Paul’s online math notes and cheat sheets act as a helping resource for mathematics students. Paul has prepared these cheat sheets and notes for teaching Mathematics at Lamar University but they are equally helpful for online learning.
These cheat sheets and notes are famous helpful tools for learning calculation, derivations, and various other topics.
All of them are easily accessible online for all and cover topics like Algebra, Calculus, pattern, measurement, trigonometry, advanced, etc. Pauls online math notes offer a good insight into popular mathematics topics. Also, these cheat sheets make learning easy and effective through step-by-step illustrations.
The collection of cheat sheets and notes of mathematics is available in two types of documents, a full-size version as well as a reduced version. For making downloading and printing more convenient, full-sized matter is shrunk into reduced size. One page of the reduced version comprises information presented in two pages of the full-size.
Most of them are available in the form of PDF files, you can view them through Adobe Viewer. All the cheat sheets are available in downloadable and printable format as well and you can access them without an internet connection.
Paul’s Cheat Sheets
1. Algebra Cheat Sheets
Algebra is the branch of mathematics that deals with generalized arithmetic operations.
Paul’s Algebra cheat sheets help in understanding common algebra facts, formulas, properties, and functions. It also contains a page of common algebraic errors. To start learning with these cheat sheets only basic mathematical knowledge is needed.
Have a look of both full-sized version and reduced version algebra cheat sheets here:
2. Trig Cheat Sheets
These cheat sheets facilitate the learning of trigonometry. Its facts, properties, and formulas commonly deal with angle and distance measurements. It contains cheat sheets of a unit circle for illustration. Basic knowledge and understanding concepts is a prerequisite for learning trigonometry through these cheat sheets.
Here you can download trig cheat sheets in both full and reduced version:
3. Calculus Cheat Sheets
Calculus or Infinitesimal Calculus is the study of continuous change in mathematics. Paul’s calculus cheat sheets cover calculus l courses but also touch calculus II course content.
Here four types of cheat sheets are available. The first type of cheat sheet covers all theoretical information, the second contains Limits information, the next one deals with only derivatives information and the last one incorporates integrals information only.
These cheat sheets are available in both full-size and in download friendly reduced version.
4. Common Derivatives and Integrals.
For learning common derivatives and integrals of calculus l, it is assumed that you have enough prior knowledge of Algebra and trigonometry. For learning calculus ll, it is assumed that you are well-versed in calculus l.
These Paul’s cheat sheets help in learning calculus I and calculus II. They work exactly the same way online that used for teaching in regular classes. Paul also demonstrates several integral techniques and tactics through these cheat sheets for a better understanding of students. These cheat sheets are available in both full size and reduced version.
You can download or print them as per your choice.
5. Table of Laplace Transforms
Laplace transform is a sort of tool or technique that helps in solving integral and differential equations. It converts these equations into algebraic equations.
Paul has prepared a table that contains Laplace transforms and formulas which are commonly used in solving equations and derivations. Currently, it is two pages of unique cheat sheets.
The first contains a table of Laplace transforms and the other one carries an explanation or additional information about the entries. This table of Laplace Transforms is available in the full-size version.
Pauls Online Math Notes
For studying Algebra, it is assumed that students are already exposed to basic Algebraic concepts. These notes are well organized and helpful in learning Algebra.
These Algebra notes are ready to impart detailed knowledge by covering topics like Preliminaries, Solving Equations and Inequalities, Graphing and Functions, Common Graphs, Polynomial Functions, Exponential and Logarithmic Functions, and Systems of Equations. They also contain many sub-topics to provide more in-depth knowledge.
Check out below for the list for course content:
2. Calculus I
Paul has written these notes to disseminate knowledge of Calculus I. It is assumed that for learning Calculus, you have enough knowledge and understanding of algebra, trig, and other concepts. Calculus notes incorporate many areas in detail like Limits, Derivatives, integrals, Equations, and Applications.
3. Calculus II
Teaching-learning of Calculus II course is based on Calculus I course content. These notes make you more proficient in calculus and also make you aware of various techniques and applications of integration.
They also include topics like parametric equations, vectors, and three-dimensional space. These notes are helpful resources to learn or to brush up your calculus understanding and various other related concepts.
4. Calculus III
These notes take your calculus knowledge ahead. It is assumed that students have enough knowledge of Calculus 1 topics such as limits, derivatives, and integrals and are well aware of Calculus II course contents like integration techniques and applications, parametric equations, vectors, and three-dimensional space.
Calculus 3 notes discuss Calculus II topics in detail for better uphold of Calculus knowledge.
5. Differential Equations
These notes contain all possible information needed for learning algebra and calculus. They deal with topics like Basic Concepts, First Order Differential Equations, Second Order Differential Equations, High Order Differential Equations, and Laplace Transforms. There are a lot more topics in connection to Differential Equations which are discussed in detail in these notes too.
Paul has not only prepared cheat sheets and notes but also assignments and practice materials. These cheat sheets and notes are prepared for classroom teaching of Math at Lamar University.
These are equally beneficial and easily accessible to all for online learning too. Paul’s Online Notes and Cheat Sheets are useful as well as helpful online resources for learning Mathematics and related concepts.
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