### Math

PLATO Tutorials: Mathematics MATH 120 – College Mathematics

1. Data Skills

o Reading Graphical Data

Reading Pie Charts

Introduction to Bar Graphs Reading Bar Graphs

Introduction to Data in Tables Reading Data in Tables

o Computing Graphical Data

Graphing and Charting Tables

Using Bar Graphs Using Pie Charts Using Histograms

o Reading Complex Charts and Graphs

Reading Histograms Reading Complex Tables

o Constructing Graphs and Charts

Constructing Pie Charts Constructing Bar Graphs Constructing Histograms 2. Algebra 1, Part 1

o Special Topics

Mean, Median, and Mode

Probability and Possible Outcomes Probability of an Event

o Equations and Formulas

Literal Equations

Adapting and Using Formulas 3. Algebra 2, Part 1

o Probability

Chance Experiments and Probability Determining the Probability of an Event Multiplication Principle of Counting Review: Probability

4. Algebra 1, Part 2

o Sets and Numbers

Basic Set Concepts: Elements in a Set Basic Set Concepts: Finite or Infinite Basic Set Concepts: Subsets

Basic Set Concepts: Roster and Set-builder Forms Union of Two Sets

Intersection of Two Sets

o Polynomials and Factoring

Value of a Polynomial Polynomial Sum Polynomial Difference

Product of a Monomial and Polynomial Simplifying Polynomial Expressions Product of Polynomials

Quotient of a Monomial and Polynomial

o Equations and Inequalities

Simple Equations bin 1 Variable: Isolating the Variable More Difficult Linear Equations in 1 Variable

Solving Problems with Linear Equation in 1 Variable Linear Inequalities in 1 Variable, Part 1

Linear Inequalities in 1 Variable, Part 2 Linear Inequalities in 1 Variable, Part 3 Quadratic Formula

5. Trigonometry

o Trigonometric Functions

Right Angle Trigonometry MATH 320 – Introduction to Statistics

1. Data Skills

o Reading Graphical Data

Reading Pie Charts

Introduction to Bar Graphs Reading Bar Graphs

Introduction to Data in Tables Reading Data in Tables

o Computing Graphical Data

Graphing and Charting Tables

Using Bar Graphs Using Pie Charts Using Histograms

o Reading Complex Charts and Graphs

Reading Histograms Reading Complex Tables

o Constructing Graphs and Charts

Constructing Pie Charts Constructing Bar Graphs Constructing Histograms 2. Algebra 1, Part 1

o Special Topics

Mean, Median, and Mode

Probability and Possible Outcomes Probability of an Event

3. Algebra 2, Part 1

o Probability

Chance Experiments and Probability Determining the Probability of an Event Multiplication Principle of Counting Review: Probability

1. Algebra 1, Part 2 (New)

o Polynomials and Factoring

Product of Polynomials

Quotient of a Monomial and Polynomial Quotient of a Binomial and Polynomial Greatest Common Factor of Monomials Monomial Factors of Polynomials Binomial Factors of Polynomials, Part 1 Binomial Factors of Polynomials, Part 2 Factoring the Difference of 2 Squares Factoring Perfect Square Trinomials Factoring Trinomials, Part 1

Factoring Trinomials, Part 2

o Equations and Inequalities

Simple Equations in 1 Variable: Isolating the Variable More Difficult Linear Equations in 1 Variable

Linear Inequalities in 1 Variable, Part 1 Linear Inequalities in 1 Variable, Part 2 Linear Inequalities in 1 Variable, Part 3

Solving Quadratic Equations by Factoring, Part 1 Solving Quadratic Equations by Factoring, Part 2 Solving Quadratic Equations by Factoring, Part 3 Quadratic Formula

2. Algebra 2, Part 1

o Rational Expressions

Evaluating Rational Expressions Restrictions on Rational Expressions Equivalent Forms of Rational Expressions Simplifying Rational Expressions

Sum of Rational Expressions, Part 1 Difference of Rational Expressions, Part 1 Product of Rational Expressions

Quotient of Rational Expressions

Common Denominators of Rational Expressions Sum of Rational Expressions, Part 2

Difference of Rational Expressions, Part 2

o Graphs and Linear Equations

The Coordinate Plane Graphing Ordered Pairs

Solutions of Linear Equations as Ordered Pairs Graphing a Linear Equation in 2 Variables Graphing a Linear Inequality in 2 Variables Slope of a Line from 2 Points

The y-Intercept of a Line

Using the Slope and y-Intercept to Graph a Line Finding the Slope and y-Intercept from an Equation Writing Equations in Slope-Intercept Form

Identifying Graphs from Their Equations 3. Algebra 2, Part 2

o Numbers and Their Properties

Rules for Exponents and Radicals

Rationalizing the Denominator in Rational Expressions Applying Rules for Exponents and Radicals

