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COURSE TITLE
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COURSE CODE
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LEARNING OUT COME
On the completion of course , students will able to
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B.Sc./B.A 1st
COURSE -1 Differential Calculus
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MATH101TH
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•determine continuity and differentiability of a function at a point.
•evaluate the limit of Indeterminate form
•understand the general theorems and find the concavity and convexity of curves
•determine the asymptotes of curves and singular point on the curve
•determine the limit and continuity of functions of two variables
•determine the Jacobian of n-functions
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COURSE -2 Differential equations
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MATH102TH
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•understand the basic theory of linear differential equations and find the wronskian of functions
•solve the linear differential equation by using an integrating factor.
•find the solution of homogeneous and non homogeneous linear differential equations with constant coefficient and variable coefficients as a linear combination of complimentary function and particular solution.
•solve the simultaneous differential equations and total differential equations.
•solve the partial differential equations of 1st order, 2nd order and higher order.
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B.SC./B.A 2nd
COURSE-1 Real Analysis
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MATH201TH
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•describe the fundamental properties of the real numbers that underpin the formal development of real numbers.
•demonstrate and understanding of the Theory of sequences and series.
•apply the theories in the course to solve variety of problems at an appropriate level of difficulty.
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COURSE-2 Algebra
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MATH202TH
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•assess properties implied by the definitions of groups and rings.
•analyse and demonstrate example of subgroups, normal subgroups and quotient rings.
•use the concepts of isomorphism and homomorphism of groups and rings.
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COURSE-3 Integral Calculus
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MATH309
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•compute integration by partial fraction, integration of rational and irrational functions.
•understand the Theory of definite integral.
•find the reduction formula for integrals by the method of integration by parts and the method of connecting the integrals
•compute the areas and lengths of curves in the plane, volumes and surfaces of solids of revolution.
•evaluate the double and triple integral of a function.
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COURSE-4 Vector Calculus
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MATH310TH
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•memorize theorems relating directional derivative to gradient.
•compute directional derivative s, gradient, divergence and curl of vector field.
•apply gradients to solve problems involving normal vectors to level surfaces.
•explain the concept of vector differentiation and integration in a plane and space.
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B.Sc./B.A 3RD
COURSE-1 Matrices
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MATH304TH
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•find the rank of matrices.
•solve the Linear Equations by Matrix Method.
•find the characteristic equation and corresponding eigen vectors of a given matrix.
•determine if the given matrix is diagonalizable.
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COURSE-2 Numerical Methods
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MATH304TH
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•understand the theoretical and practical aspects of the use of Numerical Analysis.
•establish the limitations, advantages and disadvantages of numerical methods.
•derive Numerical Methods for various mathematical operations and tasks such as interpolation, differentiation, integration, the solution of linear and nonlinear equations and solution of differential equations.
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COURSE-3 Vector Calculus
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MATH310TH
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•memorize theorems relating directional derivative to gradient.
•compute directional derivative s, gradient, divergence and curl of vector field.
•apply gradient to solve problems involving normal vectors to level surfaces.
•explain the concept of vector differentiation and integration in a plane and space
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