# Class 11 Syllabus

Class 11 Maths Syllabus is given below. Students can get to know the weightage of all the chapters and be able to prepare with suitable strategies to excel in the examination. As CBSE released the term wise syllabus for 2021-22, the term wise syllabus and weightage are given for Class 11 maths here.

## Class 11 Maths Syllabus For 2021-22 Term 1

Class 11 syllabus of Maths is divided into five units and the weightage for each of these units for Term 1 paper is tabulated below. This will help the students to concentrate on the topics to score maximum marks.

One Paper

90 Minutes Max Marks: 40

No. | Units | Marks |

I | Sets and Functions | 11 |

II | Algebra | 13 |

III | Coordinate geometry | 06 |

IV | Calculus | 04 |

V | Statistics and Probability | 06 |

Total | 40 | |

Internal Assessment | 10 |

**Note:** ******No chapter-wise weightage. Care to be taken to cover all the chapters.*

## Class 11 Maths Syllabus For 2021-22 Term 2

The continuation of five units of the syllabus of Class 11 Mathematics will be covered in Term 2. The unit-wise weightage and total marks for Term 2 of Class 12, 2021-22 exam is tabulated below.

One Paper

90 Minutes Max Marks: 40

No. | Units | Marks |

I | Sets and Functions (Cont.) | 8 |

II | Algebra (Cont.) | 11 |

III | Coordinate geometry (Cont.) | 09 |

IV | Calculus (Cont.) | 06 |

V | Statistics and Probability (Cont.) | 06 |

Total | 40 | |

Internal Assessment | 10 |

The below unit-wise links have drop down lists of chapters and subtopics. Each unit has some specific chapters. Students can access all the topics of Class 11 Maths syllabus by clicking on the links given for units I, II, III, IV, V and the respective chapter names in the dropdown lists.

- Sets and their representations
- Finite and Infinite sets
- Empty set. Power set. Equal sets. Subsets.
- Properties of Complement Sets.
- Venn diagrams. Difference of sets.
- Complement of a set.
- Universal set. Subsets of a set of real numbers especially intervals (with notations).
- Union and Intersection of sets and Practical Problems based on sets.

- Ordered pairs Cartesian product of sets.
- Cartesian product of the sets of real (up to R x R).
- Pictorial representation of a function, domain, co-domain, and range of a function. Function as a special kind of relation from one set to another.
- Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation. Number of elements in the Cartesian product of two finite sets.
- Sum, difference, product and quotients of functions.
- Real-valued functions, domain and range of these functions: modulus, exponential, constant, polynomial, identity, rational, Signum, logarithmic and greatest integer functions; Function and their graphs.

- Positive and negative Angles.
- Definition of trigonometric functions with the help of the unit circle.
- Truth of the sin2x+cos2x=1, for all x.
- Signs of trigonometric functions
- Domain and range of trigonometric functions and their graphs.
- Measuring angles in radians and in degrees and conversion of one into other. Expressing sin (x±y) and cos (x±y) in terms of sin x, sin y, cos x & cos y and their simple application.
- Deducing identities like the following: 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.

- 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.

- Need for complex numbers, especially √1, to be motivated by inability to solve some of the quadratic equations.
- Algebraic properties of complex numbers.
- Argand plane and polar representation of complex numbers.
- Statement of Fundamental Theorem of Algebra, solution of Quadratic equations in the complex number system. Square root of a complex number.

- 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.

- Fundamental principle of counting.
- Factorial n. (n!)Permutations and combinations,
- Derivation of formulae and their connections, simple applications.

- History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle.
- General and middle term in binomial expansion, simple applications.

- Sequence and Series.
- Arithmetic Progression (A.P.). Arithmetic Mean (A.M.)
- Geometric Progression (G.P.), general term of a G.P.,
- Sum of n terms of a G.P., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.),
- Relation between A.M. and G.M.
- Formula for the following special sum

- Brief recall of two dimensional geometry from earlier classes. Shifting of origin.
- Slope of a line and angle between two lines.
- Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form.
- General equation of a line. Equation of family of lines passing through the point of intersection of two lines.
- Distance of a point from a line.

- Sections of a cone: Circles, 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 parabola, ellipse and hyperbola.
- Standard equation of a circle.

- Coordinate axes and coordinate planes in three dimensions.
- Coordinates of a point.
- Distance between two points and section formula.

- Derivative introduced as rate of change both as that of distance function and geometrically.
- Intuitive idea of limit.
- Limits of polynomials and rational functions, trigonometric, exponential and logarithmic functions.
- Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions.
- The derivative of polynomial and trigonometric functions.

- Mathematically acceptable statements.
- Connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through variety of examples related to real life and Mathematics.
- Validating the statements involving the connecting words difference between contradiction, converse and contrapositive.

- Measures of dispersion; Range, mean deviation, variance and standard deviation of ungrouped/grouped data.
- Analysis of frequency distributions with equal means but different variances.

- Random experiments; outcomes, sample spaces (set representation).
- Events; 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 an event, probability of ‘not’, ‘and’ and ‘or’ events.