What is the Difference Between Mathematics and Applied Mathematics?

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The main difference between mathematics and applied mathematics lies in their focus and application.

Mathematics (also known as pure mathematics) focuses on:

  1. Abstract and theoretical concepts in math.
  2. Proving theorems and researching new realms of math.
  3. Theorems, abstract concepts, and mathematical structures.

On the other hand, Applied Mathematics is concerned with:

  1. Using mathematical principles and theories to solve real-world problems.
  2. Applying various branches of math to understand and answer real-world questions.
  3. Working in various industries such as healthcare, finance, insurance, chemistry, logistics, and engineering.

In summary, pure mathematics deals with the theoretical side of math and its underlying principles, while applied mathematics focuses on using mathematical techniques to solve practical problems in various fields.

Comparative Table: Mathematics vs Applied Mathematics

Here is a table that highlights the differences between Mathematics and Applied Mathematics:

Parameters Mathematics Applied Mathematics
Definition The study of topics like quantity (number theory), structure (algebra), space (geometry), and change (mathematical analysis). The application of mathematical methods by various fields such as Physics, Engineering, Medicine, Business, Computer Science, etc.
Applications Algebra, geometry, number theory, differential or integral calculus. Physics, biology, business, economics.
Career Options Accountant, Computer programmer, Engineer, etc..

In summary, Mathematics is the study of various mathematical topics, while Applied Mathematics is the application of mathematical methods to real-world problems in various fields. The syllabus for Mathematics is more aligned with the science stream, whereas the Applied Mathematics syllabus is designed for those who choose the commerce, science, or humanities stream.