Table of Contents
Mathematics is one of the most important subjects in the science stream especially, for students who aspire to become engineers. It has a high weightage in engineering entrance exams like IIT JEE. Hence, it is crucial to grasp the important concepts of this subject, which will help the students in the CBSE exam, and also IIT JEE preparation
If you are a student appearing for the class 11 exam, you need to know the important topics beforehand. At Infinity Learn, we always try to add success to your preparation. To help you prepare better, we have mentioned the important topics in Class 11. Below are the topics to enhance your preparation
Unit-I: Sets and Functions
CBSE Class 11 Maths Chapter 1: Sets
- Different types of sets (Empty set, Finite and Infinite sets, Equal sets, Subsets, Power set & Universal set)
- Union Venn diagrams
- Union and Intersection of sets
- Difference & complement of sets
- Properties of complement
CBSE Class 11 Maths Chapter 2: Relations and Functions
- Ordered pairs.
- Cartesian product of sets.
- Definition of relation (domain, co-domain, range, and pictorial representation)
- Function as a special type of relation.
- Real valued functions – domain and range of these functions and graphical representation
- Sum, difference, product, and quotients of functions
CBSE Class 11 Maths Chapter 3: Trigonometric Functions
- Positive and negative angles
- Measurement of angles in radians and degrees
- Trigonometric functions – Domain, range, signs, and graphical representation
- Trigonometric identities deduction
Unit-II: Algebra
CBSE Class 11 Maths Chapter 4: Principle of Mathematical Induction
- The principle of mathematical induction and its basic applications
CBSE Class 11 Maths Chapter 5: Complex Numbers and Quadratic Equations
- Need for complex numbers
- Complex numbers of quadratic equations
- Algebraic properties of complex numbers
- Argand plane
- Polar representation of complex numbers
- Fundamental Theorem of Algebra and solution of quadratic equations (with real coefficients) in the complex number system.
- The square root of a complex number
CBSE Class 11 Maths Chapter 6: Linear Inequalities
- Algebraic solutions of linear inequalities in one variable
- Representation of linear inequalities on the number line
- Graphical solution of linear inequalities in two variables
- Graphical solution for linear inequalities in two variables
CBSE Class 11 Maths Chapter 7: Permutations and Combinations
- The fundamental principle of counting
- Factorial n. (n!) based questions
- Derivation of Formulae for nPr and nCr and their applications
CBSE Class 11 Maths Chapter 8: Binomial Theorem
- Statement and proof for positive integral indices
- Pascal’s triangle
- General and middle term (Binomial Expansion) and its applications
CBSE Class 11 Maths Chapter 9: Sequences and Series
- Arithmetic Progression (AP), Arithmetic Mean (AM), and Geometric Progression (GP)
- General term of a GP
- Sum of n terms of a GP
- Infinite GP and its sum
- Geometric mean (GM) applications
- Relation between AM and GM
Unit-III: Coordinate Geometry
CBSE Class 11 Maths Chapter 10: Straight Lines
- 2-D Geometry
- Shifting of origin
- Slope of a line & angle between two lines
- Various forms of equations of a line
- General equation of a line
- Equation for family of lines passing through the point of intersection of two lines
- Distance of a point from a line
CBSE Class 11 Maths CBSE Class 11 Maths Chapter 11: Conic Sections
- Circles, ellipse, parabola, and hyperbola
- Sections of a cone
- Standard equations and properties of parabola, hyperbola, and ellipse
- Standard equation of a circle
| Related Links | |
| NCERT Solutions for Class 11 Maths | NCERT Solutions for Class 11 Biology |
| NCERT Solutions for Class 11 Physics | NCERT Solutions for Class 11 Chemistry |
CBSE Class 11 Maths Chapter 12: Introduction to Three-Dimensional Geometry
- Coordinate axes in three dimensions
- Coordinate planes in three dimensions
- Coordinates of a point
- Distance between two points and section formula
Unit-IV: Calculus
CBSE Class 11 Maths Chapter 13: Limits and Derivatives
- Intuitive Idea of Derivatives – as the rate of change (distance function and geometrically)
- Limits of polynomials and rational functions
- Trigonometric, exponential, and logarithmic functions
- Definition of derivative and relation to the scope of the tangent of the curve
- Derivative of sum, difference, product, and quotient of functions
- Derivatives of polynomial, and trigonometric functions
Unit-V: Mathematical Reasoning
CBSE Class 11 Maths Chapter 14: Mathematical Reasoning
- Mathematically acceptable statements
- Special words/phrases
- Validating the statements
Unit-VI: Statistics and Probability
CBSE Class 11 Maths Chapter 15: Statistics
- Measures of Dispersion – Range and Mean deviation
- Analysis of frequency distributions
CBSE Class 11 Maths Chapter 16: Probability
- Random experiments – outcomes and sample spaces (set representation).
- Events – occurrence of events
- Axiomatic probability
- Probability of an event
