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When Can You Call Yourself a Mathematician?

Uncategorized / By Lance Johnson

One of the strangest questions I have asked myself as I have studied mathematics is “When can I call myself a mathematician?”. There does not seem to be a satisfactory answer. It is perhaps ironic that in a field renowned for the rigor of its definitions, basic terms like “mathematician”, “mathematical maturity”, and even “math” …

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The Most Difficult Part of a Math Course

Uncategorized / By Lance Johnson

The most difficult part of a math class is the beginning. The reason for this is that the challenges faced at the beginning of a class are more difficult to solve than those at the end of the course. Towards the middle and end of a course, the focus is mostly on completing assignments and …

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Basic Proofs, Sets, and Logic Curriculum for Self-Study

1 Comment / Uncategorized / By Lance Johnson

In order to really dive into higher or advanced mathematics it is essential to have a solid foundation in how to read and write proofs. This foundation is normally built up in a course called “Introduction to Proofs” or something similar and is an important rite of passage for any person studying mathematics. Prior to …

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Getting Back to Writing

Uncategorized / By Lance Johnson

Wow, what a year! I hope everyone reading this is doing well and taking care of themselves. All things considered, I do not have much to complain about other than being stuck inside since March due to the pandemic. Despite a rough semester, I finished strong thanks in no small part to the excellent professors …

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Attending the Joint Mathematics Meetings in Denver, Colorado

Uncategorized / By Lance Johnson

I’m so excited because tomorrow is the first day of a the JMM or Joint Mathematics Meetings, which is apparently the largest annual gathering of mathematicians in the world. It is also my first time at a real math conference. The sheer size and scope of the event is mind-boggling. There are hundreds upon hundreds …

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The End of My First Semester

Uncategorized / By Lance Johnson

My first semester studying mathematics at a university has officially come to a close, and I would like to take a moment to reflect upon the journey. While this was neither my first time at university nor my first time studying math, it was my first time doing both at the same time. I took …

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Why You Should (Or Should Not) Self-Study Mathematics

1 Comment / Uncategorized / By Lance Johnson

Mathematics is a fascinating field and a valuable addition to anyone’s arsenal of skills. However, not everyone is able or willing to pursue a formal course of study in math. Perhaps doing so would be too expensive, or too time consuming, or perhaps they are already studying something else in school. Or possibly they are …

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How to Choose a Math Book for Self Study

Uncategorized / By Lance Johnson

Choosing a good book to learn from can be the difference between a great learning experience and a terrible one. If you are not enrolled in a formal course then finding an appropriate book to learn from can often fall fully on your shoulders. Even if you are fortunate to be in a course and …

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I Must Be Crazy: I’m Starting a Blog

2 Comments / Uncategorized / By Lance Johnson

Exactly one year ago, I stumbled my way into mathematics. It had been three years since my last math class, calculus 2, and to call me rusty would have been an understatement. I’m not exactly sure what motivated me to want to learn math again. Perhaps I was starting to see how math could improve …

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