Nathan’s MAT 130 Archived Resources

Below are a bunch of resources that I think are helpful for MAT 130 students. If you have any questions come to an SI session or leave a comment below. You can also upload any of your helpful resources in the comment section!

My Session Schedule, Spring 2016

[box]Tuesdays 6-7pm, Richardson Library 105

Thursdays 2-3pm, Richardson Library 111

Office Hour – Fridays 2:30-3:30pm, Richardson Library 105[/box]

Can’t attend any of my sessions? Check out other MAT 130 SI leaders’ schedules here.

About Me

My name is Nathan Schafer. I am a sophomore at DePaul; I study mathematical sciences. For my concentration, I chose applied and computational math. I have two siblings and a dog; he is not the best dog in the world and he doesn’t have the best name either, but he is still my dog. I am from Chicago. I do not plan on going to graduate school. In my off time, I restore vintage cars, log flight time in small-engine airplanes, and spend time with my family. My favorite books are The Brothers Karamazov by Fyodor Dostoyevsky and The Illiad by Homer.


Look at photos. I find visuals to be particularly helpful when approaching a math problem. Even something as simple as looking at a graph can be useful.

Go to office hours. See your professor, come to my sessions, come to office hours. We have those times so that you can have better success in the course; take advantage of the resources that the university has provided to you!

If you enjoy math or you enjoy this class, consider joining the math club. There’s usually food…

Do the corrections; your professor allows you to correct the quizzes for partial credit. Take advantage of any points that are given to you. If you don’t do corrections, you are leaving points on the table.

Finally, put away your phone. Seriously. Put it away in class, put it away while you do your homework. You can’t use it on the tests and it does not help you. For one, it’s a distraction; additionally, your problem solving skills will go into atrophy if you spend all your time Googling answers. There is research to support this.



Here is a study resource I have found for you all; it is important to review these relationships and come to a memorization with them, so that you can approach seemingly difficult problems and simplify them. Please take some time to look over these equations.

Finding the Domain of Composite Functions

I have created a list of four steps to help you find the domains of composite functions. Follow along with me!

Let’s say you have function f(g(x)), which might also look like: (f o g)(x). Notice that g(x) is within f(x) as the variable.

  1. Find the domain of the inside function, g(x).
  2. Find the domain of the outside function, f(x).
  3. Set the domain of the outside function equal to the inside function (i.e. domain f(x)=g(x)). Solve the equation.
  4. Exclude 1 and 3.

In this way, you can quickly find the excluded values in the domains of composite functions. This is a useful technique and I encourage all of you to try it!

Logarithmic Functions

Hello everyone. Here you will find a useful resources to help understand the relationship between logs and exponents: