The CBSE Class 11th Maths syllabus for 2024-2025 covers a wide range of fundamental mathematical concepts. Here's a detailed look at the topics included in each unit:
Unit 1: Sets and Functions (23 Marks)
* Sets:
* Sets and their representations (Roster and Set-builder form)
* Types of sets (Empty, Finite, Infinite, Equal, Subsets, Power set, Universal set)
* Venn diagrams
* Operations on sets (Union, Intersection, Difference, Complement)
* Relations & Functions:
* Cartesian product of sets
* Relations and their types (Reflexive, Symmetric, Transitive, Equivalence)
* Functions and their types (One-one, Onto, Many-one, Into)
* Domain, Range, and Codomain of a function
* Composition of functions
* Trigonometric Functions:
* Angles and their measures (Degrees, Radians)
* Trigonometric ratios and identities
* Trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) and their graphs
* Trigonometric equations
Unit 2: Algebra (30 Marks)
* Principle of Mathematical Induction:
* Statements and their validity
* Principle of Mathematical Induction and its applications
* Complex Numbers and Quadratic Equations:
* Complex numbers and their algebraic operations
* Argand plane and polar representation of complex numbers
* Quadratic equations with real and complex coefficients
* Linear Inequalities:
* Linear inequalities in one and two variables
* Graphical solution of linear inequalities
* Permutations and Combinations:
* Fundamental principle of counting
* Permutations and combinations and their formulas
* Binomial Theorem:
* Binomial theorem for positive integral indices
* General term and middle term in a binomial expansion
* Sequence and Series:
* Arithmetic progressions (AP) and geometric progressions (GP)
* Sum of n terms of an AP and GP
* Arithmetic mean (AM) and geometric mean (GM)
* Relationship between AM and GM
Unit 3: Coordinate Geometry (10 Marks)
* Straight Lines:
* Equation of a line in various forms (Slope-intercept, Point-slope, Two-point)
* Angle between two lines
* Distance of a point from a line
* Conic Sections:
* Circles, parabolas, ellipses, and hyperbolas
* Equations of conic sections in standard form
* Introduction to Three-dimensional Geometry:
* Coordinate axes and planes in three-dimensional space
* Distance between two points
* Section formula
Unit 4: Calculus (5 Marks)
* Limits and Derivatives:
* Limits of functions
* Derivatives and their applications
Unit 5: Mathematical Reasoning (2 Marks)
* Mathematical Reasoning:
* Statements, logical connectives (and, or, not, implies), quantifiers
* Deductive reasoning and proof by contradiction
Unit 6: Statistics and Probability (10 Marks)
* Statistics:
* Measures of central tendency (Mean, Median, Mode)
* Measures of dispersion (Range, Variance, Standard deviation)
* Probability:
* Probability of an event
* Conditional probability
* Independent events
This detailed breakdown should give you a better understanding of the topics included in the CBSE Class 11th Maths syllabus. Remember that this is based on the latest information available, and it's always a good idea to refer to the official CBSE website for the most accurate and up-to-date syllabus.