07831-273022 gncbalrampur@gmail.com

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

**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.

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