UG CO'S


                                           

DEPARTMENT OF MATHEMATICS
COURSE OUTCOMES FOR UG 2018-2019
GENERAL DEGREE: M.P.C., M.S.Cs., M.P.E

SEMESTER- I: PAPER –I: DIFFERENTIAL EQUATIONS      PAPER CODE: 1110-B
CO1: To study various techniques of solving first order and first degree differential equations.
CO2: To know equations solving methods of first order but not of first degree.
CO3: To study various techniques of higher order linear homogeneous differential equations
CO4: To study various techniques of higher order linear non homogeneous differential equations
CO5: To gain the knowledge of methods of solving higher order differential equations.

SEMESTER- II: PAPER –II: SOLID GEOMETRY                   PAPER CODE: 2210-A
CO1: To gain knowledge in 3D- dimension, quadratic geometry.
CO2: Students can easily understand the solving techniques for lines and planes.
CO3: Students gain knowledge of sphere and its properties
CO4: To determine the sphere problems by using various formulations.
CO5: Students know the basic definitions and concepts of cone and cylinder.

SEMESTER- III: PAPER –III: REAL ANALYSIS                    PAPER CODE: 3310-A
CO1: To know the basic concepts of Real numbers and real sequences.
CO2: To understand the infinite series and different types of test for convergence
CO3: To use previous knowledge of continuity
CO4: To know the derivability of a function and mean value theorem.
CO5: To gain knowledge of Riemann integration.

SEMESTER- IV: PAPER –IV:  ABSTRACT ALGEBRA                 PAPER CODE: 4410-A
CO1: To know the basic concepts of groups and semi groups.
CO2: To gain the knowledge of subgroups and its operations.
CO3: To study the concepts of cosets and Lagrange’s theorem and normal subgroups.
CO4: To gain the Knowledge of homomorphism, Isomorphism and Automorphism of groups.
CO5: To gain the complete knowledge of permutation groups and cyclic groups.

SEMESTER- V: PAPER - V:  RING THEORY&MATRICES           PAPER CODE: 55101
CO1: The students can study the concept of rings and fields, Integral domains.
CO2: To understand the concept of characteristics of rings.
CO3:  To learn Homomorphism of rings.
CO4: To understand the matrices and to solve their problems.
CO5: To aware the importance of Matrices and characteristics roots and values.

SEMESTER- V: PAPER VI - LINEAR ALGEBRA                           PAPER CODE: 55102
CO1: To gain knowledge of basic concepts of vector spaces, subspaces, basis and dimension.
CO2: To study linear transformation and its properties.
CO3: To find Eigen values and Eigen vectors by using cayley Hamilton theorem.
CO4: To gain knowledge of basic definitions and concepts of inner product spaces.
CO5: To gain knowledge of orthogonality and orthonormal.

SEMESTER- VI: ELECTIVE PAPER - VII: VECTOR CALCULUS   
                                                                                                                PAPER CODE: 610EL01
CO1: To study the concept of vector differentiations and Gradient of scalar point function.
CO2: To gain knowledge in curl of vector and divergence of vectors and its applications.
CO3: To study the concept of vector identities.
CO4: To gain knowledge of vector integration and volume integral
CO5: To study the concept of Gauss divergence, Greens, Stoke’s theorems and its applications.

SEMESTER- VI: CLUSTER PAPER VIII: LAPLACE TRANSFORMS   
                                                                                                               PAPER CODE: 610CLA1
CO1:  To study the basic definitions and concepts of Laplace transforms..
CO2: To know the first and second shifting theorems, change of scale property, initial and final value theorems. .
CO3: To understand complete Laplace transforms of integrals.
CO4: To study basic definitions and concepts of inverse Laplace transforms.
CO5: To describe about the inverse Laplace transforms of derivative and its applications.

SEMESTER- VI: CLUSTER PAPER IX: INTEGRAL TRANSFORMS    
                                                                                                              PAPER CODE: 610CLA2
CO1: To study the application of Laplace transforms for the solutions of differential equations..
CO2: To study the applications of Laplace transforms for the solutions of P.D.E.
CO3:  Students will able to know the applications of Laplace transforms of solutions. .
CO4: To describe about the Fourier transforms. .
CO5:  To understand complete relation between Fourier and Laplace transforms.
                                          
                                 DEPARTMENT OF MATHEMATICS
        COURSE OUTCOMES FOR UG 2018-2019
B.Sc. MATHEMATICS HONOURS
SEMESTER- I: CORE PAPER –I:  CALCULUS                                PAPER CODE: 1131
CO1: To Expertise in Hyperbolic functions and Higher order derivatives
CO2: To study the basic definitions of vector differentiations.
CO3: To study   the concept of vector differentiation.
CO4: To study the basic concepts of vector integration and integral circulation problems
CO5: To gain knowledge of Gauss divergence, Green’s and stroke’s theorems and its applications.

SEMESTER- I: CORE PAPER II - ALGEBRA                                 PAPER CODE: 1132
CO1: To recall the previous knowledge of integers and its relevant theorems.
CO2: To know the method of find G.C.D, L.C.M of two numbers by using the canonical representation
CO3: To gain the knowledge of matrices and their applications.
CO4: To find the solutions of Eigen values and Eigen vectors by using Cayley Hamilton theorem
CO5: To know different methods of linear equations.

SEMESTER- II: PAPER III – REAL ANALYSIS                              PAPER CODE: 2231
CO1: To know the basic concepts of Real numbers and real sequences.
CO2: To understand infinite series and different types of test for convergence
CO3: To use the previous knowledge of continuity
CO4: To know the derivability of a function and mean value theorem.
CO5: To gain the knowledge of Riemann integration

SEMESTER- II: CORE PAPER –IV:  DIFFERENTIAL EQUATIONS        
                                                                                                                   PAPER CODE: 2232
CO1: To study various techniques of solving first order and first degree differential equations.
CO2: To know the equations for solving first order but not first degree.
CO3: To study various techniques of higher order linear homogeneous differential equations
CO4: To study various techniques of higher order linear non homogeneous differential equations
CO5: To gain the knowledge of methods of solving higher order differential equations.

SEMESTER- III: CORE PAPER –V: THEORY OF REAL FUNCTIONS      
                                                                                                                   PAPER CODE: 3331
CO1: To exhibit the knowledge of limits and continuity, derivative.
CO2: To gain the complete knowledge of mean value theorems and its applications.
CO3: To know the concept of functions of several variables.
CO4: To know  various techniques of several variables.
CO5: To study the maximum and minimum problems for only one variable.

SEMESTER- III: CORE PAPER –VI: GROUP THEORY - I               PAPER CODE: 3332
CO1: To know the basic concepts of groups and semi groups.
CO2: To gain the knowledge of subgroups and its operations.
CO3: To study the concepts of cosets and Lagrange’s theorem and normal subgroups.
CO4: To gain the Knowledge of homomorphism, Isomorphism and Automorphism of groups.
CO5: To gain the complete knowledge of permutation groups and cyclic groups.
SEMESTER- III: CORE PAPER –VII: PDE AND SYSTEMS OF ODE       
                                                                                                                     PAPER CODE: 3333
CO1: To know the basic concepts of ordinary partial differential equations.
CO2: To know the various techniques of P.D.E reducible to equations with constant coefficients.
CO3: To gain the knowledge of P.D.E reduction to canonical form.
CO4: To understand the solving methods of Cauchy initial value problem for first order P.D.E
CO5: To study the concepts of mathematical physics and its methods.
SEMESTER- IV: CORE PAPER –VIII: NUMERICAL METHODS   
                                                                                                                     PAPER CODE: 4431
CO1: To study the concept of errors in numerical computations and solutions of algebraic transcendental equations.
CO2: Students can understand iterative methods and its applications.
CO3: To gain the knowledge of interpolation with equal and unequal intervals and its applications.
CO4: To study the concepts of ordinary differential equations and different types of methods
CO5: To understand different types of numerical integrations rules and its applications.

SEMESTER- IV: CORE PAPER –IX: RIEMANN INTEGRATIONS AND SERIES OF FUNCTIONS                                                                                            PAPER CODE: 4432
CO1: To know the basic definitions and concepts of Riemann Integration.
CO2: To know the basic definitions and concepts of uniform convergence and series of functions.
CO3: To gain the knowledge of proper and improper integrals of first kind.
CO4: To gain the knowledge of proper and improper integrals of second kind
CO5: To gain the knowledge of power series and relevant problems and applications.
SEMESTER- IV: CORE PAPER –X: RING THEORY AND LINEAR ALGEBRA -I
                                                                                                                       PAPER CODE: 4433
CO1: To know the basic definitions of rings and basic properties.
CO2: To gain the knowledge of integral domains, subrings and ideals.
CO3: To know the knowledge of ring of homomorphism.
CO4:  To gain the knowledge of basic concepts of vector spaces, subspaces, basis and dimension.
CO5: To study the linear transformation and its properties.

SEMESTER- V: CORE PAPER –XI: MULTIVARIATE CALCULUS      
                                                                                                                      PAPER CODE: 5531
CO1: To study the basic concepts of partial derivatives.
CO2: To know the multivariable partial derivatives and solving methods.
CO3: To gain the knowledge of double integral and its concepts.
CO4: To know the concepts of triple integral in cylindrical and spherical coordinates
CO5: To study the basic concepts of several variables of special functions.

SEMESTER- V: CORE PAPER –XII: GROUP THEORY - II           PAPER CODE: 5532
CO1: To know the basic concepts and definition of automorphism groups.
CO2: To know the basic definition and concepts of G-sets and its applications.
CO3: To gain the knowledge of conjugacy of group activity
CO4: To understand the direct product and its properties.
CO5: To gain the complete knowledge of sylow theorems on groups.



SEMESTER- VI: CORE PAPER –XIII: METRIC SPACE AND COMPLEX ANALYSIS                                 PAPER CODE: 6631
CO1: To study basic definitions and concepts of metric space.
CO2: To understand derivatives, differentiation of analytical functions.
CO3: To study the Mobius transformation and its properties.
CO4: To gain knowledge of complex integrals and contours theorem.
CO5: To understand various theorems on power series.

SEMESTER- VI: CORE PAPER –XIV: RING THEORY AND LINEAR ALGEBRA -II                PAPER CODE: 6632
CO1: To know the basic definitions and concept of polynomial rings.
CO2: To solve the various techniques of rank and system of linear equations.
CO3: To find the Eigen values and Eigen vectors by using cayley Hamilton theorem.
CO4: To gain the knowledge of basic definitions and concepts of inner product spaces.
CO5: To gain the knowledge of orthogonality and orthonormal

DISCIPLINE SPECIFIC ELECTIVE PAPERS FOR MATHEMATICS HONOURS

SEMESTER- V: DSE PAPER – I: NUMBER THEORY                  PAPER CODE: 5533
CO1: To gain the knowledge of Arithmetical functions.
CO2: To understand the basic knowledge of multiplicative function.
CO3: To gain the knowledge of theory of congruence’s
CO4: To understand the Lagrange’s theorem and application of Lagrange’s theorem
CO5: To study the Quadratic residues and Quadratic non – residues

SEMESTER- V: DSE PAPER – II: PROBABILITY AND STATISTICS   
                                                                                                                 PAPER CODE: 5534
CO1: To gain knowledge of Mathematical expansions of random variable.
CO2: To know basic definitions and concept of generating functions.
CO3: To gain knowledge of distribution functions for discrete type.
CO4: To know various types of distributions for discrete type.
CO5: To gain knowledge of uniform, exponential, normal distributions for continuous type.

SEMESTER- VI: DSE PAPER –III: LINEAR PROGRAMMING      
                                                                                                                      PAPER CODE: 6633
CO1: To study the basic definitions and concepts of LPP and methods.
CO2: To gain knowledge of types of Transportation problems and its applications
CO3:  To study basic definitions and concepts of solving assignment problems.
CO4: To understand the Game theory and its applications.
CO5: To know the network scheduling PERT and CPM techniques.

SEMESTER- VI: DSE PAPER –IV: DIFFERENTIAL GEOMETRY  
                                                                                                                     PAPER CODE: 6634
CO1: To gain knowledge of basic concepts of theory of space curves.
CO2: To understand the local intrinsic properties of a surface.
CO3: To gain knowledge of the Geodesic equations and Canonical equations
CO4: To study basic definitions of first and second fundamental forms of a surface.
CO5: To study developable surface and minimal surface.

GENERIC ELECTIVE PAPERS FOR MATHEMATICS HONOURS

SEMESTER- II: GE PAPER – II:  ECONOMETRIC STATISTICS      
                                                                                                                   PAPER CODE: 2233
CO1: To study the scope of statistics and basic concepts of statistics.
CO2: To study the diagrammatic representation of data
CO3: To study the concept of measure of central tendency
CO4: To study the concept of measure of dispersions
CO5: To study the scope of Econometrics and concept of linear models.

SEMESTER- III: GE PAPER – III:  INFORMATION SECURITY   
                                                                                                                  PAPER CODE: 3334
CO1: To study the basic concepts on overview of security.
CO2: To observe the security threats and common threats.
CO3: The student can learn about the new concept of Cryptography
CO4: To gain the good knowledge on net work system and security.
CO5: To learn about good knowledge on administrating security, information and law.

