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Shrimati Narsamma Hirayya Shaikshanik Trust, Amravati

Shrimati Narsamma Arts, Commerce & Science College

Kiran Nagar, Amravati

Department of Mathematics

CO (Course Outcomes)

  • To Learn De Moivre’s Theorem and Understand Relation Between Circular & Hyperbolic Function.

  • To understand the Trigonometric Series & Euler’s Series.

  • To understand concept of Elements of Quaternion.

  • Learn to Theory of equation & Descarte’s rule of signs.

  • Learn to concept of Matrices and Clayey –Hamilton theorem.

  • To understand the definition of limit of a function and calculation of limit.

  • To understand the Leibnitz theorem and L’ hospital Rule.

  • Learn to Mean Value Theorems.

  • To understand Concept of Partial derivatives and Euler’s Theorem.

  • Learn to Integration and reduction formulae.

  • To understand the First order differential equation

  • To Learn Second order Linear differential equation.

  • Learn to Reduction formulae

  • To solved Partial Differential equation

  • Learn to Charpits’s general method of solution.

  • To understand Concept of Vectors and its products.

  • To get Knowledge of basic principles of Gradient, divergence, curl and Green theorem.

  • To understand Concept of Sphere and Cone.

  • To learn the definition of sequence and series and Sandwich theorem.

  • To illustrate the working of Lebnitz Rule ,Abel’s test and Dirichilet test.

  • To get Knowledge of basic principles of limit and continuity , Taylor’s theorem.

  • To understand Lagrange’s multipliers method and Jacobian.

  • To understand Double and triple Integration and Gauss-stoke’s theorem.

  • To understand Divisibility & Euclidean algorithm.

  • To learn prime number & linear Diophantine equation.

  • To understand basic properties of congruence & Chinese remainder theorm.

  • To learn the Arithmetic function & Euler’s theorem.

  • To understand Primitive roots and quadratic residues.

  • To understand the concept of Group, Subgroup and Cosets.

  • To learn the concept of Homomorphism & Isomorphism and its Theorem.

  • To understand the properties of Ring and Ideals.

  • To learn the constraints and Lagrange’s equation of motion.

  • To learn the central force motion and Virial Theorem.

  • To understand concept of calculus of variation and Hamilton’s principle.

  • To understand concept of Rigid Body.

  • To understand the Riemann Integral and Mean Value theorem.

  • To understand the concept of improper integral and Beta-Gamma function.

  • On Milne-Thomson Method.

  • To learn the concept of metric space and Cauchy sequences.

  • To understand the Legendre’s and Bessal equation.

  • To learn the concept of Laplace and Fourier Transform & its Application.

  • To understand the concept of Vector Space, Basis and Linear Transformation.

  • To Learn the Dual Space, Inner Product space & Modules.

  • To understand the Concept of Graph & Operation graphs.

  • To learn the concept of tree and Spanning tree.

  • To find the fundamental circuit and planner graphs.

  • To understand the vector spaces & orthogonal vectors.

  • To Find the matrix of a Graph.

M.Sc. (Mathematics)

  • Innovate, invent and solve complex mathematical problems using the knowledge of pure and applied mathematics.

  • To solve one dimensional Wave and Heat equations employing the methods in Partial Differential equations.

  • Utilize Number Theory in the field of Cryptography that helps in hiding information and maintaining secrecy in Military information transmission, computer password and electronic commerce.

  • Facilitate in the study of crystallographic groups in chemistry and Lie symmetry groups in physics.

  • Demonstrate risk assessment in financial markets, Disease spread in Biology and Punnett squares in Ecology.

  • Identify Simulation of ground freezing and water evaporation, Heat transfer analysis due to solar radiation, Calculation of temperatures and heat flow under steady-state or transient boundary conditions.

  • Explain the knowledge of contemporary issues in the field of Mathematics and applied sciences.

  • Work effectively as an individual, and also as a member or leader in multi-linguistic and multi-disciplinary teams.

  • Adjust themselves completely to the demands of the growing field of Mathematics by lifelong learning.

  • Effectively communicate about their field of expertise on their activities, with their peer and society at large, such as, being able to comprehend and write effective reports and design documentation, make effective presentations

  • Crack lectureship and fellowship exams approved by UGC like CSIR – NET and SET.

  • To Learn De Moivre’s Theorem and Understand Relation between Circular & Hyperbolic Function.

  • To understand the Trigonometric Series & Euler’s Series.

  • To understand concept of Elements of Quaternion.

  • Learn to Theory of equation & Descarte’s rule of signs.

  • Learn to concept of Matrices and Clayey –Hamilton theorem.

  • To understand the definition of limit of a function and calculation of limit.

  • To understand the Leibnitz theorem and L’ hospital Rule.

  • Learn to Mean Value Theorems.

  • To understand Concept of Partial derivatives and Euler’s Theorem.

  • Learn to Integration and reduction formulae.

  • To understand the First order differential equation

  • To Learn Second order linear differential equation.

  • Learn to Reduction formulae

  • To solved Partial Differential equation

  • Learn to Charpits’s general method of solution.

  • To understand Concept of Vectors and its products.

  • To get Knowledge of basic principles of Gradient, divergence, curl and Green theorem.

  • To understand Concept of Sphere and Cone.

  • To learn the definition of sequence and series and Sandwich theorem.

  • To illustrate the working of Lebnitz Rule, Abel’s test and Dirichilet test.

  • To get Knowledge of basic principles of limit and continuity, Taylor’s theorem.

  • To understand Lagrange’s multipliers method and Jacobian.

  • To understand Double and triple Integration and Gauss-stoke’s theorem.

  • To understand Divisibility & Euclidean algorithm.

  • To learn prime number & linear Diophantine equation.

  • To understand basic properties of congruence & Chinese remainder theorem.

  • To learn the Arithmetic function & Euler’s theorem.

  • To understand Primitive roots and quadratic residues.

  • To understand the concept of Group, Subgroup and Cosets.

  • To learn the concept of Homomorphism & Isomorphism and its Theorem.

  • To understand the properties of Ring and Ideals.

  • To learn the constraints and Lagrange’s equation of motion.

  • To learn the central force motion and Virial Theorem.

  • To understand concept of calculus of variation and Hamilton’s principle.

  • To understand concept of Rigid Body.

  • To understand the Riemann Integral and Mean Value theorem.

  • To understand the concept of improper integral and Beta-Gamma function.

  • On Milne-Thomson Method.

  • To learn the concept of metric space and Cauchy sequences.

  • To understand the Legendre’s and Bessal equation.

  • To learn the concept of Laplace and Fourier Transform & its Application.

  • To understand the concept of Vector Space, Basis and Linear Transformation.

  • To Learn the Dual Space, Inner Product space & Modules.

  • To understand the Concept of Graph & Operation graphs.

  • To learn the concept of tree and Spanning tree.

  • To find the fundamental circuit and planner graphs.

  • To understand the vector spaces & orthogonal vectors.

  • To find the matrix of a Graph.