mathematics

Joyce McLaughlin

Joyce McLaughlin 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 Joyce McLaughlin rather than just read about it. In short: Joyce Rogers McLaughlin (8 October 1939 – 23 October 2017) was an American mathematician, the Ford Foundation Professor of Mathematics at Rensselaer Polytechnic Institute. Her research interests were primarily in applied mathematics, and in particular in inverse problems.

Key takeaways

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

Reference excerpt

Joyce Rogers McLaughlin (8 October 1939 – 23 October 2017) was an American mathematician, the Ford Foundation Professor of Mathematics at Rensselaer Polytechnic Institute. Her research interests were primarily in applied mathematics, and in particular in inverse problems.

Academic career McLaughlin did her undergraduate studies at Kansas State University. After earning a master's degree from the University of Maryland, she moved to the University of California, Riverside for her doctoral studies, earning a Ph.D. in 1968 under the supervision of Joaquin Basilio Diaz. She joined the Rensselaer faculty in 1978. She was chair of the board of trustees of the Society for Industrial and Applied Mathematics from 1996 to 1998.

Awards and honors McLaughlin was an invited lecturer at the International Congress of Mathematicians in 1994. She was chosen by the Association for Women in Mathematics and the Society for Industrial and Applied Mathematics as the AWM-SIAM Sonia Kovalevsky Lecturer in 2004. She became a fellow of the Society for Industrial and Applied Mathematics in 2009 and a fellow of the American Mathematical Society in 2013 in the inaugural class.

References

External links Home page

Worked examples

Example 1 — a first encounter with Joyce McLaughlin

Start with the simplest possible case. Write down what Joyce McLaughlin 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 Joyce McLaughlin 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 Joyce McLaughlin 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 Joyce McLaughlin

In research: Joyce McLaughlin 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 Joyce McLaughlin 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: Joyce McLaughlin is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1939 births, 2017 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Joyce McLaughlin 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.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Joyce McLaughlin in 20 minutes

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

Frequently asked questions

What is Joyce McLaughlin in simple terms?

Why does Joyce McLaughlin 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 Joyce McLaughlin?

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 Joyce McLaughlin.