Business Mathematics and Statistics HSC Commerce Class 11 Tamil Nadu Board of Secondary Education Syllabus 2025-26

• Determinants of Matrices of different order
• Properties of Determinants
• Application of Factor Theorem to Determinants
• Product of Determinants
• Relation between a Determinant and its Cofactor Determinant
• Area of a Triangle
• Singular and non-singular Matrices

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

• Inclination of a line
• Slope of a line
• Perpendicular Lines
• Angle between intersecting lines
• Different Forms of an equation of a straight line
• General form to other forms

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

3.5.1 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 

4.2.1 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

• Introduction
• Measures

• 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