MATH 75

Below are details provided by the math tutors on each of these topics!

Functions

 Forgot how to find the inverse of absolute values, here's a refresher!

Shared by Tania, math tutor 04/26/2017

Domain/Range

Trouble remembering when a function is continuous or not, here's a link with the explanation of all three conditions a point needs to meet to be on a continuous function.

Shared by Tania, math tutor 04/26/2017

Quick review on how to solve inequalities (for domain)

When you evaluate the domain of a function, we are finding all of the possible x values that give us an output. For example if a value of x makes the denominator equal to zero, that value of x will not be in the domain. Similarly if a value of x makes the expression under a radical negative, it will not be in the domain. That is, the expression under the radical must be greater than or equal to 0. Here is a quick youtube video to remind you how to solve inequalities.


Limits

Derivatives

Extrema

Here is a great source for how to find local maxima and minima values using the second derivative test.

https://www.mathsisfun.com/calculus/maxima-minima.html 

Here are some practice problems to try sometimes before your exam and bring them into the LC to verify them!

Shared by Tania, math tutor 04/26/2017

Here is an additional source for determining concavity.

https://www.mathsisfun.com/calculus/concave-up-down-convex.html 

Optimization

Norman Window

This is a very common optimization problem that encompasses many of the ideas used in all optimization problems. This video very clearly lays out the formulas and concepts needed to solve this problem. When solving these problems, a key strategy is to have your equation in terms of one variable. That is because at this point you only know how to derive an equation with respect to one variable. See how in the video, the presenter gets his equations into terms of  the width x.


Find the length required to get the largest...what? Stuck on a long optimization word problem? Follow this link for step to step instructions!

Shared by math tutor Tania Kaur, 04/16/19

Related Rates


Related Rates WS.pdf

Anti-derivatives

Integrals


Helpful Resources

If you prefer to read through instructions:

If you think you missed a step while doing your homework:


If you like watching video tutorials:

Calculus I Review

Come work on this review or get it checked at the Math Table! We have a detailed explanation for every answer available for reference. This is a great resource to prepare for your final.

Maram_Feb20 Calculus I.pdf

Here's a great playlist by The Organic Chemistry Tutor on everything that has to do with calculus. 

For your finals, I suggest his Calculus reviews.

You may also want to take a look at his Basic Integration playlist where he does some of the most common integrals.