Mathematics Guides

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

Exam Tips & Test Strategies: Practical Study Techniques

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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 Guide: How to Learn Abstract Algebra Step by Step

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Self-studying abstract algebra requires only precalculus-level math and basic familiarity with mathematical proofs. A practical path runs from proof-writing…
selfstudyanalysis

Self-Study Analysis: Metric Spaces, Measure Theory & More

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Direct answer: After finishing analysis on real numbers and n-dimensional real space, the recommended path for self-study is Carothers' Real Analysis for…
linearalgebra_selfstudy

Learn Linear Algebra: Best Textbooks and Study Roadmap

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What Is the Best Way to Learn Linear Algebra? The most effective path through linear algebra emphasizes vector spaces and linear transformations rather…
mathresources

Top High School College-Prep Math Options & Resources

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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

University Math for High Schoolers: Where to Start

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High school students who want a taste of university-level mathematics before they graduate can start now with subjects like abstract algebra, linear algebra,…
geometry1

Pure Geometry Study Guide: Books & Roadmap for Students

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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: A Proof-to-Manifolds Roadmap

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Direct answer: To self-study real analysis from a calculus background, follow this sequence: complete a proof-writing book (Velleman's How to Prove It…
studymath2

How to Self-Study Calculus: Topics and Book Guide

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To self-study calculus, work through four core areas in order: differentiation, integration, sequences and series, then multivariable calculus. Each builds…
matlab errors

5 Common MATLAB Error Messages and How to Fix Them

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MATLAB error messages like "Inner matrix dimensions must agree" or "Index exceeds matrix dimensions" almost always trace back to five common mistakes:…