When considering the “social gatherings” most vulnerable to COVID-19, it is hard to leave higher education off of the list. And given the...

One of the most popular resources being used to educate during the COVID-19 pandemic is Zoom, a free mobile and desktop app for video and...

The mission of a learning center revolves around the student—how can we improve access to services, quality of teaching from tutors, and ...

These last two weeks, we’ve had the chance to speak with many learning centers about their plans to move tutoring online. For those of yo...

If you manage a campus tutoring or learning center, these four tactics can help raise awareness among students.

A lot of change has come my way these last few weeks, and the importance of understanding, accepting, and responding to change quickly is...

Pretty much every science teacher/professor I’ve ever had told me the same thing about science education: “Everything I tell my students ...

Voltage Voltage from a point particle: Voltage from an electric field: * The only distance Δd that matters is the distance that is parall...

Penji has students from every major serving as tutors. What follows is a constantly evolving document: the ten most popular tips given by...

Thevenin and Norton Equivalent circuits are most often used to simplify a circuit.  They are useful when you are interested about the beh...

Calculate the output of this system given that the input signal and the system’s impulse response are: One thing that should be addressed...

Substitution reactions may seem like a difficult concept to understand. However, as long as you follow these guidelines, you will be succ...

It’s Quiz Time! Close your notes, clear your desks, and answer the following question: What does the following graph depict? A friend of...

Overview Matrices are a way of grouping numbers, and are organized into rows and columns. Matrices are often used as a way of representin...

Assume Vs(t) is equal to 3u(t). Find v(t) as a function of time and find the capacitances of the two capacitors. Assume all initial con...

Quick recap of Force Problems Write down knowns + unknowns Draw a picture Choose a coordinate system + Usually x is horizontal, y is vert...

Gauss’s Law is a useful tool for solving electrostatics problems. Instead of computing hard nasty integrals, we can use Gauss’s Law to si...

A buffer, by definition, is a solution that resists change in pH. In a buffered solution, adding acid will only result in a small decreas...

At first glance, there seems to be a lot going on in a two-phase diagram. There are temperatures, percentages, different elements, and sy...