Syllabus Pure Mathematics

Total Marks 150 PURE MATHEMATICS Standard same as for degree examination. 3,202 Views

Pure Mathematics Total Marks 150 (i) Trigonmetry De – Moivre’s Theorem Hyperbolic and inverse Hyperbolic functions. Summations of Trigonometric series. Standard same as for degree examination. (ii)(a) Analytical Plane geometry—Rectangular and Polar Co-ordinates, the Straight lines. Parallel lines, points at infinity, line at infinity, pair of straight lines, simple case of Harmonic ranges and Pencils….

Pure Mathematics Total Marks – 200 Paper II Marks – 100 Candidates will be asked to attempt any three questions from Section A and two questions from Section B Section A Calculus and Real Analysis 1. Real numbers, limits, continuity, differentiability, indefinite integration, mean value theorems. Taylor’s theorems, indeterminate form. Asymptotes, curve tracing, definite integrals,…

Pure Mathematics Total Marks – 200 Paper I Marks – 100 Candidates will be asked to attempt three questions from Section A and two questions from Section B Section A Modern Algebra 1. Groups, subgroups, languages, theorem, cyclic groups, normal sub-groups, quotient groups, fundamental theorem of homomorphism. Isomorphism theorems of groups, inner automorphisms. Conjugate elements,…

Pure Mathematics (100 Marks) Section-A (40- marks) I. Modern Algebra Group, subgroups, Lagranges theorem, Cyclic groups, Normal subgroups, Quotient groups. Fundamental theorem of homomorphism. Isomorphism theorems of groups, Inner automorphisms. Conjugate elements, conjugate subgroups. Commutator subgroups. Ring, Subrings, Integral domains, Quotient fields, Isomorphism theorems, Field extension and finite fields. Vector spaces, Linear independence, Bases, Dimension…