: Direct proof, contrapositive, contradiction, and mathematical induction. Number Theory Basics : Properties of integers, divisibility, and prime numbers. Department of Mathematics | University of Washington Recommended Resources & "Extra Quality" Content
The standard MIT course 18.090 (now often merged into 18.100 or replaced by 18.S096) focuses on the bedrock of higher math: logic, sets, proofs, induction, functions, and basic number theory. The "Extra Quality" label here refers to a fan-made or instructor-supplemented pack that goes beyond the sparse problem sets. It typically includes: The "Extra Quality" label here refers to a
Week 12:
: Applying rigor to the sequences of real numbers, providing the "why" behind the calculus students have already learned. 4. The Broader Impact: Math as a Language 6.1: Introduction on Mathematical Reasoning The Broader Impact: Math as a Language 6
Typically available during the Spring semester. About Us - MIT Mathematics : Direct proof
The "extra quality" of the Introduction to Mathematical Reasoning experience is that it doesn't just teach you math; it teaches you how to think. It strips away the comfort of plug-and-chug formulas and replaces it with the confidence that comes from constructing an ironclad argument.
: Direct proof, contrapositive, contradiction, and mathematical induction. Number Theory Basics : Properties of integers, divisibility, and prime numbers. Department of Mathematics | University of Washington Recommended Resources & "Extra Quality" Content
The standard MIT course 18.090 (now often merged into 18.100 or replaced by 18.S096) focuses on the bedrock of higher math: logic, sets, proofs, induction, functions, and basic number theory. The "Extra Quality" label here refers to a fan-made or instructor-supplemented pack that goes beyond the sparse problem sets. It typically includes:
Week 12:
: Applying rigor to the sequences of real numbers, providing the "why" behind the calculus students have already learned. 4. The Broader Impact: Math as a Language 6.1: Introduction on Mathematical Reasoning
Typically available during the Spring semester. About Us - MIT Mathematics
The "extra quality" of the Introduction to Mathematical Reasoning experience is that it doesn't just teach you math; it teaches you how to think. It strips away the comfort of plug-and-chug formulas and replaces it with the confidence that comes from constructing an ironclad argument.