Affiliated To संत गहिरा गुरु विश्वविद्यालय, सरगुजा, अम्बिकापुर, छत्‍तीसगढ़

B.Sc. (Maths) Mathematics

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.