Algebra is a branch of mathematics dealing with variables, constants, and arithmetic operations. 

The Main parts of Algebra includes:

1.Matricis and Determinants

2.Probability

3.Permutation and combinations

4.Quadratic equations

5.Progressions and series

6.Complex numbers

7. Binomial Theorem

8. Vector Algebra

9. Mathematical Induction

10. Statistics

11. Mathematical Reasoning

Calculus is a branch of mathematics that involves the study of change.  It is broadly divided into two parts:

Differential Calculus cuts something into small pieces to find how it changes. It consists of the following chapters:

1. Functions

2. Limits

3. Continuity

4. Differentiability and Differentiation

5. Application of Derivatives

Integral Calculus joins (integrates) the small pieces together to find how much there is. It consists of following chapters:

1. Indefinite Integration

2. Definite Integration

3. Area Under the Curves

4. Differential Equations

Coordinate geometry is where algebra and geometry meets each other. Coordinate geometry is the study of geometry using algebra, that is using relations, operations, equations etc. to represent geometrical figures and to find perimeters, areas, distances, etc.

It consists of the following chapters:

1. Introduction of Coordinate Geometry in Triangles

2. Straight Lines

3. Circles

4. Conic Sections: Parabola

5. Ellipse

6. Hyperbola

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles

Trigonometry consists of following Chapters:

1. Trigonometric Ratios and Identities

2. Trigonometric Equations

3. Properties of Triangles

4. Inverse Trigonometric Functions

5. Height and Distances