MATH 100501 Excursions in Advanced Mathematics

In this class, the foundation course for the Boston College Math Experience, we will discuss several areas of advanced mathematics usually taught at the college level for math majors. The topics will include topology, transformation geometry, computational geometry, chaos and coding. By learning these exciting developments in modern math, and working closely with the professor and math graduate students through lab work and projects, we expect that the participants can improve their mathematical writing and understanding while further developing their critical thinking and problem solving skills. Classes meets on Monday, Tuesday, Wednesday and Thursday from 9:00 AM to 11:00 AM. Classes will include regular lectures, discovery-type activities, discussion sections, Lab work and interesting short mathematical talks. Outside the classroom, the students will work closely with our graduate students on the homework assignments and work on projects that focuses on mathematical areas that are of interest to the participants.

Faculty: Dr. Chi-Keung Chung

Days and Times: TBD

View Past Year syllabus here

Instructor Bio

Professor Chi-Keung Cheung received his PhD from University of California-Berkeley, and has been a math professor at BC since 1993.  His research interests are in geometric analysis and complex analysis.  In recent years, he has also actively participated in training high school and elementary school math teachers. 

Second Course:

In addition to the "An Excursion into Advanced Math” course, students may also take one college level math course together with other regular BC students, or a course in a subject of their choice.  Boston College math faculty will provide guidance to students on appropriate courses to take based on application criteria. (Note that many summer courses meet in the evenings 6:00-9:15 p.m.)

The approved courses for Summer 2019 available in February.

Outcomes from this program:

By working closely with the professor and our math graduate students, participants can develop better mathematical writing skills and problem solving techniques. Most importantly, this program provides the environment and supports enabling students to develop advanced quantitative reasoning skills.

Under the supervision of the graduate students, the participants will work on specific projects to demonstrate their ability at acquiring new information and skills. Previous projects include topics from both pure and applied mathematics such as:

Number Theory Problems, Maximal Likelihood method in Statistics, Use of Linear Programing to solve a business management problem, etc.

The role of our graduate students: Our math graduate students will meet with the students in small groups two hours per week during the discussion section and lab meeting. Then they will meet with the students individually to help them with homework problems, correct their mathematical writing, and guide them through their projects.