CBSE Class 11th Mathematics Syllabus (New) 2022-23
The Syllabus in the subject of Mathematics has undergone changes from time to time in
accordance with the growth of the subject and the emerging needs of society. The senior Secondary stage is a launching stage from where the students go either for higher academic education in Mathematics or for professional courses like Engineering, Physical and Biological science, Commerce, or Computer Applications.
Check out the latest CBSE Class 11th Mathematics Syllabus (2022-23)
| No | Units | No. of Periods | Marks |
|---|---|---|---|
I. | Sets and Functions | 60 | 23 |
II. | Algebra | 50 | 25 |
III. | Coordinate Geometry | 50 | 12 |
IV. | Calculus | 40 | 08 |
V. | Statistics and Probability | 40 | 12 |
Total | 240 | 80 | |
Internal Assessment | 20 |
Unit-I: Sets and Functions
Sets
Sets and their representations, Empty sets, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement.
Relations & Functions
Ordered pairs. Cartesian product of sets. A number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (up to R x R x R).Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation. Function as a special type of relation.
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, and greatest integer functions, with their graphs. Sum, difference, product, and quotients of functions.
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 sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications. Deducing identities like the following:
Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x, and tan3x.
Unit-II: Algebra
1. Complex Numbers and Quadratic Equations
Need for complex numbers, especially√−1, to be motivated by the inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane
2. Linear Inequalities
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.
3. Permutations and Combinations
The fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for nPr and nCr and their connections, simple applications.
4. Binomial Theorem
Historical perspective, statement, and proof of the binomial theorem for positive integral indices. Pascal’s triangle, simple applications.
5. Sequence and Series
Sequence and Series. Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., the sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), the relation between A.M. and G.M.
Unit-III: Coordinate Geometry
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: 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.
3. Introduction to Three-dimensional Geometry
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points.
Unit-IV: Calculus
1. Limits and Derivatives
A derivative is introduced as a rate of change both as that of distance function and geometrically. The intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential, and logarithmic functions. Definition of derivative relates it to the scope of the tangent of the curve, derivative of the sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.
Unit-V Statistics and Probability
1. Statistics
Measures of Dispersion: Range, Mean deviation, variance, and standard deviation of ungrouped/grouped data
2. Probability
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.
MATHEMATICS
QUESTION PAPER DESIGN
CLASS – XI (2022-23)
| SL No. | Typology of Questions | Total Marks | % Weight age |
|---|---|---|---|
| 1 | Remembering: Exhibit memory of previously learned material by
recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 44 | 55 |
| 2 | Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way | 20 | 25 |
| 3 | Analysing :
Examine and break information into parts by identifying motives or
causes. Make inferences and find evidence to support
generalizations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions | 16 | 20 |
| TOTAL | 80 | 100 |
1. No chapter-wise weightage. Care to be taken to cover all the chapters
2. Suitable internal variations may be made for generating various templates while keeping the overall
weightage to a different form of questions and typology of questions same
Choice(s):
There will be no overall choice in the question paper.
However, 33% of internal choices will be given in all the sections
| Internal Assesment | 20 Marks |
|---|---|
| Periodic Tests ( Best 2 out of 3 tests conducted) | 10 Marks |
| Mathematics Activities | 10 Marks |