18090 Introduction To Mathematical Reasoning Mit Extra Quality
Mastering 18.090: A Deep Dive into MIT’s Introduction to Mathematical Reasoning
Week 2:
The primary objectives of this course are: Mastering 18
They realize they have spent years learning to operate mathematical machinery, but they have never learned how the machine is built. Students are introduced to the rigorous language of
In standard calculus or linear algebra, success is often measured by finding the correct numerical answer. In 18.090, the "answer" is the logical journey itself. Students are introduced to the rigorous language of set theory, logic, and functions. The goal is to move away from intuition—which can be deceptive—and toward deductive certainty. This requires a high level of "extra quality" in thought, as a single logical gap can invalidate an entire argument. Mastering the Tools of the Trade Mastering the Tools of the Trade Introduction Methods
Introduction
Methods of Proof: Direct proof, contrapositive, contradiction, and mathematical induction.
Mastering 18.090: A Deep Dive into MIT’s Introduction to Mathematical Reasoning
Week 2:
The primary objectives of this course are:
They realize they have spent years learning to operate mathematical machinery, but they have never learned how the machine is built.
In standard calculus or linear algebra, success is often measured by finding the correct numerical answer. In 18.090, the "answer" is the logical journey itself. Students are introduced to the rigorous language of set theory, logic, and functions. The goal is to move away from intuition—which can be deceptive—and toward deductive certainty. This requires a high level of "extra quality" in thought, as a single logical gap can invalidate an entire argument. Mastering the Tools of the Trade
Introduction
Methods of Proof: Direct proof, contrapositive, contradiction, and mathematical induction.
