In Class XI, the mathematics curriculum usually focuses on building a strong foundation in various mathematical concepts and introducing new topics that prepare students for more advanced mathematics in Class XII. Here’s a brief overview of the modules typically covered in a Class XI mathematics curriculum:

1. Sets and Functions:
   • Sets, types of sets, and operations on sets
   • Relations and functions, including types of relations and functions
   • Composition of functions and invertible functions
2. Algebra:
   • Principle of mathematical induction
   • Complex numbers and their properties
   • Quadratic equations and their solutions
   • Arithmetic and geometric progressions
   • Binomial theorem and its applications
3. Coordinate Geometry:
   • Cartesian coordinates in two dimensions
   • Straight lines, slope, intercepts, and various forms of equations of lines
   • Circles and their equations
   • Conic sections: parabola, ellipse, and hyperbola
4. Calculus:
   • Introduction to calculus and its significance
   • Limits, continuity, and differentiability
   • Derivatives and their applications
   • Differentiation of trigonometric, exponential, and logarithmic functions
   • Rate of change, tangent, and normal lines
5. Mathematical Reasoning:
   • Statements, logical connectives, and compound statements
   • Validity of statements and logical operations
   • Mathematical induction as a proof technique
   • Implication, converse, inverse, and contrapositive statements
6. Statistics and Probability:
   • Introduction to statistics and data representation
   • Measures of central tendency and dispersion
   • Probability: concepts, addition and multiplication rules, and conditional probability
   • Random experiments, outcomes, and sample spaces
7. Introduction to Three-dimensional Geometry:
   • Coordinates in three dimensions
   • Direction cosines and ratios
   • Distance and section formulas
   • Equations of lines and planes in space
8. Linear Inequalities:
   • Linear inequalities in one and two variables
   • Graphical representation of inequalities
   • Solution of systems of linear inequalities
9. Permutations and Combinations:
   • Fundamental principles of counting
   • Permutations and combinations
   • Binomial theorem for positive integral indices
10. Introduction to Mathematical Modeling:
    • Basics of mathematical modeling
    • Formulation of real-life problems using mathematics
    • Conversion of problems into mathematical equations