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2015 CBS Interactive Inc.
Smart Math Calculator aims that can help users perform complex mathematical equations having a deep report on functions. Thanks to its simple interface and helpful features, the program has the ability that can help even individuals who are not natural mathematicians.
This programs interface is for certain to overwhelm individuals who have never used a scientific calculator before it possesses a full variety of equations and function buttons, but need to look normal to prospects who have calculated equations using similar physical models previously. While this course looks and operates such as a traditional calculator, its interface shines which has a Help file that doesn't only discusses each keys function, but provides basic tutorials on variables, expressions, and procedures. Inputting calculations became simple plus more intuitive compared to a physical calculator. By typing numbers employing your keyboard and selecting calculations utilizing the mouse, this program automatically provides answer, eliminating the step of clicking the equal key. In addition to its quick calculations, this course provides helpful features such as a library of equations and processes. In addition, scrolling our mouse above the various function keys showcased a smaller window that detailed what this key does and also an example of the way we could utilize it, that is a big boost for newcomers.
Thanks to its in excess of helpful features and usability, this free program offers excellent replacement for expensive physical calculators. This is usually a great download for almost any budding mathematician.
Easy-to-use math calculator that immediately computes the end result as you type a math expression. It allows to calculate multiple math expressions while doing so. It also allows defining your variables and processes that may be set to some value and other math expressions. It carries a beautiful user-interface that conveniently means that you can directly edit the expression or if that suits you use the visual key pad to go into new expressions. There is support more than 20 math functions.
In Version 2.2, it is possible to type equation and this program will automatically solve for unknowns.
If you do not have Java attached to your PC, the calculator wont run.
Can not test, theres not any Java on my small PC.
Not only it calculates fast though the user-interface means that you can type expressions rapidly and see the effect instantly.
More built-in functions will be nice, although you are able to define your functions which can be good.
Excellent editors review and good users reviews. Free.
Not clear user interface and unclear limits of calculations.
I have tried this calculator for sinx, coshx, atanhx, lnx. For x1 sinx returned about 50 digits. It signifies that the author somewhat uses high precision arithmetic. But coshx returned only 16 digits. Atanhx returned n/a. For x 1E4 lnx was calculated a couple of seconds, coshx returned n/a. For x1E40 lnx entered a protracted loop. After 10 min of waiting I closed the calculator.
Probably suitable for basic college students. Definitely not great for engineering and science.
Reply by runiter on July 12, 2010
Thank you due to this comment. Indeed when confronted with high precision computations we should instead choose a solution that's well balanced between speed and precision. Our calculator started with 16 digit limit for all those calculations and were progressively advancing toward making all available functions computable to 1000 digits and beyond within fraction of your second. We estimate that most functions is going to be high precision by next version 3.2 and speed will probably be improved by version 3.4.
More than lives approximately the CNET editors review plus the publishers description. The programs features proved over adequate for just a college-level calculus course. Unlike the calculator added with Windows, the interface is clearly visible.
If it features a simple, one-step clear button I havent thought it was.
I think it is convenient to the sort of calculation by which one changes one variable frequently while keeping others constant. One could perform the same thing within a spreadsheet, but sometimes a spreadsheet is over one needs.
I probably havent tried almost all of the features. I dont want to invest time to learn things until I employ a need. This is really a con only from the sense who's would take a moment working with this to actually use it efficiently.
I have a tendency to use this as an alternative to any with the several more conventional calculators I have in this little computer. It saves me a few keystrokes; every little counts.
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In Version 2.2, you'll be able to type equation and this system will automatically solve for unknowns.
Perform calculations, graph functions, and plot list data.
Perform more than the usual hundred scientific functions.
View your real-time physical position on moving Google Map.
Evaluate mathematical equations, generate graphs from
View satellite pictures, maps, terrain, buildings and
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Analyze, solve, and plot various mathematical equations.
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Fast, Precise, and Convenient for all those your daily calculations
Smart Math Calculator can be a convenient calculator which make it incredibly easy to complete all your calculations area. It incorporates a beautiful user-interface which is specifically designed to scale back the amount of time necessary to pop up the calculator, type a manifestation and get the end result. It even automatically saves your calculations and so you'll be able to continue through the last session whenever you start the calculator. You can utilize this calculation for uncomplicated everyday calculations, and for advanced high precision computations.
Arbitrary bases binary, oct, hex, etc.
2015 CBS Interactive Inc.
The Installer securely delivers software from s servers on your computer. During this process, the Installer may offer other free applications supplied by our partners. All offers are optional: You are not necessary to install any other applications to take delivery of the software you selected. Learn more
From Academy-info: Free Calculator. You can use Calculator to perform many of the standard operations that you intend to would normally work with a handheld calculator. Calculator performs basic arithmetic, including addition and subtraction, in addition to functions situated on a scientific calculator, like logarithms. The game interface is fairly simple so if you live a beginner you'll be able to use it without trouble.
My virus protection went crazy when I attempted to install this calculator.
Works fine as being a normal calculator.
Usable only once or twice after installation after closing it dissapears nowhere located.
Not worth to pay time in installing the item. After installation and also other marketted rubbish I used it followed by time it is nowhere located. Not really worth hassle of installation
Popped up once, couldn t think it is again on computer.
After download it started and I made my calculations.
Couldnt believe it is to run again in my computer. Not in Programs menu, desktop icon, etc. Also downloaded lots of extra garbage, changed my default google search and webpage. I hate it when extra junk gets loaded on my small computer and rate it low to the.
Download if you love extra toolbars on the browser and like programs and changes which are completely unrelated to solving math problems.
no cons about the item.
can it is able to wiht math!!!
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Evaluate mathematical equations, generate graphs from
View your real-time physical position on moving Google Map.
View satellite pictures, maps, terrain, buildings and
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View, read, and convert EPub e-books.
Read King James Bible in your PC.
Collect GPS data from various GPS trackers simultaneously.
Search and browse the Quran in a variety of languages.
Get an English too Bangla dictionary.
Convert Kindle Mobi, AZW, PRC eBooks to ePUB format being
The calculator! Easy using. Y2K Compatible. Date,
Get reminders about prayer time.
Add or subtract number of days or weeks to your date.
Calculate body mass index for girls.
Learn touch typing in Hindi and English.
