mathematics

Margaret Evelyn Mauch

Margaret Evelyn Mauch 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 Margaret Evelyn Mauch rather than just read about it. In short: Margaret Evelyn Mauch (1897–1987) was an American mathematician and university professor. She was one of the few women to earn a PhD in mathematics before World War II in the United States.

Key takeaways

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

Reference excerpt

Margaret Evelyn Mauch (1897–1987) was an American mathematician and university professor. She was one of the few women to earn a PhD in mathematics before World War II in the United States.

Biography Margaret Mauch was born in De Smet, South Dakota on June 1, 1897 to Henry Mauch and Norway-born Rose Brekhus. She spent her early years living in the area around De Smet and the 1900 census recorded shows that her family was living in Lake Preston. Mauch attended public elementary and high schools in South Dakota. She studied at Huron College (now closed) in Huron, about thirty miles from De Smet. After receiving her bachelor's degree in 1919, she taught for a year at Winner High School in the south-central part of South Dakota. Thereafter, she worked for a year as principal of Edgerton High School in Minnesota. From 1921 to 1923, she attended the University of Chicago, where she received her master's degree in 1923 with a thesis in theoretical mechanics titled: The Motion of a Certain Rotating Bar.

From 1924 to 1925, she taught at the high school in Jacksonville, Florida, and then served as an instructor and assistant professor at the Randolph-Macon Woman's College (now Randolph College) in Lynchburg, Virginia, until 1929, when she returned to the University of Chicago to complete her PhD. In 1938, she received her doctorate under Leonard Eugene Dickson with a dissertation titled Extensions of Waring's Theorem on Seventh Powers. Dickson had already published some of her findings in 1933, identifying her as M.A. Mauch. According to Green:"Although Mauch's degree was not conferred until 1938, she had obtained some of her results on Waring's theorem for seventh powers considerably earlier. In Dickson's 1933 article, Recent Progress on Waring's Theorem and its Generalizations, he mentions her work on page 721 at the end of the section he calls "Remarkable Empirical Generalizations of Waring's Theorem."From 1934 to 1942, Mauch headed the mathematics department at the high school in Brookings, South Dakota, and then, until 1944, she was an instructor and assistant professor at Carleton College in Northfield, Minnesota. From 1944 to 1945, she was an instructor at Michigan State College (now Michigan State University), and in 1945 she became an assistant professor at the University of Akron in Ohio, where she was promoted to associate professor in 1950 and full professor in 1962. She retired from the university in 1963 but continued to teach there and was appointed professor emerita in 1966. In 1966, Margaret Mauch and her younger sister, Ruby Mauch, moved back from Akron to Huron, South Dakota, to live with a brother. Margaret Mauch died in Huron at the Violet Tschetter Memorial Home at 90 on November 16, 1987. She was buried in the Hetland, South Dakota, cemetery.

Memberships Mauch's organizational affiliations, according to Judy Green:

American Mathematical Society Mathematical Association of America Sigma Delta Epsilon Sigma Xi American Association of University Women American Association of University Professors

References

Worked examples

Example 1 — a first encounter with Margaret Evelyn Mauch

Start with the simplest possible case. Write down what Margaret Evelyn Mauch 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 Margaret Evelyn Mauch 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 Margaret Evelyn Mauch 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 Margaret Evelyn Mauch

In research: Margaret Evelyn Mauch 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 Margaret Evelyn Mauch 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: Margaret Evelyn Mauch is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1897 births, 1987 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Margaret Evelyn Mauch 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Margaret Evelyn Mauch” →

Affiliate

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

How to study Margaret Evelyn Mauch in 20 minutes

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

Frequently asked questions

What is Margaret Evelyn Mauch in simple terms?

Margaret Evelyn Mauch (1897–1987) was an American mathematician and university professor. She was one of the few women to earn a PhD in mathematics before World War II in the United States.

Why does Margaret Evelyn Mauch 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 Margaret Evelyn Mauch?

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 Margaret Evelyn Mauch.