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SYLLABUS
Algebra
Chapter-1
complex Numbers (13 Periods) 1.1 Complex number as an ordered pair of real numbers. Fundamental operations 1.2 Representation of complex number in the form a + ib 1.3 Modulus and Amplitude of a complex number-Illustrations 1.4 Geometrical and Polar representation of complex number in Argand plane - Argand diagram
Chapter-2
De Moivre’s Theorem (10 Periods) 2.1 De Moivre’s Theorem - Integral and Rational Indices 2.2 nth roots of unity - Geometrical Interpretations - Illustrations
Chapter-3
quadratic expressions (08 Periods) 3.1 Quadratic Expressions, Equations in one Variable 3.2 Sign of quadratic expressions - Change in signs and Maximum and Minimum values 3.3 Quadratic Inequations
Chapter-4
theory of equations (21 Periods) 4.1 Relation between the roots and the coefficients in an equation 4.2 Solving an equation when two or more of its roots are connected by certain relations 4.3 Equations with real coefficients - occurrence of complex roots in conjugate pairs and its consequences 4.4 Transformation of equations - Reciprocal equations
Chapter-5
permutations and combinations (23 Periods) 5.1 Fundamental Principle of counting - Linear and Circular permutations 5.2 Permutations of n dissimilar things taken r at a time 5.3 Permutations when repetitions are allowed 5.4 Circular Permutations 5.5 Permutations with Constraint repetitions 5.6 Combinations - Definitions and Certain Theorems
Chapter-6
binomial theorem (24 Periods) 6.1 Binomial Theorem for positive integral index 6.2 Binomial Theorem for Rational Index 6.3 Approximations using Binomial Theorem
Chapter-7
partial fractions (07 Periods) 7.0 Rational Fractions 7.1 Partial Fractions of f(x) /g(x), when g(x) contains non - repeated linear factors 7.2 Partial Fractions of f(x) /g(x), when g(x) contains repeated and /or non-repeated linear factors 7.3 Partial Fractions of f(x) / g(x), when g(x) contains irreducible factors Probability
Chapter-8
Measures of dispersion (15 Periods) 8.1 Range 8.2 Mean Deviation 8.3 Variance and Standard Deviation of ungrouped /grouped data 8.4 Coefficient of Variation and analysis of frequency distributions with equal means but different variances
Chapter-9
Probability (18 Periods) 9.1 Random Experiments and Events 9.2 Classical definition of probability, Axiomatic approach and addition theorem of probability 9.3 Independent and Dependent events, Conditional Probability, Multiplication Theorem and Baye’s Theorem
Chapter-10
Random variables and probability distributions (11 Periods) 10.1 Random Variables 10.2 Theoretical discrete distributions - Binomial and Poisson distributions
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CategoriesGeneral Mathematics
Format EPUB
TypeeBook