WBBSE Class 11 Maths Syllabus 2024-25: Download FREE PDF

UNIT No.

TOPICS

CONTACT

HOURS

MARKS

UNIT-I

SETS AND FUNCTIONS

45

15

1. Sets

Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of the set of real numbers especially intervals (with notations).

Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement sets.

2. Relations and Functions

Ordered pairs. Cartesian product of sets, Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (up to 𝑅 × 𝑅 × 𝑅). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. 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, exponential, logarithmic, signum and greatest integer functions with their graphs. sum, difference, product and quotients of functions.

3. Trigonometric Functions

Positive and negative angles, Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin² 𝑥 + cos² 𝑥 = 1, for all 𝑥. Signs of trigonometric functions, domain, range and sketch their graphs. Expressing sin(𝑥 ± 𝑦) and cos(𝑥 ± 𝑦) in terms of sin 𝑥 , cos 𝑥, sin 𝑦 and cos 𝑦.

15

4

15

4

15

7

UNIT No.

TOPICS

CONTACT

HOURS

MARKS

Deducing identities like the following:

Identities related to sin2x, cos2x, tan2x, sin3x, cos3x and tan3x. General  solutions  of  trigonometric  equations  of   the   type sin 𝜃 = sin 𝛼 , cos 𝜃 = cos 𝛼 and tan 𝜃 = tan 𝛼.

Unit-II

ALGEBRA

30

15

1. Complex Numbers and Quadratic Equations

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, polar representation of complex numbers, modulus, argument. solution of quadratic equation in complex number system.

2. Linear Inequalities

Linear inequalities. Algebraic solutions of linear inequalities in one variable and modulus function and their representation on the number line. Graphical solution of linear inequalities in two variables.

3. Permutations and Combinations

Fundamental principle of counting. Factorial 𝑛 (𝑛!). Permutations and combinations, derivation of formulae for n Pr and n Cr and their connections, simple applications.

13

5

6

4

12

5

Unit-III

CALCULUS

25

10

1.  Limits and Derivatives

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

UNIT No.

TOPICS

CONTACT

HOURS

MARKS

Unit-I

ALGEBRA

35

15

1. Principle of Mathematical Induction

Process of the proof by induction motivating the application of method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.

2. Binomial theorem

History, Statement and proof of the binomial theorem for positive integral indices. Pascal’s Triangle, General and middle term in Binomial expansion, Simple applications.

3. Sequence and series

Sequence and series. Arithmetic Progression (A.P.), Arithmetic Mean (A.M.), Geometric Progression (G.P.), Geometric Mean (G.M,) relation between A.M. & G.M., Arithmetic-Geometric Progression Series (AGP series), infinite G.P. and its sum, sum to n terms of the special series ∑ x, ∑ x² and ∑ x³

7

3

13

6

15

6

Unit-II

COORDINATE GEOMETRY (2D)

30

15

1. Straight lines

Brief recall of two dimensional geometry from earlier classes. 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, distance of a point from a line.

2. Conic sections

Sections of a Cone: circle, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of conic section; Standard equation of circle, general equation of circle, Standard equations and simple properties of Parabola, Ellipse and Hyperbola.

10

5

20

10

UNIT No.

TOPICS

CONTACT

HOURS

MARKS

Unit-III

STATISTICS AND PROBABILITY

15

10

1. Statistics

Measures of dispersion: Range, mean deviation, variance and standard deviation of ungrouped/ grouped data

2. Probability

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 other theories of earlier classes. Probability of an event, probability of

‘not’, ‘and’ and ‘or’ events.

5

3

10

7

Sl. No.

Topics

Activities

1

Sequence and Series

To illustrate that the arithmetic mean of two different positive numbers is always greater than the geometric mean.

2

Complex Number

 To interpret geometrically the meaning of 𝑖 = √−1 and its integral powers.

3

Trigonometric Functions

To illustrate the values of sine and cosine functions for different π angles which are multiples of and 𝜋.

4

Theory of Sets

To show that the total number of subsets of a given set with ′𝑛′

number of elements is 2ⁿ .

5

Theory of Sets

Theoretic Operations using Venn Diagrams.

6

Relations and Functions

To verify that for two sets 𝐴 and 𝐵, 𝑛(𝐴 × 𝐵) = 𝑝𝑞 and the total number of relations from 𝐴 and 𝐵 is 2^pq, where 𝑛(𝐴) = 𝑝 and

𝑛(𝐵) = 𝑞.

7

Limits and Derivatives

To find analytically limx →c 𝑓(𝑥) = x²  –c²/ x–c

8

Probability

To write the sample space, when a coin is tossed once, two times, three times.

9

Conic Sections

To recognize different types of conics and its parts.

10

Permutations and Combinations

To find out the number of permutations and combinations from a set of 3 different objects taking 2 at a time.

Sl. No.

Item

Marks

1

Project Notebook

10

2

Doing and writing a project during the project assessment

5

3

Viva

5

Total

20