Just received this request for a donation to Williams:

Dear Diana,

Did you know that Williams provides a book grant to cover all required texts and course materials for students receiving financial aid?

Prior to 2010, financial aid students would queue up before dawn with the hopes of borrowing textbooks from the 1914 Library. For decades, the 1914 provided financial aid students access to textbooks without having to purchase them outright. […] All of that changed in the spring of 2010: no more standing in line, no more choosing courses or majors based on the availability of textbooks. Since 2010, the Alumni Fund has made it possible for the college to help purchase approximately $7.5 million in textbooks for financial aid students. […]

Perhaps you’d like your Alumni Fund gift to buy the books for students taking “MATH 150: Multivariable Calculus” this semester. (You can read more about the course here.)

Thank you so much for all you do for Williams!

Lisa Russell-Mina ‘79
Co-Chair, Alumni Fund


  • It’s 2018, and 50% of Williams students (so, about 1000 per year) receive financial aid. By my calculations, that means Williams is spending about $1000 per student per year on textbooks. Wow! That seems like a lot.
  • I appreciate their suggestion to check out Math 150, since I was the one teaching it three semesters ago. In fact, I wrote my own materials and printed them out for the students for free. I wish more people would do the same.
  • Knowing that my hundred dollars might go towards half of a $200 textbook actually makes me less likely to send a hundred dollars to Williams. Financial aid, wholeheartedly yes! Textbooks, hard no.

Some problems I wrote about Mount Greylock, the Mountain Day T-shirt, Cricket Creek farm, and the Williams Outing Club are below the break. The whole textbook is here.

A problem about the gradient vector and level curves, which also builds insights toward the method of Lagrange Multipliers:


A problem to build understanding of the multivariable Chain Rule:


An applied problem about (finite) geometric series:


A problem about optimizing a function under a constraint:

Solutions welcome! :)

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