Paul's Online Math Notes
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Cheat Sheets & Tables
Algebra, Trigonometry and Calculus cheat sheets and a variety of tables.
Class Notes
Each class has notes available. Most of the classes have practice problems with solutions available on the practice problems pages. Also most classes have assignment problems for instructors to assign for homework (answers/solutions to the assignment problems are not given or available on the site).
Algebra
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Notes
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Practice Problems
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Assignment Problems
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Calculus I
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Calculus II
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Calculus III
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Practice Problems
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Assignment Problems
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Differential Equations
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Notes
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Extras
Here are some extras topics that I have on the site that do not really rise to the level of full class notes.
Algebra/Trig Review
Common Math Errors
Complex Number Primer
How To Study Math
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Current Location : Calculus III (Assignment Problems) / Partial Derivatives / Limits
Calculus III
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3-Dimensional Space
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The 3-D Coordinate System
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Equations of Lines
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Equations of Planes
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Quadric Surfaces
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Functions of Several Variables
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Vector Functions
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Calculus with Vector Functions
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Tangent, Normal and Binormal Vectors
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Arc Length with Vector Functions
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Curvature
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Velocity and Acceleration
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Cylindrical Coordinates
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Spherical Coordinates
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Partial Derivatives
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Limits
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Partial Derivatives
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Interpretations of Partial Derivatives
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Higher Order Partial Derivatives
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Differentials
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Chain Rule
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Directional Derivatives
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Applications of Partial Derivatives
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Tangent Planes and Linear Approximations
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Gradient Vector, Tangent Planes and Normal Lines
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Relative Minimums and Maximums
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Absolute Minimums and Maximums
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Lagrange Multipliers
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Multiple Integrals
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Double Integrals
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Iterated Integrals
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Double Integrals over General Regions
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Double Integrals in Polar Coordinates
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Triple Integrals
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Triple Integrals in Cylindrical Coordinates
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Triple Integrals in Spherical Coordinates
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Change of Variables
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Surface Area
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Area and Volume Revisited
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Line Integrals
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Vector Fields
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Line Integrals - Part I
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Line Integrals - Part II
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Line Integrals of Vector Fields
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Fundamental Theorem for Line Integrals
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Conservative Vector Fields
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Green`s Theorem
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Curl and Divergence
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Surface Integrals
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Parametric Surfaces
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Surface Integrals
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Surface Integrals of Vector Fields
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Stokes` Theorem
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Divergence Theorem
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If you know exactly which file you'd like to download or you want a file different from any listed below you can go directly to the
Download Page
to get it.
Calculus III
- Complete book download links
Notes
File Size : 2.45 MB Last Updated : Monday September 4, 2017
Practice Problems
File Size : 383 KB Last Updated : Monday September 4, 2017
Practice Problems Solutions
File Size : 3.23 MB Last Updated : Monday September 4, 2017
Assignment Problems
File Size : 492 KB Last Updated : Monday June 13, 2016
Partial Derivatives
- Complete chapter download links
Notes
File Size : 467 KB Last Updated : Tuesday February 9, 2016
Practice Problems
File Size : 142 KB Last Updated : Thursday September 25, 2014
Practice Problems Solutions
File Size : 330 KB Last Updated : Tuesday February 9, 2016
Assignment Problems
File Size : 154 KB Last Updated : Monday June 13, 2016
Limits
- Complete section download links
Notes
File Size : 153 KB Last Updated : Tuesday February 14, 2012
Practice Problems
File Size : 55 KB Last Updated : Thursday September 25, 2014
Practice Problems Solutions
File Size : 69 KB Last Updated : Thursday September 25, 2014
Assignment Problems
File Size : 57 KB Last Updated : Thursday September 25, 2014
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Short Answer :
No.
Long Answer :
No.
Long Answer with Explanation :
I'm not trying to be a jerk with the previous two answers but the answer really is "No". Here's why.
My first priority is always to help the students who have paid to be in one of my classes here at Lamar University (that is my job after all!). I also have quite a few duties in my department that keep me quite busy at times. All this means that I just don't have a lot of time to be helping random folks who contact me via this website. I would love to be able to help everyone but the reality is that I just don't have the time. So, because I can't help everyone who contacts me for help I don't answer any of the emails asking for help.