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Calculator Prompter is usually a math expression calculator. You can evaluate expressions
like sincostanpie3 or floor1934/332%15;
Calculator Prompter carries a built-in error recognition system that can help you get correct results. With this calculator it is possible to enter the whole expression, including brackets, and operators. Now it support functions and constants!
Calculator Prompter is really a math expression calculator. You can evaluate expressions
like sincostanpie3 or floor1934/332%15;
Calculator Prompter carries a built-in error recognition system that can help you get correct results. With this calculator you may enter the whole expression, including brackets, and operators. Now it support functions and constants!
Signing up for Video Math Teacher is simple!
What an excellent resource, the web page saved me many times this semester with difficult material and test preparation.
Video Math Teacher offers online math tutoring resources including online calculators, printable graph paper, helpful links and even more.
Click the connection below to download the virtual TI Calculator.
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Signing up for Video Math Teacher is not hard!
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For more options that come with the virtual calculator, right mouse go through the calculator itself.
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You type an equation and this also applet will draw your graph with an x, y coordinate grid. You can graph one, two, or even more equations and compare graphs
Note: When you click this link, a whole new window will open. It may take a few momemts to load - please be patient! Equations are entered with regard to x, for instance: 2x5 the asterisk would be wise to be used for multiplication. More ease typing in equations in available when the applet is running.
You enter in an equation and also this applet will draw your graph upon an x, y coordinate grid. You can graph one, two, if not more equations and compare graphs
Note: When you click this link, a whole new window will open. It may take a short while to load - please be patient! Equations are entered when it comes to x, for example: 2x5 the asterisk will most likely always be used for multiplication. More assist with typing in equations in available when the applet is running.
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If you might have a TI-84 Plus Silver Edition ti 84 plus calculator, you almost certainly have App4Math in your calculator already! Press your calculator s APPS key. Does the menu include App4Math? Then go right down to App4Math and press ENTER. Now you re prepared to Zoom!
Without App4Math, your ti 84 plus can be confusing. Fractions, exponents, and square roots don t look similar to they do inside your textbook. Variables will almost always be capitalized.
With App4Math, everything looks right! Fractions resemble real fractions. Exponents and square roots look right. Variables are lowercase.
With App4Math, you are able to quickly reprogram your answer on the form you desire. Do you wish to visit a few more decimal places of the answer? Just press the best arrow a couple of times. Do you desire to customize the answer to some fraction? Just press
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Cheat Sheets Tables Algebra, Trigonometry and Calculus cheat sheets and a selection of tables.
Class Notes Each class has notes available. Most with the classes have practice difficulties with solutions available within the practice problems pages. Also most classes have assignment damage to instructors to assign for homework answers/solutions towards the assignment troubles are not given or available within the site.
Extras Here are some extras topics that I have within the site that will not really rise to your level of full class notes.
Please make a selection on the Content menu. Once you carry out the chapters and sections if any will demonstrate up here.
If you realize exactly which file youd love to download or you need a file distinctive from any listed below you'll be able to go directly towards the Download Page to make it.
If you're making a selection in the Content menu downloads connected with your choice of content as well as the topic in this content youve navigated to can have up here.
Request Permission for Using Notes - If you might be an instructor and would like to use some from the material on this site with your classes please fill in this form.
Download Page - This will take you with a page where you'll be able to download a pdf version on the content about the site. Note that in the event you are using a specific page and even download the pdf file for your page you are able to access a download link from Downloads menu item on the left.
FAQ - A few faqs.
Links - Links to several sites that Ive run across in the years.
My Students - This is for students who will be actually choosing a class from me at Lamar University.
Site Help - A set of techniques to commonly asked questions. Note that they are identical to prospects in the Site Help menu.
Site Map - A full report on all the content for the site in addition to links towards the content.
The following number of questions/complaints relating to this site I am constantly getting emails about so I chose to put the strategies to them here inside a effort for getting them answered quicker.
If the equations are overlapping the link they are probably all shifted downwards where they should be you happen to be probably using Internet Explorer 10 or Internet Explorer 11. To fix this issue you will need to put your browser in Compatibly Mode see instructions below. Alternatively, you'll be able to view all pages in Chrome or Firefox because they should display properly within the latest versions of people browsers without any extra steps on your own part.
Look on the right side with the address bar presents itself the Internet Explorer window. You should see an icon that looks being a piece of paper torn by two. Click on this and you could have put the browser in Compatibility View for my site plus the equations should display properly.
Look to your right side edge on the Internet Explorer window. You should go to a gear icon it needs to be right below the x icon for closing Internet Explorer. Click on this to open up the Tools menu. Down towards bottom with the Tools menu you must see the option Compatibility View Settings. Select this option to start a dialog box. In the Add this amazing site box Internet Explorer should have already got filled in to suit your needs, or even fill that in. Then all you could need to perform is go through the Add button and you will have position the browser in Compatibility View for my site and also the equations should display properly.
Long Answer with Explanation: Im not trying for being a jerk with all the previous two answers even so the answer really is No. Heres why.
My first priority is always to assist the students who may have paid to get in among my classes you will come to Lamar University that's my job in fact!. I also have a number of duties during my department that keep me quite busy on occasion. All this implies that I just dont have a whole lot of time to become helping random individuals that contact me via this site. I would love to become able to aid everyone though the reality is that I just dont develop the time. So, because I cant help everyone who contacts me for help I dont answer one of the emails demanding help.
Also, when I first started this web site I did try to help you as many as I could and quickly discovered that for a tiny group of an individual I was to become free tutor and was constantly being barraged with questions and requests for help. Unfortunately there were a little number of these as well which are VERY demanding of time and generally wouldn't understand that I was not going to get available 24 hours/day, 7 days/week for help. I really got fed up with dealing with those kinds of folks and that has been one from the reasons in addition to simply getting busier right here at Lamar that forced me to be decide to quit answering any email demanding help.
So, while Id love to answer all emails for help, I cant and thus Im sorry to say that every emails requesting help will likely be ignored.
Answer/solutions to your assignment problems usually do not exist. Those are suitable for use by instructors to assign for homework problems should they want to. Having solutions as well as for many instructors less prestigiously having the answers easily obtainable would defeat the purpose from the problems. Please tend not to email asking with the solutions/answers since you wont find them from me.
There are a selection of ways to download pdf versions on the material within the site.
