mathematics

Richard Bertram (mathematician)

Richard Bertram (mathematician) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Richard Bertram (mathematician) rather than just read about it. In short: Richard Bertram is a mathematician who works in the field of biomathematics. He is an endowed professor and head of the biomathematics program at Florida State University and a fellow of the Society for Mathematical Biology (SMB).

Key takeaways

Richard Bertram (mathematician) belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Richard Bertram (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Richard Bertram (mathematician) from memory before moving on to harder problems.

Reference excerpt

Richard Bertram is a mathematician who works in the field of biomathematics. He is an endowed professor and head of the biomathematics program at Florida State University and a fellow of the Society for Mathematical Biology (SMB).

Education Bertram earned his Bachelors degree and Ph.D at Florida State University. He completed his Ph.D in 1993 under supervisor Jeronimo Magnan.

Career In 2010 Bertram was named director of the Florida State University biomathematics program. Beginning in 2014, he spent ten years as deputy editor for Mathematical Biosciences, a peer-reviewed academic journal published by Elsevier. In 2017, the Society for Industrial and Applied Mathematics awarded Bertram the Outstanding Paper Prize for a paper with Theodore Vo and Martin Wechselberger. In 2023, he became a fellow of the SMB and the following year he was elected to the society's Board of Directors.

Selected publications Vo, Theodore; Bertram, Richard; Wechselberger, Martin (January 2013). "Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting". SIAM Journal on Applied Dynamical Systems. 12 (2): 789–830. doi:10.1137/120892842. Bertram, Richard; Butte, Manish J.; Kiemel, Tim; Sherman, Arthur (1 January 1995). "Topological and phenomenological classification of bursting oscillations". Bulletin of Mathematical Biology. 57 (3): 413–439. doi:10.1016/S0092-8240(05)81776-8. ISSN 0092-8240.

References

Worked examples

Example 1 — a first encounter with Richard Bertram (mathematician)

Start with the simplest possible case. Write down what Richard Bertram (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Richard Bertram (mathematician) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Richard Bertram (mathematician) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Richard Bertram (mathematician)

In research: Richard Bertram (mathematician) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Richard Bertram (mathematician) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Richard Bertram (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century mathematicians, Florida State University alumni, Florida State University faculty, so understanding it makes those chapters shorter.
In everyday life: Look for Richard Bertram (mathematician) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Richard Bertram (mathematician) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Richard Bertram (mathematician) means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Richard Bertram (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Richard Bertram (mathematician) in simple terms?

Why does Richard Bertram (mathematician) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Richard Bertram (mathematician)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Richard Bertram (mathematician).