Course Outcomes (CO)

Course Outcomes

B.Sc. I :Semester I: Paper No. MAT 101 : Differential Calculus

CO 1:  Understand the concept of derivative. Study of hyperbolic functions and its derivatives.

CO2:   Understand the formulae for  derivative of some standard functions, and application of  Leibnitz’s theorem.

CO3:   Rolle’s theorem, Lagrange’s and Cauchy’s mean value theorem and applications of Maclaurin’s  theorem.

CO4:   Study partial differentiation and Euler’s theorem on homogeneous functions.

CO5:   Study gradient of scalar point function, properties of divergence and curl.

Paper No. MAT 102 : Differential Equations

CO 1:  Study exact and linear differential equations.

CO2:   Understand the methods of solution of linear differential equations with constant coefficients.

CO3:   Understand the methods of finding solutions of linear equations with variable coefficients.

CO4:   Knowledge of exact differential equations  and its criterion.

CO5:   Understand the methods of solutions of ordinary differential equations with more than two variables.

CO6:   Practice of methods of solving Partial Differential Equations.

Semester-II  Paper No. MAT 201 : Integral Calculus

CO 1:  Understand the methods of Integration.

CO2:   Knowledge of integration of algebraic and trigonometric functions.

CO3:   Understand definite integral as the limit of a sum.

CO4:   Understand the applications of integration to obtain areas, Volumes of surfaces.

Paper No. MAT 202 : Geometry

CO 1:  Study different forms of equations of a plane

CO2:   Study standard forms of equations of cones, cylinders and conicoid.

B.Sc. II :Semester III

Paper No.  MAT 301 : Number Theory

CO 1:  Understand the Division Algorithm, Euclidean Algorithm and the fundamental theorem of Arithmetic.

CO2:   Study the theory of congruences and Fermat’s theorem.

CO3:   Study Number-Theoretic functions and Euler’s generalization of Fermat’s theorem.          

Paper No.  MAT 302 : Integral Transforms

CO 1:  Study of Beta Gamma functions and their properties.

CO2:   Knowledge of  Laplace and Inverse Laplace transforms and the theorems on these transforms.

CO3:   Applications of Laplace transforms to solve differential equations.

CO4:   Knowledge and application of different forms of Fourier transforms.

Paper No.  MAT 303 : Mechanics I

CO 1:  Study of  resultant of forces acting on a particle.

CO2:   Understanding  the conditions of equilibrium of forces acting on a particle.

CO3:   Study of moment of forces, couples acting on rigid body and their applications.

CO4:   Understanding centre of gravity and study centre of gravity of some uniform bodies.

B.Sc. II : semester IV

Paper No.  MAT 401 : Numerical Methods

CO 1:   Understand and use of different numerical methods to solve algebraic equations.

CO2:   Study and applications of interpolation formulae.

CO3:   Study of methods of curve fitting and approximations.

CO4:   Use of different methods of solution of  linear equations.

CO5:   Study of numerical solutions of ordinary differential equations.

Paper No.  MAT 402 : Partial Differential Equations

CO 1:  Study of  linear and non linear partial differential equation of first order.

CO2:   Study of  linear homogeneous and non-homogeneous partial differential equations.

CO3:   Understand and apply the methods of partial differential equations of second order.

Paper No.  MAT 403 : Mechanics II

CO 1:  Understanding Kinematics and Dynamitic of particles in two dimensions.

CO2:   Study of kinematics of a particle.

CO3:   Study of  motion of projectile and motion in a resisting medium.

CO4:   Study of central orbits.

B.Sc. (Third Year) (Fifth Semester)

Paper No.  MAT 501 : Real Analysis I

CO 1:  Understanding functions and its types.

CO2:   Study of different types sequences of real numbers and their behaviors.

CO3:   Study of  types of series and its convergence.

CO4:    Study of Jacobians of functions.

Paper No.  MAT 502 : Abstract Algebra I

CO 1:   Understanding and study of algebraic structure group, its types and relation between them.

CO2:   Study of ring theory: types of ring, ideals, quotient and polynomial rings.

Paper No.  MAT 503 : Mathematical statistics I

CO 1:  Study of frequency distribution and to study different measures of central tendency.

CO2:   Study of measures of dispersion, skewness and kurtosis.

CO3:   Understanding of concept of probability and study theory of probability.

CO4:   Study of  random variables and distribution functions.

B.Sc.  (sixth Semester)

Paper No.  MAT 601 : Real Analysis II

CO 1:   Understanding the concept of metric space and  study of  limits in metric space.

CO2:   Study of continuous functions on metric spaces.

CO3:   Understanding   and study of connectedness, completeness and compactness.

CO4:   Understand Riemann integral and to study fundamental theorem of calculus.

CO5:   Study of Fourier series.

Paper No.  MAT 602 : Abstract Algebra II

CO 1:   Understand elementary basic concept of vector spaces.

CO2:   Study of linear independence and bases of vector spaces.

CO3:   Study of  Dual spaces, Inner product spaces and Modulus.

Paper No.  MAT 603 : Mathematical statistics II

CO 1:  Study of mathematical expectations and generating functions.

CO2:   Study of different kinds of theoretical discrete and continuous probability distributions..

CO3:   Study of correlation and regression and their properties.

Note: Five lectures per week per paper for each semester