Maths HSC Commerce (English Medium) 11th Standard Maharashtra State Board Syllabus 2026-27

• Introduction
• Methods of Set Representation
• Number Sets with Different Methods
• Representing Sets Using Pictures
• Representing Sets Using Brackets
• Key Points Summary

1. Open Interval
2. Closed Interval
3. Semi-closed Interval
4. Semi-open Interval

1. Ordered Pair
2. Cartesian Product of two sets
3. Number of elements in the Cartesian product of two finite sets
4. Relation (Definition)

• Arrow form/Venn Diagram Form
• Ordered Pair(x, y)
• Rule / Formula
• Tabular Form 
• Graphical form

Constant Function
- Identity function
- Linear Function
- Quadratic Function
- Function of the form - Square Function, Cube Function
- Polynomial Function
- Rational Function
- Exponential Function 
- Logarithmic Function

• Signum function
• Absolute value function (Modulus function)
• Greatest Integer Function (Step Function)

• N^th Term of Geometric Progression (G.P.)
• General Term of a Geometric Progression (G.P.)
• Sum of First N Terms of a Geometric Progression (G.P.)
• Sum of infinite terms of a G.P.
• Geometric Mean (G.M.)

Properties of Geometric Progression.

• Sum to infinite terms of a G.P.

• Arithmetic mean (A. M.)
• Geometric mean (G. M.) 
• Harmonic mean (H. M.)

Properties of Sigma Notation

• Equation of a locus

• Inclination of a line
• Slope of a line
• Perpendicular Lines
• Angle between intersecting lines

• Slope-Point Form
• Slope-Intercept  form
• Two-points  Form
• Double-Intercept  form
• Normal  Form 
• General  form 

• Property 1 - The value of the determinant remains unchanged if its rows are turned into columns and columns are turned into rows.
• Property 2 -  If any two rows  (or columns)  of a determinant are interchanged then the value of the determinant changes only in sign.
• Property 3 - If any two rows ( or columns) of a  determinant are identical then the value of the determinant is zero.
• Property  4  -  If each element of a row (or column)  of a determinant is multiplied by a  constant k then the value of the new determinant is k times the value of the original determinant.
• Property  5  -  If each element of a row (or column) is expressed as the sum of two numbers then the determinant can be expressed as the sum of two determinants
• Property  6  -  If a constant multiple of all elements of any row  (or column)  is added to the corresponding elements of any other row  (or column  )  then the value of the new determinant so obtained is the same as that of the original determinant. 
• Property 7 -  (Triangle property) - If all the elements of a  determinant above or below the diagonal are zero then the value of the determinant is equal to the product of its diagonal elements.

• One-Sided Limit
• Right-hand Limit
• Left-hand Limit
• Existence of a limit of a function at a point x = a

• Evaluation of Limits when X → ∞
• Evaluation of Limits of the form 1^∞

• Theorem 1. Derivative of Sum of functions
• Theorem 2. Derivative of Difference of functions.
• Theorem 3. Derivative of Product of functions.
• Theorem 4. Derivative of Quotient of functions.

• Demand function
• Marginal Demand (MD)
• Supply function(S)
• Total cost function (C)
• Marginal Cost (MC)
• Revenue and Profit Functions
• Total Revenue (R)

- Variance and Standard Deviation for raw data:
- Variance and Standard Deviation for ungrouped frequency distribution:
- Variance and Standard Deviation for grouped frequency distribution :

• Meaning of Correlation
• Types of correlation

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

• Scatter Diagram
• Karl Pearson’s Correlation Coefficient

Properties of correlation coefficient r(x, y)

Properties of the factorial function

• Independent Events

• Definition:  Linear lnequations 
• Signs of Inequality
• Definition: Replacement Set / Domain of Variable
• Definition: Solution Set
• Properties

• Rules to solve inequation

Consider linear inequalities in two variables x and y

• Introduction
• Definition: Depreciation
• Origin and Meaning of the Word “Depreciation”
• Exceptions to Depreciation
• Causes of Depreciation
• Examples: Causes of Depreciation
• Importance of Charging Depreciation
• Examples: Importance of Charging Depreciation
• Conditions for Charging Depreciation
• Depreciation vs. Provisions vs. Reserves
• Examples: Depreciation vs. Provisions vs. Reserves
• Key Takeaways