LNMU B.Sc. Part-2 Mathematics Honours Syllabus
LNMU B.Sc. Part-2 Mathematics Honours Syllabus. Time: 3 Hours Full Marks: 100 Paper-3 Twelve questions to be set and six to be answered. Differential Calculs: Definition of the limit of a function, Basic properties of limits Continuous functions and classification of discontinuous. Differentiability Successive differentiation. Leibnitz's theorem, Maclaurin and Taylore series expansions, Partial differentiation Euler's theorem, Tangents and normals. Curvature. [4 questions] Integral Calculus: Integration of irrational algebraic functions and transcendental functions, Reduction formulae, Definite integrals. Quadrature. Rectification. Volumes and surfaces of solids of revolution, Continuity, Sequential continuity Properties of continuous function. Uniform continity. Chain rule of differentiability. Mean value theorems and their geometrical interpretations. Darboux's intermediate value theoremfor derivatives. Taylor's theorem with various forms of remainders