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Maths Notes Class XI

As Per CBSE (NCERT) Books

Chapter Wise-Notes PDF  ( Board Level )

Syllabus

Chapter 1 - 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.

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Chapter 2 - Relations and 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 (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.

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Chapter 3 - Trigonometric Functions

Positive and negative angles. Measuring angles in radians and in degrees and conversion from one into other. Definition of trigonometric functions with the help of unit circle. Signs of trigonometric functions.

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Chapter 4 - 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.

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Chapter 5 - 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 and polar representation of complex numbers.

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.

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Chapter 7 - Permutations and Combinations

Fundamental principle of counting. Factorial n (n!). Permutations and combinations, derivation of formulae for nPr , nCr and their connections, simple applications.

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Chapter 7 : 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.

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Chapter 8 : 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. Formula for the following special sum:

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Chapter 9 : Straight Lines

Brief recall of two dimensional geometry from earlier classes. Shifting of origin. 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

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Chapter 10 : 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.

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Chapter 11 : Introduction to Three–dimensional Geometry

 

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.

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Chapter 12 : Limits and Derivatives

 

Derivative introduced as rate of change both as that of distance function and geometrically.

Intutive idea of limit. Limits of polynomials and rational functions, trignometric, exponential and logarithmic functions. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions.

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Chapter 13 : 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 Mathematics.

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Chapter 14 : 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.

 

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Chapter 15 : Probability

Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, 'not', 'and' & 'or' events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes. Probability of an event, probability of 'not', 'and' and 'or' events.

 

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Other Important Links

Interactive Simulations Of Physics

Detailed Solutions To H.C Verma ( Along With Short Answers & Objective I ,II )

Concept Maps Of Complete  Physics (JEE/NEET)

Important Derivations  Chapter-wise Of Physics for[ Class XII ]

 

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