Mathematical modeling

Calculus of voting

Calculus of voting refers to any mathematical model which predicts voting behaviour by an electorate, including such features as participation rate. A calculus of voting represents a hypothesized decision-making process. These models are used in political science in an attempt to capture the relative importance of various factors influencing an elector to vote (or not vote) in a particular way. (Wikipedia).

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Calculus 1 Lecture 3.1: Increasing/Decreasing and Concavity of Functions

Calculus 1 Lecture 3.1: Discussion of Increasing and Decreasing Intervals. Discussion of Concavity of functions.

From playlist Calculus 1 (Full Length Videos)

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Calculus: Graphical Limits

In this video, we investigate how to compute limits of a function that is given graphically.

From playlist Calculus

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Calculus 2 Lecture 9.9: Approximation of Functions by Taylor Polynomials

Calculus 2 Lecture 9.9: Approximation of Functions by Taylor Polynomials

From playlist Calculus 2 (Full Length Videos)

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Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Functions

Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Functions

From playlist Calculus 1 (Full Length Videos)

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Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables

Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables

From playlist Calculus 2 (Full Length Videos)

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Calculus 1 Lecture 5.1: Finding Area Between Two Curves

Calculus 1 Lecture 5.1: Finding Area Between Two Curves

From playlist Calculus 1 (Full Length Videos)

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Calculus 1 Lecture 2.5: Finding Derivatives of Trigonometric Functions

https://www.patreon.com/ProfessorLeonard Calculus 1 Lecture 2.5: Finding Derivatives of Trigonometric Functions

From playlist Calculus 1 (Full Length Videos)

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Calculus - Find the limit of a function using epsilon and delta

This video shows how to use epsilon and delta to prove that the limit of a function is a certain value. This particular video uses a linear function to highlight the process and make it easier to understand. Later videos take care of more complicated functions and using epsilon and delta

From playlist Calculus

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3. The Birth of Algebra

(October 15, 2012) Professor Keith Devlin looks at how algebra, one of the most foundational concepts in math, was discovered. Originally presented in the Stanford Continuing Studies Program. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies Program: https://cont

From playlist Lecture Collection | Mathematics: Making the Invisible Visible

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Math Explorations Ep1, Intro & Voting (Jan 18, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Math Explorations Ep8, Arrow's Theorem & Manipulability (Feb 2, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Math Explorations Ep9, Approval & Weighted Voting (Feb 4, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Math Explorations Ep11, Shapley-Shubik power index (Feb 9, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Math Explorations Ep6, IRV & Monotonicity (Jan 26, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Math Explorations Ep12, Banzhaf power index (Feb 11, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Math Explorations Ep17, Efficiency Gap (Mar 4, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Calculus: Absolute Maximum and Minimum Values

In this video, we discuss how to find the absolute maximum and minimum values of a function on a closed interval.

From playlist Calculus

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Math Explorations Ep15, Exam 1 review (Section 2) (Feb 23, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Math Explorations Ep15, Exam 1 review (Section 1) (Feb 23, 2022)

This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web

From playlist Math 1015 (Mathematical Explorations) Spring 2022

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Calculus 1 Lecture 3.4: The Second Derivative Test for Concavity of Functions

Calculus 1 Lecture 3.4: The Second Derivative Test for Concavity of Functions

From playlist Calculus 1 (Full Length Videos)

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Mathematical model