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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 2: Geometry

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

Module 2 Overview

L1.01: Overview

Perimeter and Area

L1.02: Section 1

Triangles

L1.03: Section 2

Volume

L1.04: Section 3

Surface Area

L1.05: Section 4

Graph Theory

L1.06: Section 5

Supplemental Videos

L1.07: Section 6

Topology, Tiling, and Non-Euclidean Geometry

L1.08: Section 7

Discuss: Application of Geometry

L1.09: Section 8

Module 3: Set Theory

L1.10: Exercises

Module 3 Overview

Topic H: Linear Formulas - Word Problems

Set Theory

H1.01: Overview

Supplemental Videos

H1.02: Example 1

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

H1.03: Example 2

Consider a Set

H1.04: Example 3

Helpful Links

H1.05: Example 3 Alternative Method

Discuss: Application of Set Theory

H1.06: Example 4

Module 4: Logic

H1.07: Interpreting the Slope and Intercept

Module 4 Overview

H1.08: Exercises

Logic

Topic I: Linear and Quadratic Models

Truth Tables and Analyzing Arguments: Examples

I1.01: Overview

Truth Tables: Conjunction and Disjunction

I1.02: Section 1

Truth Tables: Implication

I1.03: Section 2

Analyzing Arguments with Truth Tables

I1.04: Section 3 Part 1

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

I1.05: Section 3 Part 2

Discuss: Truth Table Practice

I1.06: Section 4

Discuss: Logic Application

I1.07: Section 5 Part 1

Module 5: Numeration Systems

I1.08: Section 5 Part 2

Module 5 Overview

I1.09: Section 6

Numeration

I1.10: Section 7

Supplemental Videos

I1.11: Section 8

Binary, Octal, and Hexadecimal

I1.12: Exercises

Discuss: Numeration Application

Topic J: Exponential Models and Model Comparison Techniques

Module 6: Consumer Math

J1.01: Overview

Module 6 Overview

J1.02: Section 1 Part 1

Consumer Math

J1.03: Section 1 Part 2

Supplemental Videos

J1.04: Section 1 Part 3

Average Daily Balance

J1.05: Section 1 Part 4

How an Amortization Schedule is Calculated

J1.06: Section 2 Part 1

Discuss: Consumer Math Application

J1.07: Section 2 Example 6

Discuss: Final Reflection

J1.08: Section 3

Growth Models

J1.09: Section 4 Part 1

Linear (Algebraic) Growth

J1.10: Section 4 Part 2

Exponential (Geometric) Growth

J1.11: Exercises

Solve Exponentials for Time: Logarithms

Topic C: Communicating Precision of Approximate Numbers

Logistic Growth

C1.01 Overview

Exercises

C1.02: Reporting

Finance

C1.03: Rounding

Simple Interest

C1.04: Precision

Compound Interest

C1.05: Interval Part 1

Annuities

C1.06: Interval Part 2

Payout Annuities

C1.07: Interval Part 3

Loans

C1.08: Interval Part 4

Remaining Loan Balance

C1.09: Exercises

Which Equation to Use?

Topic E: Using a Spreadsheet

Solving for Time

E1.01: Overview

Exercises

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