Separation of variables can be a powerful technique for solving many of the partial differential equations that arise in physics contexts. Upper-division physics students encounter this technique in multiple topical areas including electrostatics and quantum mechanics. To better understand the difficulties students encounter when utilizing the…

With the tuition cost of traditional colleges and universities soaring and education technology advancing, online courses and degree programs are becoming more common. Some critics argue that an online degree cannot provide all the important features of a traditional college education, from extracurricular activities to new professional networks,…