If you are over a particular content page hover/go through the Downloads menu item. You is going to be presented which has a variety of links for pdf files connected with the page happen to be on. Included inside links is going to be links with the full Chapter and E-Book on the page you are well on if applicable together with links with the Notes, Practice Problems, Solutions for the Practice Problems and Assignment Problems. The links to the page you might be on will probably be highlighted so you are able to easily find them.
All pdfs intended for download can be entirely on the Download Page. Links on the download page could be found inside Download Menu, the Misc Links Menu as well as the bottom of each one page. Once within the Download Page simply pick the topic you need to download pdfs from. This will make available to you another menu in which you may select the actual page you need to download pdfs for. Once you might have made an assortment from this second menu approximately four links according to whether you aren't practice and assignment complaints are available for your page can have up below the next menu that you are able to click on to initiate the download.
The Site Map Page with the site will include a link for each pdf that's available for downloading. You can access the Site Map Page from your Misc Links Menu or on the link at the end of every page.
If you happen to be using Internet Explorer likely after clicking with a link to initiate a download a gold bar will show up at the bottom of one's browser window that will enable you to spread out the pdf file or save it.
If you could have found a typo or mistake on the page them please get in touch and let me know in the typo/mistake. Please be as specific as possible with your report. Let me know what page you're on and just what we feel the typo/mistake is. Its kind of difficult to find the potential typo if whatever you write is The 2 in problem 1 should be described as a 3 company Ive gotten number of typo reports like.
This is problems with some from the equations for the site unfortunately. It is very true for some exponents and occasionally a double prime 2nd derivative notation will look such as a single prime. You can select any equation to obtain a larger view with the equation. Clicking around the larger equation can make it go away completely.
If you happen to be a mobile device especially a mobile phone then the equations look very small. I am hunting for a way with this in mind but it can be a function of this course that I use to convert the origin documents to web pages and thus Im somewhat limited of what I can do. I am hoping they update this program in the future to cope with this. In the mean time it is possible to sometimes get all pages to show larger versions in the equations in case you flip your phone into landscape mode.
Another option for most of the small equation issues mobile or otherwise not is to download the pdf versions on the pages. These often usually do not suffer through the same problems.
Is there any way for getting a printable version with the solution into a particular Practice Problem? Show Answer
Yes. If you wish a printable version of any single problem solution all that you need to try and do is go through the Solution link next to the situation to find the solution to exhibit up inside solution pane and then from your Solution Pane Options select Printable Version plus a printable version of this solution will appear within a new tab within your browser.
Welcome to my online math tutorials and notes. The intent of this web site is to supply a complete set of online for free and downloadable notes and/or tutorials for classes that I teach at Lamar University. Ive attemptedto write the notes/tutorials in such a means that they will be accessible to anyone needing to learn the subject no matter whether you are within my classes you aren't. In short, they certainly not assume youve got any prior knowledge besides the standard group of prerequisite material needed to the class. In plain english, it is assumed that you realize Algebra and Trig previous to reading the Calculus I notes, know Calculus I just before reading the Calculus II notes, etc. The assumptions about your background that Ive made are made with each description below.
Id wish to thank Fred J., Mike K. and David A. for everyone the typos that theyve found and sent my way! Ive experimented with proof read these pages and catch as numerous typos as I could, but it really just isnt possible to hook all ones when you're also the individual who wrote the fabric. Fred, Mike and David have caught numerous typos that Id missed and been nice enough for you them my way. Thanks again Fred, Mike and David!
If you are considered one of my current students and they are here searching for homework assignments Ive got a group of links which get you for the right pages listed here.
At present Ive gotten the notes/tutorials for my Algebra Math 1314, Calculus I Math 2413, Calculus II Math 2414, Calculus III Math 3435
and Differential Equations Math 3301 class online. Ive also got some Review/Extras available at the same time. Among the reviews/extras that Ive got are an Algebra/Trig review for my Calculus Students, a Complex Number primer, a group of Common Math Errors, and several tips on How to Study Math.
Ive made a lot of the pages on this website available for download at the same time. These downloadable versions come in pdf format. Each subject here is available as being a complete download and inside case of large documents Ive also split them up into smaller portions that mostly correspond to each from the individual topics. Near the top of each one page you'll see one or two download buttons based on whether the subject can be obtained as only being a complete document or perhaps is also available in pieces. You can visit a complete directory all the available downloads by deciding on the Downloads option from the menu.
Here is often a complete set of all the subjects which are currently positioned on this site and also brief descriptions of every.
Algebra Cheat Sheet - This is several common algebra facts, properties, formulas, and processes that I could consider. There is additionally a page of common algebra errors included. Currently the cheat sheet is four pages long.
Algebra Cheat Sheet Reduced - This is precisely the same cheat sheet as above except it continues to be reduced so who's will fit on top of the front and back of your single notepad. It contains each of the information that this normal sized cheat sheet does.
Trig Cheat Sheet - Here is usually a set of common trig facts, properties and formulas. A unit circle completely submitted is also included. Currently this cheat sheet is four pages long.
Trig Cheat Sheet Reduced - My standard trig cheat sheet reduced to fit into the front and back of your single sheet of foolscap. It contains all of the information how the normal sized cheat sheet does.
Calculus Cheat Sheets - These are several Calculus Cheat Sheets that covers most of your standard Calculus I course plus a few topics coming from a Calculus II course.
Common Derivatives and Integrals - Here is really a set of common derivatives and integrals that happen to be used somewhat regularly in a very Calculus I or Calculus II class. Also included are reminders on several integration techniques. Currently this cheat sheet is four pages long.
Common Derivatives and Integrals Reduced - My common derivatives and integrals table reduced to fit on the front and back of any single notepad. It contains all of the information how the normal sized table does.
Table of Laplace Transforms - Here is a report on Laplace transforms for just a differential equations class. This table gives lots of the regularly used Laplace transforms and formulas.
All in the classes, using the exception of Differential Equations, have practice difficulties with solutions you are able to use for practice and also a pair of assignment problems without solutions/answers for instructors to use should they wish.
Preliminaries - Exponent Properties, Rational Exponents, Negative Exponents, Radicals, Polynomials, Factoring, Rational Expressions, Complex Numbers
Solving Equations and Inequalities - Linear Equations, Quadratic Equations, Completing the Square, Quadratic Formula, Applications of Linear and Quadratic Equations, Reducible to Quadratic Form, Equations with Radicals, Linear Inequalities, Polynomial Rational Inequalities, Absolute Value Equations Inequalities.
