Math 152

Lab

Jupyter Notebook

• You will use a Jupyter Notebook to write and run python code.

• In Calclab , Jupyter is located under "Applications/Mathematics" in the toolbar.

• You can install Anaconda to your own laptop.

SymPy command documentations

• SymPy 1.3 documentation tutorial (includes a Quick search box).

• Symbolic Mathematics in Python by Fabian Pedregosa

Work in teams

• Each team should have 5-6 members

Lab Homework Submission

• When you have finished, convert your notebook to PDF using the following steps:

  1. Select "File/Print Preview"

  2. Print the resulting screen (Ctrl-P) and select "Save as PDF" as the printer.

• Team member's names should be entered at the beginning of the file (see the template for more details).

• Do any hand/setup work on scratch paper, which will not be submitted. All computational aspects of each problem must be done in Python.

Lab Homework

• Template

• Lab 1 (Due: Jan 29) --- Example 1

• Lab 2 (Due: Feb 5 )

• Lab 3 (Due: Feb 12) --- Example 3

• Lab 4 (Due: Feb 26) --- Example 4

• Lab 5 (Due: Mar 5) --- Example 5

• Lab 6 (Due: Mar 21) --- Example 6

• Lab 7 (Due: Apr 2) --- Example 7

• Lab 8 (Due: Apr 9) --- Example 8

• Lab 9 (Due: Apr 16) --- Example 9

Useful Commands :

1. matplotlib notebook ---- for calclab desktop to plot (probably not necessary on your laptop

2. init_printing()----for pretty printing

3. symbols: https://docs.sympy.org/latest/tutorial/intro.html#a-more-interesting-example

(NOTE: For the case we need to assume x is positive, simply add the option positive=True in the symbols command will take care of this).

1. print: https://docs.python.org/3/library/functions.html#print

2. plot (symbolic): https://docs.sympy.org/latest/modules/plotting.html#plotting-function-reference

3. plot (numeric) [The "shortcut command" to call matplotlib.pyplot.plot: "as plt"]: https://matplotlib.org/tutorials/introductory/pyplot.html

4. extend: https://docs.sympy.org/latest/modules/plotting.html#sympy.plotting.plot.Plot.extend

5. evalf: https://docs.sympy.org/latest/tutorial/basic_operations.html#evalf

6. for: (list comprehension) https://docs.python.org/3/tutorial/datastructures.html#list-comprehensions

7. while(): https://docs.python.org/3/reference/compound_stmts.html#the-while-statement

8. append(): https://docs.python.org/3/tutorial/introduction.html?highlight=append#lists

9. limit(): https://docs.sympy.org/latest/tutorial/calculus.html#limits

10. .simplify(): https://docs.sympy.org/latest/tutorial/simplification.html#simplify

11. summation() [symbolic summation to obtain the partial sums of the power series ]: https://docs.sympy.org/latest/modules/concrete.html#sympy.concrete.summations.summation

Recitation

• 35 minutes reviewing the material, and then 15 minutes for the quiz.

• The review problems will be extracted from WebAssign practice problems.

• Email me any specific homework questions you may have before recitation class at wangmin@math.tamu.edu.