मराठी व्याकरणात "लिंग"

  

Here’s a general overview of some key branches and concepts in mathematics:

 

1.     Arithmetic

a.      Basic operations: addition, subtraction, multiplication, and division.

b.     Concepts: fractions, decimals, percentages, and ratios.

 

2.     Algebra

a.      Variables and constants.

b.     Expressions and equations.

c.      Solving linear equations and quadratic equations.

d.     Functions and graphs.

 

3.     Geometry

a.      Shapes: squares, rectangles, triangles, circles, and polygons.

b.     Area and perimeter formulas.

c.      Volume and surface area of 3D shapes (cubes, cylinders, spheres).

d.     Theorems (e.g., Pythagorean theorem).

 

4.     Trigonometry

a.      Relationships between the angles and sides of triangles.

b.     Trigonometric ratios: sine, cosine, tangent.

c.      Trigonometric identities and equations.

 

5.     Calculus

a.      Differentiation: finding the rate of change or slope of a function.

b.     Integration: finding the area under a curve.

c.      Fundamental theorem of calculus.

 

6.     Statistics

a.      Data collection and analysis.

b.     Measures of central tendency: mean, median, mode.

c.      Probability theory and distributions.

 

7.     Linear Algebra

a.      Vectors and matrices.

b.     Systems of linear equations.

c.      Eigenvalues and eigenvectors.

 

8.     Discrete Mathematics

a.      Study of countable structures (graphs, trees, combinatorics).

b.     Logic, set theory, and algorithms.

 

9. Number Theory

a.      Properties and relationships of numbers, especially integers.

b.     Prime numbers, divisibility, and modular arithmetic.

 

10. Mathematical Logic

a.      Study of formal systems, proofs, and logical reasoning.

b.     Propositional and predicate logic.