Graphing and Functions - Graphing Lines, Circles, and Piecewise Functions, Function Definition, Function Notation, Function Composition, Inverse Functions.
Common Graphs - Parabolas, Ellipses, Hyperbolas, Absolute Value, Square Root, Constant Function, Rational Functions, Shifts, Reflections, Symmetry.
Polynomial Functions - Dividing Polynomials, Zeroes/Roots of Polynomials, Finding Zeroes of Polynomials, Graphing Polynomials, Partial Fractions.
Exponential and Logarithm Functions - Exponential Functions, Logarithm Functions, Solving Exponential Functions, Solving Logarithm Functions, Applications.
Systems of Equations - Substitution Method, Elimination Method, Augmented Matrix, Nonlinear Systems.
The Algebra notes/tutorial believe youve had some exposure towards the basics of Algebra. In particular it is assumed how the exponents and factoring sections will likely be more of an review in your case. Also, it is assumed that youve seen basic fundamentals of graphing equations. Graphing particular kinds of equations is roofed extensively within the notes, however, it is assumed which you understand the standard coordinate system and the best way to plot points.
Algebra/Trig Review - Trig Functions and Equations, Exponential Functions and Equations, Logarithm Functions and Equations.
Limits - Concepts, Definition, Computing, One-Sided Limits, Continuity, Limits Involving Infinity, LHospitals Rule
Derivatives - Definition, Interpretations, Derivative Formulas, Power Rule, Product Rule, Quotient Rule, Chain Rule, Higher Order Derivatives, Implicit Differentiation, Logarithmic Differentiation, Derivatives of Trig Functions, Exponential Functions, Logarithm Functions, Inverse Trig Functions, and Hyperbolic Trig Functions.
Applications of Derivatives - Related Rates, Critical Points, Minimum and Maximum Values, Increasing/Decreasing Functions, Inflection Points, Concavity, Optimization
Integration - Definition, Indefinite Integrals, Definite Integrals, Substitution Rule, Evaluating Definite Integrals, Fundamental Theorem of Calculus
Applications of Integrals - Average Function Value, Area Between Curves, Solids of Revolution, Work.
The Calculus I notes/tutorial feel that youve got a working familiarity with Algebra and Trig. There is some review of your couple of Algebra and Trig topics, but with the most part it is assumed that you simply do have a very decent background in Algebra and Trig. These notes assume no prior expertise in Calculus.
Integration Techniques - Integration by Parts, Integrals Involving Trig Functions, Trig Substitutions, Integration using Partial Fractions, Integrals Involving Roots, Integrals Involving Quadratics, Integration Strategy, Improper Integrals, Comparison Test for Improper Integrals, and Approximating Definite Integrals.
Applications of Integrals - Arc Length, Surface Area, Center of Mass/Centroid, Hydrostatic Pressure and Force, Probability.
Parametric Equations and Polar Coordinates - Parametric Equations Curves, Calculus with Parametric Equations Tangents, Areas, Arc Length and Surface Area, Polar Coordinates, Calculus with Polar Coordinates Tangents, Areas, Arc Length and Surface Area.
Sequences and Series - Sequences, Series, Convergence/Divergence of Series, Absolute Series, Integral Test, Comparison Test, Limit Comparison Test, Alternating Series Test, Ratio Test, Root Test, Estimating the Value of your Series, Power Series, Taylor Series, Binomial Series
Vectors - Basics, Magnitude, Unit Vector, Arithmetic, Dot Product, Cross Product, Projection
Three Dimensional Coordinate System - Equations of Lines, Equations of Planes, Quadratic Surfaces, Functions of Multiple Variables, Vector Functions, Limits, Derivatives, and Integrals of Vector Functions, Tangent Vectors, Normal Vectors, Binormal Vectors, Curvature, Cylindrical Coordinates, Spherical Coordinates
The Calculus II notes/tutorial think that youve got a functional knowledge Calculus I, including Limits, Derivatives, and Integration nearly basic substitution. It is additionally assumed that you've got a fairly good information about Trig. Several topics rely heavily on trig and understanding of trig functions.
Three Dimensional Coordinate System - Equations of Lines, Equations of Planes, Quadratic Surfaces, Functions of Multiple Variables, Vector Functions, Limits, Derivatives, and Integrals of Vector Functions, Tangent Vectors, Normal Vectors, Binormal Vectors, Curvature, Cylindrical Coordinates, Spherical Coordinates
Partial Derivatives - Limits, Partial Derivatives, Higher Order Partial Derivatives, Differentials, Chain Rule, Directional Derivatives, Gradient.
Applications of Partial Derivatives - Tangent Plane, Normal Line, Relative Extrema, Absolute Extrema, Optimization, Lagrange Multipliers.
Multiple Integrals - Iterated Integrals, Double Integrals, Double Integrals in Polar Coordinates, Triple Integrals, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates, Change of Variables, Surface Area.
Line Integrals - Vector Fields, Line Integrals With Respect to Arc Length, Line Integrals With Respect to x and y, Line Integrals of Vector Fields, Fundamental Theorem of Line Integrals, Conservative Vector Fields, Potential Functions, Greens Theorem, Curl, Divergence.
Surface Integrals - Parametric Surfaces, Surface Integrals, Surface Integrals of Vector Fields, Stokes Theorem, Divergence Theorem.
The Calculus III notes/tutorial believe that youve got a practical knowledge Calculus I, including limits, derivatives and integration. It also assumes which the reader carries a good expertise in several Calculus II topics including some integration techniques, parametric equations, vectors, and understanding of three dimensional space.
Systems of Equations and Matrices - Systems of Equations, Row-Echelon Form, Reduced Row-Echelon Form, Gaussian Elimination, Gauss-Jordan Elimination, Matrices, Matrix Arithmetic, Transpose, Inverse Matrices, LU-Decompositions.
Determinants - The Determinant Function, Properties of Determinants, Method of Cofactors, Determinants by Row Reduction, Cramers Rule.
Euclidean n - space - Vectors, Vector Arithmetic, Norm, Dot Product, Cross Product, Projections, Euclidean n - space, Linear Transformations.
Vector Spaces - Vector Space Axioms, Examples of Vector Spaces, Subspaces, Span, Linear Independence, Linear Dependence, Basis, Dimension, Null Space, Row Space, Column Space, Inner Product Spaces, Orthogonal/Orthonormal Basis, Least Squares, QR - Decomposition, Orthogonal Matrices
Eigenvalues and Eigenvectors - Review of Determinants, Eigenvalues and Eigenvectors, Diagonalization.