Also, when I first started this site I did try to help as many as I could and quickly found that for a small group of people I was becoming a free tutor and was constantly being barraged with questions and requests for help. Unfortunately there were a small number of those as well that were VERY demanding of my time and generally did not understand that I was not going to be available 24 hours/day, 7 days/week for help. I really got tired of dealing with those kinds of people and that was one of the reasons (along with simply getting busier here at Lamar) that made me decide to quit answering any email asking for help.
So, while I'd like to answer all emails for help, I can't and so I'm sorry to say that all emails requesting help will be ignored.
Where are the answers/solutions to the Assignment Problems?
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Answer/solutions to the assignment problems do not exist. Those are intended for use by instructors to assign for homework problems if they want to. Having solutions (and for many instructors even just having the answers) readily available would defeat the purpose of the problems. Please do not email asking for the solutions/answers as you won't get them from me.
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There are a variety of ways to download pdf versions of the material on the site.
From Content Page
If you are on a particular content page hover/click on the "Downloads" menu item. You will be presented with a variety of links for pdf files associated with the page you are on. Included in the links will be links for the full Chapter and E-Book of the page you are on (if applicable) as well as links for the Notes, Practice Problems, Solutions to the Practice Problems and Assignment Problems. The links for the page you are on will be
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From Download Page
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Download Page
. Links to the download page can be found in the Download Menu, the Misc Links Menu and at the bottom of each page. Once on the Download Page simply select the topic you wish to download pdfs from. This will present you with another menu in which you can select the specific page you wish to download pdfs for. Once you have made a selection from this second menu up to four links (depending on whether or not practice and assignment problems are available for that page) will show up below the second menu that you can click on to initiate the download.
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If you are using Internet Explorer in all likelihood after clicking on a link to initiate a download a gold bar will appear at the bottom of your browser window that will allow you to open the pdf file or save it.
I've found a typo in the material.
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If you have found a typo or mistake on a page them please
contact
me and let me know of the typo/mistake. Please be as specific as possible in your report. Let me know what page you are on and just what you feel the typo/mistake is. It's kind of hard to find the potential typo if all you write is "The 2 in problem 1 should be a 3" (and yes I've gotten handful of typo reports like that...).
Some of the equations are too small for me to see!
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This is a problem with some of the equations on the site unfortunately. It is especially true for some exponents and occasionally a "double prime" 2nd derivative notation will look like a "single prime". You can click on any equation to get a larger view of the equation. Clicking on the larger equation will make it go away.
If you are a mobile device (especially a phone) then the equations will appear very small. I am attempting to find a way around this but it is a function of the program that I use to convert the source documents to web pages and so I'm somewhat limited in what I can do. I am hoping they update the program in the future to address this. In the mean time you can sometimes get the pages to show larger versions of the equations if you flip your phone into landscape mode.
Another option for many of the "small" equation issues (mobile or otherwise) is to
download
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Is there any way to get a printable version of the solution to a particular Practice Problem?
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Yes. If you want a printable version of a single problem solution all you need to do is click on the "[Solution]" link next to the problem to get the solution to show up in the solution pane and then from the "Solution Pane Options" select "Printable Version" and a printable version of that solution will appear in a new tab of your browser.
Calculus III (Assignment Problems) / Partial Derivatives / Limits
[
Notes
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[
Practice Problems
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[
Assignment Problems
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Calculus III - Assignment Problems
3-Dimensional Space
Previous Chapter
Next Chapter
Applications of Partial Derivatives
Partial Derivatives (Introduction)
Previous Section
Next Section
Partial Derivatives
Limits
Evaluate each of the following limits.
1.
2.
3.
4.
5.
6.
7.
Partial Derivatives (Introduction)
Previous Section
Next Section
Partial Derivatives
3-Dimensional Space
Previous Chapter
Next Chapter
Applications of Partial Derivatives
Calculus III (Assignment Problems) / Partial Derivatives / Limits
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