Class 11 Maths Syllabus for CBSE Students

CBSE class 11 maths syllabus: unit-wise marks

Look at where the marks sit. Units I and II together carry 48 of the 80 theory marks, so trigonometry and algebra decide most of your result. Calculus has only one chapter and 8 marks in class 11, yet it is the base for the heaviest unit of class 12, so treat it as an investment rather than a small chapter.

Sets, functions and trigonometry (Unit I)

Sets

• Sets and their representation; empty, finite, infinite and equal sets; subsets and subsets of the set of real numbers, especially intervals
• Universal set, Venn diagrams
• Union, intersection, difference and complement of sets, with properties of the complement

Relations and Functions

• Ordered pairs and Cartesian product of sets, up to R x R x R
• Relations: domain, codomain and range
• Functions as special relations; real valued functions and their graphs: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer
• Sum, difference, product and quotient of functions

Trigonometric Functions

• Positive and negative angles, radian and degree measure and conversion
• Trigonometric functions through the unit circle, the identity sin squared x plus cos squared x equals 1, signs, domain, range and graphs
• Formulae for sin(x plus or minus y) and cos(x plus or minus y), and their simple applications
• Identities for sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x, and sum to product forms

Algebra topics in the class 11th maths syllabus (Unit II)

• Complex Numbers and Quadratic Equations: why the square root of minus 1 is needed, the algebra of complex numbers and their representation in the Argand plane.
• Linear Inequalities: algebraic solution of linear inequalities in one variable and showing the solution on the number line.
• Permutations and Combinations: the fundamental principle of counting, factorial n, formulae for nPr and nCr, the link between them, and simple applications.
• Binomial Theorem: statement and proof for positive integral indices, Pascal's triangle and simple applications.
• Sequences and Series: arithmetic and geometric progressions, the general term and sum of n terms of a GP, the infinite GP and its sum, arithmetic and geometric means, and the relation between AM and GM.

Algebra is the single largest block at 25 marks, and it also feeds straight into the probability and calculus chapters. Permutations and combinations is where many students drop marks, since a question can look simple and still hide a counting trap.

Coordinate geometry, calculus, statistics and probability

Unit III: Coordinate Geometry

• Straight Lines: a brief recall of two dimensional geometry, slope of a line and angle between two lines, the point-slope, slope-intercept and two-point forms, and how far a given point lies from a line.
• Conic Sections: sections of a cone (circle, ellipse, parabola, hyperbola, and a point, a straight line or a pair of intersecting lines as degenerate cases), standard equations and simple properties of the parabola, ellipse and hyperbola, and the standard equation of a circle.
• Introduction to Three Dimensional Geometry: axes and planes in three dimensions, coordinates of a point and the distance between two points.

Unit IV: Calculus

• Limits and Derivatives: the derivative as rate of change, an intuitive idea of limit, limits of polynomial, rational, trigonometric, exponential and logarithmic functions, the derivative and its link with the slope of a tangent, and derivatives of sums, differences, products and quotients of functions, including polynomial and trigonometric ones.

Unit V: Statistics and Probability

• Statistics: measures of dispersion, namely range, mean deviation, variance and standard deviation of ungrouped and grouped data.
• Probability: events, occurrence of events, 'not', 'and' and 'or' events, exhaustive and mutually exclusive events, axiomatic probability and probability of these events.

Topics kept for classroom assessment only

The curriculum names a set of topics that teachers should cover for understanding but that are assessed only formatively, so they are left out of the final (summative) paper. In the curriculum we checked these were:

• Practical problems on union and intersection of two sets
• Composition of functions
• General solutions of sin y = sin a, cos y = cos a and tan y = tan a
• Principle of mathematical induction, the polar form of complex numbers and the fundamental theorem of algebra
• Graphical solution of linear inequalities in two variables
• General and middle terms of a binomial expansion; sums of k, k squared and k cubed
• Normal form and general equation of a line; section formula in three dimensions
• Chain rule; random experiments, outcomes and sample space

Skipping these for the school exam is safe, but do not skip them for good. The chain rule, the sample space and the general equation of a line come back in class 12 and in engineering entrance papers.

How the class 11 maths paper is built

The theory paper is 80 marks in 3 hours. The board sets the design by typology of thinking rather than by chapter:

• There is no chapter-wise weightage inside a unit, so every chapter must be prepared.
• There is no overall choice, but about 33% internal choice is given in all sections.
• The board's assessment scheme also asks for a large share of competency-based questions, such as case-based and source-based items, alongside MCQs and long answers.

Internal assessment (20 marks)

Periodic tests give 10 marks: three tests are suggested across the year, and the average of your best two is used. Maths activities give the other 10: about ten activities from the NCERT lab manual, split as 5 marks for the record kept through the year, 3 for a year-end activity test and 2 for a viva.

A year plan for 11th maths syllabus

Class 11 is long, and most schools run two terms with periodic tests in between. A plan that follows the textbook order but front loads the heavy units works well:

1. April to July: Sets, Relations and Functions, then Trigonometric Functions. Learn the graphs by drawing them, not by memorising pictures.
2. August to October: Complex Numbers, Linear Inequalities, counting (permutations, combinations), the binomial expansion and progressions. Solve every miscellaneous exercise of the NCERT book.
3. November to December: Straight Lines, Conic Sections and 3D geometry, with a page of standard equations you revise each week.
4. January: Limits and Derivatives, Statistics and Probability, then full revision with the NCERT Exemplar.
5. February: two or three timed 80 mark papers, checked against the typology table above.

Aiming for engineering as well? Every chapter above reappears in the JEE Main syllabus, so solid class 11 work now saves months later.

Books and how class 11 leads into class 12

Whether you search for the class 11 math syllabus, the class 11th math syllabus or the math syllabus class 11, you land on the same CBSE math class 11 syllabus described here. The curriculum prescribes three NCERT books: the class 11 mathematics textbook, the NCERT Exemplar Problems for class 11 and the class 11 laboratory manual for activities. Finish the textbook exercises first, then move to the Exemplar for harder application questions. Reference books are fine for extra practice, but the school paper follows NCERT language and methods.

Several class 11 chapters are the ground floor for class 12. Relations and Functions leads to inverse trigonometric functions, Limits and Derivatives leads to continuity, differentiation and integrals, and Probability leads to conditional probability and Bayes' theorem. The full next-year course is on the CBSE class 12 maths syllabus page, and if you want to revise your base first, the class 10 maths syllabus shows what you are expected to know already. Science students may also like the class 11 physics syllabus, which uses vectors, graphs and derivatives from this course.