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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