Additive Property (Number Systems)

Complex Numbers (Number Systems)

Chain Rule (Differentiation)

Introduction to Integration

Slope or Gradient of a line (Analytical Geometry)

Scalar Product and Projection (Vectors)

Number System

Irrational Numbers

Properties of Real number Pt 1

Properties of Real Numbers Pt 2

Properties of Real Numbers Pt 3

Properties of R

Properties of Inequalities Part 1

Additive Property

Multiplicative Property

Properties of Fractions

Complex numbers

Complex Number Tricks for Entry Test

Operations on Complex Number

Conjugate of Complex number

Properties of Conjugate

Properties of conjugate

Modulus of Complex number

Multiplicative inverse

Properties of Modulus

Properties of Modulus

Polar Form Part 1

Polar Form Part 2

Introduction to Sets

Proper and improper subset

Types of sets (1)

Types of sets (2)

Types of sets (3)

Operation on Sets (1)

Operation on sets (2)

Algebra of sets (1)

Algebra of Sets (2)

Algebra of Sets (3)

Venn Diagram (1)

Venn Diagram (2)

Venn Diagram (3)

Logics (1)

Logics (2)

Logics (3)

Logics (4)

Logics final

Functions (1)

Functions (2)

Functions (3)

Functions (4)

Group (1)

Group (2)

Group (3)

Intro to Matrices

Types of Matrices 1

Types of Matrices 2

Types of Matrices 3

Types of Matrices 4

Transpose of a Matrix

Determinant and Adjoint of a matrix

Inverse of a Matrix

Symmetric and Skew Symmetric

Properties of Symmetric and Skew Symmetric (1)

Properties of Symmetric and Skew Symmetric (2)

Hermitian and Skew Hermitian

Minor of a Matrix

Cofactor of a Matrix

Properties of Determinant (1)

Properties of Determinant (2)

Adjoint with order 3x3

Rank of a Matrix

Triangular Matrix

1. Introduction to Quadratic equation

2. Methods of Quadratic equation

3. Types of Quadratic equation (1)

4. Types of quadratic equation (2)

5. Cuberoot of unity

6. Cuberoot of unity (tricks)

7. Four fourth root of unity with tricks

8. Remainder and Factor theorem

9. Relation of the roots of Q.E

10. Roots Equation

11. Nature of the roots of Q.E and System of simulataneous equations

1. Introduction to Partial fraction

2. Types of Equations

3. Types of Fractions

4. Cases of Partial Fraction

1. Introduction to sequences

2. Arithmetic progression

3. Arithmetic means

4. Series (sum)

5. Geometric Progression

6. Geometric Means

7. Geometric Series (Sum)

8. Harmonic Progression+ Means

9. Relation between A.M,G.M and H.M

1. Introduction to Permutation

2. Combination

1. Introduction to Binomial Theorem with positive index

2. Binomial Theorem with Negitive index

3. Pascal's Triangle

4. Middle Term in Expansion

01 Introduction to trigonometry

02 Sexagesimal and Circular system

03 Relation and General angles

04 Quadrants introduction

05 Fundamental Identities and Formulations

01 Fundamental laws and deduction

02 Allied Angles

03 Co Ratios

04 Co Ratios MCQS and TRICK

05 Double Angle (sine) ratio

06 Double Angle (cosine) ratio final

07 Triple Angles and (Sum,Difference to product vice versa)

01 Period of a Trigonometric Functions

02 Domain and Range

01 Introduction (Application of trigonometry)

02 Oblique triangle (1) Law of Cosine

03 Oblique triangle (2) Law of Tangent and law of Sine

04 Oblique triangle (3) Half angles formulas

05 Types of Triangles

06 Area of Triangles

07 Circle connected with triangle

1. Introduction to Inverse Functions

2. Special Cases

1. Solution of Trigonometric Equations

1. Introduction to Functions (1)

2. Types of Functions (1)

3. Types of Functions (2)

4. Types of Functions (3)

5. Types of Functions (4)

6. Composition and Inverse of a Function

7. Domain and Range of a function

8. Limit of a Function

9. Continuous Function

1. Introduction to Derivative +Algebraic (formulas)

2. Chain Rule

3.Derivative of Trigonometric functions

4. Derivative Exponential and Logarithmic functions

5. Derivative of Hperbolic and Inverse Hyperbolic functions

6. Series Expansion (Maclaurine and Taylor Series)

7. Increasing and Decreasing Functions (Maxima and Minima)

1. Introduction

2. Integration of Trigonometric functions

3. Integration of Circular Functions

4. Product Rule (Integration by Parts)

5. Definite Integral

6. Theorems of Integration

7. Differential Equations (order+degree)

1. Introduction to Analytical geometry

2. Triangle and Ratio formula of line

3. Slope or Gradient of a line

4. Standard form of straight line (slope concept)

5. Slope forms

6. Iines relation

1. Linear Inequalities (introduction)

2.Linear Programming (1)

3. Linear Programming (2)

1. Conic section (Introduction)

2. Conic Section (Circle)

3. Equation of Normal and Tangent (Circle)

4. Properties of Circle

5. Parabola (Introduction+Summary)

6. Ellipse (Introduction+Summary )

7. Hyperbola (Introduction+Summary)

1. Introduction to vector and scalar

2. Types of Vectors

3. Scalar Product and Projection

4. Cross Product or Vector Product

5. Scalar Triple Product