11th Standard - old Business Maths / வணிகக் கணிதம் Subjects Question Paper Software Subscription

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11th Standard - old Business Maths English Medium Chapters / Lessons 2022-2023

Matrices and Determinants

Algebra

Sequences and Series

Analytical Geometry

Trigonometry

Functions and their Graphs

Differential Calculus

Intergral Calculus

Stocks , Shares and Debentures

Statistics

11th Standard - old Business Maths English Medium Chapters / Lessons 2022-2023

Matrices and Determinants

Algebra

Sequences and Series

Analytical Geometry

Trigonometry

Functions and their Graphs

Differential Calculus

Intergral Calculus

Stocks , Shares and Debentures

Statistics

11th Standard - old Business Maths English Medium Chapters / Lessons 2022-2023 Syllabus

Matrices and Determinants

Order - Types of matrices - Addition and subtraction of matrices and Multiplication of a matrix by a scalar - Product of matrices. Evaluation of determinants of order two and three - Properties of determinants (Statements only) - Singular and non singular matrices - Product of two determinants

Algebra

Partial fractions - Linear non repeated and repeated factors - Quadratic non repeated types. Permutations - Applications - Permutation of repeated objects - Circular permutaion. Combinations - Applications - Mathematical induction - Summation of series using ∑n, ∑n2 and ∑n3. Binomial theorem for a positive integral index - Binomial coefficients

Sequences and series

Harnomic progression - Means of two positive real numbers - Relation between A.M., G.M., and H.M. - Sequences in general - Specifying a sequence by a rule and by a recursive relation - Compound interest - Nominal rate and effective rate - Annuities - immediate and due

Analytical Geometry

Locus - Straight lines - Normal form, symmetric form - Length of perpendicular from a point to a line - Equation of the bisectors of the angle between two lines - Perpendicular and parallel lines - Concurrent lines - Circle - Centre radius form - Diameter form - General form - Length of tangent from a point to a circle - Equation of tangent - Chord of contact of tangents

Trigonometry

Standard trigonometric identities - Signs of trigonometric ratios - compound angles - Addition formulae - Multiple and submultiple angles - Product formulae - Principal solutions - Trigonometric equations of the form sin θ = sinα, cosθ = cosα and tanθ = tan α - Inverse trigonometric functions

Functions and their Graphs

Functions of a real value - Constants and variables - Neighbourhood - Representation of functions - Tabular and graphical form - Vertical line test for functions - Linear functions - Determination of slopes - Power function - 2x and ex - Circular functions - Graphs of sinx, ,cosx and tanx - Arithmetics of functions (sum, difference, product and quotient) Absolute value function, signum function - Step function - Inverse of a function - Even and odd functions - Composition of functions

Integral calculus

Integration - Methods of integration - Substitution - Standard forms - integration by parts - Definite integral - Integral as the limit of an infinite sum (statement only).

Stocks, Shares and Debentures

Basic concepts - Distinction between shares and debentures - Mathematical aspects of purchase and sale of shares - Debentures with nominal rate

Statistics

Measures of central tendency for a continuous frequency distribution Mean, Median, Mode Geometric Mean and Harmonic Mean - Measures of dispersion for a continuous frequency distribution - Range - Standard deviation - Coefficient of variation - Probability - Basic concepts - Axiomatic approach - Classical definition - Basic theorems - Addition theorem (statement only) - Conditional probability - Multiplication theorem (statement only) - Baye’s theorem (statement only) - Simple problems.

Differential calculus

Limit of a function - Standard forms
\(\underset { x\rightarrow a }{ Lt } \frac { { x }^{ n }-{ a }^{ n } }{ x-a } ,\underset { x\rightarrow 0 }{ Lt } { \left( 1-\frac { 1 }{ x } \right) }^{ x },\underset { x\rightarrow 0 }{ Lt } \frac { { e }^{ x }-1 }{ x } ,\underset { x\rightarrow 0 }{ Lt } \frac { log(1+x) }{ x } \\ \underset { x\rightarrow 0 }{ Lt } \frac { sin\theta }{ \theta } \)
(statement only)
Continuity of functions - Graphical interpretation - Differentiation - Geometrical interpretation - Differtentiation using first principles - Rules of differentiation - Chain rule - Logarithmic Differentitation - Differentiation of implicit functions - parametric functions - Second order derivatives.