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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