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Mathematics Class 11
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Gautam Gupta
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Sets
1
Introduction
Sets and their Representations
1
The Empty Set
Finite and Infinite Sets
Equal Sets
Subsets
Power Set
Universal Set
Venn Diagrams
Operations on Sets
Complement of a Set
Practical Problems on Union and Intersection of Two Sets
1
Relations and Functions
1
Introduction
Cartesian Product of Sets
Relations
Functions
Trigonometric Functions
1
Introduction
Angles
Trigonometric Functions
Trigonometric Functions of Sum and Difference of Two Angles
Trigonometric Equations
Principle of Mathematical Induction
1
Introduction
1
Motivation
The Principle of Mathematical Induction
Complex Numbers and Quadratic Equations
Introduction
Complex Numbers
Algebra of Complex Numbers
The Modulus and the Conjugate of a Complex Number
Argand Plane and Polar Representation
Quadratic Equations
Linear Inequalities
Introduction
Inequalities
Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
Graphical Solution of Linear Inequalities in Two Variables
Solution of System of Linear Inequalities in Two Variables
Permutations and Combinations
1
Introduction
Fundamental Principle of Counting
Permutations
Combinations
Binomial Theorem
1
Introduction
Binomial Theorem for Positive Integral Indices
1
General and Middle Terms
Sequences and Series
Introduction
4
Sequences
Series
Arithmetic Progression (A.P.)
2
Geometric Progression (G.P.)
Relationship Between A.M. and G.M.
Sum to n terms of Special Series
Straight Lines
3
Introduction
Slope of a Line
Various Forms of the Equation of a Line
General Equation of a Line
Distance of a Point From a Line
Conic Sections
Introduction
Sections of a Cone
Circle
Parabola
Ellipse
Hyperbola
Introduction to Three Dimensional Geometry
Introduction
Coordinate Axes and Coordinate Planes in Three Dimensional Space
Coordinates of a Point in Space
Distance between Two Points
Section Formula
Limits and Derivatives
Introduction
Intuitive Idea of Derivatives
Limits
Limits of Trigonometric Functions
Derivatives
Mathematical Reasoning
1
Introduction
Statements
New Statements from Old
Special Words/Phrases
Implications
Validating Statements
Statistics
Introduction
Measures of Dispersion
1
Range
Mean Deviation
1
Variance and Standard Deviation
Analysis of Frequency Distributions
Probability
Introduction
Random Experiments
Event
Axiomatic Approach to Probability
Appendix 1: Infinite Series
Introduction
Binomial Theorem for any Index
Infinite Geometric Series
Exponential Series
Logarithmic Series
Appendix 2: Mathematical Modelling
Introduction
Preliminaries
What is Mathematical Modelling
11th
Mathematics
NCERT
Text Book
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