Principle of Mathematical Induction

Submitted by pradipta pramanik on Sat, 02/26/2011 - 17:07

Principle of Mathematical Induction : Statement of the principle. Proof by induction for the sum of squares, sum of cubes of first n natural numbers, divisibility properties like 22n–1 is divisible by 3 (n≥1), 7 divides 32n+1+2n+2(n≥1).

Related Items

Syllabus for Biological Science [WBJEE]

SYLLABUS FOR WEST BENGAL JOINT ENTRANCE EXAMINATION BIOLOGICAL SCIENCES

Unit of Life : Definition of life, Cell as the basic unit of life. Cell theory, Prokaryotic and Eukaryotic cell –structure and differences.

Modern Physics

Modern Physics : Bohr’s atomic model for hydrogen like atom, hydrogen spectrum, x-ray emission, Moseley’s law, wave particle duality, de Broglie’s hypothesis, photo-electric effect.
Constituents of atoms, isotopes, mass defect, mass-energy equivalence, binding energy. radioactivity - α, β, γ radiation, half life, mean life, fission, fusion.
Energy bands in solids, intrinsic and doped semiconductors, p-n junction diode, rectifier, pnp and npn transistors, common emitter characteristics.