Introduction to Computing Using Matlab - Cornell University · 2013. 1. 22. · Lecture 1 28...
Transcript of Introduction to Computing Using Matlab - Cornell University · 2013. 1. 22. · Lecture 1 28...
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Introduction to ComputingUsing Matlab
CS 1112 Spring 2013(CS1142)
Dr. K.-Y. Daisy Fan
http://www.cs.cornell.edu/courses/cs1112/
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Lecture 1 4
Today’s lecture
An illuminating problem CS1112 philosophies & syllabus What is computer programming? Choosing between CS1112 & CS1110 Course logistics/policies (highlights)
How about CS1114? Introduction to Computational Science and Engineering Using Matlab and Robotics
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Lecture 1 5
An illuminating problem: computing square roots
Suppose A > 0
Observation: If A is the area of a square, then I can just measure the side length—that is
Idea: Make a square with area A
Real task: Make a sequence of increasingly square rectangles, each with area A
A
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Lecture 1 6
How to make a rectangle “more square”?
If a square and a rectangle both have area A …
then is between the length and width of the rectangle
A
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A/L
Recipe: Lnew = (L + A/L) / 2
Current:
Next:
L
Lnew
A/Lnew
An improvement strategy
The average of the length andwidth.
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Lecture 1 8
A Matlab program to make “increasingly square” rectangles
% The first rectangle...L1 = A;W1 = 1;% The second rectangle...L2 = (L1+W1)/2;W2 = A/L2;% The third rectangle...L3 = (L2+W2)/2;W3 = A/L3;% and so on...
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The progression of rectangles with area 10
Length Width9.000000000000000 1.0000000000000005.000000000000000 1.8000000000000003.400000000000000 2.6470588235294123.023529411764706 2.9766536964980553.000091554131380 2.9999084486625883.000000001396984 2.999999998603016
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Lecture 1 10
Some conclusions from square root finding problem
It paid to have a geometric sense A complicated computation was reduced to a
sequence of elementary calculations A program is like a formula (or sequence of
formulas)
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Lecture 1 11
Course Goals
Develop your “computational senses,” senses that you need in computer problem-solving
Develop a facility with the Matlab programming environment
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Lecture 1 12
A sense of geometry
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Lecture 1 13
A sense of complexityWhat is the best
itinerary to visit Boston, Miami, LA, Dallas?3! = 6 possibilities
Add Seattle, NYC Austin, Denver7! = 5040
If a computer can process 1 billion itineraries a second, how long does it take to solve a 100-city problem?
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A sense of complexityWhat is the best
itinerary to visit Boston, Miami, LA, Dallas?3! = 6 possibilities
Add Seattle, NYC Austin, Denver7! = 5040
If a computer can process 1 billion itineraries a second, how long does it take to solve a 100-city problem?
About a century…
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Lecture 1 15
A sense of approximation & error
1/3 = .33333…
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Lecture 1 16
A sense of randomness and probability
Random walkBrownian motion in water
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Lecture 1 17
Course Goals
Develop your “computational senses,” senses that you need in computer problem-solving
Develop a facility with the Matlab programming environment
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Lecture 1 18
Computer problem-solving
Key: Algorithmic thinking
Algorithm:A step-by-step procedure that takes you from a prescribed set of inputs to a prescribed set of outputs
Program:The algorithm expressed in a specific language, e.g., Matlab
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Lecture 1 19
Computer problem-solving — Programming
Developing instructions for the computer to execute (in order to solve some problem)
The steps must be logical Use a particular language and follow the rules of the
language (grammar/syntax)
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Lecture 1 20
Example: Adding songs from the internet to your music library
Find a website with MP3 or other audio files Register with the music site, if required for music
downloading. (Don’t steal music.) Click on the music file to download it onto your
computer Drag the file to your library
Reference: iTunes
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Lecture 1 21
Example: Adding songs from the internet to your music library
Drag the file to your library Click on a music file to download it onto your
computer Find a website with MP3 or other audio files Register with the music site, if required for music
downloading. (Don’t steal music.)
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Lecture 1 22
Example: Adding songs from the internet to your music library
Find a website with MP3 or other audio files Register with the music site, if required for music
downloading. (Don’t steal music.) Click on the music file to download it onto your
computer Drag the file to your library
Reference: iTunes
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Lecture 1 23
Example: Adding songs from the internet to your music library
Find a website with MP3 or other audio files Register with the music site, if required for music
downloading. (Don’t steal music.) Click on the music file to dowNload it onto your
computer file Drag your librAry to
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Lecture 1 24
Computer programming is …
a tool used by computer scientists, engineers, and other professionals
not all of computer science
Think about astronomy: Telescope is a tool used by astronomers; astronomy is not about telescopes…
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Lecture 1 27
Matlab is the vehicle we use
With the Matlab environment, you can easily Develop programs Display results & ideas graphically Interact with large data sets (process text,
image, and other files)
Matlab has extensive libraries of mathematical, statistical, simulation, and other tools. It is heavily used in engineering & sciences, both in industry and academia.
