# CBSE Mathematics Class 11 Syllabus 2019-20 – Chapters, Topics, Weightage

CBSE Mathematics Class 11 Syllabus 2019: Are you Looking for CBSE Class 11 Mathematics Syllabus 2019-20, Chapter, Topics ??? Then, you are on a right track. Those who are Interested to know about the Information for Class XI CBSE Mathematics Syllabus 2019-20 may go through this article. As we have provided the details for CBSE Class 11 Syllabus (सीबीएसई गणित कक्षा 11 का सिलेबस). We all are aware that how important are the Class XI Exams in a student’s life. But students may not have to be worried about the CBSE Syllabus. Each and every detail is provided in this article related to the Central Board of Secondary Education. You just have to check out and read every detail to know about it.

The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with the growth of the subject and emerging needs of society. 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 Bio-science, Commerce or Computer Applications.

The present revised syllabus has been designed in accordance with National Curriculum Framework 2005 and as per guidelines are given in Focus Group on Teaching of Mathematics 2005 which is to meet the emerging needs of all categories of students. Motivating the topics from real-life situations and other subject areas, greater emphasis has been laid on the application of various concepts.

## CBSE Mathematics Class 11 Syllabus 2019-20

 Unit No. of Periods Marks Unit – I: Sets and Functions 60 29 Marks Unit – II: Algebra 70 37 Marks Unit – III: Co-ordinate Geometry 40 13 Marks Unit – IV: Calculus 30 06 Marks Unit – V: Mathematical Reasoning 10 03 Marks Unit – VI: Statistics and Probability 30 12 Marks Total 240 100 Marks

### Maths CBSE Class 11 Syllabus 2018 – 2019

Unit – I: Sets and Functions

• Sets
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. The difference between sets. The 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 (upto 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

CBSE Mathematics Class 11 Syllabus: 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 the 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, tan2x, sin3x, cos3x, and tan3x. The general solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

Unit – II: Algebra

• Principle of Mathematical Induction
Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.
• Complex Numbers and Quadratic Equations
Need for complex numbers, especially, to be motivated by an inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system. The square root of a complex number.
• 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 a system of linear inequalities in two variables.
• Permutations and Combinations
The fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of formulae for nprand ncr and their connections, simple applications.
• 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.
• Sequence and Series
Sequence and Series. Arithmetic Progression (A. P.). 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. Formulae for the following special sums.

Unit – III: Coordinate Geometry

• Straight Lines
Brief recall of two-dimensional geometry from earlier classes. Shifting of origin. The slope of a line and angle between two lines. Various forms of equations of a line: parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. The distance of a point from a line.
• 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.
• 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

• Limits and Derivatives

Derivative 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: Mathematical Reasoning

• Mathematical Reasoning
Mathematically acceptable statements. Connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through variety of examples related to real life and Mathema tics. Validating the statements involving the connecting words, the difference among contradiction, converse, and contrapositive.

Unit – VI: Statistics and Probability

• Statistics
Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.
• Probability

Random experiments; outcomes, sample spaces (set representation). Events; the 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.

CBSE Mathematics Class 11 Syllabus Objectives

The broad objectives of teaching Mathematics at senior school stage intend to help the students:

• To feel the flow of reasons while proving a result or solving a problem.
• To apply the knowledge and skills acquired to solve problems and wherever possible, by more than one method.
• To acquaint students with different aspects of Mathematics used in daily life.
• To acquire knowledge and critical understanding, particularly by way of motivation and visualization, of basic concepts, terms, principles, symbols, and mastery of underlying processes and skills.
• To develop an interest in students to study Mathematics as a discipline.
• To develop an awareness of the need for national integration, protection of the environment, observance of small family norms, removal of social barriers, elimination of gender biases.
• To develop a positive attitude to think, analyze and articulate logically.
• To develop an interest in the subject by participating in related competitions.
• To develop reverence and respect towards great Mathematicians for their contributions to the field of Mathematics.