Collections of undergraduate research projects I would like to compile a "big list" of undergraduate research projects in the following areas of mathematics:


*

*calculus;

*analysis;

*abstract algebra;

*linear algebra;

*number theory;

*geometry;

*mathematical physics;

*game theory;

*graph theory, combinatorics, probability, statistics;

*algorithms, computability, computational complexity, and other computer-science-related topics;

*et cetera...
To be precise, I'm searching for some references (books, web-pages, online notes, etc.) that collect 


*

*the statement of the problems (which are the most important thing);  

*and preferably hints, guidance, or
complete solutions (if they have been found) of the problems, and
the actual complete projects.



I will start the list myself by mentioning the well-known book Student Research Projects in Calculus.

Not an answer, just one contribution.
The William's College SMALL summer program is an impressive model, at the high-end. "Around 500 students have participated in the project since its inception in 1988."

There are six areas this (2015) summer: Arithmetic Combinatorics (Leo Goldmakher), Combinatorial Geometry (Satyan Devadoss), Commutative Algebra (Susan Loepp), Geometry (Frank Morgan), Hyperbolic Knots (Colin Adams) and Number Theory & Harmonic Analysis (Steven Miller and Eyvi Palsson).

Here is a link for the project abstracts.
Past projects have resulted in an impressive number of published papers.
