Introduction
When it comes to rigorous college math courses, Math 55 stands in a league of its own. Often dubbed “the hardest undergraduate math class in the U.S.,” Math 55 at Harvard University is legendary for its difficulty, prestige, and the elite group of students who take on its challenge. If you’ve ever wondered what it takes to survive this intense mathematical journey, keep reading as we break down its structure, history, and strategies for success.
What Is Math 55?
A Brief Overview
Math 55 is a two-semester sequence at Harvard that covers advanced mathematical topics at an accelerated pace. The course is split into two parts:
- Math 55 a: Studies linear algebra, group theory, and real analysis.
- Math 55 b: Focuses on complex analysis, topology, and advanced abstract algebra.
Unlike typical college math courses, Math 55 moves at a pace that requires students to master weeks of standard coursework in a single lecture.
Who Takes Math 55?
Math 55 attracts students with an exceptional aptitude for mathematics—many have already participated in international math Olympiads or taken graduate-level courses in high school. However, only a fraction of those who start the course finish it, as many students drop out due to its intensity.
Why Is Math 55 So Hard?
Fast-Paced Curriculum
Math 55 is designed to challenge even the brightest mathematical minds. The course compresses what would normally take years to learn into just two semesters.
Heavy Workload
Students are expected to complete 20–30 hours of homework per week—more than double what a standard college course demands. Assignments are proof-based, requiring deep understanding and creativity.
High Expectations
Professors assume students already possess a strong foundation in mathematical reasoning. This allows for minimal review of prerequisite concepts, making the transition into the course difficult even for top-tier students.
How to Succeed in Math 55
If you’re considering taking Math 55 or just curious about surviving such a course, here are some key strategies:
1. Strengthen Your Foundations
Before entering Math 55, ensure you’re comfortable with:
- Proof-based mathematics (e.g., induction, contradiction)
- Linear algebra
- Abstract algebra
- Real analysis
2. Develop Strong Study Habits
- Form Study Groups: Collaboration is essential. Many students rely on peer discussions to work through difficult problems.
- Master LaTeX: Most assignments require professional formatting using LaTeX, a typesetting system used in mathematics.
- Stay Consistent: Falling behind in Math 55 can be fatal. Keep up with the coursework daily.
3. Seek Help When Needed
Harvard offers resources such as:
- Office hours with professors and teaching assistants
- Mathematics study centers
- Online forums and discussion groups
Famous Alumni Who Took Math 55
Many notable mathematicians and scientists took Math 55, including:
- Richard Stallman – Founder of the Free Software Foundation
- Daniel Spielman – MacArthur Fellow and professor at Yale
- Simion Filip – Renowned researcher in geometry and topology
These individuals have made significant contributions to mathematics and technology, proving that Math 55 can be a stepping stone to groundbreaking work.
Conclusion
Math 55 is more than just a course—it’s a rite of passage for mathematical prodigies. Whether you’re considering taking the challenge or simply fascinated by the world’s hardest math class, understanding its demands can give you a deep appreciation for advanced mathematics. If you enjoyed this deep dive, be sure to subscribe to our newsletter for more insights into elite mathematics courses and study techniques.