# Micromass' Insights on how to self-study mathematics

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• micromass
In summary, the conversation focuses on tips and strategies for self-studying various areas of mathematics, including basic high school mathematics, calculus, analysis, geometry, and algebra. The insights provided offer valuable advice for those looking to improve their self-studying techniques and resources. There is also mention of an online math community on Discord that may be helpful for those currently self-studying. Additionally, there is a suggestion for someone to write an insight on probability and statistics.

#### micromass

Staff Emeritus
Homework Helper
How to self-study mathematics
https://www.physicsforums.com/insights/how-to-study-mathematics/

How to self-study basic high school mathematics
https://www.physicsforums.com/insights/self-study-basic-high-school-mathematics/

How to self-study calculus
https://www.physicsforums.com/insights/self-study-calculus/

How to self-study analysis. Part I: Intro analysis
https://www.physicsforums.com/insights/self-study-analysis-part-intro-analysis/

How to self-study analysis. Part II: Intermediate analysis
https://www.physicsforums.com/insights/self-study-analysis-part-ii-intermediate-analysis/

How to self-study geometry. Part I: Pure geometry
https://www.physicsforums.com/insights/self-study-geometry-part-pure-geometry/

How to self-study algebra. Part I: Linear algebra
https://www.physicsforums.com/insights/self-study-algebra-linear-algebra/

How to self-study algebra. Part II: Abstract algebra
To appear soon.

Last edited:
JD_PM, SolarisOne, YoungPhysicist and 10 others
These insights are really worth reading for anybody who is self studying, thanks. I got a lot tips and tricks which I can apply.

I heard from another user that you run an online math community on discord. As I'm self-studying math right now, I would be very interested in joining. Would you be so kind as to send me an invite?

Someone should write an insight for probability and statistics too. I am not sure if it is covered in any of the above areas. I have begun the proof book for intro to analysis.

## 1. How can self-studying mathematics benefit me?

Self-studying mathematics can greatly improve critical thinking, problem-solving, and analytical skills. It can also boost confidence and increase understanding and retention of mathematical concepts.

## 2. What resources are recommended for self-studying mathematics?

There are many resources available for self-studying mathematics, including textbooks, online courses, video tutorials, and practice problems. It is important to choose resources that align with your learning style and goals.

## 3. How can I stay motivated while self-studying mathematics?

Setting achievable goals, taking breaks, and finding a study group or accountability partner can help with motivation. It is also important to remind yourself of the benefits of self-studying mathematics and celebrate your progress.

## 4. How can I effectively manage my time while self-studying mathematics?

Creating a study schedule, prioritizing topics, and breaking up study sessions into smaller chunks can help with time management. It is also important to eliminate distractions and focus on one topic at a time.

## 5. How can I track my progress while self-studying mathematics?

It can be helpful to keep a journal or log of the topics and problems you have covered, as well as any questions or areas for improvement. Additionally, regularly testing yourself with practice problems or quizzes can help track progress and identify areas that need more focus.