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Study Guides

Math for Liberal Arts: Co-requisite Course

Course Contents

Why learn about set theory and logic?
Learning Outcomes
Set Theory Basics
Entering Answers for Practice Problems
Logic Basics

Module 1: Review

Analyzing Arguments With Logic
Why review topics from earlier math classes?*
Discussion: Set Theory
Order of Operations*
Discussion: Logic
Arithmetic With Fractions*
Assignment: Set Theory Problem Set
Properties of Real Numbers*
Assignment: Logic Writing Task
Solve Multi-Step Linear Equations*
Assignment: Electoral College Trouble
Problem Solving*
Putting It Together: Set Theory and Logic

Module 2: Linear Functions

Module 9: Voting Theory

Why learn about linear functions?*
Why learn about voting theory?
Characteristics of Linear Functions and Their Graphs*
Preference Ballot Voting
Equations of Linear Functions*
Approval Voting
Piecewise Linear Functions*
Discussion: Voting Theory
Algebra of Functions*
Assignment: Voting Theory Writing Task

Module 3: Exponents and Scientific Notation

Putting It Together: Voting Theory
Why learn about exponents?*

Module 10: Finance

Exponent Rules*
Why learn about finance?
Scientific Notation*
Simple and Compound Interest

Module 4: Exponential and Logarithmic Functions

Annuities and Loans
Why learn about exponential and logarithmic functions?*
Discussion: Finance
Logarithmic Functions*
Assignment: Finance Writing Task
Exponential Functions*
Assignment: Finance Problem Set

Module 5: Exponential and Logarithmic Equations

Putting It Together: Finance
Why learn about exponential and logarithmic equations?*

Module 11: Probability

Properties of Logarithms*
Why learn about probability?
Exponential and Logarithmic Equations*
Computing the Probability of an Event
Exponential Growth and Decay*
Applications With Probability

Module 6: Counting Systems and Geometry

Discussion: Probability
Why learn about counting systems?
Assignment: Probability Problem Set
Early Counting Systems
Assignment: Probability Writing Task
Positional Systems and Bases
Putting It Together: Probability
Proportional Relationships and a Bit of Geometry

Additional Content and Resources

Solving Problems With Math
Discussion: Final Reflection
Discussion: Historical Counting Systems
Why It Matters: Graph Theory
Assignment: Historical Counting Systems Problem Set
Graph Theory Basics
Assignment: Historical Counting Systems Writing Task
Euler and Hamiltonian Paths and Circuits
Assignment: Exploring the Abacus
Putting It Together: Graph Theory
Why It Matters: General Problem Solving
Discussion: Graph Theory
Discussion: Application of Geometry
Assignment: Graph Theory
Assignment: Geometry Writing Task, Part I
Assignment: Euler and Hamiltonian Circuits
Assignment: Geometry Writing Task, Part II
Why It Matters: Fractals
Discussion: Problem Solving Application
Fractal Basics
Assignment: General Problem Solving Problem Set
Fractals Generated by Complex Numbers
Assignment: General Problem Solving Writing Task
Putting It Together: Fractals
Assignment: Multi-Step Written Problem
Discussion: Chaos
Putting It Together: General Problem Solving
Assignment: Fractals Problem Set

Module 7: Measurement

Assignment: Fractals Generated With Positive Exponents
Why learn about measurement?
Why It Matters: Growth Models
U.S. Units of Measurement
Assignment: Growth Models Problem Set
Systems and Scales of Measurement
Assignment: Growth Models Writing Task
Discussion: Measurement
Assignment: Average Daily Balance
Assignment: Measurement Writing Task
Assignment: Collecting Data Problem Set
Assignment: Unit Conversion
Discussion: Describing Data
Putting It Together: Measurement
Assignment: Describing Data Problem Set

Module 8: Set Theory and Logic

Assignment: Describing Data Writing Task