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Lecture 1 28
Engineering students take one of these courses:
CS1112 – this course, Matlab CS1114 – Matlab + Robotics CS1110 – PythonEach course satisfies the Engineering Computing Requirement. You will learn procedural programming in depth and be introduced to object-oriented programming.Each course can serve as the prerequisite for CS/ENGRD 2110 Object-Oriented Programming & Data Structure
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Lecture 1 29
CS1112 has a focus on computational science & engineering
Approximation, randomness, model building, sensitivity of models
Lecture examples and homework illustrate above themesEdge detectionRanking web pages Congressional apportionment
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Lecture 1 30
Find the US population center from census data
Organize protein data using structure arrays
Mozart’s musical dice gamePyramid of Khufu, Egypt Scale is 5.54 feet per unit length on axes
Select a path using multiple mouse clicks. Click outside the map to stop.Total distance: 8379.3 feet
100 200 300 400 500 600 700 800 900 1000
100
200
300
400
500
600
700
800
900
Some past programming assignments
Root finding tool
Path distance tool(like that in Google Earth)
Draw the “Betsy Ross Flag”
Draw the random Mondrian
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Lecture 1 31
CS1110 – Now in Python
Switched from Java to Python because Python is a friendlier and more modern object-oriented language.
Python is more relevant to non-computer scientists than Java—numerical libraries are available
Conducive to discussion of designMatlab and Python are just different vehicles we use to travel the “computational landscape.”Different scenery along the wayBoth vehicles get you there
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Lecture 1 33
No prior programming experience
One semester of Calculus
Focus on computational science & engineering
Matlab
No prior programming experience
No Calculus
Focus on software development
Java
CS1112 CS1110
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35
CS1114: Intro to Computing using Matlab and Robotics
An honors‐level intro to CS using camera‐controlled robots (Sony Aibo, Wowwee Rovio)
Meets Tuesday / Thursday 11:15 – 12:05
http://www.cs.cornell.edu/courses/cs1114/
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Lecture 1 38
CS1112 requirements
Attend lecture Attend discussion—get individual attention/help on
weekly exercises! Monitor course announcements on website Do homework: best 5 of 6 programming projects Take 2 prelims and a final exam at their scheduled times Answer in-class quizzes (use your clicker) Adhere to the Code of Academic Integrity
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Lecture 1 39
Grading
Best five of six projects (25%) Discussion exercises (4%) In-class quizzes (1%) Prelim 1 (20%) Prelim 2 (20%) Final exam (30%)
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Lecture 1 40
Course Materials
Insight Through ComputingA Matlab introduction to Computationals Science and Engineering
An iClicker clicker
MATLAB Student Version (2008 or later) optional because you can use it in the public labs
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Lecture 1 41
Consulting & Computing
Consulting in ACCEL Green Room (Engineering Library, Carpenter Hall). Check course website for hours.
Some public labs that have Matlab: Upson B-7 ACCEL
(Carpenter Hall, former Engrg Lib)
North campus: RPCC
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Lecture 1 42
What to do now?
Pick a courseTake CS1112, CS1110, or CS1114(add/drop: lecture and discussion and AEW)
Check course website Start reading (see listing on course website) Attend discussion in the lab (Upson B7) on
Tues/Wed You must attend the discussion in which you are
enrolled!
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Lecture 1 45
Sec # Time Room201 T 12:20-1:10p UPS B7 Right & HLS 314
202 T 1:25-2:15p UPS B7 Right & HLS 314
203 T 2:30-3:20p UPS B7 Right & UPS 207
204 T 3:35-4:25p UPS B7 Right & UPS 207
205 W 10:10-11:00a UPS B7 Right & HLS 320
206 W 11:15a-12:05p UPS B7 Right & HLS 314
207 W 12:20-1:10p UPS B7 Right & PHL307
208 W 1:25:2:15p UPS B7 Right & HLS 320
209 W 2:30-3:20p UPS B7 Right & HLS 314
210 W 3:35-4:25p UPS B7 Right & HLS 314
CS1112 Discussion Sections
Discussions are held in UPS B7 the first two weeks