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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
PDF and EPUB Files
Categorizing Data

General Problem Solving

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

Geometry

Exercises
Module 2 Overview

Probability

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

Set Theory

Supplemental Videos
Module 3 Overview
Exercises
Set Theory

Growth Models

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

Logic

Finance

Module 4 Overview
Simple Interest
Logic
Compound Interest
Truth Tables and Analyzing Arguments: Examples
Annuities
Truth Tables: Conjunction and Disjunction
Payout Annuities
Truth Tables: Implication
Loans
Analyzing Arguments with Truth Tables
Remaining Loan Balance
Negating "all," "some," or "no" statements
Which Equation to Use?
Discuss: Truth Table Practice
Solving for Time
Discuss: Logic Application
Exercises

Numeration Systems

Describing Data

Module 5 Overview
Presenting Categorical Data Graphically
Numeration
Presenting Quantitative Data Graphically
Supplemental Videos
Measures of Central Tendency
Binary, Octal, and Hexadecimal
Measures of Variation
Discuss: Numeration Application
Exercises

Consumer Math

Sets

Module 6 Overview
Basics
Consumer Math
Union, Intersection, and Complement
Supplemental Videos
Venn Diagrams
Average Daily Balance
Cardinality
How an Amortization Schedule is Calculated
Exercises
Discuss: Consumer Math Application