CBSE Class 11 Mathematics Curriculum for the Academic Year 2023-24 with Grading Structure The curriculum designated by CBSE for the 11th-grade mathematics course is categorized into five distinct units. The ensuing table displays these units, along with the number of class periods dedicated to each and the corresponding weightage in marks. The mathematics theory examination encompasses a total of 80 marks, while the internal assessment contributes 20 marks to the final grade.
|I||Sets and Functions||23|
|V||Statistics and Probability||12|
Below, you will discover the syllabus for CBSE Class 11 Mathematics.
Unit-I: Sets and Functions
Sets and their representations, inclusive of esoteric sets, finite and boundless sets, congruent sets, subgroups, and subcategories within a set of actual numbers. Notably, this encompasses intervals denoted with specialized symbols.
The comprehensive set, Venn diagrams, amalgamation, and intersection of sets, disparities among sets, the opposite of a set, and the associated attributes.
Relations & Functions
Ordered pairs, Cartesian product of sets, tallying the components in the Cartesian product of two finite sets.
The Cartesian product of the real numbers set with itself (extending to R x R x R), introduction to relations, graphical depictions, fields, codomains, and ranges for a relation.
Functions, which are a specialized form of relations, alongside visual representations. Domain, codomain, and range for functions.
Real-valued functions, their domains and ranges, including constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, and greatest integer functions, each complemented by their respective graphical depictions. Moreover, understanding the summation, difference, product, and quotient of functions.
Positive and negative angles, measuring angles in radians and degrees, conversion between the two systems.
The definition of trigonometric functions in relation to the unit circle, the verification of trigonometric function identities, discerning the signs of trigonometric functions.
The domains and ranges of trigonometric functions and their accompanying graphical illustrations.
Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx, and cosy, along with their practical applications.
Complex Numbers and Quadratic Equations
The rationale behind introducing complex numbers, with a particular emphasis on the symbol √−1.
Exploration of algebraic properties inherent to complex numbers and the relevance of the Argand plane.
Linear inequalities, along with algebraic solutions for linear inequalities in a singular variable.
A visualization of these solutions represented on a number line.
Permutations and Combinations
The fundamental principle of counting and the concept of factorial n (n!).
Permutations and combinations, encompassing the derivation of the formulas for nPr and nCr, with connections to practical applications.
A historical perspective, a concise statement, and proof of the binomial theorem, focusing on positive integral indices.
A discussion of Pascal’s triangle and its uncomplicated applications.
Sequence and Series
Sequence and series, including arithmetic progressions (A. P.), the arithmetic mean (A.M.), geometric progressions (G.P.), the general term of a G.P., the sum of n terms in a G.P., infinite G.P. and the sum thereof, geometric mean (G.M.), as well as the interrelationship between A.M. and G.M.
Unit-III: Coordinate Geometry
A brief revisitation of two-dimensional geometry from previous academic levels, discussing the slope of a line and the angle between two lines.
Various forms of linear equations: those parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form, and normal form. The general equation of a line is also considered.
The calculation of the distance between a point and a line.
The exploration of sections derived from a cone, encompassing circles, ellipses, parabolas, hyperbolas, along with the interpretation of a point, a straight line, and the convergence of two lines as instances of conic sections.
Standard equations and rudimentary characteristics of parabolas, ellipses, and hyperbolas are examined. The standard equation of a circle is also covered.
Introduction to Three-Dimensional Geometry
The introduction of coordinate axes and planes in the context of three dimensions, inclusive of the coordinates of a point and the procedure for measuring the distance between two points.
Limits and Derivatives
The notion of derivatives, elucidated as the rate of change, with a focus on both the distance function and its geometric interpretation.
An intuitive grasp of limits, considering polynomials and rational functions, as well as trigonometric, exponential, and logarithmic functions.
The definition of derivatives and their linkage to the slope of a curve’s tangent.
The computation of derivatives for sums, differences, products, and quotients of functions, with particular emphasis on polynomial and trigonometric functions.
Unit-V: Statistics and Probability
Measures of dispersion, encompassing the range, mean deviation, variance, and standard deviation. These calculations are relevant for both ungrouped and grouped data.
A thorough exploration of events, the occurrence of events, ‘not,’ ‘and,’ and ‘or’ events, exhaustive events, as well as mutually exclusive events.
The application of axiomatic (set theoretic) probability, and its connections with earlier foundational theories.
An in-depth analysis of the probability associated with individual events, the probability of ‘not,’ ‘and,’ and ‘or’ events, presented with precision and clarity.
For a comprehensive syllabus encompassing all subjects, you may access the CBSE Class 11 Syllabus page. Dive into the realm of mathematics and science through an interactive and enjoyable experience with the BYJU’S App/Tablet.
Frequently Asked Questions Regarding the CBSE Class 11 Mathematics Syllabus for 2023-24
Q1 What is the distribution of marks for the internal assessment and the theory examination as per the CBSE Mathematics Syllabus for Class 11? The internal evaluation holds a value of 20 marks.