mathematics

Gail Wolkowicz

Gail Wolkowicz 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 Gail Wolkowicz rather than just read about it. In short: Gail Susan Kohl Wolkowicz is a Canadian researcher in differential equations, dynamical systems, and mathematical biology who works as a professor of mathematics and statistics at McMaster University. She is known, among other contributions, for her proof that the competitive exclusion principle holds for inter-species competition in the chemostat.

Key takeaways

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

Reference excerpt

Gail Susan Kohl Wolkowicz is a Canadian researcher in differential equations, dynamical systems, and mathematical biology who works as a professor of mathematics and statistics at McMaster University. She is known, among other contributions, for her proof that the competitive exclusion principle holds for inter-species competition in the chemostat. After earning bachelor's and master's degrees at McGill University, Wolkowicz completed her doctorate in 1984 at the University of Alberta, under the supervision of Geoffrey J. Butler. Her dissertation was entitled "An Analysis of Mathematical Models Related to the Chemostat." After postdoctoral studies at Emory University and Brown University, she joined the McMaster faculty in 1986. One of her PhD students was Stacey Smith?. Wolkowicz won the Krieger–Nelson Prize in 2014. One of her papers, "Mathematical model of anaerobic digestion in a chemostat: effects of syntrophy and inhibition" (with Marion Weedermann and Gunog Seo) won the biennial Lord Robert May Best Paper Prize of the Journal of Biological Dynamics, in which it was published.

References

External links Home page Archived 2017-06-29 at the Wayback Machine Gail Wolkowicz publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Gail Wolkowicz

Start with the simplest possible case. Write down what Gail Wolkowicz 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 Gail Wolkowicz 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 Gail Wolkowicz 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 Gail Wolkowicz

In research: Gail Wolkowicz 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 Gail Wolkowicz 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: Gail Wolkowicz is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic staff of McMaster University, Canadian scientist stubs, Canadian women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Gail Wolkowicz 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 Gail Wolkowicz in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Gail Wolkowicz 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 Gail Wolkowicz out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Gail Wolkowicz in simple terms?

Why does Gail Wolkowicz 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 Gail Wolkowicz?

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 Gail Wolkowicz.