The Linear Algebra notes assume that you might be comfortable with all the basic workings of Algebra and outside of these dont really require any special understanding of mathematics.
First Order Differential Equations - Linear Equations, Separable Equations, Exact Equations, Equilibrium Solutions, Modeling Problems.
Second Order Differential Equations - Homogeneous and Nonhomogeneous Second Order Differential Equations, Fundamental Set of Solutions, Undetermined Coefficients, Variation of Parameters, Mechanical Vibrations
Laplace Transforms - Definition, Inverse Transforms, Step Functions, Heaviside Functions, Dirac-Delta Function, Solving IVPs, Nonhomogeneous IVP, Nonconstant Coefficient IVP, Convolution Integral.
Systems of Differential Equations - Matrix Form, Eigenvalues/Eigenvectors, Phase Plane, Nonhomogeneous Systems, Laplace Transforms.
Series Solutions - Series Solutions, Euler Differential Equations.
order differential equations, Undetermined Coefficients, Variation of Parameters, 3 x 3 Systems of Differential Equations.
Boundary Value Problems Fourier Series - Boundary Value Problems, Eigenvalues and Eigenfunctions, Orthogonal Functions, Fourier Sine Series, Fourier Cosine Series, Fourier Series.
Partial Differential Equations - Heat Equation, Wave Equation, Laplaces Equation, Separation of Variables.
These notes assume no prior understanding of differential equations. A good grasp of Calculus becomes necessary however. This includes a working information about differentiation and integration.
Algebra/Trig Review - This is an Algebra Review and Trig Review which was originally written for my Calculus I students. It nevertheless geared mostly towards Calculus students with occasional comments how a topic will probably be used within a Calculus class. However, anyone needing an appraisal of some with the basic algebra, trig, exponential functions and logarithms should get the information beneficial.
Not each of the topics covered within an Algebra or Trig class are covered within this review. Ive mostly covered topics which might be of particular importance to students inside a Calculus class. I have included some topics which are not that important with a Calculus class, but students do have trouble with occasionally. As time permits I are going to be adding more sections at the same time.
The review is from the form of any problem set with all the first solution containing details on the way to work that sort of problem. Later solutions are often not as detailed, but might have more/new information as required.
Complex Number Primer - This is usually a brief breakdown of some from the basic ideas included in Complex Numbers. The topics covered undoubtedly are a brief overview of arithmetic with complex numbers, the complex conjugate, modulus, polar and exponential form and computing powers and roots of complex numbers.
Note until this primer does believe youve at the very least seen some complex numbers previous to reading. The purpose on this document is go a bit beyond what the majority of people see if the first are brought to complex numbers in say a College Algebra class. Also, this document is certainly intended to get a complete picture of complex numbers nor do I cover the many concepts involved thats an entire class all alone.
Common Math Errors - As with all the Algebra/Trig review it was originally written for my Calculus I class. However, only one from the five sections that Ive given here directly addresses the main topics Calculus. The other four sections tend to be more general errors or cover Algebra and Trig errors. There are several calculus examples within the first four sections, but also in all of these cases Ive also aimed to provide non Calculus examples at the same time.
This portion with the site ought to be of interest to anyone searching for common math errors. If you arent in the Calculus class or havent taken Calculus you need to just neglect the last section.
How To Study Math - This is usually a short section by incorporating advice on the best way to best study mathematics.
In order to take advantage of this site you'll need to have Javascript enabled. The menu system requires Javascript to use and the many pages with mathematics in it were generated using MathType and MathType uses Javascript to format the mathematics.
In simple terms, if you've got disabled Javascript you will find the web page difficult to navigate and tough to view the mathematics.
If you could have chosen to disable Javascript here can be a set of links that you are able to use to navigate through your website.
Algebra/Trig Review - This is an Algebra Trig review created for my Calculus students.
Complex Number Primer - A brief breakdown of some in the concepts from complex numbers that arent traditionally taught within a College Algebra class where most of the people are first brought to complex numbers.
Cheat Sheets Tables - Here are a list of cheat sheets and tables that Ive made intended for download.
Site Map - Here is really a complete group of links available viewing around the site.
Cheat Sheets Tables Algebra, Trigonometry and Calculus cheat sheets and a number of tables.
Class Notes Each class has notes available. Most with the classes have practice difficulty with solutions available around the practice problems pages. Also most classes have assignment difficulties for instructors to assign for homework answers/solutions for the assignment troubles are not given or available within the site.
Extras Here are some extras topics that I have about the site that won't really rise for the level of full class notes.
Please make a selection through the Content menu. Once you perform the chapters and sections if any can have up here.
If you realize exactly which file youd love to download or you desire a file completely different from any listed below you'll be able to go directly on the Download Page to be.
If you create a selection in the Content menu downloads connected with your choice of content along with the topic in this content youve navigated to can have up here.
Request Permission for Using Notes - If you're an instructor as well as use some in the material on this site inside your classes please submit this form.
Download Page - This will take you to some page where you are able to download a pdf version in the content for the site. Note that when you are on the specific page and wish to download the pdf file for your page you'll be able to access a download link completely from Downloads menu item on the left.
FAQ - A few faq's.
Links - Links to varied sites that Ive run across within the years.
My Students - This is for students who will be actually choosing a class from me at Lamar University.
Site Help - A set of techniques to commonly asked questions. Note that these are generally identical to people in the Site Help menu.
Site Map - A full directory of all the content about the site along with links to your content.
The following set of questions/complaints concerning this site I am constantly getting emails about so I chose to put the techniques to them here within a effort to obtain them answered quicker.
If the equations are overlapping the written text they are probably all shifted downwards in which they should be you happen to be probably using Internet Explorer 10 or Internet Explorer 11. To fix this issue you will need to put your browser in Compatibly Mode see instructions below. Alternatively, you'll be able to view all pages in Chrome or Firefox when they should display properly inside the latest versions of the browsers without any other steps on your own part.
Look for the right side in the address bar towards the top of the Internet Explorer window. You should see an icon that looks as being a piece of paper torn by two. Click on this and you could have put the browser in Compatibility View for my site and also the equations should display properly.
