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Name: _________________________ | Period: ___________________ |

This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

## Multiple Choice Questions

**1. One of the implications of what theorem is that if a continuous discrete dynamical system on the real line has a periodic point of period 3, then it must have periodic points of every other period?**
**(a)** Stronghorn's theorem. **(b)** Stevenson's theorem. **(c)** Skawinski's theorem. **(d)** Sharkovskii's theorem.

**2. What is a description of a system using mathematical concepts and language?**
**(a)** Computer model. **(b)** Algorithm model. **(c)** Mathematical model. **(d)** Fraction model.

**3. When was Steven Smale born?**
**(a)** 1943. **(b)** 1932. **(c)** 1930. **(d)** 1938.

**4. Where was Thomas S. Kuhn born?**
**(a)** Cincinnati, Ohio. **(b)** Anchorage, Alaska. **(c)** Spearfish, South Dakota. **(d)** Omaha, Nebraska.

**5. What is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force?**
**(a)** Fluid dynamics. **(b)** Physiology. **(c)** Thermodynamics. **(d)** Physics.

## Short Answer Questions

**1.** Who said that calling the study of chaos a nonlinear science was akin to calling zoology "the study of nonelephant animals" in Chapter 3, "Life's Ups and Downs"?

**2.** Where was Edward Lorenz born?

**3.** In Chapter 1, "The Butterfly Effect," the author writes, "The Butterfly Effect acquired a technical name: sensitive dependence on _____________"?

**4.** What is the study of general and fundamental problems, such as those connected with existence, knowledge, values, reason, mind, and language?

**5.** Who does Gleick quote as saying "It does not say in the Bible that all laws of nature are expressible linearily!" in Chapter 3, "Life's Ups and Downs"?

## Short Essay Questions

**1.** In Chapter 3, "Life's Ups and Downs," one of the biggest questions came to be how different parameters affected the ultimate destiny of a changing population. What was the answer to this?

**2.** What role do computers and mathematical equations play in ecology and biology as described in Chapter 3, "Life's Ups and Downs"?

**3.** What were the biggest issues with weather forecasting during Lorenz's time as described in Chapter 1, "The Butterfly Effect"? How is the Butterfly Effect defined?

**4.** How did the role of chaos theory affect ecologists in the 1970s as described in Chapter 3, "Life's Ups and Downs"?

**5.** What variable changed the outcome in the experiment described by Thomas S. Kuhn in Chapter 2, "Revolution"?

**6.** How is James Yorke described in Chapter 3, "Life's Ups and Downs"? What term did he coin?

**7.** How is a Cantor set described in Chapter 4, "A Geometry of Nature"?

**8.** Who is quoted discussing nonlinear problems in Chapter 3, "Life's Ups and Downs"?

**9.** How is Edward Lorenz described in Chapter 1, "The Butterfly Effect"? Where was he working at the time?

**10.** How is the relationship between meteorologists and computers described in Chapter 1, "The Butterfly Effect"?

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