mathematics

Kathleen Madden

Kathleen Madden 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 Kathleen Madden rather than just read about it. In short: Kathleen Marie Madden is an American mathematician who works in dynamical systems. She was the dean of the School of Natural Sciences, Mathematics, and Engineering at California State University, Bakersfield.

Key takeaways

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

Reference excerpt

Kathleen Marie Madden is an American mathematician who works in dynamical systems. She was the dean of the School of Natural Sciences, Mathematics, and Engineering at California State University, Bakersfield. She won the George Pólya Award and is the co-author of the book Discovering Discrete Dynamical Systems.

Education and career Madden did her undergraduate studies at the University of Colorado. She then spent two years with the Peace Corps teaching mathematics in Cameroon before returning to the US for graduate study. She completed her Ph.D. in 1994 at the University of Maryland, College Park; her dissertation, On the Existence and Consequences of Exotic Cocycles, was supervised by Nelson G. Markley. Before joining California State University, Bakersfield as associate dean in 2015, she was a faculty member in the mathematics department at Lafayette College and then at Drew University, where she also served as chair of the department and associate dean. At California State University, Bakersfield, she was appointed interim dean in 2016 and permanent dean in 2017. She served in this position until 2021, at which time she retired to a part-time position in the faculty.

Books and recognition In 1998, Madden and Aimee Johnson won the George Pólya Award for their joint paper on aperiodic tiling, "Putting the Pieces Together: Understanding Robinson's Nonperiodic Tilings". In 2017, Madden, Johnson, and their co-author Ayşe Şahin published the textbook Discovering Discrete Dynamical Systems through the Mathematical Association of America.

References

Worked examples

Example 1 — a first encounter with Kathleen Madden

Start with the simplest possible case. Write down what Kathleen Madden 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 Kathleen Madden 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 Kathleen Madden 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 Kathleen Madden

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

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

Frequently asked questions

What is Kathleen Madden in simple terms?

Why does Kathleen Madden 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 Kathleen Madden?

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 Kathleen Madden.