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Discrete Math II - 8.4.1 Readiness for Generating Functions: Model with Generating Functions

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Brace yourself. Section 8.4 is going to be with us for a while. This section has been broken up into 7 videos. The first four, including this video, are videos to help us understand all of the moving parts of generating functions. Much of what I cover is glossed over in the textbook. Feel free to skip over anything you already know from the "readiness" videos.
For this video, our focus is how to take application questions and model them using generating functions. This is an important step, but a fairly straightforward one.
Video Chapters:
Intro 0:00
Making Change Introduction 0:34
Modeling Making Change 1:18
Next Steps for Making Change 3:14
Linear Equation Model Practice 5:21
M&M's Practice 7:06
Pennies Practice 10:49
Up Next 13:42
This playlist uses Discrete Mathematics and Its Applications, Rosen 8e
Power Point slide decks to accompany the videos can be found here:
The entire playlist can be found here:
For this video, our focus is how to take application questions and model them using generating functions. This is an important step, but a fairly straightforward one.
Video Chapters:
Intro 0:00
Making Change Introduction 0:34
Modeling Making Change 1:18
Next Steps for Making Change 3:14
Linear Equation Model Practice 5:21
M&M's Practice 7:06
Pennies Practice 10:49
Up Next 13:42
This playlist uses Discrete Mathematics and Its Applications, Rosen 8e
Power Point slide decks to accompany the videos can be found here:
The entire playlist can be found here:
Discrete Math II - 8.4.1 Readiness for Generating Functions: Model with Generating Functions
Discrete Math II - 8.1.1 Applications of Recurrence Relations
Discrete Math II - 8.2.1 Solving First-Order Linear Homogeneous Recurrence Relations
Discrete Math II - 8.4.2 Readiness for Generating Functions - Power Series and Fundamental Identity
Discrete Math II - 8.5.1 The Principle of Inclusion-Exclusion
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Composition of relations | MISTAKE - explained RoS instead of SoR and vice versa | otherwise correct
Discrete Math II - 8.4.5 Solve Counting Problems with Generating Functions
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Discrete Math II - 8.6.4 Apply the Principle of Inclusion Exclusion: Derangements
Discrete Math II - 8.4.4 Readiness for Generating Functions: Binomial and Extended Binomial Theorem
Discrete Math II - 8.6.1 Apply the Principle of Inclusion-Exclusion: No Conditions Satisfied
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