Open4Discuss

Arithmetic

• Deals with basic operations: addition, subtraction, multiplication, and division.
• Applications: Everyday calculations, budgeting, and accounting.

Algebra

• Studies mathematical symbols and rules for manipulating them.
• Topics: Equations, inequalities, polynomials, and functions.
• Example: Solving $ax+b=0$.

Geometry

• Focuses on the properties and relationships of shapes, sizes, and dimensions.
• Topics: Angles, triangles, circles, and 3D objects.
• Applications: Architecture, design, and robotics.

Trigonometry

• Studies the relationships between angles and sides of triangles.
• Functions: Sine, cosine, tangent.
• Applications: Navigation, astronomy, and wave mechanics.

Calculus

• Deals with change and motion through derivatives and integrals.
• Subfields:
  • Differential Calculus: Rates of change.
  • Integral Calculus: Area under curves.
• Applications: Physics, engineering, and economics.

Statistics and Probability

• Statistics: Collecting, analyzing, and interpreting data.
• Probability: Study of likelihood and uncertainty.
• Applications: Risk analysis, AI, and market predictions.

Number Theory

• Study of integers and their properties.
• Topics: Prime numbers, divisibility, modular arithmetic.

Discrete Mathematics

• Study of countable, distinct elements.
• Topics: Graph theory, logic, and combinatorics.
• Applications: Computer science, cryptography, and algorithms.

Linear Algebra

• Study of vectors, matrices, and linear transformations.
• Applications: Machine learning, 3D graphics, and quantum mechanics.

Topology

• Study of properties preserved under deformation, such as stretching or twisting.
• Applications: Physics, biology, and data analysis.