CBSE Syllabus for Class 11 Maths for 2021-22 Term wise is released by the board. The Class 11 Maths Syllabus is divided into two terms, each term consisting of 5 units. The exams will also be conducted in two parts. The term wise CBSE Class 11 Maths Syllabus is a crucial resource for students that help them in exam preparation. It provides the details on the course structure, exam pattern and marks weightage of Mathematics subject for Term 1 and Term 2 exam. Before preparing for the Class 11 Maths exam, students should go through the syllabus to know what they will study for the 2021-2022 academic year. Referring to the CBSE Syllabus for Class 11, Maths will work as a checklist for students. They can quickly analyse the topics that they have covered and the topics they need to complete.
After knowing the CBSE Syllabus, students can easily create a study plan for themselves. Accordingly, they can make the exam strategy and efficiently prepare for the Term 1 and Term 2 Maths Class 11 exams.
CBSE Class 11 Maths Syllabus 2021-22 Term Wise PDF Download
Maths generate analytical and problems solving skills among students. It is a scoring subject for students. By following the right strategy and approach, a students can even score full marks. They can access the term wise CBSE Class 11 Maths Syllabus for the examinations 2021-22 along with marks distribution from the pdf link provided above.
CBSE Class 11 Maths Syllabus Term 1 for 2021-22 with Marking Scheme
CBSE syllabus for class 11 Maths is divided into 5 units. The table below shows the units, no. of periods and marks allocated for term 1. The Maths theory paper of term 1 is of 40 marks and internal assessment is of 10 marks.
No. | Units | Marks |
I. | Sets and Functions | 11 |
II. | Algebra | 13 |
III. | Coordinate Geometry | 06 |
IV. | Calculus | 04 |
V. | Statistics and Probability | 06 |
Total Theory | 40 | |
Internal Assessment | 10 |
Unit-I: Sets and Functions
1. Sets
Periods Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets
2. Relations & 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 ( R x R only).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.
Unit-II: Algebra
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. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.
4. Sequence and Series
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., infinite G.P. and its sum, geometric mean (G.M.), 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 and normal form. General equation of a line. Distance of a point from a line.
Unit-IV: Calculus
1. Limits
Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions.
Unit-V: Statistics and Probability
1. Statistics
Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.
CBSE Class 11 Maths Syllabus Term 2 for 2021-22
CBSE Syllabus for class 11 Maths is divided into 5 units. The table below shows the units, no. of periods and marks allocated for term 2. The Maths theory paper of term 2 is of 40 marks and internal assessment is of 10 marks.
No. | Units | Marks |
I. | Sets and Functions (Cont.) | 08 |
II. | Algebra (Cont.) | 11 |
III. | Coordinate Geometry (Cont.) | 09 |
IV. | Calculus (Cont.) | 06 |
V. | Statistics and Probability (Cont.) | 06 |
Total Theory | 40 | |
Internal Assessment | 10 |
Unit-I: Sets and Functions
1. Trigonometric Functions
Periods 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 sin^{2} x + cos^{2} x = 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 sin x, sin y, cos x & cos y and their simple applications.
Unit-II: Algebra
1. Linear Inequalities
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 method of finding a solution of system of linear inequalities in two variables.
2. Permutations and Combinations
Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, formula for ^{n}P_{r} and ^{n}C_{r}, simple applications.
Unit-III: Coordinate Geometry
1. Conic Sections
Sections of a cone: circles, ellipse, parabola, hyperbola. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.
2. Introduction to Three-dimensional Geometry
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.
Unit-IV: Calculus
1. Derivatives
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-V: Statistics and Probability
1. Probability
Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.