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Mathematics in Context: Liberal Arts Math Study Guide

Study Guide - Learn with Videos

Curated lessons matched to your uploaded material – learn every topic step by step.

Basic Set Concepts and Notation

  • Guided course
    Roster Method Example 1
    01:29
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    Roster Method Example 2
    03:58
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    Basic Set Concepts
    04:18

Subsets

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    Subsets
    06:24
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    Venn Diagrams
    04:55
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    Venn Diagrams Example 1
    04:01

Complement of a Set

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    Complement of a Set
    05:38

Intersections and Unions

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    Unions
    05:28
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    Unions Example 3
    05:20
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    Multiple Set Operations
    06:11

Venn Diagrams and Operations with Three Sets

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    Venn Diagrams and Operations with Three Sets
    05:55
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    Venn Diagrams and Operations with Three Sets Example 1
    04:15

Set Applications: Survey Problems

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    Intro to Survey Problems
    03:16
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    Intro to Survey Problems Example 1
    03:11
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    Creating Venn Diagrams for Survey Problems
    05:58

Estimation and Graphs

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    Estimation and Problem Solving Example 1
    04:40
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    Estimation with Data and Graphs Example 4
    02:18
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    Estimation and Problem Solving
    05:33

Problem Solving

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    Steps of Problem Solving
    06:55
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    Steps of Problem Solving Example 3
    04:19
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    Steps of Problem Solving Example 1
    04:09

Preference Ballots and the Plurality Method

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    Preference Ballots
    06:04
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    Preference Ballots Example 1
    05:00
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    Preference Ballots Example 3
    03:59

Borda Count Method

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    Borda Count Method
    05:07
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    Borda Count Method Example 1
    07:27

Plurality With Elimination Method

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    Plurality With Elimination Method Example 1
    07:12
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    Plurality With Elimination Method
    05:04

Pairwise Comparison Method

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    Pairwise Comparison Method
    06:30
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    Pairwise Comparison Method Example 1
    06:40

Fairness Criterion

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    Head-to-Head (Condorcet) Criterion Example 3
    06:37
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    Majority Criterion Example 1
    03:14
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    Head-to-Head (Condorcet) Criterion
    05:06

Intro to Apportionment

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    Apportionment Problem
    04:42
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    Apportionment Problem Example 4
    02:37
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    Standard Divisor and Standard Quota
    05:56

Hamilton's Method

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    Hamilton's Method
    06:00
  • Guided course
    Hamilton's Method Example 1
    05:14

Jefferson's Method

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    Jefferson's Method
    04:59
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    Jefferson's Method Example 1
    06:29

Alabama Paradox

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    Alabama Paradox
    05:38
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    Alabama Paradox Example 1
    07:12

Intro to Functions and Notation

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    Function Notation
    05:50
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    Intro to Relations and Functions
    04:41
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    Function Notation Example 3
    04:20

Domain and Range

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    Domain and Range
    05:08
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    Domain and Range Example 1
    02:49

Hindu-Arabic Numeration System

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    Hindu-Arabic Numeration System
    05:55

Integers & the Order of Operations

  • Guided course
    Intro to Exponents Example 2
    00:51
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    Intro to Exponents Example 3
    00:50
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    Intro to Exponents Example 1
    02:43

Rational Numbers

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    Simplify Fractions (Write Fractions in Lowest Terms)
    06:15
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    Intro to Fractions Example 1
    03:42
  • Guided course
    Types of Fractions
    05:25

Exponent Rules

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    Negative Exponents
    04:10
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    The Product Rule for Exponents Example 1
    01:20
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    The Power Rule for Exponents
    03:08

Evaluating Algebraic Expressions

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    Evaluating Expressions
    05:22
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    Evaluating Expressions Example 1
    01:14
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    Evaluating Expressions Example 3
    03:39

Simplifying Algebraic Expressions

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    Like Terms Example 3
    01:21
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    The Distributive Property
    05:53
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    Like Terms
    06:52

Linear Equations

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    Word Problem Solving Strategy Example 1
    04:04
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    Word Problem Solving Strategy
    07:08
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    Introduction to Solving Linear Equations
    07:48

Linear Inequalities in One Variable

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    Interval Notation
    05:18
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    Linear Inequalities
    06:07
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    Solving Three Part Inequalities
    05:13

Rectangular Coordinate System

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    Graphing Equations of Two Variables by Plotting Points
    04:29
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    Graphs & the Rectangular Coordinate System Example 2
    02:44
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    Graphs & the Rectangular Coordinate System
    05:10

Using Intercepts to Graph Lines

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    Graphing Intercepts
    04:08

Slope and Slope-Intercept Form

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    Finding the Slope of a Line Example 3
    04:19
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    Slope-Intercept Form
    03:56
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    Types of Slope
    05:17

Systems of Linear Equations

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    Determining Number of Solutions in a System
    06:06
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    Solving Systems of Linear Equations - Substitution
    5:48
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    Solving Systems of Equations - Elimination
    6:48

Systems of Linear Inequalities

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    Graphing Linear Inequalities in Two Variable
    7:02
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    Graphing Systems of Linear Inequalities
    06:26
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    Graphing Systems of Linear Inequalities Example 2
    06:50