What is the hardest math course in college?

Calculus 3

Which millenium problem is the easiest?

At the easiest, I would place Navier–Stokes, P vs NP, and the Riemann Hypothesis. These can all be understood from undergraduate level mathematics (or computer science). The Navier–Stokes problem is a system of partial differential equations, so a course on PDEs (or vector calculus) will do.

What happens if P vs NP is solved?

If P=NP, then all of the NP problems can be solved deterministically in Polynomial time. If you could solve clique with a polynomial time algorithm, this would prove that P=NP, and then you could also use your method for solving clique to solve all of the other problems on that wiki-list, as an implication.

Why is Navier Stokes unsolvable?

In particular, solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. Even more basic properties of the solutions to Navier–Stokes have never been proven.

Who Solved Navier Stokes?

Russian mathematician Grigori Perelman was awarded the Prize on March 18 last year for solving one of the problems, the Poincaré conjecture – as yet the only problem that’s been solved. Famously, he turned down the \$1,000,000 Millennium Prize.

Why is Navier Stokes important?

The Navier–Stokes equations are useful because they describe the physics of many phenomena of scientific and engineering interest. They may be used to model the weather, ocean currents, water flow in a pipe and air flow around a wing.

Who proved the Navier Stokes equation?

Navier-Stokes equation, in fluid mechanics, a partial differential equation that describes the flow of incompressible fluids. The equation is a generalization of the equation devised by Swiss mathematician Leonhard Euler in the 18th century to describe the flow of incompressible and frictionless fluids.
The text contains multiple questions about advanced mathematical topics and their solutions, but only one question has a direct answer provided.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
What is the hardest math course in college?

Calculus 3

Which millenium problem is the easiest?

At the easiest, I would place Navier–Stokes, P vs NP, and the Riemann Hypothesis. These can all be understood from undergraduate level mathematics (or computer science). The Navier–Stokes problem is a system of partial differential equations, so a course on PDEs (or vector calculus) will do.

What happens if P vs NP is solved?

If P=NP, then all of the NP problems can be solved deterministically in Polynomial time. If you could solve clique with a polynomial time algorithm, this would prove that P=NP, and then you could also use your method for solving clique to solve all of the other problems on that wiki-list, as an implication.

Why is Navier Stokes unsolvable?

In particular, solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. Even more basic properties of the solutions to Navier–Stokes have never been proven.

Who Solved Navier Stokes?

Russian mathematician Grigori Perelman was awarded the Prize on March 18 last year for solving one of the problems, the Poincaré conjecture – as yet the only problem that’s been solved. Famously, he turned down the \$1,000,000 Millennium Prize.

Why is Navier Stokes important?

The Navier–Stokes equations are useful because they describe the physics of many phenomena of scientific and engineering interest. They may be used to model the weather, ocean currents, water flow in a pipe and air flow around a wing.

Who proved the Navier Stokes equation?

Navier-Stokes equation, in fluid mechanics, a partial differential equation that describes the flow of incompressible fluids. The equation is a generalization of the equation devised by Swiss mathematician Leonhard Euler in the 18th century to describe the flow of incompressible and frictionless fluids.
user
The text contains multiple questions about advanced mathematical topics and their solutions, but only one question has a direct answer provided.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS