MATH 123: Applied Business Mathematics (CCSU)

Tim Brzezinski, Aug 25, 2017

Contains applets we'll use in MATH 123: Applied Business Mathematics (CCSU).

Table of Contents

  1. Linear Equations
    1. Plotting Points (x,y): Dynamic Illustration
    2. Plotting Points (x,y): Quiz
    3. Rant Rant Rant Rant!
    4. Linear Equation Generator
    5. Slope: Intuitive Introduction
    6. Slope (Quiz) I
    7. Slope: Intuitive Intro and Exploration
    8. Slope: Alternate Interpretation
    9. Slope (Quiz) II
    10. Finding Slope Given 2 Points: Question Generator
    11. Rise & Run (Revamped)
    12. Equation of a Line: Dynamic Illustrator
    13. Graphing Linear Equations: Question Generator (V3)
    14. Writing the Equation of a Line (I-VA)
    15. Writing the Equation of a Line Given a Slope & Point (V1)
    16. Writing the Equation of a Line Given Both Intercepts
    17. Quiz: Application Problems - Writing Linear Equations Given 2 Points
    18. Writing Linear Equations Given 2 Points (y-int = integer)
    19. Standard Form to Slope-Intercept Form (Rewriting Linear Equations)
    20. Modeling Linear Growth (and Systems Introduction)
    21. Quiz: Modeling with Linear Functions
    22. Application Problems: Solving Linear Equations (5)
    23. Solving Linear Systems Graphically
    24. Solving Linear Systems by Graphing: REVAMPED
    25. Parallel Consequence? (VB)
    26. Perpendicular Lines Investigation (VB)
    27. Writing Equations of Parallel and Perpendicular Lines
    28. Color-Coded Linear Regression (Intro)
    29. Linear Regression Template
  2. Systems of Linear Equations; Matrices
    1. Solving Linear Systems Algebraically: Quiz (V1)
    2. Solving Linear Systems Algebraically: Quiz (V2)
    3. Solving Linear Systems Algebraically: Quiz (V3)
  3. Linear Programming: Geometric Approach
    1. Linear Inequalities of 2 Variables: Illustrator
    2. Inequalities in Standard Form (Illustrator)
    3. Solutions to Linear Inequalities
    4. Graphing Linear Inequalities with 2 Variables (Quiz)
    5. Graphing Linear Inequalities Written in Standard Form (Quiz)
    6. Feasible Region Graphing Aid (II)
    7. Linear Programming Illustration (1)
    8. Linear Programming Illustration (2)
    9. REVAMPED: Modifiable Feasible Set Grapher (Linear Programming)
    10. Linear Programming: Problem 1
    11. Linear Programming: Problem 2
  4. Functions and Their Graphs
    1. Functions: Input and Output (I)
    2. Functions: Input & Output (II)
    3. Functions: Input & Output (3)
    4. Functions: Input & Output (4)
    5. Function Or Not?
    6. Domain & Range: Illustrated
    7. Domain & Range Illustrator
    8. Function Behavior
    9. Evaluating Functions Algebraically
    10. Evaluating Functions Using Graphs (Quiz)
    11. Quick Intercepts Illustrator
    12. Average Rate of Change of a Function: Dynamic Illustration
    13. Quiz: Average Rate of Change of a Function (1)
    14. Quiz: Average Rate of Change (2)
    15. Quiz: Average Rate of Change of a Function (3)
  5. Classes of Functions
    1. IRS Tax Function (2016) for Tax Payers Filing Single
    2. Basic Quadratic Function (I)
    3. Quadratic Function
    4. Basic Quadratic Function (II)
    5. Solving Quadratic Equations Using Quadratic Formula (Quiz)
    6. Rational Function Grapher
    7. Exponential Functions: Graphs
    8. Quiz: Writing Exponential Growth & Decay Functions
    9. Logarithmic Functions: Graphs
    10. Compound Interest Investigation: Earning Money
    11. Compound Interest Investigation: Credit Card Debt
  6. Limits & Continuity
    1. Limits: Introductory Questions
    2. One Special Limit
  7. Derivatives: Introduction & Intuition
    1. Average Rate of Change of a Function: Dynamic Illustration
    2. Average to Instantaneous Rate of Change
    3. Marginal Revenue, Cost, Profit: Analysis Problem 1
    4. Drawing Derivatives
    5. Constructing Graphs of Derivative Functions (Intuitively)
    6. Average Rate of Change vs. Instantaneous Rate of Change
    7. Derivatives (Intro)-1
    8. Derivatives (Intro)-2
    9. Derivative Function: Without Words
    10. Graphing The Derivative of a Function
    11. 3-Way Color-Changing Derivative Grapher
    12. When does f'(x) = f(x)?
    13. Mean Value Theorem
    14. Mean Value Theorem (Without Words)

1.

Linear Equations

  • 1. Plotting Points (x,y): Dynamic Illustration
  • 2. Plotting Points (x,y): Quiz
  • 3. Rant Rant Rant Rant!
  • 4. Linear Equation Generator
  • 5. Slope: Intuitive Introduction
  • 6. Slope (Quiz) I
  • 7. Slope: Intuitive Intro and Exploration
  • 8. Slope: Alternate Interpretation
  • 9. Slope (Quiz) II
  • 10. Finding Slope Given 2 Points: Question Generator
  • 11. Rise & Run (Revamped)
  • 12. Equation of a Line: Dynamic Illustrator
  • 13. Graphing Linear Equations: Question Generator (V3)
  • 14. Writing the Equation of a Line (I-VA)
  • 15. Writing the Equation of a Line Given a Slope & Point (V1)
  • 16. Writing the Equation of a Line Given Both Intercepts
  • 17. Quiz: Application Problems - Writing Linear Equations Given 2 Points
  • 18. Writing Linear Equations Given 2 Points (y-int = integer)
  • 19. Standard Form to Slope-Intercept Form (Rewriting Linear Equations)
  • 20. Modeling Linear Growth (and Systems Introduction)
  • 21. Quiz: Modeling with Linear Functions
  • 22. Application Problems: Solving Linear Equations (5)
  • 23. Solving Linear Systems Graphically
  • 24. Solving Linear Systems by Graphing: REVAMPED
  • 25. Parallel Consequence? (VB)
  • 26. Perpendicular Lines Investigation (VB)
  • 27. Writing Equations of Parallel and Perpendicular Lines
  • 28. Color-Coded Linear Regression (Intro)
  • 29. Linear Regression Template

1.1.

Plotting Points (x,y): Dynamic Illustration

[b][color=#000000]A COORDINATE is a NUMBER or a LETTER that indicates LOCATION. [/color][/b][color=#000000][br]Did you ever play Milton Bradley's game [/color][b][color=#000000]Battleship[/color][/b][color=#000000] as a kid? [br]If so, you dealt with coordinates! "A5" was either a "hit" or a "miss", right? [br]In this game, the "A" and the "5" are called coordinates. [br][br]Your mobile device can indicate your latitude and longitude. [br][b]LATITUDE and LONGITUDE[/b] are numbers that help tell a person his/her [b]LOCATION.[/b] [br]Thus, [b]LATITUDE and LONGITUDE[/b] are said to form a pair of [b]COORDINATES. [/b] [br] [br][/color]Note the coordinate plane below. [color=#0000ff]Press the [/color][color=#38761d]"New Example"[/color][color=#0000ff] button. After doing so press [/color][color=#bf9000]"Plot Point"[/color][color=#0000ff]. [br][/color]Be sure to watch the specific dynamics of how to plot a point correctly. Repeat the [b][color=#0000ff]colored step[/color][/b] above approximately 10 times. [color=#000000]Then, go to the link indicated below the applet. [/color]
[color=#000000]Once you're confident in your ability to plot a point given its coordintes, [url=https://www.geogebra.org/m/AbRPAY8V]click here[/url] to put into practice what you've just learned! [/color]
– Tim Brzezinski

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2.

Systems of Linear Equations; Matrices

  • 1. Solving Linear Systems Algebraically: Quiz (V1)
  • 2. Solving Linear Systems Algebraically: Quiz (V2)
  • 3. Solving Linear Systems Algebraically: Quiz (V3)

2.1.

