a01 - CS 135 Fall 2011 Becker, Goldberg, Kaplan, Tompkins,...

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CS 135 Fall 2011 Becker, Goldberg, Kaplan, Tompkins, Vasiga Assignment: 1 Due: Tuesday, September 20, 2011 9:00 pm Language level: Beginning Student Files to submit: constants.rkt , functions.rkt , speed.rkt , grades.rkt , stars.rkt Warmup exercises: HtDP 2.4.1, 2.4.2, 2.4.3, and 2.4.4 Practice exercises: HtDP 3.3.2, 3.3.3, and 3.3.4 For this and all subsequent assignments the solutions you submit must be entirely your own work. Do not look up either full or partial solutions on the Internet or in printed sources. Please read the course Web page for more information on assignment policies and how to submit your work. Make sure to follow the style and submission guide available on the course web page when preparing your submissions. Your solutions for assignments in this course will be graded both on correctness and on readability, meaning that, among other things, you should use constants and parameters with meaningful names. Note that for this assignment only, you do not need to include the design recipe in your solutions. A well-written function definition is sufficient. If you have not yet received full marks for Assignment 0: You may submit this assignment (and subsequent assignments), but it will be ignored unless you obtain full marks for Assign- ment 0 before this assignment’s due date. Each assignment will start with a list of warmup exercises. You don’t need to submit these, but we strongly advise you to do them to practice concepts discussed in lectures before doing the assignment. This week’s warmup exercises are HtDP exercises 2.4.1, 2.4.2, 2.4.3, and 2.4.4. Here are the assignment questions you need to submit. 1. Translate the following constant definitions into Scheme. Place your solutions in the file constants.rkt . Note that for this question only, you will not be able to Run this DrRacket file. For example, if we asked you to translate the definition: mean = x 1 + x 2 2 you would submit: ( define mean ( / ( + x1 x2 ) 2 )) (a) An example from finance ( future value ): FV = PV · (1 + rate ) n CS 135 — Fall 2011 Assignment 1 1
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(b) An example from geometry (the inradius of a diamond ): radius = a · b a 2 + b 2 (c) An example from algebra (the harmonic mean ): HM = 2 1 v 1 + 1 v 2 2. Translate the following function definitions into Scheme. Place your solutions in the file functions.rkt . (a) An example from genetics (the Haldane equation ): C ( x ) = 1 2 ( 1 - e - 2 · x ) (Hint: recall from Assignment 0 the built-in Scheme function that produces e x .) (b) An example from geometry (the area of a triangle ) area ( a,b,t ) = 1 2 · a · b · sin( t ) (c) An example from physics ( ballistic motion ): height ( v,t ) = v · t - 1 2 · g · t 2 where g is the constant 9 . 8 (acceleration due to gravity) 3. The above constant 9 . 8 represents the acceleration due to gravity in units of metres per second squared ( m/s 2 ). This is a metric unit; in the United States, so-called “imperial” units are usually used instead of metric. There, the constant
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This note was uploaded on 10/27/2011 for the course CS 135 taught by Professor Vasiga during the Fall '07 term at Waterloo.

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a01 - CS 135 Fall 2011 Becker, Goldberg, Kaplan, Tompkins,...

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