Mathematics for the Liberal Arts

Topic K: Finance

Course Overview

K1.01: Simple and Compound Interest

Table of Contents

K1.02: Savings Plans

Sample Syllabus

K1.03: Installment Loans

Module 1: General Problem Solving

K1.04: Exercises

Module 1 Overview

Topic M: Power Functions and Using Logarithmic Graphs

Discuss: Introduce Yourself to the Class

M1.01: Introduction

Problem Solving

M1.02: Power Models Part I

Test Page

M1.03: Power Models Part II

Supplemental Videos

M1.04: Why We Use Logarithms

Optional Discussion Boards

M1.05: Finding Logarithms

Discuss: Problem Solving Application

M1.06: Logarithmic Graphs Part I

Discuss: Math Editor Practice (Blackboard)

M1.07: Logarithmic Graphs Part II

Problem Solving Exercises

M1.08: Exercises

Module 3: Set Theory

Topic L: Automated Fitting of Models, Comparative Goodness of Fit, and Outliers

Module 3 Overview

L1.01: Overview

Set Theory

L1.02: Section 1

Supplemental Videos

L1.03: Section 2

Verbal, Roster, and Set-Builder Notation for a Set

L1.04: Section 3

Consider a Set

L1.05: Section 4

Helpful Links

L1.06: Section 5

Discuss: Application of Set Theory

L1.07: Section 6

Module 2: Geometry

L1.08: Section 7

Module 2 Overview

L1.09: Section 8

Perimeter and Area

L1.10: Exercises

Triangles

Topic H: Linear Formulas - Word Problems

Volume

H1.01: Overview

Surface Area

H1.02: Example 1

Graph Theory

H1.03: Example 2

Supplemental Videos

H1.04: Example 3

Topology, Tiling, and Non-Euclidean Geometry

H1.05: Example 3 Alternative Method

Discuss: Application of Geometry

H1.06: Example 4

Growth Models

H1.07: Interpreting the Slope and Intercept

Linear (Algebraic) Growth

H1.08: Exercises

Exponential (Geometric) Growth

Topic I: Linear and Quadratic Models

Solve Exponentials for Time: Logarithms

I1.01: Overview

Logistic Growth

I1.02: Section 1

Exercises

I1.03: Section 2

Module 4: Logic

I1.04: Section 3 Part 1

Module 4 Overview

I1.05: Section 3 Part 2

Logic

I1.06: Section 4

Truth Tables and Analyzing Arguments: Examples

I1.07: Section 5 Part 1

Truth Tables: Conjunction and Disjunction

I1.08: Section 5 Part 2

Truth Tables: Implication

I1.09: Section 6

Analyzing Arguments with Truth Tables

I1.10: Section 7

Negating "all," "some," or "no" statements

I1.11: Section 8

Discuss: Truth Table Practice

I1.12: Exercises

Discuss: Logic Application

Topic J: Exponential Models and Model Comparison Techniques

Finance

J1.01: Overview

Simple Interest

J1.02: Section 1 Part 1

Compound Interest

J1.03: Section 1 Part 2

Annuities

J1.04: Section 1 Part 3

Payout Annuities

J1.05: Section 1 Part 4

Loans

J1.06: Section 2 Part 1

Remaining Loan Balance

J1.07: Section 2 Example 6

Which Equation to Use?

J1.08: Section 3

Solving for Time

J1.09: Section 4 Part 1

Exercises

J1.10: Section 4 Part 2

Module 5: Numeration Systems

J1.11: Exercises

Module 5 Overview

Topic C: Communicating Precision of Approximate Numbers

Numeration

C1.01 Overview

Supplemental Videos

C1.02: Reporting

Binary, Octal, and Hexadecimal

C1.03: Rounding

Discuss: Numeration Application

C1.04: Precision

Module 6: Consumer Math

C1.05: Interval Part 1

Module 6 Overview

C1.06: Interval Part 2

Consumer Math

C1.07: Interval Part 3

Supplemental Videos

C1.08: Interval Part 4

Average Daily Balance

C1.09: Exercises

How an Amortization Schedule is Calculated

Topic E: Using a Spreadsheet

Discuss: Consumer Math Application

E1.01: Overview

Discuss: Final Reflection

E1.02: Section 2 Part 1

Sets

E1.03: Section 2 Part 2

Basics

E1.04: Section 2 Part 3

Union, Intersection, and Complement

E1.05: Graphs Part 1

Venn Diagrams

E1.06: Graphs Part 2

Cardinality

E1.07: Section 4

Exercises

E1.08: Section 5

Statistics

E1.09: Section 6 Part 1

Module Overview

E1.10: Section 6 Part 2

Populations and Samples

E1.11: Exercises

Categorizing Data

Topic O: Combining Modeling Formulas

Sampling Methods

O.01: Overview

How to Mess Things Up Before You Start

O.02: Section 1 Part 1

Experiments

O.03: Section 1 Part 2

Describing Data

O.04: Section 2

Understanding Normal Distribution

O.05: Section 3

The Empirical Rule

O.06: Section 4

Z-Scores

Topic N: Additional Useful Modeling Formulas

Regression and Correlation

N1.01: Overview

Supplemental Videos

N1.02: Section 1

Exercises

N1.03: Section 2 Part 1

Topic F: Using a Calculator

N1.04: Section 2 Part 2

F1.01 Beginning & Example 3

N1.05: Section 2 Part 3

F1.02: Examples 4-5

N1.06: Section 3 Part 1

F1.03: Example 6

N1.07: Section 3 Part 2

F1.04: Exercises

N1.08: Section 4

Describing Data

N1.09: Section 5

Presenting Categorical Data Graphically

N1.10: Exercises

Presenting Quantitative Data Graphically

Topic B: Solving Equations, Evaluating Expressions, and Checking Your Work

Measures of Central Tendency

B1.01: Introduction

Measures of Variation

B1.02: Section 1

Exercises

B1.03: Section 2

Topic G: Linear Equations - Algebra and Spreadsheets

B1.04: Section 3

G1.01: Intro & Slope

B1.05: Section 4

G1.02: Intercepts & Example 3

B1.06: Exercises

G1.03: Examples 4-7

Topic D: Formulas—Computing and Graphing

G1.04: Examples 8-14

D1.01: Introduction

G1.05: Exploring by Graphing Part I

D1.02: Examples 2–5

G1.06: Exploring by Graphing Part II

D1.03: Examples 6–9

G1.07: Section 4

D1.04: Examples 10–11

G1.08: Exercises

D1.05: Exercises