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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