Simplifying Algebraic Expressions Multiplying Algebraic Expressions Factoring Algebraic Expressions

Factoring or Using the Quadratic Formula Rational Expressions: Simplify

Rational Expressions: Add and Subtract Rational Expressions: Multiply and Divide

o Coordinates and Curves

Calculating the Slope of a Line

Point-Slope and Slope-Intercept Forms of Equations

o Functions and Their Graphs

Defining a Function with Its Rule

Finding Values of a Function Using Its Rule Equations and Graphs of Functions, Part 1 Equations and Graphs of Functions, Part 2 Translations and Transformations

Functional Values Composite Functions

Domain Values of Composite Functions Inverse of a Function

Determining if a Function Has an Inverse Solving Problems with Linear Functions Solving Problems with Quadratic Functions

o Exponential and Logarithmic Functions

Properties of Exponential Functions Properties of Logarithmic Functions Recognizing Graphs of Types of Functions Solving Problems: Exponential and Logarithmic Exponential Growth

Exponential Decay MATH 312 – Finite Mathematics

1. Algebra 2, Part 1

o Linear Systems of Equations and Inequalities

Solving Linear Systems of Equations: Graphs Classifying Linear Systems

Solving Linear Systems of Inequalities: Graphs Solving Linear Systems of Equations: Substitution Solving Linear Systems of Equations: Addition Solving Linear Systems of Equations: Matrices 1 Solving Linear Systems of Equations:

Matrices 2

Solving Problems with Linear Systems Review: Linear Systems

o Probability

Chance Experiments and Probability Determining the Probability of an Event Multiplication Principle of Counting Review: Probability

MATH 410 - Calculus 1. Calculus 1

o Limits I

Introduction to Limits - Tutorial Introduction to Limits - Exercises

Limits of Rational and Transcendental Functions - Tutorial Limits of Rational and Transcendental Functions - Exercises Limits at Infinity - Tutorial

Limits at Infinity - Exercises

o Limits II

Definition and Proofs of Limits - Tutorial Definition and Proofs of Limits - Exercises Use of Limit Theorems - Tutorial

Use of Limit Theorems - Exercises Continuity - Tutorial

Continuity - Exercises

o The Derivative

Derivative: Approximating Rates and Definition - Tutorial Derivative: Approximating Rates and Definition - Exercises Derivative: Instantaneous Rates - Tutorial

Derivative: Instantaneous Rates - Exercises.

o Techniques of Differentiation

Differentiation of Polynomials and Rational Functions - Tutorial

Differentiation of Polynomials and Rational Functions - Exercises

Uses of the First Derivative - Tutorial Uses of the First Derivative - Exercises The Second Derivative - Tutorial The Second Derivative - Exercises

o Chain Rule and Related Rates

Derivatives of Composite Functions - Tutorial Derivatives of Composite Functions - Exercises More on the Chain Rule - Tutorial

More on the Chain Rule - Exercises Implicit Differentiation - Tutorial Implicit Differentiation - Exercises Related Rates - Tutorial

Related Rates - Exercises

o Tangent Line Approximations and Differentials

Tangent Line Approximation - Tutorial Tangent Line Approximation - Exercises Differentials at a Point - Tutorial

Differentials at a Point - Exercises

o Applications of the First Derivative

The Behavior of a Function as Related to the Sign of the Derivative - Tutorial

The Behavior of a Function as Related to the Sign of the Derivative - Exercises

Finding Maxima and Minima of Functions - Tutorial Finding Maxima and Minima of Functions - Exercises

Concavity and the Second Derivative Test - Tutorial Concavity and the Second Derivative Test - Exercises Graphing Rational Functions - Tutorial

Graphing Rational Functions - Exercises Narrative Max-Min Problems - Tutorial Narrative Max-Min Problems - Exercises

o General Properties of Continuous and Differentiable Functions

Basic Theorems - Tutorial Basic Theorems - Exercises

o The Indefinite Integral

The Indefinite Integral: Physical and Geometrical Interpretation of the Antiderivative - Tutorial The Indefinite Integral: Physical and Geometrical

Interpretation of the Antiderivative – Exercises Integration by Substitution – Tutorial Integration by

Substitution -Exercises.

o The Definite Integral

Introduction to the Definite Integral: Approximations and Areas - Tutorial

Introduction to the Definite Integral: Approximations and Areas - Exercises

Introduction to the Definite Integral: Definition and Applications - Tutorial

Introduction to the Definite Integral: Definition and Applications - Exercises

o The Fundamental Theorem

The Fundamental Theorem of Calculus - Tutorial The Fundamental Theorem of Calculus - Exercises

Derivatives of Integrals with Functions as Limits - Tutorial Derivatives of Integrals with Functions as Limits - Exercises

o Geometrical Applications of the Definite Integral

Area Between Curves - Tutorial Area Between Curves - Exercises

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