18.104 | Fall 2006 | Undergraduate

Seminar in Analysis: Applications to Number Theory

Projects

In this undergraduate level seminar for mathematics majors, students present and discuss subject matter taken from current journals or books.

Sample Student Work

All student work is used with permission.

Presentations

The students will take turns giving presentations using slides (computer or overhead projector). This is an interactive session, therefore attendance is required.

Paper

Each student will write a paper on a topic related to the course. It must be written in Latex and approximately ten pages long. The writing should be aimed at a typical MIT math major, and it should reflect the student’s own understanding of the subject.

TOPICS AUTHORS PRESENTATIONS PAPERS
The Sine Product Formula and the Gamma Function Erica Chan (PDF) (PDF)
Stirling’s Formula: An Approximation of the Factorial Eric Gilbertson (PDF)  
Twin Prime Conjecture Allison Berke (PDF) (PDF)
Average Values of Arithmetic Functions Rose Wong (PDF) (PDF)
The Golden Ratio Agustinus Peter Sahanggamu (PDF) (PDF)

Course Info

Instructor
Departments
As Taught In
Fall 2006
Learning Resource Types
Problem Sets
Presentation Assignments with Examples