One of the things you can learn from the 4th picture on "Mental Math" is the following:
Most people know how to multiply a one digit number by 11: 5 x 11 = 55. How about a 2 digit number: 24 x 11 = 264. The first and last digits come from 24 and the middle digit is their sum! If the sum of the two digits is more than 9, then carry the one to the hundreds digit: 57 x 11 = 627. Give it a try! What is 34 x 11? What is 73 x 11?
Ponder the possibilities of time travel. Apply number theory to crunch through codes. Explore the structure of Hilbert space. Study abroad in Budapest or Scotland. Engage in research projects with faculty...
Consider the opportunities that the study of mathematics has provided recent majors who have pursued careers as analysts with consulting firms, as actuaries, as financial analysts in the banking and finance arenas, as teachers, and as software developers; other majors have pursued advanced degrees in mathematics, computer science, economics, engineering, law, and medicine.
During their four years at W&L, mathematics majors learn to "walk and talk" in such fundamental areas of mathematics as single and multi-variable calculus, linear algebra, modern abstract algebra, real and complex analysis, ordinary and partial differential equations, geometry, topology, mathematical statistics, graph theory, and numerical analysis. By "walking and talking" we mean that our goal is for our students to be not only technically sound, but also conversant in mathematics. Each year, several of our majors participate in summer research, either here at W&L or at other universities. Since 1990, our students have written four software packages, developed five websites, published seven expository papers, and authored or co-authored twelve articles appearing in prestigious professional journals such as the American Mathematical Monthly, Linear Algebra and its Applications, and the Transactions of the American Mathematical Society.
Just like most history majors don't become historians, most math majors don't become professional mathematicians. So what can they do?