COURSES / SCIENCE / B.Sc. Mathematics
In this B. Sc. course, students can opt following subjects, along with English as compulsory language and Marathi/Hindi as optional language. The optional subjects as follows:
- Physics - Mathematics - Computer Science
- Physics - Mathematics - Electronics
Programme Outcomes:
The student will be able
- Understanding concept of Limit, Continuity of Single and two variable Functions.
- Find the Higher order derivatives of Product of Functions.
- Expand functions in terms of infinite series.
- Find Equation of Tangent, Normal and Length of Tangent, Normal, Sub-tangent, Sub-normal.
- Understanding of Mean Value Theorem concepts.
- Understand the concept of Partial differentiation.
- Use the results to solve problems.
- Differentiate difference between derivative of single variable and two variables.
- Add, Subtract and Multiply two Matrices.
- Recognize the different types of Matrices.
- Find the Inverse of invertible Matrices.
- Determine the Rank of a Matrix.
- Transform matrix to Row Echelon form
- Solve the System of Linear Equations.
- Find the Characteristic Roots and Characteristic Vectors of a Square Matrix.
- Check that every square matrix satisfies its own Characteristic Polynomial
The student will be able to
- Apply method of integration to find the integral of function.
- Solve examples of definite integrals using Properties definite integrals.
- Find the area and volume of given shape.
- Understanding concept of Gamma and Beta Functions.
- Solve problems on Multiple Integrals.
- Understanding concepts on Three-Dimensional Geometry.
- Find equations of Right lines, Planes, Spheres, Cones and Cylinders.
- Find the Direction cosines of any line under the different given conditions.
- Understand the intersection of any two or three, three dimensional geometrical figures.
- Transform the equation of a plane to the normal form.
- Transform equation of line from the unsymmetrical to the symmetrical form.
- Find the length of perpendicular from a point to a plane.
- Find the angle of intersection of two spheres.
- Understanding concepts of plane of contact.