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Study Guides

Mathematics for the Liberal Arts

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
L1.03: Section 2
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

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
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
C1.02: Reporting


C1.03: Rounding
Simple Interest
C1.04: Precision
Compound Interest
C1.05: Interval Part 1
C1.06: Interval Part 2
Payout Annuities
C1.07: Interval Part 3
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
E1.02: Section 2 Part 1


E1.03: Section 2 Part 2
E1.04: Section 2 Part 3
Union, Intersection, and Complement
E1.05: Graphs Part 1
Venn Diagrams
E1.06: Graphs Part 2
E1.07: Section 4
E1.08: Section 5


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
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

Topic N: Additional Useful Modeling Formulas

Regression and Correlation
N1.01: Overview
Supplemental Videos
N1.02: Section 1
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
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