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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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Calculus I
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Calculus II
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Calculus III
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Practice Problems
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Differential Equations
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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 I (Practice Problems) / Extras / Proofs of Derivative Applications Facts
Calculus I
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Review
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Review : Functions
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Review : Inverse Functions
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Review : Trig Functions
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Review : Solving Trig Equations
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Review : Trig Equations with Calculators, Part I
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Review : Trig Equations with Calculators, Part II
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Review : Exponential Functions
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Review : Logarithm Functions
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Review : Exponential and Logarithm Equations
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Review : Common Graphs
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Limits
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Tangent Lines and Rates of Change
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The Limit
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One-Sided Limits
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Limit Properties
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Computing Limits
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Infinite Limits
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Limits At Infinity, Part I
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Limits At Infinity, Part II
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Continuity
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The Definition of the Limit
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Derivatives
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The Definition of the Derivative
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Interpretation of the Derivative
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Differentiation Formulas
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Product and Quotient Rule
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Derivatives of Trig Functions
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Derivatives of Exponential and Logarithm Functions
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Derivatives of Inverse Trig Functions
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Derivatives of Hyperbolic Trig Functions
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Chain Rule
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Implicit Differentiation
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Related Rates
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Higher Order Derivatives
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Logarithmic Differentiation
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Applications of Derivatives
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Rates of Change
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Critical Points
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Minimum and Maximum Values
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Finding Absolute Extrema
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The Shape of a Graph, Part I
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The Shape of a Graph, Part II
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The Mean Value Theorem
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Optimization
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More Optimization Problems
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L`Hospital`s Rule and Indeterminate Forms
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Linear Approximations
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Differentials
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Newton`s Method
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Business Applications
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Integrals
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Indefinite Integrals
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Computing Indefinite Integrals
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Substitution Rule for Indefinite Integrals
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More Substitution Rule
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Area Problem
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Definition of the Definite Integral
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Computing Definite Integrals
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Substitution Rule for Definite Integrals
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Applications of Integrals
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Average Function Value
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Area Between Curves
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Volumes of Solids of Revolution / Method of Rings
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Volumes of Solids of Revolution/Method of Cylinder
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More Volume Problems
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Work
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Extras
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Proof of Various Limit Properties
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Proof of Various Derivative Properties
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Proof of Trig Limits
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Proofs of Derivative Applications Facts
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Proof of Various Integral Properties
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Area and Volume Formulas
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Types of Infinity
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Summation Notation
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Constant of Integration
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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 I
- Complete book download links
Notes
File Size : 3.96 MB Last Updated : Wednesday August 30, 2017
Practice Problems
File Size : 572 KB Last Updated : Monday December 5, 2016
Practice Problems Solutions
File Size : 4.9 MB Last Updated : Monday January 23, 2017
Assignment Problems
File Size : 888 KB Last Updated : Monday June 6, 2016
Extras
- Complete chapter download links
Notes
File Size : 571 KB Last Updated : Saturday July 22, 2017
Proofs of Derivative Applications Facts
- Complete section download links
Notes
File Size : 142 KB Last Updated : Tuesday April 29, 2008
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Short Answer :
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Long Answer :
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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.
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If you have found a typo or mistake on a page them please
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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.
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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 I (Practice Problems) / Extras / Proofs of Derivative Applications Facts
[
Notes
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Calculus I - Practice Problems
Applications of Integrals
Previous Chapter
Proof of Trig Limits
Previous Section
Next Section
Proof of Various Integral Properties
Proof of Derivative Applications Facts
This section has no problems written yet.
Proof of Trig Limits
Previous Section
Next Section
Proof of Various Integral Properties
Applications of Integrals
Previous Chapter
Calculus I (Practice Problems) / Extras / Proofs of Derivative Applications Facts
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