11thMat-2 Course Topics
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Unit 4 Combinatorics |
Factorials - definition and examples; Permutations -
fundamental principle of counting, permutation of distinct
objects, not all distinct objects, |
simple problems;
Combinations - definition, relation between Permutation
and combinations, properties, simple problems |
Mathematical Induction - principles, simple problems |
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Unit 5 Finite and
Infinite Series |
Binomial theorem - Binomial theorem for positive integral index (proof using combinations and also by induction),
applications of binomial theorem; |
Sequence and Series -
AP, GP, HP: Terms and Sum of AP and GP, Arithmetic
and Geometric means. Problems on sum of finite series,
Arithmetico-geometric progression |
telescopic sums for series |
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Unit 5 Finite and Infinite Series |
Infinite Geometric Series; Infinite Arithmetico - Geometric
Series; Infinite series using principle of telescopic sums;
Exponential and logarithmic series (without proof);
Binomial theorem for all rational index as an infinite
series (without proof) |
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Unit 6 :
Two Dimensional Analytic geometry – I |
Locus of a point - definition and simple examples;Straight lines - various forms of equation: Slope – point,Slope – intercept, two points, intercepts |
normal and
parametric forms; general form; related problems |
Pair of
Straight lines - equation of a pair of straight lines,
problems related with:distance of a point from a line, distance between two parallel lines, equation of a line bisecting the angle
between two lines
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