Math Monthly Podcast

The Difference Between Taking Physics in College and Actually Understanding It

Welcome to Professor Jonathan D. Tullis. Explore the difference between completing physics coursework and developing an understanding of the concepts, mathematical reasoning, assumptions, and applications behind the equations.

Join the research group at https://mathmonthly.com and explore membership options for live sessions, recordings, monthly PDFs, and mailed journals.

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Math Monthly Research Recap | Matrix Exponentials, Picard Iteration, and Maple

Welcome to Professor Jonathan D. Tullis. This recap reviews our Math Monthly research group session using Volume II of Gustafson’s Differential Equations and Linear Algebra, covering systems of differential equations, matrix exponentials, Picard iteration, and Jordan form.

We discuss navigating the textbook’s definitions and theorems, exploring Maple code through an AI simulation, and identifying a matrix-inverse error. The session emphasizes careful reasoning, writing formulas explicitly, and verifying results through the “full circle of math.”

Members can continue the discussion online, share their work, and help complete the verification.

Join the research group at https://mathmonthly.com and explore membership options for live sessions, recordings, monthly PDFs, and mailed journals.

Reference:

Gustafson, G. B. (n.d.). Differential equations and linear algebra: A course for science and engineering (Vols. I–II). University of Utah.

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Adults Returning to College | Learning Math and Physics with Math Monthly

Welcome to Author Jonathan David. Returning to college as an adult? Discover my approach to textbook study, clear mathematical solutions, and verifying answers through the “full circle of math.”

Learn how Math Monthly combines live group sessions across algebra, calculus, linear algebra, differential equations, and physics with a monthly journal documenting our work. I also discuss plans for collaborative research and acknowledging members’ contributions.

Become a member at https://mathmonthly.com to join live Zoom sessions for Q&A, guidance, and participation. Session times vary, with email notifications provided. Explore membership options for digital access, PDFs, and physical journals.

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This is a public episode. If you'd like to discuss this with other subscribers or get access to bonus episodes, visit https://authorjond.substack.com/subscribe

Adults Returning to College Are the Future of STEM

Welcome to Author Jonathan David. Drawing on my experiences as an adult student and longtime private tutor, I discuss why I’m shifting my focus toward adults returning to college and adults interested in learning mathematics and physics.

Topics include persistence, independent study, textbook reading, and approaching a demanding STEM education with experience and purpose.

Become a member at https://mathmonthly.com to join live Zoom sessions for Q&A, guidance, and research discussions. Explore membership options for digital access and monthly PDF or physical journals.

Shop my books and bundles: https://payhip.com/authorjond

Support my work with a donation:

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This is a public episode. If you'd like to discuss this with other subscribers or get access to bonus episodes, visit https://authorjond.substack.com/subscribe

How to Learn Math as an Adult | Math Monthly with Jonathan David

Welcome to Author Jonathan David. Discover my approach to learning mathematics as an adult: start with algebra fundamentals, read methodically, develop reusable problem-solving methods, and verify your results through the “full circle of math.”

Learn how Math Monthly combines live group sessions, independent practice, research discussions, and a monthly journal documenting the work. Bring questions about your own understanding and progress as you explore mathematics at your own pace.

Become a member at https://mathmonthly.com to join live Zoom sessions for Q&A and guidance. Explore PDF and physical journal membership options. Session times vary, and recordings are available for members.

Shop my books and bundles: https://payhip.com/authorjond

Support my work with a donation:

Venmo: https://venmo.com/authorjondt

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This is a public episode. If you'd like to discuss this with other subscribers or get access to bonus episodes, visit https://authorjond.substack.com/subscribe

Welcome to Author Jonathan David. Explore mathematics and physics education related to engineering, with discussions on study methods, mathematical reasoning, professional communication, and preparing for college and career opportunities.

Explore memberships at https://authorjond.com for educational lessons, podcasts, fiction, and cooking shows. Join live Zoom sessions for Q&A, guidance, and discussions about studying mathematics and physics.

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This is a public episode. If you'd like to discuss this with other subscribers or get access to bonus episodes, visit https://authorjond.substack.com/subscribe

The Difference Between Mathematical Theory and the Application of Mathematics

Welcome to Math Monthly. Jonathan David discusses the distinction between developing mathematical theory and applying mathematics to practical problems, emphasizing assumptions, models, and verification.

Every other video I make is for members at https://mathmonthly.com/ — please become a member to access the full library.

Become a member to join my live Zoom sessions for Q&A, guidance, and research participation, with opportunities to receive credit in published books for your contributions.

This is a public episode. If you'd like to discuss this with other subscribers or get access to bonus episodes, visit https://mathmonthly.substack.com/subscribe

Lesson 1 | How to Study | LaTeX in Microsoft Word vs. TeXShop

Welcome to Math Monthly. Jonathan David explains the difference between using LaTeX-style equation input in Microsoft Word and writing LaTeX documents in TeXShop, with a focus on preparing mathematical work.

Every other video I make is for members at https://mathmonthly.com/ — please become a member to access the full library.

Become a member to join my live Zoom sessions for Q&A, guidance, and research participation, with opportunities to receive credit in published books for your contributions.

This is a public episode. If you'd like to discuss this with other subscribers or get access to bonus episodes, visit https://mathmonthly.substack.com/subscribe

Welcome to Math Monthly. Jonathan David discusses building technical skills, research experience, projects, and a professional resume throughout college to pursue competitive job offers by senior year.

Every other video I make is for members at https://mathmonthly.com/ — please become a member to access the full library.

Become a member to join my live Zoom sessions for Q&A, guidance, and research participation, with opportunities to receive credit in published books for your contributions.

This is a public episode. If you'd like to discuss this with other subscribers or get access to bonus episodes, visit https://mathmonthly.substack.com/subscribe

Welcome to Math Monthly.

Every other video I make is for members at https://mathmonthly.com/ — please become a member to access the full library.

Become a member to join my live Zoom sessions for Q&A, guidance, and research participation, with opportunities to receive credit in published books for your contributions.

This is a public episode. If you'd like to discuss this with other subscribers or get access to bonus episodes, visit https://mathmonthly.substack.com/subscribe