astronomy

Joaquín Bustoz Jr.

Joaquín Bustoz Jr. is a astronomy 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 Joaquín Bustoz Jr. rather than just read about it. In short: Joaquín Bustoz Jr. (1939–2003) was an American mathematician who worked as a professor of mathematics at Arizona State University.

Key takeaways

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

Reference excerpt

Joaquín Bustoz Jr. (1939–2003) was an American mathematician who worked as a professor of mathematics at Arizona State University. His mathematical research concerned classical analysis, including Fourier analysis, summability methods, univalent function, orthogonal polynomials and special functions. He made contributions to all of these topics, most notably in collaboration with Mourad Ismail, Sergei Suslov and with his PhD students Luís Daniel Abreu, José Luis Cardoso and Luis Gordillo. But he was primarily known as a mentor to underrepresented minorities in mathematics. Bustoz was born in Tempe, Arizona; his parents worked on the local farms and also for the Tempe Elementary School District, which eventually named the Joaquin and Ramona Bustoz Elementary School after them. He graduated from Arizona State University in 1962 with a degree in mathematics, and after two years in California working for Univac returned to ASU, where he completed a doctorate in 1967 under the supervision of Walter Tandy Scott. After teaching at the University of Cincinnati from 1969 to 1976, during which he also spent a year at the National University of Colombia as a Fulbright Scholar, he returned to ASU again as an associate professor in 1976, and was promoted to full professor in 1978. He chaired the ASU mathematics department from 1982 to 1985. In 1985, Bustoz founded the Summer Math–Science Honors program for high school students, which continues at ASU as the Joaquin Bustoz Math–Science Honors Program. Bustoz also worked on mathematics education on the Navajo Nation and the Pima reservations. For his efforts, president Bill Clinton honored him in 1996 with the Presidential Award for Excellence in Science, Mathematics and Engineering Mentoring. He was killed by a car accident on August 13, 2003. As well as the Math–Science Honors program, the Joaquin Bustoz Jr. Professorship at ASU, held by Carlos Castillo-Chavez, is named after Bustoz.

References

Worked examples

Example 1 — a first encounter with Joaquín Bustoz Jr.

Start with the simplest possible case. Write down what Joaquín Bustoz Jr. claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Joaquín Bustoz Jr. 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 Joaquín Bustoz Jr. 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 Joaquín Bustoz Jr.

In research: Joaquín Bustoz Jr. appears in astronomy 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 Joaquín Bustoz Jr. 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: Joaquín Bustoz Jr. is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1939 births, 2003 deaths, 20th-century American educators, so understanding it makes those chapters shorter.
In everyday life: Look for Joaquín Bustoz Jr. 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 Joaquín Bustoz Jr. in 20 minutes

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

Frequently asked questions

What is Joaquín Bustoz Jr. in simple terms?

Joaquín Bustoz Jr. (1939–2003) was an American mathematician who worked as a professor of mathematics at Arizona State University.

Why does Joaquín Bustoz Jr. matter?

Because it connects several astronomy 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 Joaquín Bustoz Jr.?

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 Joaquín Bustoz Jr..