# BONG LIAN 连文豪

## Course Description

Linear algebra may be thought of as the study of linear equations, like the familiar equation x + y + z = 1. But the subject permeates other ends of the mathematical world including topology, geometry, analysis, not to mention algebra itself! As a tool, it's power can also be felt throughout mathematical sciences at large, reaching the deepest corners of physics, biology, economics, and countless other fields. All fancy stuff.

We, however, will go all the way back to the very beginning instead, and ask very basic questions. What are

As for pre-requisite or background for this course, Mathcampers are not expected to have had any prior advanced training in mathematics, but good working knowledge of high school algebra – equations in one or two variables, real numbers – some familiarity with calculus and complex numbers, plus a bit curiosity would give them a great start in this course!

Homework problems will be assigned in class almost daily during the lecture, and they will be graded and returned to students on a regular basis. One or more research projects will be announced during the first week of Mathcamp. Mathcampers will be meeting and working with two Coaches in this course, in addition to the Lecturer. The Coaches will be meeting with Mathcampers everyday, to work with them on their homework assignments and their research projects. Mathcampers are also very much encouraged to work with each other.