Course outcomes
SVGM Govt. Degree College
KALYANDURG
DEPARTMET of MATHEMATICS
Course Out Comes
SEMESTER - I
Course Outcomes :
1. After successful completion of this course, the student will be able to; Solve linear differential equations
2. Convert nonexact homogeneous equations to exact differential equations by using integrating factors.
3. Know the methods of finding solutions of differential equations of the first order but not of the first degree.
4. Solve higher-order linear differential equations, both homogeneous and non homogeneous, with constant coefficients.
5. Understand the concept and apply appropriate methods for solving differential equations.
SEMESTER - II
Course Outcomes :After successful completion of this SEMESTER, the student will be able to;
1. Students get the knowledge of planes.
2. Basic idea of lines, sphere and cones.
3. Understand the properties of planes, lines, spheres and cones.
4. Express the problems geometrically and then to get the solution.
SEMESTER - III
Course Outcomes :After successful completion of this SEMESTER, the student will be able to;
1. Acquire the basic knowledge and structure of groups, subgroups and cyclic groups.
2. Get the significance of the notation of a normal subgroups.
3. Get the behavior of permutations and operations on them.
4. Study the homomorphisms and isomorphisms with applications.
5. Understand the ring theory concepts with the help of knowledge in group theory and to prove the theorems.
6. Understand the applications of ring theory in various fields.
SEMESTER - IV
Course Outcomes :After successful completion of this SEMESTER, the student will be able to
1. Get clear idea about the real numbers and real valued functions.
2. Obtain the skills of analyzing the concepts and applying appropriate methods for testing convergence of a sequence/ series.
3. Test the continuity and differentiability and Riemann integration of a function.
4. Know the geometrical interpretation of mean value theorems.
SEMESTER - V
Course Outcomes :After successful completion of this SEMESTER, the student will be able to;
1. Understand the concepts of vector spaces, subspaces, basises, dimension and their properties.
2. Understand the concepts of linear transformations and their properties.
3. Apply Cayley- Hamilton theorem to problems for finding the inverse of a matrix and higher powers of matrices without using routine methods.
4. Learn the properties of inner product spaces and determine orthogonality in inner product spaces.
SEMESTER – VI ( Long Term Internship)
Course Outcomes :
1. Because of the Internship programme, students are going outside this semester.
2. Individual students work on projects or take courses as part of the INTERNSHIP programme.
3. Student has to submit his/her work once he/she has completed the INTERNSHIP.