Great math problems for the 21st-century mind

Learn about the great math problems that stand on the horizon for today’s most brilliant minds. What is Fermat’s Last Theorem and how was it solved? What are the Riemann Hypothesis and Birch and Swinnerton-Dyer Conjecture, and what does it take to earn the $1,000,000 prize granted to the person who solves them? Over 10 lessons, you’ll gain a better understanding of the nuances of these problems. By the end of the course, you’ll leave with a new appreciation of the wonders of the deepest math mysteries.

   128 students completed this course

   80% recommend it to other students

   Teacher: John Robin


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Course plan

Lesson 1: Hilbert’s Challenge to the Mathematicians of Tomorrow
Lesson 2: Fermat’s Last Theorem, the Sum of All Powers
Lesson 3: From Sums to Curves to Contradictions: How Fermat’s Last Theorem Was Finally Solved
Lesson 4: Endless Sums and Endless Patterns, the Birth of a $1,000,000 Problem
Lesson 5: Sums That Add to Zero, the Gateway to the Riemann Hypothesis
Lesson 6: Nontrivial Zeros in Complex Numbers, the Formal Definition of the Riemann Hypothesis
Lesson 7: The Birch and Swinnerton-Dyer Conjecture, Another $1,000,000 Problem
Lesson 8: Rational Points on Elliptic Curves
Lesson 9: Elliptic Curves and Modular Forms, a $1,000,000 Mystery
Lesson 10: A Glimpse into Infinity: The Mandelbröt Set
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  • Format
    One lesson delivered via email daily
  • Duration
    10 days
  • Time
    5 minutes reading a day

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