. Find the solutions of homogeneous equations. |
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| Sem.-IV | 1. Real Analysis II | 1. Understand the concept Riemann integral
2. Apply the Darboux’s theorem. 3. Understand the concept of Integration and differentiation. 4. Apply the mean value theorems on different functions. 5. Calculate the integration of unbounded functions with finite limits of integration. 6. Calculate the Fourier series of Even and odd Funtions |
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| 2. Ring Theory | 1. Understand the concept Ring, Ideal, Field.
2. Differentiate between homomorphism and isomorphism of rings. 3. Recognize field of quotients of an integral domain. 4. Differentiate between polynomial rings and Euclidean ring. 5. Understand the polynomial rings over commutative rings |
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| 3. Partial Differential Equations | 1. Understand the concept partial differential equations.
2. Find the order and degree of a partial differential equation. 3. Understand the method of solving non-linear partial differential equations. 4. Find the complementary function of a p.d.e. 5. Apply D’Alembert’s method to solve the wave equation. 6. Find the one dimensional and two dimensional heat flow. |
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| B.Sc. III | Sem.-V | 1. Metric Spaces | 1. Understand the concept of Metric space, open sets, closed sets.
2. Understand the concept of continuity and uniform continuity 3. Understand the concept of completeness, compactness and connectedness 4. Apply Banach fixed point theorem. 5. Apply finite intersection property. 6. Recognize separated sets. |
| 2. Linear Algebra | 1. Understand the concept vector spaces, linear transformations.
2. Find the bases of a vector space. 3. Differentiate between linear dependence and linear independence. 4. Find the inner product spaces. 5. Find Characteristic roots. |
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| 3. Mechanics-I (Statics) | 1. Understand the concept different types of forces acting on a particle and rigid body.
2. Apply the law of parallelogram, Triangle law of forces. 3. Apply Lami’s theorem 4. Find the sum of the vector moments of two like forces. 5. Find conditions of equilibrium of forces, conditions of equilibrium of coplanar forces. 6. Calculate vector moment of the resultant couple of two forces acting upon a rigid body. 7. Fid the magnitude and direction of the resultant of any number of forces. |
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| Sem.-VI | 1. Complex Analysis | 1. Operate basic mathematical operations with complex numbers in Cartesian and
polar forms. 2. Demonstrate the ability of limit, continuity, analyticity of a function. 3. Find the derivative and integral of a complex variable function. 4. Work with exponential and logarithmic functions. 5. Use Cauchy integral theorem and Liouville’s theorem. 6. Use Taylor and Laurent’s series. |
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| 2. Integral Transforms | 1. Understand the concept Laplace tranforms, inverse laplace transforms, fourier transforms
2. Find the Laplace transforms of derivatives of order n. 3. Apply the convolution theorem. 4. Find the inverse Laplace transform. 5. Apply Various properties to find Laplace and inverse Laplace transforms. 6. Find the inverse Laplace transform of ingrals by partial fraction method. 7. Find the solution of simultaneous differential equations by Laplace transforms. 8. Recognize the Fourier sine and cosine integrals. 9. Find the Fourier sine and cosine transforms. |
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| 3. Mechanics-II(Dynamics) | 1. Understand the concept kinematics and dynamics of a particle in two dimensions, kinetics
of a particle, motion of a projectile and motion of a resisting medium 2. Find the components of velocity and Acceleretion 3. Find the angular acceleration, radial and transverse components of velocity and acceleration.. 4. Find angular momentum and linear momentum 5. Find field of force and conservation of field of force. 6. Find motion of projectile and derivation of equation of its trajectory. 7. Find the vertex and latus rectum of the parabola. 8. Find the velocity of a particle in terms of its height. |
- Results
| Sr. No. | Academic Year | No. of Students Enrolled | No. of Students Appeared for Exam | Passed | Failed | Percentage of Result |
| 1. | 2019-20 | 49 | 45 | 42 | 03 | 85.72 |
| 2. | 2020-21 | 33 | 33 | 31 | 02 | 93.93 |
| 3. | 2021-22 | 41 | 41 | 32 | 09 | 78.04 |
| 4. | 2022-23 | 26 | 25 | 22 | 03 | 88.00 |
| 5. | 2023-24 |
- Students’ Achievements/ Merits
Sr. No. Academic Year Name of the Student % or Award or Achievement 1 2019-20 1. 2. 3. 2 2020-21 1. 2. 3. 3 2021-22 1. Amardip Sanjay Sadanande Qualified JAM 2022 2.Balaji Solunke Qualified SPPU, Pune Entrance Exam for M.Sc. Applied Mathematics 3. Jadhav Omkar Qualified MIT, Pune Entrance Exam for M.Sc. Applied Mathematics 4 2022-23 1. Nikita Gumate student of B.Sc FY has actively participated in Marathwada Mathematical Society’s (MMS) 19th Regional Seminar Competition and ranked 4th. 2. Birajdar Rutuja Qualified SPPU, Pune Entrance Exam for M.Sc. Applied Mathematics 5 2023-24 1. Ratnashil Sonkamble student of B.Sc SY has actively participated in Marathwada Mathematical Society’s (MMS) 20th Regional Seminar Competition and ranked 2nd . - Best Practices of the Department
| Sr. No. | Title of the Best Practice | Photos |
| 1 | Student Participations in MMS Seminar |  |
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| 2 | Poster Presentation Competition |  |
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| 3 | Guest Lectures |  |
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| 4 | Webinar/ Workshop |  |
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| 5 | Seminars |  |
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| 6 | Organized
MMS Seminars
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- Notable Alumni
| Sr. No. | Name of the Alumni | Present Designation |
| 1. | Ms. Priya Waghambar Biradar | Software Engineer Trainee, Hyderabad |
| 2. | Amardip Sanjay Sadanande | M.Sc. SY in Mathematics and Computing at NIT Harimpur |
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