Look on the right side edge from the Internet Explorer window. You should go to a gear icon it needs to be right below the x icon for closing Internet Explorer. Click on this to start the Tools menu. Down towards bottom with the Tools menu you ought to see the option Compatibility View Settings. Select this option to look at a dialog box. In the Add this amazing site box Internet Explorer should currently have filled in to suit your needs, or else fill that in. Then all that you need to accomplish is select the Add button and you will have position the browser in Compatibility View for my site along with the equations should display properly.
Long Answer with Explanation: Im not trying to become a jerk using the previous two answers even so the answer really is No. Heres why.
My first priority is always to help you the students who may have paid to become in among my classes right here at Lamar University that is certainly my job in fact!. I also have numerous duties during my department that keep me quite busy sometimes. All this signifies that I just dont have a good deal of time to become helping random people that contact me via this excellent website. I would love being able to aid everyone though the reality is that I just dont develop the time. So, because I cant help everyone who contacts me for help I dont answer many of the emails requesting help.
Also, when I first started this great site I did try to help you as many as I could and quickly discovered that for a little group of individuals I was to become free tutor and was constantly being barraged with questions and requests for help. Unfortunately there were a little number of people as well which are VERY demanding of my own time and generally would not understand that I was not going to get available 24 hours/day, 7 days/week for help. I really got sick and tired of dealing with those kinds of an individual and that's one in the reasons in addition to simply getting busier right here at Lamar that helped me decide to quit answering any email getting help.
So, while Id want to answer all emails for help, I cant so Im sorry to say that emails requesting help are going to be ignored.
Answer/solutions to your assignment problems tend not to exist. Those are created for use by instructors to assign for homework problems whenever they want to. Having solutions as well as many instructors simply having the answers easily available would defeat the purpose with the problems. Please usually do not email asking to the solutions/answers while you wont find them from me.
There are a assortment of ways to download pdf versions from the material about the site.
If you are using a particular content page hover/go through the Downloads menu item. You will probably be presented using a variety of links for pdf files related to the page you're on. Included from the links will likely be links for that full Chapter and E-Book from the page you're on if applicable together with links with the Notes, Practice Problems, Solutions to your Practice Problems and Assignment Problems. The links for that page you happen to be on are going to be highlighted so you'll be able to easily find them.
All pdfs designed for download can be entirely on the Download Page. Links on the download page could be found inside the Download Menu, the Misc Links Menu as well as the bottom of each one page. Once within the Download Page simply find the topic you would like to download pdfs from. This will give you another menu in which you may select the actual page you need to download pdfs for. Once you've got made a variety from this second menu as much as four links based on whether or otherwise practice and assignment troubles are available for your page can have up below your second menu that you may click on to initiate the download.
The Site Map Page for your site will include a link for any pdf that's available for downloading. You can access the Site Map Page from your Misc Links Menu or from your link in the bottom of every page.
If that you are using Internet Explorer in all probability after clicking over a link to initiate a download a gold bar will show up at the bottom within your browser window that will you to open up the pdf file or save it.
If you've found a typo or mistake over a page them please check out my website and let me know with the typo/mistake. Please be as specific as possible inside your report. Let me know what page happen to be on and just what we feel the typo/mistake is. Its kind of difficult to get the potential typo if all you could write is The 2 in problem 1 should be considered a 3 e-mail Ive gotten few typo reports like.
This is problems with some on the equations for the site unfortunately. It is extremely true for some exponents and occasionally a double prime 2nd derivative notation will look being a single prime. You can click any equation to have a larger view on the equation. Clicking within the larger equation can certainly make it disappear.
If you happen to be a mobile device especially a mobile phone then the equations can look very small. I am looking for a way with this but it is often a function of this system that I use to convert the origin documents to web pages so Im somewhat limited as to what I can do. I am hoping they update this software in the future to deal with this. In the mean time you may sometimes get all pages to show larger versions in the equations when you flip your phone into landscape mode.
Another option for most of the small equation issues mobile or elsewhere is to download the pdf versions from the pages. These often don't suffer on the same problems.
Is there any way to acquire a printable version in the solution to your particular Practice Problem? Show Answer
Yes. If you desire a printable version of your single problem solution all that you need to try and do is go through the Solution link next to the situation to find the solution to indicate up inside the solution pane and then in the Solution Pane Options select Printable Version along with a printable version of their solution will appear inside a new tab of one's browser.
Welcome to my online math tutorials and notes. The intent of this website is to supply a complete set of online for free and downloadable notes and/or tutorials for classes that I teach at Lamar University. Ive aimed to write the notes/tutorials in such the best way that they ought to be accessible to anyone planning to learn the subject no matter if you are around my classes or otherwise. In plain english, they are doing not assume youve got any prior knowledge in addition to the standard group of prerequisite material needed with the class. In plain english, it is assumed that you understand Algebra and Trig just before reading the Calculus I notes, know Calculus I previous to reading the Calculus II notes, etc. The assumptions about your background that Ive made are shown with each description below.
Id love to thank Fred J., Mike K. and David A. for all those the typos that theyve found and sent my way! Ive attempted to proof read these pages and catch as much typos as I could, but it really just isnt possible to trap all of which when you happen to be also the individual who wrote the pad. Fred, Mike and David have caught many typos that Id missed and been nice enough to send out them my way. Thanks again Fred, Mike and David!
If you are one among my current students and therefore are here seeking homework assignments Ive got a list of links which get you to your right pages listed here.
At present Ive gotten the notes/tutorials for my Algebra Math 1314, Calculus I Math 2413, Calculus II Math 2414, Calculus III Math 3435
and Differential Equations Math 3301 class online. Ive also got a number of Review/Extras available also. Among the reviews/extras that Ive got are an Algebra/Trig review for my Calculus Students, a Complex Number primer, a pair of Common Math Errors, and many tips on How to Study Math.
Ive made a lot of the pages on this web site available for download too. These downloadable versions will be in pdf format. Each subject on this internet site is available to be a complete download and within the case of substantial documents Ive also split them up into smaller portions that mostly correspond to each on the individual topics. Near the top of every page you will notice one or two download buttons determined by whether the subject is accessible as only as being a complete document or possibly also available in pieces. You can go to a complete set of all the available downloads by choosing Downloads option from the menu.
Here is often a complete directory of all the subjects which can be currently positioned on this site together with brief descriptions of each and every.
