mathematics

Michael Scott Jacobson

Michael Scott Jacobson 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 Michael Scott Jacobson rather than just read about it. In short: Michael S. Jacobson is a mathematician, and Professor of Mathematical & Statistical Sciences in the Department of Mathematical & Statistical Science at the University of Colorado Denver.

Key takeaways

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

Reference excerpt

Michael S. Jacobson is a mathematician, and Professor of Mathematical & Statistical Sciences in the Department of Mathematical & Statistical Science at the University of Colorado Denver. He served as Chair from 2003 to 2012 and was on loan serving as a program director in EHR/DUE at the National Science Foundation.

Early life Jacobson did his undergraduate studies at SUNY Stony Brook in mathematics, graduating in 1975 and received his MS and Ph.D. in 1977 and 1980, respectively, from Emory University under the supervision of Henry S. Sharp Jr. He spent 23 years at the University of Louisville, where in addition to being promoted to Professor in 1988, also served as Department Chair and Associate Dean for Research and Graduate Studies.

Current work Jacobson has been at the University of Colorado Denver since 2003.

Mathematics Jacobson specializes in combinatorics and in particular graph theory. He has published more than 140 mathematical papers on topics including Ramsey theory, Hamiltonian graphs, domination in graphs and extremal graph theory. He has had over 70 collaborators including Kenneth Bogart, Stefan Burr, Gary Chartrand, Guantao Chen, Paul Erdős, Ralph Faudree, Ron Gould, András Gyárfás, Frank Harary, Stephen Hedetniemi, Linda Lesniak, Fred McMorris, K. Brooks Reid, Richard Schelp, Edward Scheinerman and Douglas B. West.

References

External links Academic Page

Worked examples

Example 1 — a first encounter with Michael Scott Jacobson

Start with the simplest possible case. Write down what Michael Scott Jacobson 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 Michael Scott Jacobson 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 Michael Scott Jacobson 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 Michael Scott Jacobson

In research: Michael Scott Jacobson 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 Michael Scott Jacobson 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: Michael Scott Jacobson is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 21st-century American mathematicians, Graph theorists, so understanding it makes those chapters shorter.
In everyday life: Look for Michael Scott Jacobson 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 Michael Scott Jacobson in 20 minutes

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

Frequently asked questions

What is Michael Scott Jacobson in simple terms?

Michael S. Jacobson is a mathematician, and Professor of Mathematical & Statistical Sciences in the Department of Mathematical & Statistical Science at the University of Colorado Denver.

Why does Michael Scott Jacobson 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 Michael Scott Jacobson?

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 Michael Scott Jacobson.