Math Guides

Here contains all the expertly written math guides. These guides are non-technical articles that usually help in how to study mathematics at all levels. From self study to classroom strategy, learn something new today!

Infinitesimals

What Are Infinitesimals – Simple Version

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Introduction When I learned calculus, the intuitive idea of infinitesimal was used. These are real numbers so small that, for all practical purposes (say…
10mathtips

10 Math Tips to Save Time and Avoid Mistakes

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25 Comments
Exam situations are always situations of stress. It comes with our endeavor to be as good as possible and our fear of failure. Some students handle these…
selfstudy

Abstract Algebra Self-Study Roadmap: Groups to Galois

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There are three major areas of mathematics: geometry, analysis, and algebra. This insight gives a roadmap for learning basic abstract algebra for self-study,…
selfstudyanalysis

Advanced Analysis Study Guide: Measure & Functional

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If you wish to follow this guide, you should be familiar with analysis on ##\mathbb{R}## and ##\mathbb{R}^n##. See my previous insight for the list of…
linearalgebra_selfstudy

Linear Algebra Roadmap: Books & Resources for Students

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This article gives a roadmap for students to learn the basics of linear algebra. Aside from calculus, linear algebra is one of the most applicable subjects…
mathresources

Resources for High School Math at Home

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The popularity of homeschooling and failures of the public schools often present the need for parents to teach or supplement college preparatory math courses…
highschoolmath

College-Level Math Options for High School Students

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This insight is written for high school students who don't feel very challenged by their high school courses or who want a taste of what university mathematics…
geometry1

Pure Geometry Study Guide: Books & Roadmap for Students

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Introduction to Pure Geometry Geometry is one of the oldest parts of mathematics. It has been studied and advanced by the greatest minds humankind has…
mathanalysis1

Road Map for Self-Studying Mathematical Analysis Guide

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This is a sequel to my posts on self-studying mathematics. I have already given a very detailed road map on how to study high school mathematics and calculus.…
studymath2

How to Self-Study Calculus: Topics, Order & Book Guide

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We often get questions here from people self-studying mathematics. One common question is: "What mathematics should I study and in what order?" To…
matlab errors

5 Common MATLAB Error Messages and How to Fix Them

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In this Insight, I'll go over 5 common MATLAB error messages, what they mean, and how to fix them. Hopefully, after reading this post you'll find yourself…