Algebra Cheat Sheet - This is numerous common algebra facts, properties, formulas, and processes that I could think about. There is additionally a page of common algebra errors included. Currently the cheat sheet is four pages long.
Algebra Cheat Sheet Reduced - This is a similar cheat sheet as above except it may be reduced so which it will fit to the front and back of any single sheet of paper. It contains the many information how the normal sized cheat sheet does.
Trig Cheat Sheet - Here is really a set of common trig facts, properties and formulas. A unit circle completely filled in is also included. Currently this cheat sheet is four pages long.
Trig Cheat Sheet Reduced - My standard trig cheat sheet reduced to fit on the front and back of an single sheet of paper. It contains the many information how the normal sized cheat sheet does.
Calculus Cheat Sheets - These are a few Calculus Cheat Sheets that covers most of the standard Calculus I course as well as a few topics from the Calculus II course.
Common Derivatives and Integrals - Here is really a set of common derivatives and integrals which can be used somewhat regularly in a very Calculus I or Calculus II class. Also included are reminders on several integration techniques. Currently this cheat sheet is four pages long.
Common Derivatives and Integrals Reduced - My common derivatives and integrals table reduced to fit into the front and back of an single sheet of foolscap. It contains the many information the normal sized table does.
Table of Laplace Transforms - Here is a report on Laplace transforms for any differential equations class. This table gives the majority of the popular Laplace transforms and formulas.
All in the classes, using the exception of Differential Equations, have practice issues with solutions it is possible to use for practice and also a list of assignment problems without solutions/answers for instructors to use should they wish.
Preliminaries - Exponent Properties, Rational Exponents, Negative Exponents, Radicals, Polynomials, Factoring, Rational Expressions, Complex Numbers
Solving Equations and Inequalities - Linear Equations, Quadratic Equations, Completing the Square, Quadratic Formula, Applications of Linear and Quadratic Equations, Reducible to Quadratic Form, Equations with Radicals, Linear Inequalities, Polynomial Rational Inequalities, Absolute Value Equations Inequalities.
Graphing and Functions - Graphing Lines, Circles, and Piecewise Functions, Function Definition, Function Notation, Function Composition, Inverse Functions.
Common Graphs - Parabolas, Ellipses, Hyperbolas, Absolute Value, Square Root, Constant Function, Rational Functions, Shifts, Reflections, Symmetry.
Polynomial Functions - Dividing Polynomials, Zeroes/Roots of Polynomials, Finding Zeroes of Polynomials, Graphing Polynomials, Partial Fractions.
Exponential and Logarithm Functions - Exponential Functions, Logarithm Functions, Solving Exponential Functions, Solving Logarithm Functions, Applications.
Systems of Equations - Substitution Method, Elimination Method, Augmented Matrix, Nonlinear Systems.
The Algebra notes/tutorial believe youve had some exposure on the basics of Algebra. In particular it is assumed that this exponents and factoring sections will probably be more of the review for you personally. Also, it is assumed that youve seen the basic principles of graphing equations. Graphing particular sorts of equations is protected extensively inside notes, however, it is assumed which you understand the essential coordinate system and the way to plot points.
Algebra/Trig Review - Trig Functions and Equations, Exponential Functions and Equations, Logarithm Functions and Equations.
Limits - Concepts, Definition, Computing, One-Sided Limits, Continuity, Limits Involving Infinity, LHospitals Rule
Derivatives - Definition, Interpretations, Derivative Formulas, Power Rule, Product Rule, Quotient Rule, Chain Rule, Higher Order Derivatives, Implicit Differentiation, Logarithmic Differentiation, Derivatives of Trig Functions, Exponential Functions, Logarithm Functions, Inverse Trig Functions, and Hyperbolic Trig Functions.
Applications of Derivatives - Related Rates, Critical Points, Minimum and Maximum Values, Increasing/Decreasing Functions, Inflection Points, Concavity, Optimization
Integration - Definition, Indefinite Integrals, Definite Integrals, Substitution Rule, Evaluating Definite Integrals, Fundamental Theorem of Calculus
Applications of Integrals - Average Function Value, Area Between Curves, Solids of Revolution, Work.
The Calculus I notes/tutorial think that youve got a working understanding of Algebra and Trig. There is some review of any couple of Algebra and Trig topics, but for that most part it is assumed you do have a very decent background in Algebra and Trig. These notes assume no prior information about Calculus.
Integration Techniques - Integration by Parts, Integrals Involving Trig Functions, Trig Substitutions, Integration using Partial Fractions, Integrals Involving Roots, Integrals Involving Quadratics, Integration Strategy, Improper Integrals, Comparison Test for Improper Integrals, and Approximating Definite Integrals.
Applications of Integrals - Arc Length, Surface Area, Center of Mass/Centroid, Hydrostatic Pressure and Force, Probability.
Parametric Equations and Polar Coordinates - Parametric Equations Curves, Calculus with Parametric Equations Tangents, Areas, Arc Length and Surface Area, Polar Coordinates, Calculus with Polar Coordinates Tangents, Areas, Arc Length and Surface Area.
Sequences and Series - Sequences, Series, Convergence/Divergence of Series, Absolute Series, Integral Test, Comparison Test, Limit Comparison Test, Alternating Series Test, Ratio Test, Root Test, Estimating the Value of your Series, Power Series, Taylor Series, Binomial Series
Vectors - Basics, Magnitude, Unit Vector, Arithmetic, Dot Product, Cross Product, Projection
Three Dimensional Coordinate System - Equations of Lines, Equations of Planes, Quadratic Surfaces, Functions of Multiple Variables, Vector Functions, Limits, Derivatives, and Integrals of Vector Functions, Tangent Vectors, Normal Vectors, Binormal Vectors, Curvature, Cylindrical Coordinates, Spherical Coordinates
The Calculus II notes/tutorial believe youve got an effective knowledge Calculus I, including Limits, Derivatives, and Integration as much as basic substitution. It can also be assumed that you've got a fairly good expertise in Trig. Several topics rely heavily on trig and information about trig functions.
Three Dimensional Coordinate System - Equations of Lines, Equations of Planes, Quadratic Surfaces, Functions of Multiple Variables, Vector Functions, Limits, Derivatives, and Integrals of Vector Functions, Tangent Vectors, Normal Vectors, Binormal Vectors, Curvature, Cylindrical Coordinates, Spherical Coordinates
Partial Derivatives - Limits, Partial Derivatives, Higher Order Partial Derivatives, Differentials, Chain Rule, Directional Derivatives, Gradient.
