# Tips

**Here are some of my tips for success in MAT 130:**

- Always attend class and take thorough notes.
- Work on practice problems after every class. Don’t be afraid to see a tutor, the professor or myself if you have questions. Circle any mistakes you make in another color ink so that you can clearly see and learn from your mistakes.
- Make friends in class and form a study group.
- Make flashcards and use them to make sure you can explain concepts from the course and have any necessary formulas, algorithms, etc. memorized.
- Always take the time to learn and understand the concepts; when you understand the concepts in math, the corresponding problems should make much more sense.
- Attend SI sessions!

Check out this picture to help visualize the “function as a machine” idea:

Take a look at the picture below that helps you visual how composite functions work:

Check out these examples of inverse functions! Remember that a function and its inverse are symmetric over the line y=x.

Check out this nice summary of the rules of exponents and examples below:

Are you confused about the formulas we use for financial models, or have trouble figuring out which numbers represent which variables? Check out the below pictures:

Remember that the principal is the amount of money we have now while A is the amount we’ll have in the future (after t years!). Also keep mind that we may be given r as a percentage and we need it to be in decimal form when we use the formula. Another common mistake I see students make with these formulas is that they think “e” is a variable – remember that e is a constant number like pi!

# Videos and Handouts

Monday’s worksheet

Tuesday’s worksheet

Still having some trouble graphing piece-wise functions? Take a look at this video:

Want a quick (and fun!) review on how to solve equations involving exponential expressions? Watch this video: