Teaching Staff

Courses & Syllabus:

PROGRAMES & OUTCOMES:

• PO1: Scientific temperament: The programme inculcates scientific attitude in the minds of learners in physical, chemical, material, life and mathematical sciences. Students acquire scientific abilities such as logical thinking, problem solving approach, data collection and decision making and apply the same (BL6).
• PO2: Basic scientific knowledge: Students acquire scientific knowledge to extract information, formulate and solve problems in a systematic manner (BL6).
• PO3: Technical competence and practical skills: Learners acquire skills to handle basic scientific instruments following the general lab safety practices through experimental skills(BL6).
• PO4: Creative thinking and numerical ability: It empowers the learners with creative thinking and numerical ability (BL6).
• PO5: Environment and sustainability: It provides understanding of current environmental scenario and necessity of sustainability along with solutions. Students are made aware of environment related issues and sustainable technology development (BL3).
• PO5: Competency: The programme prepares learners for post -graduation and higher education. Students become eligible for appearing to competitive examinations such as MPSC/UPSC and banking (BL6).

1. Mathematics Differential Equations

CO1: To understand homogeneous and separable first order differential equations.
CO2: To understand the exact differential equations.
CO3: To understand homogenous linear equations with constant coefficient and variable coefficients.
CO4: To find the solution of non-homogenous first order differential equations.
CO5: To find the solution of Bernoulli’s equation.

2. Geometry
CO1: To understand geometrical terminology for plane, right line, sphere, cylinder and cone.
CO2: To know the geometrical results to find center and radius of the circle.
CO3: Students will be able to find equation of lines and planes in space.
CO4: Student will be able to find angle between two planes and length of perpendicular from a given point to a given line.
CO5: Students will be able to identify parallel and perpendicular lines.
3. Differential and Integral Calculus
CO1: To develop the concepts of limit, function, continuity, discontinuity and derivative.
CO2: Students become familiar with hyperbolic functions, inverse hyperbolic functions, derivatives, and higher order differentiation.
CO3: Students understand the consequences of Rolle’s Theorem and mean value theorem for differentiable function.
CO4: Students understand definite integrals as the limit of a sum.
CO5: Student will be able to understand the concept of divergence, curl, gradient and it’s applications.

4. Number Theory
CO1: Students will be able to find quotient and remainders from integer division.
CO2: Students apply Euclid’s algorithm and backward substitutions.
CO3: Students understand the concept of congruence, residue classes and least residue.
CO4: Student will know the concepts - addition and multiplication of integers modulo.
CO5: Students will be able to solve linear congruence.

5. Numerical Methods.
CO1: Student becomes familiar with numerical solutions of nonlinear equations in a single variable.
CO2: Students will know the concepts - numerical interpolation and approximation of functions.
CO3: Student can solve first order initial value problem using Euler’s method.
CO4: Student can solve first order initial value problem using a second order Runge- Kutta Method.
CO5: Students will be able to find numerical solution of ordinary differential equations.

6. Integral Transform and Partial differential Equations
CO1: Students understand the concept of beta and gamma functions and their applications.
CO2: Students are able use to Laplace transform to solve ordinary and partial differential equations.
CO3: Students can apply properties of Laplace transform to solve examples.
CO4: Students will know the difference between linear and nonlinear partial differential equations.
CO5: Student will be able to solve the linear and nonlinear partial differential equation by various methods like Lagrange’s, Charpit’s, Jacobi’s, Monge’s method.

7. Mechanics (I & II)
CO1: Students understand the concepts - particle, rigid body, force, equilibrium etc.
CO2: Students can find the components of velocity & acceleration in a given direction.
CO3: Students follow the concepts momentum, angular momentum, work, energy and points functions in mechanics.
CO4: Students will know the concept of projectile and motion of projectile.
CO5: Students will know differential and pedal equations of central orbits andtheir applications.

8. Abstract Algebra (I & II)
CO1: Students will understand the number systems and algebraic structures.
CO2: Students will understand the concept of ring and special types of rings
. CO3: Students can identify the difference between homomorphism and isomorphism of a group.
CO4: Students will know and apply the concepts of linear dependence and linear independence of vectors.
CO5: Students will be able to give the examples of inner product space.

9. Ordinary Differential Equations (I & II)
CO1: Students will know the difference between equation and differential equation.
CO2: Students will be able to find the solution of linear differential equation of first and second order.
CO3: Students will understand the initial value problem and its solutions.
CO4: Students will be able to understand the concept Wronskian of solution.
CO5: Students can find singular point and regular singular points of the differential equation.

10. Real Analysis (I & II)
CO1: Students become familiar with terminology sets, elements, operations on sets, functions, operations on functions.
CO2: Students can define & recognize basic properties of field of real numbers.
CO3: Students can understand the concept of series of real numbers, convergence and Divergence.
CO4: Students can understand metric space, continuous function on metric space and difference between open sets and closed sets.
CO5: Students will be able define Riemann integral, Fourier series and their applications.ds of taxonomy.

Research

Activities

1. Interactive, Participative and Experiential Teaching Learning Method 
2. Tests Based on University Examination Pattern
3. ICT Lectures on Smart Board
4. Study Tours  

Alumni

Post Asst. Professor Asst. Social Worker Asst. Professor Asst. Professor Director Teacher Asst. Professor Teacher Jr. College Teacher Businessman Teacher Asst. Professor Asst. Professor Sr. Clerk Jr. College Teacher Director Teacher Dr. B.A.M.U,Auranagabad S.D.M. Mohekar Vidyalaya, Kalamb M.G.M. Auranagabad Washi Place K.M.J.M. Washi S.P. College Bhoom Yashshri Classes Omanabad C.S. Washi Institute of Chemical Technology Jalna Womens D.Ed College Barshi Shri. Shivaji Mahavidyalaya, Barshi Washi Ganesh Vidyalay Terkheda Medical College, Mumbai Hinduja College, Mumbai Treasury Office, Omarabad K.M.J.M. Washi Hi-Tech Computer Washi Chtrapati Shivaji Vidyalaya, Sukata

Future Plan

1. Establishing a research laboratory where teachers will work for their research projects and guide students for dissertation.
2. To strengthen the alumni association of the department
3. To inculcate research culture among the students
4. To start TY B Sc. at under graduation level for Mathematics

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