Department of Mathematics
Program Outcomes
B. Sc. Program, Student will be able to:
Be ableto analyse, test, interpret and form Independent Judgments in bath endemic andnon-academic
contorts.
Recognizeand appreciate the connections between theory and applications.
PO1- Havean appropriate set of professional skills to ensure a productive career.
PO2- Work effectively in a multi-disciplinary environment.
PO3- Be prepared for life-long learning.
PO4- Exhibit positive attitudes and values toward the discipline, so that they can contribute to an
increasingly complex and dynamic society.
PO5- Develop effective communication skills in English and regional/national Language.
PO6- Communicate effectively with whom they are interacting and the society to make effective
presentations, and give receive clear instructions.
PO7- Function effectively as an individual, and as a member or leader in diverse teams.
Program Specific Outcome
B. Sc. Programin Mathematics a Student will able to:
PSO1- Be familiar with different areas of Mathematics.
PSO2- Construct abstract models using appropriate mathematical and statistical tools.
PSO3- Beprepared to use mathematics. Not only in the discipline of mathematics, but also in other
disciplines and in their futureendeavours.
PSO4- Recognise what constitutes mathematical thinking. Including the ability to produce andjudge the
validity of rigorous mathematical arguments.
PSO5- Identify suitable existing methods of analysis, if any, and assess his/her strengths andweaknesses
in the context of the problem being considered.
PSO6- Develop the skills necessary to formulate and understand proofs and to provide justification.
PSO7- Think critically and communicate clearly mathematical concepts and solution toreal-world
problems.
PSO8- Understand the Concepts of algebra which include equations numbers and algebraicstructures.
PSO9- Student swill be able to use concepts of analysis in saving problem. The concept includesets,
numbers, functions and convergence.
PSO10- Understand mathematics ideas from basic axioms.
PSO11- Identify the application of mathematics in other disciplines and society.
PSO12- On completion of the program the Students are well poised to pursue careers inalealemia, industry
and other areas of mathematics.
Course Outcome
B. Sc. I
Algebra And Trigonometry
After completing this course the learner should be able to:
CO1- To find the inverse of matrix by cayley Hamliton theorem.
CO2- To find the descarte’s rule of sign and salutions of cubic equation (Carton’sMethod)
Calculus
After completing this course the learner should be able to:
CO1- Find the higher order derivative of the product of two functions.
CO2- Expands function using Taylor’s and McLaurin’s series.
CO3- Learn about partial derivatives its applications.
Vector Analysis and Geometry
After completing this course the learner should be able to:
CO1- Representvectors analytically and geometrically and compute dot and cross products for
presentations of lines.
CO2- Analysevector functions to find derivatives, tangent lines, integrals, arc length andcurvature.
CO3- Computelimits and derivatives of function of 2 and 3 variables.
CO4- Evaluatedouble and triple integral for area volume.
CO5- Differentiatevictor fields.
B. Sc. II
Advanced Calculus
Aftercompleting this course the learner should be able to:
CO1- Computedouble integrals, application to area and volume, arena’s theorem in the planeand the
change of various in doubleintegrals.
CO2- Understandbasic nations such as derivative of the scalar field w.r to vector fieldgradient of scalar
field, paths and line.
CO3- Recognizefundamental vector product, area of various parametric surfaces.
Differential Equation
Aftercompleting this course the learner should be able to:
CO1- Obtainan integrating factor which may reduce a given differential equation into anexact one and
eventually provide its solution.
CO2- Methodof solution of the differential equation.
CO3- Solvedifferential equations using the Laplace transform technique.
Mechanics
Aftercompleting this course the learner should be able to:
CO1- Relativemotion inertial and non-inertial reference frames.
CO2- Parametersdefining the motion of mechanical system and their degree of freedom.
CO3- Studyof the interaction of forces between solids in mechanical systems.
CO4- Centreof mass and inertia tensor and mechanical systems.
CO5- Applicationof the vector theorems of mechanics and interpretation of their results.
B. Sc. III
Analysis
Aftercompleting this course the learner should be able to:
CO1- Learnsvarious field axioms the Archimedean property , triangle and Cauchy Schwartzinequality.
CO2- Extendthe idea to set theory, functions, countable and uncountable sets.
CO3- Examinethe convergence of any sequence in a matric space.
CO4- Relatefunction to point set topology.
Abstract Algebra
Aftercompleting this course the learner should be able to:
CO1- Analyze and demonstrate example of subgroups, normalsubgroups and quotient groups.
CO2- Analyzeand demonstrate example of ideals and quotient rings.
CO3- Usethe concepts of isomorphism and homomorphism for groups and rings.
Discrete Mathematics
Aftercompleting this course the learner should be able to:
CO1- Studythe concept of Relation and functions.
CO2- Classifythe concept of Lattices and Boolen Algebra.
CO3- Createstructural designs using patterns of graphs in graph theory.