B.Sc Mathematics All Subjects List

Give me name of all subject of B.Sc Mathematics course offered by Calcutta university ?

Here I am giving you name of all subject of B.Sc Mathematics course offered by Jamia Millia Islamia university in PDF file attached with it .. some content is given below .

1st semester course :
Code Course
BHM-101 Calculus
BHM-102 Geometry of Two and Three Dimensions

2nd semester :
Code Course
BHM-201 Differential Equations – I
BHM-202 Algebra and Complex Trigonometry

3rd semester :
Code Course
BHM-301 Functions of Several Variables
BHM-302 Group Theory
BHM-303 Programming in C

4th sem
Code Course
BHM-401 Ring Theory
BHM-402 Numerical Methods
BHM-403 Lab: Numerical Methods

5th sem
Code Course
BHM-501 Analysis – I
BHM-502 Differential Equations – II
BHM-503 Metric Spaces
BHM-504 Linear Algebra
BHM-505 Probability and Statistics

6th sem
Code Course
BHM-601 Analysis – II
BHM-602 Geometry of Curves and Surfaces
BHM-603 Complex Analysis
BHM-604 Operations Research and Linear Programming
BHM-605 Mechanics
BHM-606 Viva Voce



BHM-101: Calculus

Unit I Ԑ-δ definition of the limit of a function, Algebra of limits, Continuity, Differentiability, Successive differentiation, Leibnitz theorem, Rolle ’s Theorem, Mean value theorems, Taylor’s and Mclauren’s series.

Unit II Indeterminate forms, Curvature, Cartesian, Polar and parametric formulae for radius of curvature, Partial derivatives, and Euler’s theorem on homogeneous functions.

Unit III Asymptotes, Test of concavity and convexity, Points of inflexion, Multiple points, Tracing of curves in Cartesian and polar coordinates.

Unit IV Reduction formulae, Quadrature, Rectification, Intrinsic equation, Volumes and surfaces of solids of revolution.

Books Recommended: • Gorakh Prasad: Differential Calculus, Pothishalas Pvt Ltd, Allahabad. • Gorakh Prasad: Integral Calculus, Pothishalas Pvt Ltd, Allahabad. • Shanti Narayan: Differential Calculus, S. Chand & Co. • Shanti Narayan: Integral Calculus, S. Chand & Co. • Khalil Ahmad: Text Book of Calculus, World Education Publishers, 2012.

BHM-102: Geometry of Two and Three Dimensions

Unit I General equation of second degree, Pair of lines, Parabola, Tangent, normal. Pole and polar and their properties. Ellipse, Hyperbola, Tangent, normal, pole and polar. Conjugate diameters, Asymptotes, Conjugate hyperbola and rectangular hyperbola.

Unit II Polar equation of a conic, Polar equation of tangent, normal, polar and asymptotes, General equation of second degree, Tracing of parabola, Ellipse and hyperbola.

Unit III Equation of sphere, Tangent plane, Plane of contact and polar plane, Intersection of two spheres, radical plane, Coaxial spheres, Conjugate systems, Equation of a cone, Intersection of cone with a plane and a line, Enveloping cone, Right circular cone.

Unit IV Equation of cylinder, Enveloping and right circular cylinders, Equations of central conicoids, Tangent plane, Normal, Plane of contact and polar plane, Enveloping cone and enveloping cylinder, Conjugate diameters and diametral planes, Equations of paraboloids and its simple properties.

Books Recommended: • Ram Ballabh: Text book of Coordinate Geometry. • S. L. Loney: The elements of coordinate geometry, by Michigan Historical Reprint Series. • Shanti Narayan, Analytical Solid Geometry, S. Chand and Company. • P.K. Jain and Khalil Ahmad: Textbook of Analytical Geometry, New Age International (P) Ltd. Publishers.

BHM-201: Differential Equations – I

Unit I Formulation of differential equations, Order and degree of a differential equation, equations of first order and first degree, solutions of equations in which variables are separable, Homogeneous equations, Linear equations and Bernoulli equations, Exact differential equations, integrating factors, Change of variables.

Unit II Equations of the first order and higher degree, Equations solvable for p, y and x, Clairaut equation, Lagrange’s equation, Trajectories.

Unit III Linear differential equations with constant coefficient, Complementary function and particular integral. Particular integral of the forms , sinax, cosaxand , Homogeneous linear equations.

Unit IV Linear differential equations of second order, Complete solution in terms of known integral belonging to the complementary function, Normal form, Change of independent variable, Method of undetermined coefficients, Method of variation of parameters, Simultaneous equations with constant coefficients, Simultaneous equations of form .

Books Recommended: • C. H. Edwards and D. E. Penny, Differential Equations and Boundary Value Problems: Computing and Modelling, Pearson education, India 2005. • Dennis G. Zill, A first course in differential equations, • S. L. Ross: Differential equations, John Wiley and Sons, 2004. • Zafar Ahsan: Text Book of Differential Equations and their Applications, Prentice Hall of India. • Khalil Ahmad: Text Book of Differential Equations, World Education Publishers, 2012.

Attached Files Available for Download

JMI BSC mathematics syllabus.pdf (138.0 KB, 28 views)

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