SEMESTER- IV: GE PAPER – IV:  COMBINATORIAL MATHEMATICS  
                                                                                                                  PAPER CODE: 4434
CO1:  To study the basic definitions and concepts of counting principles, permutations and combination. .
CO2: To know the various techniques of generating functions.
CO3: To understand the scope and recurrence relations by generating functions.
CO4: To develop a Perception about principles of inclusion and exclusion. .
CO5: To know the basic definitions and concepts of graph theory and trees.

                                                 DEPARTMENT OF MATHEMATICS
COURSE OUTCOMES FOR UG 2018-2019
B.Sc. COMPUTER SCIENCE  HONOURS
                   
SEMESTER- I: GE PAPER – I: ELEMENTARY MATHEMATICS     
                                                                                                                  PAPER CODE: 1123-A
CO1: To study definitions and basic concepts of matrix algebra
CO2: To know the knowledge of determine the adjoint, inverse and rank of matrix
CO3: To understand solving methods of linear systems in various techniques.
CO4: To gain knowledge of numerical concepts and the solution of algebraic transcendental equations.
CO5: To know about the study of finite difference and interpolation.

SEMESTER- II: GE PAPER – II: DIFFERENTIAL EQUATIONS  
                                                                                                                 PAPER CODE: 2223-A
CO1: To study definitions and basic concepts of D.E and orthogonality trajectories.
CO2: To know various techniques of integrating factor.
CO3: To study various techniques of higher order linear homogeneous differential equations
CO4: To study various techniques of higher order linear non homogeneous differential equations
CO5: To gain knowledge about methods of solving higher order differential equations



SEMESTER- III: GE PAPER – III:   VECTOR CALCULUS     PAPER CODE: 3324-A
 CO1: To study the concept of vector differentiations and understand the Gradient of scalar point function.
CO2: To gain knowledge in curl of vector and divergence of vectors and its applications.
CO3: To study the concept of vector identities.
CO4: To gain knowledge of vector integration and volume integral
CO5: To study the concept of Gauss divergence, Greens, Stoke’s theorems and its applications.

SEMESTER- IV: GE PAPER – IV: FUNDAMENTALS OF MATHEMATICAL STATISTICS                                                                                    PAPER CODE: 4424-A
CO1: To understand basic concepts, scope and limitations of Mathematical statistics.
CO2: To study the measure of central tendency.
CO3: To study the measure of dispersion.
CO4: To gain knowledge of measure of skewness and kurtosis
CO5: To understand the concepts of measure of correlation coefficient and regression.

SEMESTER- II: CORE PAPER – IV: DESCRETE STRUCTURES 
                                                                                                                   PAPER CODE: 2222-A
CO1: To study basic definitions and concepts of set theory.
CO2: To gain knowledge of concepts of Mathematical logics.
CO3: To understand the concepts of normal form and solving techniques.
CO4: To study the theory of inference for the statement calculus.
CO5: To gain knowledge of basic definitions and concepts of graph theory.




                                              DEPARTMENT OF MATHEMATICS
COURSE OUTCOMES FOR UG 2018-2019
B.Sc. FOOD TECHNOLOGY AND MANAGEMENT

 SEMESTER- I: GE PAPER- I: APPLIED MATHEMATICS - I    PAPER CODE: 1151
CO1: To study basic definitions and concepts of sets and relations..
CO2: To study basic definitions and concepts of matrix.
CO3: To gain knowledge of solving techniques of inverse and rank of a matrix..
CO4: To determine appropriate derivative methods and differential methods of solving mathematical problems.
CO5: To understand various techniques in differential equations.
                                                                                                                             
SEMESTER- II: GE PAPER – II: APPLIED MATHEMATICS - II   
                                                                                                           PAPER CODE: 2254
CO1: To study the measures of angle, ratio of trigonometric functions..
CO2: To gain knowledge of increasing and decreasing functions and also know the applications of maxima and minima of functions.
CO3: To determine various techniques of quadratic equations.
CO4: To gain knowledge of sign of quadratic equations.
CO5: To understand various techniques of some different functions.





DEPARTMENT OF MATHEMATICS
COURSE OUTCOMES FOR UG 2018-2019
FOUNDATION COURSE

SEMESTER- IV: FOUNDATION COURSE- 8: ANALYTICAL SKILLS     
                                                                                                           PAPER CODE: 4401-1-A
CO1: To learn about different types of data analysis.
CO2: To analyze questions pertaining to sequences and series analogical system..
CO3: To gain knowledge of arithmetic ability and numerical skills.
CO4: To know the concept of quantitative aptitude and its techniques.
CO5: To know the concept of business computations techniques.





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