Mathematics. Advanced One - Age 15-16. .Grade 11 / Junior Year / SSS.

Grade 11 mathematics covers a wide range of topics aimed at providing students with a strong foundation in mathematical concepts. Here's an overview of the typical syllabus for Grade 11 mathematics in CBSE:

1. Sets and Functions:

   • Sets and their representations
   • Operations on sets
   • Cartesian product of sets
   • Relations
   • Functions

2. Algebra:

   • Algebraic expressions and their operations
   • Polynomials
   • Linear equations in two variables
   • Quadratic equations
   • Arithmetic Progressions (AP)
   • Geometric Progressions (GP)
   • Binomial theorem
   • Permutations and combinations

3. Coordinate Geometry:

   • Cartesian coordinates
   • Distance formula
   • Section formula
   • Area of triangles
   • Condition for the collinearity of three points
   • Straight lines and their equations
   • Conic sections: Circles, Parabolas, Ellipses, and Hyperbolas

4. Calculus:

   • Limits and Derivatives
   • Continuity and Differentiability
   • Applications of derivatives
   • Integrals
   • Fundamental theorem of calculus
   • Applications of integrals

5. Statistics and Probability:

   • Statistics: Measures of dispersion and measures of central tendency
   • Probability: Random experiments, events, probability of an event, and addition and multiplication theorems of probability

6. Mathematical Reasoning:

   • Statements, negations, and quantifiers
   • Converse, contrapositive, and inverse of a statement
   • Validating statements using mathematical principles

7. Introduction to Trigonometry:

   • Trigonometric functions and their properties
   • Trigonometric identities
   • Heights and distances

8. Three-Dimensional Geometry:

   • Coordinate axes and coordinate planes
   • Distance between two points and section formula
   • Direction ratios and direction cosines
   • Angle between two lines and distance between two parallel lines
   • Equation of a line in space and planes

This overview provides a comprehensive understanding of the topics covered in Grade 11 mathematics . It's essential for students to grasp these fundamental concepts thoroughly as they form the basis for more advanced mathematical studies in higher grades and fields like engineering, physics, and economics.