Business Mathematics and Statistics HSC Commerce Class 11 Tamil Nadu Board of Secondary Education Syllabus 2024-25

1.1.1 Recall

Matrix 
Order of a matrix
General form of a Matrix
Types of matrices
Row matrix
Column matrix
Zero matrix (or) Null matrix 
Square matrix
Triangular matrix
Diagonal matrix
Scalar matrix
Unit matrix (or) Identity matrix
Multiplication of a matrix by a scalar
Negative of a matrix
Equality of matrices
Addition and subtraction of matrices
Multiplication of matrices
Transpose of a matrix

1.1.2 Minors 

1.1.3 Cofactors

1.1.4 Properties of determinants

•  Inverse of a nonsingular matrix by elementary transformation
•  Inverse of a square matrix by adjoint method

1.3.1 The Hawkins – Simon conditions

• Rational Expression 
• Partial Fractions

2.1.1 Denominator contains non-repeated Linear factors

2.1.2 Denominator contains Linear factors, repeated n times 

2.1.3 Denominator contains quadratic factor, which cannot be factorized into linear factors

• Permutation
• Permutation of repeated things
• Permutations when all the objects are not distinct
• Number of Permutations Under Certain Restricted Conditions
• Circular Permutations

• Properties of Combinations

• Binomial Coefficients
• Binomial theorem for positive integral inde

• Equation of a locus

3.2.1 Recall

• Various forms of Straight Lines

3.2.2 Angle between two straight lines

3.2.3 Distance of a point from a line 

3.2.4 Concurrence of three lines

• Conditions for three given straight lines to be concurrent

3.3.1 Combined equation of the pair of straight lines

3.3.2 Pair of straight lines passing through the origin

3.3.3 Angle between pair of straight lines passing through the origin

3.3.4 The condition for general second degree equation to represent the pair of straight

lines

•  Equation of the bisectors of the angle between the lines
•  General form of Pair of Straight Lines

3.4.1 The equation of a circle when the centre and radius are given

3.4.2 Equation of a circle when the end points of a diameter are given

3.4.3 General equation of a circle

3.4.4 Parametric form of a circle 

3.4.5 Tangents 

• Length of the tangent to the circle

3.5.1 Parabola

3.5.2 Definitions regarding a parabola: y² = 4ax

3.5.3 Other standard parabolas

3.5.4 General form of the standard equation of a parabola, which is open rightward 

4.1.1 Quadrants

4.1.2 Signs of the trigonometric ratios of an angle θ as it varies from 0º to 360º

4.1.3 Trigonometric ratios of allied angles

4.2.1 Compound angles

4.2.2 Sum and difference formulae of sine, cosine and tangent

4.2.3 Trigonometric ratios of multiple angles

4.3.1 Transformation of the products into sum or difference

4.3.2 Transformation of sum or difference into product

• Introduction of Inverse Trigonometric Functions

• Quantity
• Constant
• Variable
• Intervals 

1. Open interval
2. Closed interval

• Neighbourhood of a point
• Function
• Classification of functions
• Even and odd functions 
• Explicit and implicit functions
• Constant function
• Identity function 
• Modulus function 
• Signum function
• Step function
• Rational function
• Polynomial function 
• Linear function 
• Quadratic function
• Exponential function
• Logarithmic function
• Sum, difference, product and quotient of two functions
• Graph of a function

• Existence of limit
• Algorithm of left hand limit
• Algorithm of right hand limit
• Some results of limits
• Indeterminate forms and evaluation of limits
• Methods of evaluation of algebraic limits
• Some standard limits
• Continuous function
• Some properties of continuous functions
• Differentiability at a point
• Left hand derivative and right hand derivative
• Differentiation from first principle
• Derivatives of some standard functions using first principle

• Some standard results
• General rules for differentiation
• Derivative of implicit functions 
• Logarithmic differentiation
• Differentiation of parametric functions
• Differentiation of a function with respect to another function
• Successive differentiation

• Demand, supply, cost, revenue and profit functions

• Demand function
• Supply function
• Cost function
• Revenue function

• Elasticity

1. Price elasticity of demand
2. Price elasticity of supply

• Increasing and decreasing functions
• Stationary Value of a function
• Local and Global (Absolute) Maxima and Minima

• Problems on profit maximization and minimization of cost function
• Inventory control 
• Economic Order Quantity (EOQ)

• Successive partial derivatives
• Euler’s theorem and its applications

• Production function and marginal productivities of two variables
•  Partial elasticity of demand

• Types of annuities

1. Based on the number of periods
2. Based on the mode of payment

• Types of shares
• Definitions

• Average 
• Related Positional Measures - Quartiles, Deciles and Percentiles
• Computations for Related positional measure
• Geometric mean 
• Harmonic mean
• Relationship among the averages 
• Mean
• Median
• Mode
• Computing Mean from Ungrouped Data
• Computing Mean from Grouped Data

• Quartile Deviation
• Mean deviation

• Basic concepts of Probability
• Independent and Dependent events
• Conditional Probability
• Baye’s Theorem
• Axiomatic approach to Probability
• ODDS

• Meaning of Correlation
• Types of correlation

1. Positive Correlation
2. Negative Correlation
3. Simple correlation

• Scatter Diagram
• Karl Pearson’s Correlation Coefficient

• Spearman’s Rank Correlation Coefficient 

• Dependent and independent variables
• Regression Equations

• Meaning of Linear Programming Problem
• Mathematical formulation of a linear programming problem
• Familiarize with terms related to Linear Programming Problem

• Construction of network
• Critical path analysis