Class 11 Math

Chapter 1: Sets

1. Introduction to Sets
2. Methods of representing a set
3. Types of sets
4. Subset
5. Proper Subset
6. Subset of set of the real numbers
7. Interval as subset of R Real Number
8. Power Set
9. Universal Set
10. Venn diagram
11. Operation on Sets
12. Cardinality of Sets
13. Set Theory Symbols

Chapter 2: Relations & Functions

1. Cartesian Products
2. What is relations?
3. What is Function
4. Domain of Function
5. Range of Function
6. Identity Function
7. Constant Function
8. Linear Function
9. Modules Function
10. Greatest Integer Function
11. Polynomial Function
12. Algebra of Real Function

Chapter 3: Trigonometry and its function

1. Trigonometry
2. Trigonometric functions
3. Trigonometric Functions of Sum and Difference of Two Angles
4. Domain,Range And Graph of trigonometric functions
5. Trigonometric Identities
6. Trigonometric equations
7. Values Of Sin 15, Cos 15 ,Tan 15 ,Sin 75, Cos 75 ,Tan 75
8. Values Of Sin 18, Cos 18, Tan 18, Sin 36, Cos 36, Sin 54, Cos 72
9. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

Chapter 4: Complex numbers And Quadratic equation

1. What is complex numbers
2. Properties Of complex Numbers
3. Conjugate of Complex Numbers
4. Modulus of complex numbers
5. Argand Plane
6. Polar Representation of the complex number
7. Rotation Of Complex Number
8. What Is The Significance Of Complex Numbers
9. Euler's Formula And De Moivre's Theorem
10. Cube Root Of Unity
11. Complex Roots Of Quadratic Equations
12. Solution Of Quadratic Equations (With Real Coefficients) In The Complex Number System.
13. Square Root Of A Complex Number.

Chapter 5: Linear Inequalities

1. What are inequalities
2. Things which changes the direction of the inequality
3. Linear Inequation in One Variable
4. Linear Inequation in Two Variable
5. Steps to solve the inequalities in one variable
6. Steps to solve the inequality of the another form
7. Quadratic Inequation
8. Steps to solve Quadratic or polynomial inequalities
9. Cubic Inequation
10. Steps to solve Cubic inequalities
11. Absolute value equation
12. Absolute value Inequation
13. Graphical Solution of Linear inequalities in Two Variable

Chapter 6: Permutation and Combinations

1. What is factorial
2. Fundamental Principle of counting
3. Permutation
4. Restricted Permutations
5. Another Theorem of Permutation
6. What is combination
7. Combination Formula
8. Properties of Combination Formula

Chapter 7: Binomial Expansion

1. Binomial Theorem
2. Important conclusion from Binomial Theorem
3. General Term in Binomial Expansion
4. Middle Term in Binomial Expansion

Chapter 8: Sequences and Series

1. Sequences and Series Detailed
2. Geometric Progression (G.P.)
3. Relationship Between A.M. and G.M.

Chapter 9: Straight Lines

Straight Lines

Chapter 10: Conic Sections

1. Conic Sections
2. Circles
3. Parabola
4. Ellipse
5. Hyperbola

Chapter 11: Introduction to Three dimensional Geometry

1. Introduction To Three Dimensional Geometry
2. Coordinate Axes And Coordinate Planes In Three Dimensional Space
3. Coordinates Of A Point In Space
4. Distance Between Two Points

Chapter 12: Limits And Derivatives

1. Limits in Maths
2. Limits of Trigonometric Functions 
3. Derivatives in Maths
4. Intuitive Idea of Derivatives

Chapter 13: Statistics

1. Introduction
2. Measures of Dispersion
3. Range
4. Mean Deviation
5. Variance and Standard Deviation

Chapter 14:Mathematical induction

1. What is Deductive reasoning
2. What is Inductive reasoning
3. The Principle of Mathematical Induction
4. Solved Examples

Chapter 15: Probability

1. What Is Probability
2. Addition Theorems On Probability
3. Axiomatic Approach To Probability

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