Burdwan University Math Pass Syllabus

I am student of Bsc 2nd year mathematics in Burdwan University. Now I will take admission in Burdwan University so I want to get syllabus detail of Bsc 3rd year. Can you give me detail about this?

Can you provide me the Syllabus for B.Sc. (General) in Mathematics offered by University of Burdwan as I want to check it before taking admission in it?

[pooja]

The Syllabus for B.Sc. (General) in Mathematics offered by University of Burdwan is as follows:

Part-I

Paper I

Group A

Differential Calculus (Marks - 40)

Rational and Irrational numbers, Linear continuum, Functions, limit of functions, Algebra of limits, Continuous functions, Properties of continuous functions, Monotone functions, Inverse function.

Derivative and its applications, Successive differentiation, Leibnitzs theorem, Rolles theorem, Mean value theorem of Lagrange and of Cauchy with geometrical interpretations Taylors theorem and Maclaurins theorem with remainder in Lagranges and Cauchys form, and application of mean value theorem, Darbouxs theorem Series expansion of n x sin x, cos x, log 1+ x , 1+ x , a with domain of convergence. Determination of maxima and minima, Indeterminate forms.

Sequence and its convergence, Cauchys Criteria of convergence Tests of convergence, Infinite series of constant terms, comparison test, DAlemberts ratio test, Cauchys root test, Raabes, test, Logarithmic test, Gauss test. Alternating series, Leibnitzs test for alternating series (proofs are not required).

Functions of several variables, repeated and simultaneous limits, continuity, partial derivatives, total differentials, directional derivatives Eulers theorem on homogeneous functions of two and three variables.

Rectilinear asymptotes, Envelopes, Curvature, Radius of curvature, tangent and normal, pedal equation of a curve.


Syllabus for B.Sc. (General) in Mathematics University of Burdwan