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Marie Cecilia Mangold

Marie Cecilia Mangold 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 Marie Cecilia Mangold rather than just read about it. In short: Marie Cecilia Mangold (1872–1934) (born Josephine Margaret Mangold and later known as Sister Marie Cecilia) was an American mathematician, university professor and Catholic nun. She was only the second nun to earn a doctorate in the United States in mathematics.

Key takeaways

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

Reference excerpt

Marie Cecilia Mangold (1872–1934) (born Josephine Margaret Mangold and later known as Sister Marie Cecilia) was an American mathematician, university professor and Catholic nun. She was only the second nun to earn a doctorate in the United States in mathematics.

Biography She was born on December 5, 1872, as Josephine Margaret Mangold in Cincinnati, Ohio, the daughter of Matthew Mangold, who had emigrated to the United States from Bavaria, Germany, and Mary Anna Hemann. Of the couple's ten children, eight survived. Their mother was a housewife and their father sold imported wines and liquors until he died around 1900. Josephine attended a parish school in Cincinnati and later the Academy of the Sisters of Notre Dame de Namur. In 1898, she began her novitiate and in 1900 she entered that same religious order. In 1901, using the name Sister Marie Cecilia, she began studying mathematics at Trinity College (now known as Trinity Washington University) located in Washington D.C. Sister Marie Cecilia earned her bachelor's degree in mathematics and physics in 1910 from Trinity and followed that with her master's degree in mathematics and chemistry in 1914; her thesis was titled: Application of the complex variable to certain problems in metric geometry. In 1929, she received her doctorate in mathematics from the Catholic University of America, becoming only the second nun in the United States to do so, after Sister Mary Gervase Kelley. Marie Cecilia's dissertation, supervised by Aubrey Edward Landry, was titled: The Loci Described by the Vertices of Singly Infinite Systems of Triangles Circumscribed about a Fixed Conic. For more than thirty years as a faculty member and department director at Trinity College, Sister Marie Cecilia was mostly alone in the mathematics department, which usually had only one or two instructors. The first classes she taught were trigonometry, solid geometry, analytic geometry, advanced algebra, differential calculus, integral calculus, theory of equations, theory of determinants and history of mathematics. In 1907, she introduced analytical mechanics, and three years later she added advanced calculus and a teachers' course with a calculus prerequisite. In 1914, three advanced courses for graduates were added (differential equations, vector analysis and projective geometry). In 1919, she added some practical mathematics for physics and chemistry students, and in 1923, statistical methods was added. She taught at Trinity until her death at 61. She died on February 9, 1934, at Trinity College, and was buried at Mount Olivet Cemetery in Washington, D.C.

Memberships American Mathematical Society Mathematical Association of America

Selected publications 1927: Methods of Measuring the Reliability of Tests. The Catholic Education Press, Washington, DC. Educational Research Bulletins, Vol. 2, No. 8. 1929: with Sister Mary Louise M'Graw: Group Intelligence Tests in the Primary Grades. The Catholic Education Press, Washington, DC. Educational Research Bulletins, Vol. 4, No. 2.

References

Worked examples

Example 1 — a first encounter with Marie Cecilia Mangold

Start with the simplest possible case. Write down what Marie Cecilia Mangold 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 Marie Cecilia Mangold 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 Marie Cecilia Mangold 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 Marie Cecilia Mangold

In research
Marie Cecilia Mangold 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 Marie Cecilia Mangold 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
Marie Cecilia Mangold is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1872 births, 1934 deaths, 20th-century American Roman Catholic nuns, so understanding it makes those chapters shorter.
In everyday life
Look for Marie Cecilia Mangold 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 Marie Cecilia Mangold in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Marie Cecilia Mangold means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Marie Cecilia Mangold out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Marie Cecilia Mangold in simple terms?

Marie Cecilia Mangold (1872–1934) (born Josephine Margaret Mangold and later known as Sister Marie Cecilia) was an American mathematician, university professor and Catholic nun. She was only the second nun to earn a doctorate in the United States in mathematics.

Why does Marie Cecilia Mangold 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 Marie Cecilia Mangold?

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 Marie Cecilia Mangold.

Tags

  • 1872 births
  • 1934 deaths
  • 20th-century American Roman Catholic nuns
  • 20th-century American mathematicians
  • 20th-century American women mathematicians
  • American mathematicians
  • Catholic University of America
  • Trinity Washington University alumni
  • Trinity Washington University faculty
  • Women mathematicians

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