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Study Guides

Mathematics for the Liberal Arts

Module 1: Historical Counting Systems

Discussion: Logic
Introduction
Assignment: Set Theory Problem Set
Entering Answers for Practice Problems
Assignment: Logic Writing Task
Early Counting Systems

Module 7: Voting Theory

Positional Systems and Bases
Introduction
Conclusion
Preference Ballot Voting
Discussion: Historical Counting Systems
Approval Voting
Assignment: Historical Counting Systems Problem Set
Conclusion
Assignment: Historical Counting Systems Writing Task
Discussion: Voting Theory
Assignment: Exploring the Abacus
Assignment: Voting Theory Writing Task

Module 2: General Problem Solving

Assignment: Electoral College Trouble
Introduction

Module 8: Growth Models

Proportional Relationships and a Bit of Geometry
Introduction
Solving Problems With Math
Linear and Geometric Growth
Conclusion
Logarithms and Logistic Growth
Discussion: Problem Solving Application
Conclusion
Discussion: Application of Geometry
Discussion: Growth Models
Assignment: General Problem Solving Problem Set
Assignment: Growth Models Problem Set
Assignment: General Problem Solving Writing Task
Assignment: Growth Models Writing Task
Assignment: Multi-Step Written Problem
Assignment: Average Daily Balance
Assignment: Geometry Writing Task, Part I

Module 9: Finance

Assignment: Geometry Writing Task, Part II
Introduction

Module 3: Measurement

Simple and Compound Interest
Introduction
Annuities and Loans
US Units of Measurement
Discussion: Finance
Systems and Scales of Measurement
Conclusion
Conclusion
Assignment: Finance Problem Set
Discussion: Measurement
Assignment: Finance Writing Task
Assignment: Unit Conversion

Module 10: Statistics - Collecting Data

Assignment: Measurement Writing Task
Introduction

Module 4: Graph Theory

Data Collection Basics
Introduction
Sampling and Experimentation
Graph Theory Basics
Conclusion
Euler and Hamiltonian Paths and Circuits
Discussion: Collecting Data
Conclusion
Assignment: Collecting Data Problem Set
Discussion: Graph Theory

Module 11: Statistics - Describing Data

Assignment: Euler and Hamiltonian Circuits
Introduction
Assignment: Graph Theory
Representing Data Graphically

Module 5: Fractals

Numerical Summaries of Data
Introduction
Conclusion
Fractal Basics
Discussion: Describing Data
Fractals Generated by Complex Numbers
Assignment: Describing Data Problem Set
Conclusion
Assignment: Describing Data Writing Task
Discussion: Chaos

Module 12: Probability

Assignment: Fractals Problem Set
Introduction
Assignment: Fractals Generated With Positive Exponents
Computing the Probability of an Event

Module 6: Set Theory and Logic

Applications With Probability
Introduction
Conclusion
Set Theory Basics
Discussion: Probability
Logic Basics
Assignment: Probability Problem Set
Analyzing Arguments With Logic
Assignment: Probability Writing Task
Conclusion
Discussion: Final Reflection
Discussion: Set Theory