#!/usr/bin/env python
# coding: utf-8

# # 2.18 Programming for Geoscientists class test - 14:00-16:00 18th December 2014

# #Test instructions
# 
# * This test contains **5** questions each of which should be answered.
# * Write your program in a Python cell just under each question.
# * You can write an explanation of your solution as comments in your code.
# * In each case your solution program must fulfil all of the instructions - please check the instructions carefully and double check that your program fulfils all of the given instructions.
# * Save your work regularly.
# * At the end of the test you should email your IPython notebook document (i.e. this document) to [Gerard J. Gorman](http://www.imperial.ac.uk/people/g.gorman) at g.gorman@imperial.ac.uk

# **Question 1** 
# 
# * Correct the 5 errors in the following program.
# * In each case add a comment explaining the error and the fix.
# * To verify your answer remember that $sin ^2( x ) + cos ^2( x ) = 1$.

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from math import sin, cos
x = pi /4
1_val = sin^2( x ) + cos^2( x )
print 1_VAL


# **Question 2**
# 
# * Create a python list containing 101 evenly spaced values between -1.0 and 1.0.
# * Show how this could be more efficently done using NumPy.
# * Print out the values using a formatted print statement.

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# **Question 3**
# 
# * a. Write a python function that evaluates the equation below for input variables $x$ and $t$: $$f(x, t) = e^{-(x-3t)^2} \sin \left( 3\pi \left( x-t \right) \right)$$
# * b. Generate an array of $x$ values in the range $[-3.0, 10]$.
# * c. Using this array of x values, plot the function for $t=0.0$, $t=1.0$ and $t=2.0$.

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# **Question 4**
# 
# * Write a program to read the data file [seismic.dat](https://raw.githubusercontent.com/ggorman/Introduction-to-programming-for-geoscientists/master/notebook/data/seismic.dat) and store the magnitude of the earthquakes (*i.e.* the last column) in an numpy array.
# * How many earthquakes are there above magnitude 6.0?

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# **Question 5** The file [human_evolution.txt](https://raw.githubusercontent.com/ggorman/Introduction-to-programming-for-geoscientists/master/notebook/data/human_evolution.txt) holds information about various human species and their hight, weight, and brain volume. 
# 
# * Write a program that reads this file and stores the data in a python dictionary humans.
# * The dictionary key should correspond to the specie name (e.g., “homo erectus”), and the value should be a list containing the corresponding data. For example, humans["H. habilis"] should give ["2.2 - 1.6", "1.0 – 1.5", "33 – 55", "660"].
# * Write out the humans dictionary in a formatted tabular form.

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