Solving Linear Systems Algebraically: Quiz (V1)

[b]Directions:[/b][br][br]On a separate sheet of paper, solve the system of linear equations shown in the upper right hand corner of the applet. Once you obtain your solution, move the BIG WHITE POINT (shown in the coordinate plane on the left) to the location of the solution of this system. [br][br][color=#ff7700][b]If you solve this system correctly, the applet will automatically notify you. [/b][/color][br][br][color=#0000ff][i]Generate as many practice problems as you need in order to master this concept! [/i][/color]
– Tim Brzezinski

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3.

Linear Programming: Geometric Approach

  • 1. Linear Inequalities of 2 Variables: Illustrator
  • 2. Inequalities in Standard Form (Illustrator)
  • 3. Solutions to Linear Inequalities
  • 4. Graphing Linear Inequalities with 2 Variables (Quiz)
  • 5. Graphing Linear Inequalities Written in Standard Form (Quiz)
  • 6. Feasible Region Graphing Aid (II)
  • 7. Linear Programming Illustration (1)
  • 8. Linear Programming Illustration (2)
  • 9. REVAMPED: Modifiable Feasible Set Grapher (Linear Programming)
  • 10. Linear Programming: Problem 1
  • 11. Linear Programming: Problem 2

3.1.

Linear Inequalities of 2 Variables: Illustrator

Suppose we graph the inequality [math]y>\frac{1}{2}x+2[/math]. This graph can be described as
Suppose we graph the inequality [math]y<\frac{1}{2}x+2[/math]. This graph can be described as
Suppose we graph the inequality [math]y\le\frac{1}{2}x+2[/math]. This graph can be described as
Suppose we graph the inequality [math]y\ge\frac{1}{2}x+2[/math]. This graph can be described as
– Tim Brzezinski

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4.

Functions and Their Graphs

  • 1. Functions: Input and Output (I)
  • 2. Functions: Input & Output (II)
  • 3. Functions: Input & Output (3)
  • 4. Functions: Input & Output (4)
  • 5. Function Or Not?
  • 6. Domain & Range: Illustrated
  • 7. Domain & Range Illustrator
  • 8. Function Behavior
  • 9. Evaluating Functions Algebraically
  • 10. Evaluating Functions Using Graphs (Quiz)
  • 11. Quick Intercepts Illustrator
  • 12. Average Rate of Change of a Function: Dynamic Illustration
  • 13. Quiz: Average Rate of Change of a Function (1)
  • 14. Quiz: Average Rate of Change (2)
  • 15. Quiz: Average Rate of Change of a Function (3)

4.1.

Functions: Input and Output (I)

– Tim Brzezinski

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5.

Classes of Functions

  • 1. IRS Tax Function (2016) for Tax Payers Filing Single
  • 2. Basic Quadratic Function (I)
  • 3. Quadratic Function
  • 4. Basic Quadratic Function (II)
  • 5. Solving Quadratic Equations Using Quadratic Formula (Quiz)
  • 6. Rational Function Grapher
  • 7. Exponential Functions: Graphs
  • 8. Quiz: Writing Exponential Growth & Decay Functions
  • 9. Logarithmic Functions: Graphs
  • 10. Compound Interest Investigation: Earning Money
  • 11. Compound Interest Investigation: Credit Card Debt

5.1.

IRS Tax Function (2016) for Tax Payers Filing Single

Be sure to ZOOM OUT and scroll to the right as you complete the investigation questions about this function!
– Tim Brzezinski

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6.

Limits & Continuity

  • 1. Limits: Introductory Questions
  • 2. One Special Limit

6.1.

Limits: Introductory Questions

The questions you need to answer are contained in the applet below.
– Tim Brzezinski

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7.

Derivatives: Introduction & Intuition

  • 1. Average Rate of Change of a Function: Dynamic Illustration
  • 2. Average to Instantaneous Rate of Change
  • 3. Marginal Revenue, Cost, Profit: Analysis Problem 1
  • 4. Drawing Derivatives
  • 5. Constructing Graphs of Derivative Functions (Intuitively)
  • 6. Average Rate of Change vs. Instantaneous Rate of Change
  • 7. Derivatives (Intro)-1
  • 8. Derivatives (Intro)-2
  • 9. Derivative Function: Without Words
  • 10. Graphing The Derivative of a Function
  • 11. 3-Way Color-Changing Derivative Grapher
  • 12. When does f'(x) = f(x)?
  • 13. Mean Value Theorem
  • 14. Mean Value Theorem (Without Words)

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– Tim Brzezinski

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