fix typos

Author: rsokl

Python/Module3_IntroducingNumpy/Broadcasting.md

@@ -296,7 +296,7 @@ Generate a random array of 10,000 2D points using `np.random.rand`. Compute the
 ### Inserting Size-1 Dimensions into An Array
 As conveyed by the broadcasting rules, dimensions of size-1 are special in that they can be broadcasted to any size. Here we will learn about introducing size-1 dimensions into an array, for the purpose of tailoring its shape for broadcasting. 
 
-You can introduce size-1 dimensions to an array without changing the overall size (i.e. total number of entries in an array. Thus we are free to add size-1 dimensions to an array via the `reshape` function. Let's reshape a shape-(3,) array into a shape-(1, 3, 1, 1) array:
+You can introduce size-1 dimensions to an array without changing the overall size (i.e. total number of entries in an array). Thus we are free to add size-1 dimensions to an array via the `reshape` function. Let's reshape a shape-(3,) array into a shape-(1, 3, 1, 1) array:
 ```python
 >>> import numpy as np
 
@@ -528,7 +528,7 @@ array([[ 3.678 ,  8.4524, 10.3057,  7.3711,  6.2152,  5.5548],
 
 <!-- #region -->
 ### Pairwise Distances Using Broadcasting (Unoptimized)
-Now, let's use of vectorization to perform this distance computation. It must be established immediately that the method that we about to develop here is memory-inefficient. We will address this issue in detail at the end of this subsection.  
+Now, let's make use of vectorization to perform this distance computation. It must be established immediately that the method that we are about to develop here is memory-inefficient. We will address this issue in detail at the end of this subsection.  
 
 We start off our vectorized computation by shrewdly inserting size-1 dimensions into `x` and `y`, so that we can perform $M \times N$ subtractions between their pairs of length-$D$ rows. *This creates a shape-*$(M, N, D)$ *array*.
 
@@ -652,7 +652,7 @@ In terms of pure mathematics, `x_y_sqrd - x_y_prod` must be a strictly non-negat
 \sum_{i=0}^{D-1}{(x_{i} - y_{i})^2}
 \end{equation}
 
-That being said, are working with floating-point numbers, which do not always behave exactly like rational numbers when we do arithmetic with them.
+That being said, we are working with floating-point numbers, which do not always behave exactly like rational numbers when we do arithmetic with them.
 Indeed, we saw earlier that the [quirks of floating-point arithmetic](https://www.pythonlikeyoumeanit.com/Module2_EssentialsOfPython/Basic_Objects.html#Understanding-Numerical-Precision) can lead to surprising results. 
 Here, the strange behavior is that `x_y_sqrd - x_y_prod` **can produce negative numbers**!
 

Python/Module4_OOP/Applications_of_OOP.md

@@ -30,7 +30,7 @@ Let's create a shopping list class, where an instance of this class stores a lis
 - mark items on the list as "purchased"
 - remove items, purchased or not, from the list
 - list the name of the items to-be purchased (in alphabetical order)
-- list the name of the items have been purchased (in alphabetical order)
+- list the name of the items that have been purchased (in alphabetical order)
 
 We do not want redundant items to be included on our shopping list - if someone enters "apples" twice, we should only list it once. Thus we will make use of [sets](http://www.pythonlikeyoumeanit.com/Module2_EssentialsOfPython/DataStructures_III_Sets_and_More.html#The-%E2%80%9CSet%E2%80%9D-Data-Structure), which store unique elements, to store the items on our list.
 

Python/Module4_OOP/ClassDefinition.md

@@ -22,7 +22,7 @@ jupyter:
 <!-- #region -->
 # Defining a New Class of Object
 
-This section will introduce the basic syntax for defining a new class (a.k.a. type) of  Python object. Recall that the phrase `def` is used to denote the definition of a function. Similarly, `class` is used to denote the beginning of a class definition. The body of the class definition, which is the indented region below a `class` statement, is used to define the class' various **attributes**.
+This section will introduce the basic syntax for defining a new class (a.k.a. type) of  Python object. Recall that the statement `def` is used to denote the definition of a function. Similarly, `class` is used to denote the beginning of a class definition. The body of the class definition, which is the indented region below a `class` statement, is used to define the class' various **attributes**.
 
 The following defines a new class of object, named `MyGuy`, specifying four attributes `x`, `y`, `z`, and `f`
 

Python/Module4_OOP/Inheritance.md

@@ -59,8 +59,8 @@ Having defined our subclass, we can leverage the other methods of `Rectangle` as
 # create a square of side-length 2
 >>> my_square = Square(2)
 
-# using the inherited `get_area` method
->>> my_square.get_area()
+# using the inherited `compute_area` method
+>>> my_square.compute_area()
 4
 
 # a square is a rectangle with equal height/width

Python/Module4_OOP/Methods.md

@@ -191,7 +191,6 @@ True
 # even when `class_func` is called from an instance
 >>> inst = Dummy()
 >>> inst.class_func()
->>> inst.class_func()
 __main__.Dummy
 ```
 <!-- #endregion -->