Applications of Partial Derivatives - Tangent Plane, Normal Line, Relative Extrema, Absolute Extrema, Optimization, Lagrange Multipliers.
Multiple Integrals - Iterated Integrals, Double Integrals, Double Integrals in Polar Coordinates, Triple Integrals, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates, Change of Variables, Surface Area.
Line Integrals - Vector Fields, Line Integrals With Respect to Arc Length, Line Integrals With Respect to x and y, Line Integrals of Vector Fields, Fundamental Theorem of Line Integrals, Conservative Vector Fields, Potential Functions, Greens Theorem, Curl, Divergence.
Surface Integrals - Parametric Surfaces, Surface Integrals, Surface Integrals of Vector Fields, Stokes Theorem, Divergence Theorem.
The Calculus III notes/tutorial feel that youve got a functional knowledge Calculus I, including limits, derivatives and integration. It also assumes how the reader carries a good information about several Calculus II topics including some integration techniques, parametric equations, vectors, and expertise in three dimensional space.
Systems of Equations and Matrices - Systems of Equations, Row-Echelon Form, Reduced Row-Echelon Form, Gaussian Elimination, Gauss-Jordan Elimination, Matrices, Matrix Arithmetic, Transpose, Inverse Matrices, LU-Decompositions.
Determinants - The Determinant Function, Properties of Determinants, Method of Cofactors, Determinants by Row Reduction, Cramers Rule.
Euclidean n - space - Vectors, Vector Arithmetic, Norm, Dot Product, Cross Product, Projections, Euclidean n - space, Linear Transformations.
Vector Spaces - Vector Space Axioms, Examples of Vector Spaces, Subspaces, Span, Linear Independence, Linear Dependence, Basis, Dimension, Null Space, Row Space, Column Space, Inner Product Spaces, Orthogonal/Orthonormal Basis, Least Squares, QR - Decomposition, Orthogonal Matrices
Eigenvalues and Eigenvectors - Review of Determinants, Eigenvalues and Eigenvectors, Diagonalization.
The Linear Algebra notes assume that you happen to be comfortable while using basic workings of Algebra and outside of these dont really require any special information about mathematics.
First Order Differential Equations - Linear Equations, Separable Equations, Exact Equations, Equilibrium Solutions, Modeling Problems.
Second Order Differential Equations - Homogeneous and Nonhomogeneous Second Order Differential Equations, Fundamental Set of Solutions, Undetermined Coefficients, Variation of Parameters, Mechanical Vibrations
Laplace Transforms - Definition, Inverse Transforms, Step Functions, Heaviside Functions, Dirac-Delta Function, Solving IVPs, Nonhomogeneous IVP, Nonconstant Coefficient IVP, Convolution Integral.
Systems of Differential Equations - Matrix Form, Eigenvalues/Eigenvectors, Phase Plane, Nonhomogeneous Systems, Laplace Transforms.
Series Solutions - Series Solutions, Euler Differential Equations.
order differential equations, Undetermined Coefficients, Variation of Parameters, 3 x 3 Systems of Differential Equations.
Boundary Value Problems Fourier Series - Boundary Value Problems, Eigenvalues and Eigenfunctions, Orthogonal Functions, Fourier Sine Series, Fourier Cosine Series, Fourier Series.
Partial Differential Equations - Heat Equation, Wave Equation, Laplaces Equation, Separation of Variables.
These notes assume no prior expertise in differential equations. A good grasp of Calculus becomes necessary however. This includes a working understanding of differentiation and integration.
Algebra/Trig Review - This is an Algebra Review and Trig Review that had been originally written for my Calculus I students. It still it geared mostly towards Calculus students with occasional comments on what a topic is going to be used within a Calculus class. However, anyone needing an overview of some from the basic algebra, trig, exponential functions and logarithms should get the information useful.
Not the many topics covered in a Algebra or Trig class are covered within this review. Ive mostly covered topics that happen to be of particular importance to students inside a Calculus class. I have included some topics which might be not that important to your Calculus class, but students do appear to have trouble with once in a while. As time permits I will likely be adding more sections at the same time.
The review is inside the form of an problem set using the first solution containing details on the way to work that sort of problem. Later solutions are generally not as detailed, but might have more/new information as required.
Complex Number Primer - This is really a brief summary of some with the basic ideas included in Complex Numbers. The topics covered can be a brief writeup on arithmetic with complex numbers, the complex conjugate, modulus, polar and exponential form and computing powers and roots of complex numbers.
Note that it primer does think that youve at the least seen some complex numbers just before reading. The purpose on this document is go a bit beyond what a lot of people see if the first are unveiled in complex numbers in say a College Algebra class. Also, this document is definitely intended to get a complete picture of complex numbers nor do I cover all of the concepts involved thats an entirely class all alone.
Common Math Errors - As together with the Algebra/Trig review it was originally written for my Calculus I class. However, only one in the five sections that Ive given here directly addresses the main topics Calculus. The other four sections tend to be more general errors or cover Algebra and Trig errors. There are a number of calculus examples inside the first four sections, in all of these cases Ive also experimented with provide non Calculus examples at the same time.
This portion in the site ought to be of interest to anyone seeking common math errors. If you arent within a Calculus class or havent taken Calculus it is best to just overlook the last section.
How To Study Math - This is really a short section by incorporating advice on how you can best study mathematics.
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Algebra Math 1314 - This is usually a complete number of notes for my Calculus I class.
Calculus I Math 2413 - This is usually a complete group of notes for my Calculus I class.
Calculus II Math 2414 - This is often a complete pair of notes for my Calculus II class.
Calculus III Math 3435 - This can be a complete group of notes for my Calculus III class.
Differential Equations Math 3401 - This is really a complete list of notes for my Differential Equations class.
Algebra/Trig Review - This is an Algebra Trig review created for my Calculus students.
Complex Number Primer - A brief review of some with the concepts from complex numbers that arent traditionally taught in a very College Algebra class where the majority of people are first shown complex numbers.
Common Math Errors - This can be a set of common math errors that students make.
How to Study Math - Here are some tips on tips on how to study mathematics.
Site Map - Here is usually a complete pair of links available viewing within the site.
Find Math Games, Word Games, and Logic Puzzles by Grade Level
Find Math Games, Word Games, and Logic Puzzles by Grade Level