RobertTalbert

# The first recursive function we saw. 
# Turns out it has the closed formula f(n) = n(n+2) although we didn't prove it. 

def f(n): 
    if n == 0: return 0
    else: return f(n-1) + 2*n + 1
    
# AKA the factorial function: 

def g(n): 

RobertTalbert

\section{Appendix B: MTH 225 Learning Targets}
\label{sec:learning-targets}

\begin{subsubsection}{Module 1: Computer Arithmetic}
\begin{description}
\tightlist
    \item[CA.1] \textbf{(CORE)} \ I can represent an integer in base 2, 8, 10, and 16 and represent a negative integer in base 2 using two's complement notation.
    \item[CA.2] I can perform addition, subtraction, multiplication, and division in binary. 
\end{description}

RobertTalbert

Course module structure: The course content is split up into five modules:

• Module 1: Computer arithmetic. Representing integers in binary, octal, and hexadecimal; binary arithmetic; the Division Algorithm and modular arithmetic.

• Module 2: Logic. Logical propositions, conditional statements, truth tables, predicates, and quantification.

RobertTalbert

Course-level learning objectives: Upon completion of MTH 225, you will be able to:

• Represent integers using different number bases, and perform integer arithmetic using different bases and modular arithmetic.

• Formulate, manipulate, and determine the truth of logical expressions using symbolic logic.

• Formulate and solve computational problems using sets and functions.

RobertTalbert

MTH 225 Learning Objectives

By module

• Module 1: Arithmetic
  • Given an integer in base 2, 8, 10, or 16, represent it using another base.
  • Add, subtract, multiply, and divide integers in base 2, 8, and 16.
  • Use two's complement to represent a negative integer in binary.
• State the Division Algorithm and use it to find the quotient and remainder when dividing one positive integer by another.

RobertTalbert

# Code for generating Five-Question Summary reports. 

# Import basic packages
import pandas as pd
import matplotlib.pyplot as plt
import numpy as np

# Read in student response data; change name of file as needed
col_names = ["Challenge", "Support", "Competence", "Autonomy", 
             "Relatedness"]

RobertTalbert

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RobertTalbert

def fib(n):
  if n == 0 or n == 1: 
    return 1
  else:
    return fib(n-1) + fib(n-2)

RobertTalbert

def A(n):
  if n == 1: 
    return 1
  elif n == 2:
    return 4
  else:
    return A(n-1) + 2*A(n-2)

RobertTalbert

## Generates a random weighted undirected graph. 
## n = number of nodes
## p = probability that two nodes are adjacent; must be between 0 and 1. 
## lower_weight and upper_weight = lower and upper edge weights, respectively. If left out, the defaults are 1 and 100. 
##
## Examples of usage: 
##  g = random_weighted_graph(20, 0.5) <-- Uses default lower and upper weights of 1 and 100. 
##  h = random_weighted_graph(10, 0.35, 5, 50) <-- Weights will be integers between 5 and 50. 
##  g.show(edge_labels = True) <-- Include the argument to display the weights
##  h.show() <-- leave the argument out to hide the weights