## MySkill Academy |

11thMat-2 Course Topics

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 |

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 |

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) | ||

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 |

11thMat-2 Course Plan