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ASSESSMENT PATTERN FOR CLASS XII:
CLASS XII – SESSION: 2019-2020
1. Fundamentals of Calculus
Basics of Limits & continuity, differentiation of non-trigonometric functions, Basic applications of derivatives in finding Marginal cost, Marginal Revenues etc. Increasing and Decreasing Functions, Maxima / Minima.
Integration as reverse process of differentiation, integration of simple algebraic functions.
Introduction of Matrices, Algebra of Matrices, Determinants of Square matrices (Application only).
3. Logical Reasoning
Number series, Coding, decoding and odd man out, direction tests, blood relations, syllogism, Binary numbers, analytic operations and truth table.
4. Commercial Mathematics
Calculating EMI, calculations of Returns, Compound annual growth rate (CAGR), Stocks, Shares, Debenture, valuation of Bonds, GST, Concept of Banking.
Introduction to probability of an event, Mutually exclusive events, conditional probability, Law of Total probability.
Basic application of Probability Distribution (Binomial Distribution, Poisson
Distribution and Normal Distribution).
6. Two dimensional Geometry
7. Linear Programming
Introduction, related analogue such as constraints, objective function, optimization, different types of LP, mathematical formulation of LP problem, graphical adjustment of solution for problems in two variables.
8. Analysis of time based Data
a. Index numbers: meaning and uses of index number, construction of index numbers, construction of consumer price indices.
b. Time series & trend analysis: Component of time series, additive models, Finding trend by moving average method.
TOTAL MARKS (THEORY)
SUGGESTIVE PROJECTS (FOR 30 MARKS)
Collect the abstracts from athenaeum about accidents of Blue Line buses and analyze with those of DTC buses. Verify whether DTC buses are significantly safer.
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