CBSE Class 11 Maths Study Materials All Chapters
Class 11 MathsÂ Chapters
- Chapter 1 Sets
- Chapter 2 Relations and Functions
- Chapter 3 Trigonometric Functions
- Chapter 4 Principle of Mathematical Induction
- Chapter 5 Complex Numbers and Quadratic Equations
- Chapter 6 Linear Inequalities
- Chapter 7 Permutation and Combinations
- Chapter 8 Binomial Theorem
- Chapter 9 Sequences and Series
- Chapter 10 Straight Lines
- Chapter 11 Conic Sections
- Chapter 12 Introduction to Three Dimensional Geometry
- Chapter 13 Limits and Derivatives
- Chapter 14 Mathematical Reasoning
- Chapter 15 Statistics
- Chapter 16 Probability
CBSE Class 11 Maths Syllabus
CBSE Class 11 Maths Syllabus 2020-21 (Reduced By 30%):Â
New CBSE Class 11 Maths Syllabus 2020-21 (reduced by 30%) is available here for view . view now and prepare for CBSE Class 11 Maths exam 2020-21.
Check CBSE Class 11 Maths Syllabus 2020-21 (reduced by 30%) and view it . The link to view CBSE Syllabus for Class 11 Maths 2020-21 is given at the end of this article. This latest CBSE Maths Syllabus for Class 11 contains complete details about units and chapters to be studied in the academic session 2020-21.
CBSE Class 11 Maths Syllabus 2020-21: (Reduced By 30%)
No. | Units | No. of Periods | Marks |
I. | Sets and Functions | 43 | 23 |
II. | Algebra | 41 | 30 |
III. | Coordinate Geometry | 33 | 10 |
IV. | Calculus | 30 | 07 |
V. | Statistics and Â Probability | 21 | 10 |
Â | Total | 168 | 80 |
Â | Internal Assessment | Â | 20 |
*No chapter/unit-wise weightage. CareÂ to be taken to cover all the chapters.
Unit-I: Sets and Functions
1. Sets (14) PeriodsÂ
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 Â Intersection of sets.
2. Relations & FunctionsÂ (15) Periods
Ordered pairs. Cartesian product Â of sets. Number Â of elements in the Cartesian product Â of two finite sets. Cartesian product Â of the Â set of reals with itself ( R x R only).Definition of relation, pictorial diagrams, domain, co-domain and Â range of a Â relation. Function as a Â special type Â of relation. Pictorial representation of a Â function, domain, co-domain and Â range of a Â function. Real valued functions, domain and Â range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs.
3. Trigonometric Functions (14 Periods)
PositiveÂ and Â negativeÂ angles.Â Â MeasuringÂ anglesÂ inÂ radiansÂ and Â inÂ degreesÂ and Â conversionÂ from one Â measureÂ toÂ another.Â DefinitionÂ ofÂ trigonometricÂ functionsÂ withÂ the Â helpÂ ofÂ unitÂ circle.Â TruthÂ of the Â identityÂ sin^{2}xÂ +Â cos^{2}x = 1, for all x. Signs of trigonometric functions. Domain and Â range of trigonometric functions and Â their graphs. Expressing sin (xÂ±y) and Â cos (xÂ±y) in terms of sinx, siny, cosxÂ &Â cosy andÂ theirÂ simpleÂ applications.Â
DeducingÂ identitiesÂ likeÂ theÂ following:
Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x and tan3x.
Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x andÂ tan 3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tany = tan a.
Unit-II: Algebra
1. Complex Numbers and Quadratic Equations (10 Periods)
NeedÂ for complex numbers, especially âˆšâˆ’1, toÂ 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.
2. Linear inequalities (15 Periods)
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.
3. Permutations and Combinations (8 Periods)
Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, formula forÂ ^{n}Pr andÂ ^{n}Cr, simple applications.
4. Sequence and Series (8 Periods)
Sequence Â and Â Series. Â Arithmetic Â Progression Â (A. Â P.). Â Arithmetic Â Mean Â (A.M.) Â Geometric Progression (G.P.), Â general term Â of a G.P., Â sum of n terms of a G.P., Â infinite G.P. Â and Â its sum, geometric mean (G.M.), relation between A.M. and G.M.
Unit-III: Coordinate Geometry
1. Straight Lines (8 Periods)
Brief recall of two dimensional geometry from earlier classes. Slope of a line and Â 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.
2. Conic Sections (15Periods)
Sections of a cone: Â circles, ellipse, parabola, hyperbola. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.
3. Introduction to Three-dimensional Geometry (10 Periods)
Coordinate axes and Â coordinate planes in three Â dimensions. Coordinates of a Â point. Distance between two points and section formula.
Unit-IV: Calculus
1. Limits and Derivatives (30 Periods)
Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Â Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions .Definition of derivative relate it Â to Â scope of tangent of the Â curve, Â derivative of sum, difference, product Â and quotient of functions. Derivatives of polynomial and trigonometric functions.
Unit-V: Statistics and Probability
1. Statistics (11 Periods)
Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.
2. Probability (10 Periods)
Random Â experiments; Â outcomes, Â sample Â spaces Â (set representation). Events; Â occurrence Â of events, â€˜notâ€™, â€˜andâ€™ and Â â€˜orâ€™ events, exhaustive events, mutually exclusive events, Probability of an event, probability of â€˜notâ€™, â€˜andâ€™ and Â â€˜orâ€™ events.
Mathematics Question Paper Design Class â€“ XI (2020-21)
Time : 3 Hours,Â Max. Marks: 80
S. No. | Typology of Questions | Total Marks | % Weight age |
Â Â Â 1 | Â Remembering: Exhibit memoryÂ of previously learned material by recalling facts, terms, basic concepts, andÂ answers. Â Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | Â Â Â Â 44 | Â Â Â 55 |
Â 2 | Â Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | Â 20 | Â 25 |
Â Â Â Â Â Â Â Â 3 | Analysing : ExamineÂ and breakÂ information intoÂ parts by identifyingÂ motives or causes. Make inferences and find evidence to support generalizations Â Evaluating: Present andÂ defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Â Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions | Â Â Â Â Â Â Â Â 16 | Â Â Â Â Â Â Â Â 20 |
Â | Total | 80 | 100 |
No chapter wise weightage. Care to be taken to cover all the chapters
Suitable internal variations may be made for generating various templates keeping the overall weightage to different forms of questions and typology of questions the same.
Choice(s):
– There will be no overall choice in the question paper.
– However, 33% internal choices will be given in all the sections
However, 33% internal choices will be given in all the sections
Internal Assessment: 20 Marks |
Periodic Tests ( Best 2 out of 3 tests conducted) – 10 Marks |
Mathematics Activities – 10 Marks |
Best Reference Books for CBSE Class 11 Maths besides NCERT Textbooks
Mathematics is another important subject of CBSE Class 11 and these books are considered as best books for the preparation of this subject.
NCERT Exemplar for Class 11 Mathematics â€“ All Chapters |
Mathematics for Class 11 by R D Sharma (2019 â€“ 2020 Session) |
NCERT Exemplar Solutions for Class 11 Maths â€“ All Chapters |
NCERT Solutions for CBSE Class 11 Mathematics: All Chapters |