Commonly referred to as a "mathematical maturity" booster, this course is designed specifically for students who want to master the art of the proof before diving into notoriously difficult upper-level subjects like Real Analysis (18.100) Algebra (18.701) Why 18.090 is an MIT "Hidden Gem" The Bridge to Proofs
By the end of the semester, students are expected to move comfortably between abstract concepts and concrete proofs. Why Take 18.090 at MIT?
If you are planning your upcoming semester or looking to expand your math background, let me know: What you are taking concurrently 18.090 introduction to mathematical reasoning mit
18.090 Introduction to Mathematical Reasoning is a carefully designed on-ramp to the upper echelons of mathematics. If you're ready to move beyond computation and into the world of mathematical truth, 18.090 will equip you with the essential skills, confidence, and intuition to thrive in MIT’s most demanding math courses.
: Understanding infinite sets, cardinality (the "size" of infinity), and the structure of the real number system. Number Theory Commonly referred to as a "mathematical maturity" booster,
If you'd like to explore how 18.090 compares to other math subjects at MIT, or want to know more about the prerequisites for higher-level courses, let me know!
The heart of the course lies in mastering various methods of proof, including: If you're ready to move beyond computation and
Set theory is the bedrock of modern mathematics; almost every mathematical object is fundamentally a set. 18.090 covers: Set operations (unions, intersections, complements). The power set (the set of all subsets). Cartesian products. Venn diagrams and their limitations in formal proof. 3. Relations and Functions While you may think of a function as a formula like