Program Outcome (FYUGP)
- PO1: Students will be able to understand the fundamental concepts in mathematics and develop ideas based on them.
- PO2: Students/learners will be provided with sufficient knowledge and skills to be motivated towards research in mathematics and related fields.
- PO3: Students will possess advanced knowledge on topics in pure mathematics, empowering her/him to pursue higher degrees at reputed academic institutions.
- PO4: Students will be equipped with problem-solving skills and mathematical modeling ability for careers in the future.
- PO5: Develop students’ analytical thinking, abilities, and aptitudes to apply mathematical methods and ideas not only to problems in mathematics but also to related fields such as sciences, computer science, actuarial science, or statistics.
- PO6: Familiarize the students with suitable tools of mathematical analysis to handle issues and problems in mathematics and related fields.
- PO7: Students will get exposure to the interdisciplinary relationship between the other streams.
- PO8: Enabling students to develop a positive attitude towards mathematics as an interesting and valuable subject of study.
Course Outcome (FYUGP)
UMATMAJ11001: Classical and Linear Algebra
This course will enable the students to:
- Employ De Moivre’s theorem in several applications to solve numerical problems.
- Learn how to solve the cubic and biquadratic equations, and also learn about symmetric functions of the roots for cubic and biquadratic.
- Learn about some important inequalities.
- Recognize consistent and inconsistent systems of linear equations by the row echelon form of the augmented matrix. Finding the inverse of a matrix with the help of the Cayley-Hamilton theorem
- Compute the rank of a matrix, characteristic equation, eigenvalues, and eigenvectors.
UMATSEC11001: Logic, Integers, and Boolean Algebra
This course will enable the students to:
- Understand the concept of logical operators, different types of proposition predicates, quantifiers, and logical equivalence.
- Use modular arithmetic and basic properties of congruences.
- Become familiar with Boolean algebra, Karnaugh diagrams, switching circuits, and their applications.
UMATMIN10001: Classical and Linear Algebra
This course will enable the students to:
- Employ De Moivre’s theorem in several applications to solve numerical problems.
- Learn how to solve the cubic and biquadratic equations, and also learn about symmetric functions of the roots for cubic and biquadratic.
- Learn about some important inequalities.
- Recognize consistent and inconsistent systems of linear equations by the row echelon form of the augmented matrix. Finding the inverse of a matrix with the help of the Cayley-Hamilton theorem
- Compute the rank of a matrix, characteristic equation, eigenvalues, and eigenvectors.
UMATMAJ12002: Calculus and Geometry
This course will enable the students to:
- Know about higher order derivatives, Leibnitz rule and its applications, L’Hospital’s rule and its applications.
- Understand the concavity and inflection points, envelopes, asymptotes, curve tracing in Cartesian coordinates.
- Compute reduction formulae, the arc length of a curve, area enclosed by a curve.
- Understand the basic concept of conics, rotation of axes, and classification of conics and polar equations of conics.
- Know about the properties of spheres, cylindrical surfaces, conicoids, paraboloids, generating lines and solve these related problems.
UMATSEC12002: Graph Theory
This course will enable the students to:
- Understand the basics of graph theory and learn Eulerian and Hamiltonian graphs
- Understand a tree and its properties, the representation of graphs by a matrix.
- Apply graph theory to find the shortest path using Dijkstra’s algorithm.
- Relate graph theory to real-world problems.