This page provides a complete and detailed Class 11 Maths index, covering all the chapters and subtopics as outlined in the NCERT textbook and prescribed by the CBSE curriculum. At Studit, we have designed this resource to help students clearly understand what they need to learn throughout the academic year, whether they are preparing for school exams or competitive entrance tests like JEE.

Understanding mathematics at this level is critical. The concepts introduced in Class 11 lay the groundwork for Class 12 and for various engineering and science entrance exams. This index offers a structured overview that students can use to track their learning and revision more effectively.

Overview of Class 11 Maths Units:

1. Sets and Functions

2. Algebra

3. Coordinate Geometry

4. Calculus

5. Mathematical Reasoning

6. Statistics and Probability

Unit I: Sets and Functions

Chapter 1: Sets

• Introduction to Sets and their Representations

• Types of Sets: Empty, Finite, Infinite, Equal

• Subsets, Power Set, Universal Set

• Venn Diagrams

• Operations on Sets: Union, Intersection, Difference, Complement

Chapter 2: Relations and Functions

• Ordered Pairs and Cartesian Products

• Relations: Definition, Domain, Co-domain, Range

• Functions as Special Relations

• Types of Functions: Constant, Identity, Polynomial, Rational, Modulus, Signum, Exponential, Logarithmic, Greatest Integer

• Operations on Functions

Chapter 3: Trigonometric Functions

• Measurement of Angles in Radians and Degrees

• Trigonometric Functions Using the Unit Circle

• Identities: sin²x + cos²x = 1 and others

• Domain and Range

• Graphs and Properties of Trigonometric Functions

• General Solutions to Trigonometric Equations

Unit II: Algebra

Chapter 4: Principle of Mathematical Induction

• Concept and Motivation

• Process of Proof by Induction

• Simple Applications

Chapter 5: Complex Numbers and Quadratic Equations

• Introduction to Complex Numbers

• Algebraic Properties and Polar Representation

• Argand Plane

• Solving Quadratic Equations with Complex Roots

Chapter 6: Linear Inequalities

• Solutions in One Variable and Two Variables

• Representation on the Number Line and Graphically

Chapter 7: Permutations and Combinations

• Fundamental Principle of Counting

• Factorial Notation

• Derivation of Formulas

• Real-Life Applications

Chapter 8: Binomial Theorem

• Statement and Proof

• Pascal’s Triangle

• General and Middle Terms

• Simple Applications

Chapter 9: Sequences and Series

• Arithmetic Progression (AP), Arithmetic Mean (AM)

• Geometric Progression (GP), Geometric Mean (GM)

• Sum of Series

• Relationship between AM and GM

Unit III: Coordinate Geometry

Chapter 10: Straight Lines

• Basic Concepts of Two-Dimensional Geometry

• Slope of a Line, Angle Between Lines

• Various Forms of Line Equations: Point-Slope, Two-Point, Intercept, Normal Form

• General Equation of a Line

• Distance from a Point to a Line

Chapter 11: Conic Sections

• Introduction to Circles, Parabolas, Ellipses, Hyperbolas

• Standard Equations and Properties

• Degenerated Conic Sections

Chapter 12: Introduction to Three-Dimensional Geometry

• Coordinate Axes and Planes in 3D

• Coordinates of a Point

• Distance and Section Formula

Unit IV: Calculus

Chapter 13: Limits and Derivatives

• Concept of Limits

• Derivatives: Definition and First Principles

• Limits Involving Trigonometric Functions

• Basic Rules of Differentiation

Unit V: Mathematical Reasoning

Chapter 14: Mathematical Reasoning

• Logical Statements and Reasoning

• Use of Connectives and Validations

• Understanding Contradictions, Converse, and Contrapositive

Unit VI: Statistics and Probability

Chapter 15: Statistics

• Measures of Dispersion: Range, Mean Deviation, Variance, Standard Deviation

• Comparison of Data Sets

Chapter 16: Probability

• Introduction to Probability Theory

• Sample Space and Events

• Axiomatic Approach to Probability

• Calculating Probabilities of Events and Their Complements

Why Choose Studit for Class 11 Maths Preparation?

At Studit, we go beyond just listing topics. Our platform offers detailed lessons, practice questions, and conceptual explanations that are easy to understand. Each topic is broken down into manageable parts, so students can study at their own pace while building confidence in their problem-solving skills. Whether you are preparing for school exams or entrance tests like JEE, our resources are designed to guide you through every step.

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