Studio 1.

----------------------------
Topics: Getting started with R, Counting, Simulation

---------------------------
Before class:
1. Post studio1.zip containing studio1.r and colMatches.r
2. Students should download this zip file and unzip it in their 18.05 R directory.

---------------------------
For class:
1. Use studio1-slides.pdf
2. Follow class script below.

---------------------------
After class:
1. Post studio1-birthdays.r
2. Post studio1-slides-all.pdf (slides with solutions)
(For this studio there are no problems requiring solutions, so the posted slides are identical to the in class slides.)

---------------------------
Class script

1. Ask each student to announce their birthday in turn, see if there is a match

2. SLIDE 2: Birthday problem: 
   'today's project is to simulate this in order to estimate the answer'

3. Quick R/RStudio introduction
     --Everyone should have R/RStudio installed and the studio.zip file downloaded and unzipped

     --TEACHER demonstration
       . Use the command line to add 2+2
       . Generate the vector 1:12
     --Have class open studio1.r
       . Encourage class to use the upper left window in R-studio to write and edit commands, so they can be saved.
       . Run commands by selecting some lines.
     --TEACHER demonstration
       . Demonstate lines in studio1.r from top through sample()
       . Have class play with changing some of the numbers in these lines

4. Dice simulation in studio1.r
     --TEACHER demonstration from studio1.r
       . Shows code to source and use colMatches
       . Teach students to define variables like ntrials at the top of the code so they only have to change it once.
       . Teach students to comment out code
       . Show dice matching code
       . 
5. SLIDE 2: Class: studio project to solve the birthday problem
   (Use the sample code as a guide.)
       --estimate probability of match for various n
       --find smallest n with probability > .5
       --vary number of trials and think about variablity

6. SLIDE 3: If we want we can show them the plots on slide 3. 
         At this point to allow them to make plots we'll essentially have to write a makeBirthdayPlot function. Plotting code is at the end of studio1.r 

6: SLIDE 4: Movies of Johnny Carson trying to understand the birthday problem

----------------