Table of Contents
Maths Survival Guide
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Courses

  1. Linear Algebra
  2. Multivariable Calculus
  3. Differential Equations
  4. Miscellaneous Topics

Miscellaneous Topics

  1. Vectors
    1. Fundamentals
    2. $\vec{a} \cdot \vec{b}$  Dot Product
    3. $\vec{a} \times \vec{b}$  Cross Product
    4. Normal $\vec{n}$ to Plane
  2. Coordinate Systems
    1. Polar $(r,\theta)$

Additional Resources

  1. WolframAlpha Examples
  2. Direction Field Plotter by Ariel Barton
  3. Phase Plane Plotter by Ariel Barton


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How to Study with this Website | youtube icon Video

This website is for university level mathematics courses taken by most STEM students, from a first course in calculus to differential equations. The website organizes all the individual topics and YouTube videos so they are easy to navigate.

Navigable Table of Contents

Topics can be found in the Table of Contents on the left organized in a typical order for that course. When you hover over links to pages, the text will become underlined.

Individual Pages for each Topic

These pages have a very high level description of a topic, but their real purpose is to provide links for all the videos and playlists on YouTube.

Stability of Equilibria page

Examples and Solutions as Playlists on YouTube

The page for a topic will have written a explanation of the concept, but most of the content is examples and video solutions hosted on YouTube. The videos are in the format of watching a private tutor complete a homework problem by handwriting in front of you.

youtube playlist

Chalkboard Lectures

If you prefer the traditional lecture format (or you missed a lecture), topics are covered in lectures at the chalkboard with tens of lectures for an entire course.

chalkboard youtube lecture

What is different about this website from all the existing online resources?

There are some high quality resources on the internet, which include lectures, recorded videos of pencil and paper solutions, and free textbooks, but the materials can be inconsistent and incomplete, so students have trouble finding them. Even worse, many of the resources are plain wrong, which students often can't distinguish. The worst quote I ever got from a student describing a paid subscription website with solutions to the problems in their textbook was, "For every problem, there's usually at least five contributed solutions, and usually, at least one of them is right." Suffice to say, things could be better.

I wanted to remedy this. Also, not only do I have a good understanding of mathematics, I'm a good teacher. I created this website for students with poor high school maths teachers, or working while in college, or needing to review a prerequisite course, or sick during lectures, or whatever, to succeed, and these common maths courses won't be the insurmountable obstacle to their STEM studies.