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

/
5 Comments
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

Exam Tips & Test Strategies: Practical Study Techniques

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

Self-Study Roadmap: Abstract Algebra, Groups to Galois

/
4 Comments
Overview Roadmap There are three major areas of mathematics: geometry, analysis, and algebra. This insight gives a roadmap for learning basic abstract…
selfstudyanalysis

Advanced Real Analysis: Measure & Functional Study Plan

/
14 Comments
Prerequisites 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…
linearalgebra_selfstudy

Linear Algebra Roadmap: Prereqs, Books & Topics Guide

/
11 Comments
Overview 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…
mathresources

Top High School College-Prep Math Options & Resources

/
13 Comments
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

/
21 Comments
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

/
3 Comments
Introduction to Pure Geometry Why study pure geometry? Geometry is one of the oldest parts of mathematics. It has been studied and advanced by the greatest…
mathanalysis1

Self-Study Analysis Roadmap: From Proofs to Manifolds

/
26 Comments
Introduction 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…
studymath2

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

/
26 Comments
Click For Complete SeriesHow to Study Mathematics How to Self-Study Basic High School Mathematics How to Self-Study CalculusWe often get questions…
matlab errors

5 Common MATLAB Error Messages and How to Fix Them

/
4 Comments
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…