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Study Guides

Mathematics for the Liberal Arts

Math for Liberal Arts

Discuss: Final Reflection
Course Overview

Statistics

Table of Contents
Module Overview
Sample Syllabus
Populations and Samples

General Problem Solving

Categorizing Data
Module 1 Overview
Sampling Methods
Discuss: Introduce Yourself to the Class
How to Mess Things Up Before You Start
Problem Solving
Experiments
Supplemental Videos
Describing Data
Optional Discussion Boards
Understanding Normal Distribution
Discuss: Problem Solving Application
The Empirical Rule
Discuss: Math Editor Practice (Blackboard)
Z-Scores
Problem Solving Exercises
Regression and Correlation

Geometry

Supplemental Videos
Module 2 Overview
Exercises
Perimeter and Area

Probability

Triangles
Introduction
Volume
Basic Concepts
Surface Area
Working with Events
Graph Theory
Bayes Theorem
Supplemental Videos
Expected Value
Topology, Tiling, and Non-Euclidean Geometry
Probability Reading II
Discuss: Application of Geometry
Calculating the Odds of an Event

Set Theory

How to Calculate the Odds of Winning the Lottery
Module 3 Overview
Supplemental Videos
Set Theory
Exercises
Supplemental Videos

Growth Models

Verbal, Roster, and Set-Builder Notation for a Set
Linear (Algebraic) Growth
Consider a Set
Exponential (Geometric) Growth
Helpful Links
Solve Exponentials for Time: Logarithms
Discuss: Application of Set Theory
Logistic Growth

Logic

Exercises
Module 4 Overview

Finance

Logic
Simple Interest
Truth Tables and Analyzing Arguments: Examples
Compound Interest
Truth Tables: Conjunction and Disjunction
Annuities
Truth Tables: Implication
Payout Annuities
Analyzing Arguments with Truth Tables
Loans
Negating "all," "some," or "no" statements
Remaining Loan Balance
Discuss: Truth Table Practice
Which Equation to Use?
Discuss: Logic Application
Solving for Time

Numeration Systems

Exercises
Module 5 Overview

Describing Data

Numeration
Presenting Categorical Data Graphically
Supplemental Videos
Presenting Quantitative Data Graphically
Binary, Octal, and Hexadecimal
Measures of Central Tendency
Discuss: Numeration Application
Measures of Variation

Consumer Math

Exercises
Module 6 Overview

Sets

Consumer Math
Basics
Supplemental Videos
Union, Intersection, and Complement
Average Daily Balance
Venn Diagrams
How an Amortization Schedule is Calculated
Cardinality
Discuss: Consumer Math Application
Exercises