The Math Major

The video tutorial explores the two main subfields of mathematics: applied math and pure math. Applied math focuses on solving real-world problems using mathematical concepts, while pure math deals with solving problems within mathematics itself. The tutorial covers various applied math courses, such as calculus, differential equations, and numerical analysis, highlighting their applications in fields like engineering and physics. It also introduces pure math, emphasizing the importance of proofs and abstract algebra. The video aims to provide insights into the different paths and careers available in mathematics.

What are the two main subfields of mathematics mentioned in the text?

Explain the difference between applied math and pure math.

What is an example of a real-world application of prime numbers?

Describe the importance of vector calculus in applied math.

What is a differential equation and why is it significant in applied math?

How does numerical analysis differ from exact solutions in mathematics?

What is chaos theory and how does it relate to applied math?

Can you provide an example of a project that applied math students might undertake?

What are some common minors that applied math majors might pursue?

What is the role of proofs in pure math classes?