AMS and MAA resources

• AMS list of resources for undergraduate math majors
  
  
• MAA list of resources for undergraduate math majors

Programs for Studying Mathematics

Semester Programs

• The Mathematics Advanced Study Semesters at Penn State
  The MASS program provides a comprehensive, semester-long mathematical environment for a group of talented undergraduate students recruited from throughout the United States. The program is located at Penn State's University Park campus in State College, PA and offers a mutually reinforcing blend of learning and research. MASS is an excellent way to prepare for the research requirements and rigors of graduate school.
  
  
• The Budapest Semesters in Mathematics Program
  A Program in English for American and Canadian undergraduates that allows you to spend a semester or year in Budapest. Courses are taugtht in English and taught by leading Hungarian scholars.
  
  
• Math in Moscow
  A semester long program in English that allows you to study mathematics in Moscow at the Independent University of Moscow (IUM), a small, elite institution of higher learning focusing primarily on mathematics. There are special scholarships available from the AMS for this program.

Summer Programs

• Research Experiences for Undergraduates
  Each summer the National Science Foundation makes possible a number of opportunities for undergraduates to join research projects. Each site consists of a group of ten or so undergraduates who work in the research programs of the host institution. Students are in general accepted from throughout the country. Each student is assigned to a specific research project, where he/she works closely with the faculty, post-docs, and graduate students. In addition, events such as seminars, lunch meetings, and social functions are organized to facilitate interaction between the undergraduates. Students are granted stipends, and in some cases assistance with housing and travel. These are very well respected programs and give undergraduates the opportunity to conduct original research. Here is a FAQ for Math REU's as well as a compilation of REU's and other opportunities in mathematics maintained at the University of Nebraska at Lincoln.
  
  
• Director's Summer Program at the National Security Agency
  The DSP is the NSA's premier outreach effort to the very best undergraduate mathematics majors in the country. Each summer, we invite 25 exceptional math students to participate in a 12-week program where they collaborate with each other and with NSA mathematicians on mission-critical problems. The students participating in the program work a broad range of problems involving applications of Abstract Algebra, Geometry, Number Theory, Combinatorics, Graph Theory, Probability, Statistics, and Analysis. For the first two weeks of the summer, lectures on modern cryptologic mathematics are given. After the lectures, the students are presented with about ten current problems and choose one or two as the focus of their research. All research is documented in a series of papers written by the students near the end of the summer. Throughout the summer, students develop mathematical theory, apply what they learn to obtain real-time solutions, and experience the success built on hard work and innovation.
  
  
• Park City Math Institute
  PCMI is a 3-week mathematics program held at Park City, Utah. The program includes groups consisting of mathematics educators, undergraduate students, graduate students, and mathematics researchers. These groups participate simultaneously, pursuing both individual courses of study and a meaningful amount of interaction. The rich mathematical experience combined with interaction among all participants results in greatly increased understanding and awareness of the issues confronting mathematics and mathematics education today. There is also an additional 10-week mentoring program for women.
  
  
• The AMS internship and co-op opportunities for undergraduates list
  A list of various companies that have summer internships available for math majors.
  
  
• Enhancing Diversity in Graduate Education
  The EDGE program is a summer program aimed at strengthening the ability of women and minority students to successfully complete graduate programs in math. Students about to enter a grad program, or those in their first year, are eligible to apply.
  
  
• The Carleton/St. Olaf Colleges Summer Mathematics Program for Women
  This program is an NSF/NSA funded program to encourage and support women in their study of mathematics.
  
  
• The George Washington University Summer Program for Women in Mathematics
  This program is a 5-week intensive program for mathematically-talented undergraduate women who are completing their junior year and may be contemplating graduate study in the mathematical sciences.