Exam 2: Pthon: Estimating PI: Math and Random Methods, Selection and Boolean Expressions, the Print Function

Case Study 2: >>> acc = 0 >>> for x in range(1, 6): acc = acc + x >>> acc 15 -Refer to the session in the accompanying Case Study 2. Explain what pattern this code implements and why it is useful.

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Question 1

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The code implements a common problem-solving pattern known as the accumulator pattern. This common pattern comes up often. Your ability to recognize the pattern and then implement it will be especially useful as you encounter new problems that need to be solved. As an example, consider the simple problem of computing the sum of the first five integer numbers. Of course, this is quite easy because we can just evaluate the expression 1+2+3+4+5. But what if we wanted to sum the first ten integers? Or perhaps the first hundred? In this case, we would find that the size of the expression would become quite long. To remedy this, we can develop a more general solution that uses iteration.

Another name for an if statement is a selection statement.

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Question 2

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True

To create a random number in Python, use the ____ function.

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Question 3

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Explain the difference between the "=" in line 1 and the "==" in line 2 in the code sample below: 1. >>> apple = 25 2. >>> apple == 25 3. True

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Question 4

1. Match each definition with its term. -Contains a question and other groups of statements that may or may not be executed, depending on the result of the question.

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Question 5

Case Study 3: 1. if <condition>: 2. if <condition>: 3. <statements> 4. else: 5. <statements> 6. else: 7. if <condition>: 8. <statements> 9. else: 10. <statements> -Refer to the code in the accompanying case study. Under what circumstances are the statements on line 10 executed?

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Question 6

The code in the accompanying case study 2 (see below) is used to calculate a running product. >>> acc = 0 >>> for x in range(1, 6): acc = acc + x >>> acc 15

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Question 7

Case Study 1: >>> import math >>> numSides = 8 >>> innerAngleB = 360.0 / numSides >>> halfAngleA = innerAngleB / 2 >>> oneHalfSideS = math.sin(math.radians(halfAngleA)) >>> sideS = oneHalfSideS * 2 >>> polygonCircumference = numSides * sideS >>> pi = polygonCircumference / 2 >>> pi 3.0614674589207183 -Refer to the session in the accompanying case study 1. How many sides does the polygon in this approximation have?

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Question 8

Why are decisions referred to as "selection" in computer science?

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Question 9

Which of the following is a constant in the math module?

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Question 10

What equation relates pi to the circumference of a circle?

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Question 11

1. Match each definition with its term. -Compares two data values.

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Question 12

1. Match each definition with its term. -and, or, and not

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Question 13

Explain how to modify the coordinate system of the drawing window when using the turtle module.

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Question 14

Case Study 2: >>> acc = 0 >>> for x in range(1, 6): acc = acc + x >>> acc 15 -Refer to the session in the accompanying case study 2. What type of variable is acc?

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Question 15

The relational operator that means "not equal" is represented with which operator in Python?

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Question 16

Explain how a Monte Carlo simulation can be used to calculate the value of pi.

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Question 17

In order to use the sqrt() function, you must use which of the following Python statements?

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Question 18

Case Study 3: 1. if <condition>: 2. if <condition>: 3. <statements> 4. else: 5. <statements> 6. else: 7. if <condition>: 8. <statements> 9. else: 10. <statements> -Refer to the code in the accompanying Case study 3. Why is this section of code referred to as "nested selection"?

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Question 19

What are some patterns to keep in mind when implementing the Leibniz formula with Python?

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Question 20

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Case Study 2: >>> acc = 0 >>> for x in range(1, 6): acc = acc + x >>> acc 15 -Refer to the session in the accompanying Case Study 2. Explain what pattern this code implements and why it is useful.

Another name for an if statement is a selection statement.

To create a random number in Python, use the ____ function.

Explain the difference between the "=" in line 1 and the "==" in line 2 in the code sample below: 1. >>> apple = 25 2. >>> apple == 25 3. True

1. Match each definition with its term. -Contains a question and other groups of statements that may or may not be executed, depending on the result of the question.

Case Study 3: 1. if <condition>: 2. if <condition>: 3. <statements> 4. else: 5. <statements> 6. else: 7. if <condition>: 8. <statements> 9. else: 10. <statements> -Refer to the code in the accompanying case study. Under what circumstances are the statements on line 10 executed?

The code in the accompanying case study 2 (see below) is used to calculate a running product. >>> acc = 0 >>> for x in range(1, 6): acc = acc + x >>> acc 15

Why are decisions referred to as "selection" in computer science?

Which of the following is a constant in the math module?

What equation relates pi to the circumference of a circle?

1. Match each definition with its term. -Compares two data values.

1. Match each definition with its term. -and, or, and not

Explain how to modify the coordinate system of the drawing window when using the turtle module.

Case Study 2: >>> acc = 0 >>> for x in range(1, 6): acc = acc + x >>> acc 15 -Refer to the session in the accompanying case study 2. What type of variable is acc?

The relational operator that means "not equal" is represented with which operator in Python?

Explain how a Monte Carlo simulation can be used to calculate the value of pi.

In order to use the sqrt() function, you must use which of the following Python statements?

Case Study 3: 1. if <condition>: 2. if <condition>: 3. <statements> 4. else: 5. <statements> 6. else: 7. if <condition>: 8. <statements> 9. else: 10. <statements> -Refer to the code in the accompanying Case study 3. Why is this section of code referred to as "nested selection"?

What are some patterns to keep in mind when implementing the Leibniz formula with Python?

Introduction to Python: Introduction to Numeric Types, Turtle Graphics, Simple for Loops and Functions

Codes and Other Secrets: String Operators and Methods, the Len Built-In Function, Keyword Parameters, User Input

Introducing the Python Collections: Lists, Dictionaries, Tuples, and Statistics

Bigger Data: File Io: the While Loop, String Formatting, Reading Online Data in CSV and Json Formats

Image Processing: Nested for Loops, Functions As Parameters, Namespaces, Lists of Lists

Data Mining: Cluster Analysis: More on the While Loop; Parrallel Lists

Cryptanalysis: Advanced Dictionaries and Lists, Regular Expressions

Fractals: the Geometry of Nature: Recursion, Grammars and Production Rules

Astronomy: Creating Classes, Writing Constructors, Accessors, Mutators and Special Methods

Simulation:computer Simulation Using Objects

Father Was a Rectangle: Inheritance and Object-Oriented Design

Video Games: Multithreading, Event Handlers, Static Variables

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