Sequence of real numbers, Convergence of sequences, Bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, Subsequences, Bolzano-Weierstrass theorem. Series of real numbers, Absolute convergence, Tests of convergence for series of positive terms — comparison test, ratio test, root test; Leibniz test for convergence of alternating series. Functions of One Real Variable:
History of India and Indian National Movement. General issues on Environmental ecology, Bio-diversity and Climate Change — that do not require subject specialization. Class X levelData interpretation charts, graphs, tables, data sufficiency etc. They will be expected to keep closely to the subject of the essay to arrange their ideas in orderly fashion, and to write concisely.
Modern Indian history from about the middle of the eighteenth century until the present- significant events, personalities, issues.
Post-independence consolidation and reorganization within the country. History of the world will include events from 18th century such as industrial revolution, world wars, redrawal of national boundaries, colonization, decolonization, political philosophies like communism, capitalism, socialism etc.
Salient features of Indian Society, Diversity of India. Distribution of key natural resources across the world including South Asia and the Indian sub-continent ; factors responsible for the location of primary, secondary, and tertiary sector industries in various parts of the world including India.
Important Geophysical phenomena such as earthquakes, Tsunami, Volcanic activity, cyclone etc. India And Its Neighborhood- Relations.
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