Mathematics

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.

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. 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.

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

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.

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. 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.

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.

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

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

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.

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. 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.

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.

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.

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.

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.

MMS Seminars