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 you utilizing Zoom, he...

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 more clear than eve...

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

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

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

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

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

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

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

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

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 conditions are 0. Befor...

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

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

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

At first glance, there seems to be a lot going on in a two-phase diagram. There are temperatures, percentages, different elements, and symbols you’re not use...

First thing to address is what is D.C. Steady State. Basically, all that means is that the circuit has been active/running for a long time. For power dissi...

Overview When going through introductory chemistry courses, a common problem that you will run into is your professor asking for either empirical or molecula...

A lot of people seem to freak out when they see an i in math or j in electrical engineering. So hopefully this will help. The first thing we want to go over...