Class 11 maths index page given here covers all the chapters and their sub-topics that are included in the class 11 maths book of NCERT. These topics covered in this index page contains all the syllabus concepts that are prescribed by the CBSE. These CBSE maths syllabus topics are covered in an easy to understand the way to help students have a deeper understanding of the topics.
It should be noted that class 11 is an important phase as the syllabus topics are not only important for the class 11 exam but are also crucial for competitive exams like JEE. These topic-wise index page can be beneficial for students to go through all the topics easily quickly.
The main units in CBSE class 11 maths syllabus are:
- Sets and Functions
- Algebra
- Coordinate Geometry
- Statistics and Probability
- Mathematical Reasoning
Unit – I: Sets and Functions
Chapter 1: Sets
- Sets and Their Representations
- Empty Set
- Finite and Infinite Sets
- Subsets
- Subsets of a set of real numbers especially intervals (with notations)
- Power Set
- Universal Set
- Difference of Sets
Chapter 2: Relations & Functions
- Number of elements in the cartesian product of two finite sets
- Cartesian product of the sets of real (up to R × R)
- Definition of −
- Pictorial diagrams
- Function as a special kind of relation from one set to another
- Pictorial representation of a function, domain, co-domain and range of a function
- Real valued functions, domain and range of these functions −
- Constant
- Identity
- Polynomial
- Rational
- Modulus
- Signum
- Exponential
- Logarithmic
- Greatest integer functions (with their graphs)
- Sum, difference, product and quotients of functions
Chapter 3: Trigonometric Functions
- Positive and negative angles
- Measuring angles in radians and in degrees and conversion of one into other
- Definition of trigonometric functions with the help of unit circle
- Truth of the sin2x + cos2x = 1, for all x
- Signs of trigonometric functions
- Graphs of Trigonometric Functions
- Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple application
- Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x
- General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a
Unit – II: Algebra
Chapter 4: Principle of Mathematical Induction
- Process of the proof by induction −
- Motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers
- The principle of mathematical induction and simple applications
Chapter 5: Complex Numbers and Quadratic Equations
- Need for complex numbers, especially √1, to be motivated by inability to solve some of the quadratic equations
- Solution of quadratic equations in the complex number system
- Square root of a complex number
Chapter 6: Linear Inequalities
- Introduction to Linear inequalities
- Algebraic solutions of linear inequalities in one variable and their representation on the number line
- Graphical solution of linear inequalities in two variables
- Graphical solution of system of linear inequalities in two variables
Chapter 7: Permutations and Combinations
- Factorial n
- (n!) Permutations and combinations
- Simple applications
Chapter 8: Binomial Theorem
- History
- Statement and proof of the binomial theorem for positive integral indices
- General and middle term in binomial expansion
- Simple applications
Chapter 9: Sequence and Series
- Geometric mean (G.M.)
- Relation between A.M. and G.M.
Unit – III: Coordinate Geometry
Chapter 10: Straight Lines
- Brief recall of two dimensional geometries from earlier classes
- Shifting of origin
- Parallel to axis
- Point-slope form
- Slope-intercept form
- Two-point form
- Intercept form
- Normal form
- Equation of family of lines passing through the point of intersection of two lines
Chapter 11: Conic Sections
- Ellipse
- Parabola
- Hyperbola − a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section.
- Standard equations and simple properties of −
Chapter 12: Introduction to Three–dimensional Geometry
- Three–dimensional Geometry
- Coordinate axes and coordinate planes in three dimensions
Unit-IV: Calculus
Chapter 13: Limits and Derivatives
- Limits
- Derivatives
- Limits of the trigonometric functions
- Algebra of the derivative of the function
Unit-V: Mathematical Reasoning
Chapter 14: Mathematical Reasoning
- Connecting words/ phrases
- Validating the statements involving the connecting words difference between contradiction, converse and contrapositive
Unit-VI: Statistics and Probability
Chapter 15: Statistics
- Measures of dispersion −
- Range
- Standard deviation of ungrouped/grouped data
- Analysis of frequency distributions with equal means but different variances.
Chapter 16: Probability
- Random experiments −
- Outcomes
- Sample spaces (set representation)
- Occurrence of events, ‘not’, ‘and’ and ‘or’ events
- Exhaustive events
- Mutually exclusive events
- Axiomatic (set theoretic) probability
- Connections with the theories of earlier classes
- Probability of −
- Probability of ‘not’, ‘and’ and ‘or’ events
Advantages of BYJU’S Class 11 Topic-wise Maths Lessons
Each of the topics from the list mentioned above is explained in an easily understandable manner. Hence, any students of class 11 can quickly grasp and develop a deeper understanding of the fundamentals. Additional information about the topics and sub-topics are also given which will not only help students to prepare for their board exams but will also help them to get confident with their preparation of JEE and other engineering entrance exams.
Keep visiting BYJU’S to get all the maths index pages for all the classes and prepare more effectively. Also, get several class-wise maths sample papers, question papers, formulas and other study materials for additional assistance in mathematics preparation.
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