Mathematics

Sets

Notes

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

Assignment

Assignments

NCERT Solutions

NCERT Solution1

Relations & Functions for Class11

Notes

1. What is Cartesian Sets
2. What is relations?
3. What is Function
4. Algebra of Real Function

Assignments

Assignments

Trigonometry and its function

Notes

Introduction

What is angle

Degree and Radian

Trigonmetric Ratio's

Trignometric functions

Domain and Range of trigonimetric functions

Trigonometrics function of Sum and difference of angless

Trigonometric equations

Mathematical induction

Notes

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

Assignments

Assignments

complex numbers

Notes

1. What is complex numbers
2. Properties Of complex Numbers
3. Conjugate of Complex Numbers
4. Modulus of complex numbers
5. Graphical Representation of Complex Number
6. Polar Representation of the complex number
7. Rotation of Complex Number
8. What is the significance of Complex Numbers

NCERT Solutions

NCERT Solution1

Quadratic equation

Notes

1. Flashback of Quadratic equation
2. Complex Roots of quadratic equations

Linear Inequalities

Notes

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. Quadratic Inequation
6. Steps to solve the inequalities in one variable
7. Steps to solve the inequality of the another form
8. Steps to solve Quadratic or polynomial inequalities
9. Absolute value equation
10. Absolute value inequation
11. Graphical Solution of Linear inequalities in Two Variable

NCERT Solutions

NCERT Solution1

Permutation

Notes

1. What is factorial
2. Fundamental Principle of counting
3. Permutation
4. Restricted Permutations
5. Another Theorem of Permutation

NCERT Solutions

1. NCERT Solution1
2. NCERT Solution2

Combination

Notes

1. What is combination
2. Combination Formula
3. Properties of Combination Formula

Binomial Expansion

Notes

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

Probability for Class11

Notes

1. What is Probability
2. Terms related to Probability
3. Algebra of events operations<
4. Classical Probability
5. How to Solve Probability questions
6. Addition Theorems on Probability
7. Solved examples

Relations and Functions

Notes

1. What is Cartesian Sets
2. What is relations?
3. What is Function
4. Algebra of Real Function
5. Type Of Relations
6. Type Of Functions
7. Composite Function
8. Invertible Function

Vector Algebra

Notes

1. What is vector
2. Difference between Scalar and Vector
3. Type Of Vectors
4. Addition Of vector
5. Subtraction of vectors
6. Scalar multiplication of vectors
7. Components of the vector
8. Multiplication of two vectors
9. Dot product of vectors
10. Cross product of vectors
11. Triple product
12. How to solve vector algebra problems

Vidoes

vector addition and subtraction

Vectors and their properties

Algebra of Matrices

Notes

1. What is Matrix
2. Types of Matrices
3. Equality of Matrices
4. Addition (and Subtraction) of Matrices
5. Properties of Addition
6. Identity Matrix
7. Scalar of  Multiplication/Division Matrix
8. Multiplication Of Matrix
9. Transpose of Matrix
10. Why study the Matrix
11. How to Solve Matrix Problem
12. Solved Examples

Worksheets

Matrices Worksheet-1

Matrices Worksheet-2

Matrices Worksheet-3

Matrices Worksheet-4

Probability

Notes

1. Flashback of Class11 Notes
2. What is Conditional Probability
3. Multiplication Theorem on Probability<
4. Total Probability Law
5. Solved example
6. Bayes Formula
7. Solved examples