Derivative Notes
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Chapter 1: Trigonometry Functions and Geometric Measurements
Videos
Video 1: Radians & Degrees by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 2: Solving Similar Triangles by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 3: Introduction to the Trigonometric Ratios by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 4: The Trig Functions & Right Triangle Trig Ratios by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 5: Solving for a Side in a Right Triangle Using the Trigonometric Ratios by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 6: Introduction to arcsine by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 7: Introduction to arctangent by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 8: Introduction to arccosine by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 9: Law of Sines by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 10: Law of Cosines by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 11: Elements of Simple Circular Curves by Mr. Shashikant B. Gosavi, Assistant Professor, Department of Civil Engineering, Walchand Institute of Technology, Solapur is licensed by Attribution 3.0 Unported (CC BY 3.0)
Video 12: Elements of Parabolic Curves by Mr. Ashok Kumar, Assistant Professor, Department of Civil Engineering, Walchand Institute of Technology, Solapur is licensed by Attribution 3.0 Unported (CC BY 3.0)
Video 13: Elements of Spiral Curves by Mr. Ashok Kumar, Assistant Professor, Department of Civil Engineering, Walchand Institute of Technology, Solapur is licensed by Attribution 3.0 Unported (CC BY 3.0)
References
Farid, A. (2022). Highway Design. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2022). Considerations for Intersections. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Figures
Figure 1: is licensed by Creative Commons CC0 1.0 Universal (CC0 1.0) Public Domain Dedication
Figure 2 is licensed by Creative Commons CC0 1.0 Universal (CC0 1.0) Public Domain Dedication
Figure 3 is licensed by Creative Commons CC0 1.0 Universal (CC0 1.0) Public Domain Dedication
Chapter 2: Polynomial, Exponential, and Logarithmic Functions
Videos
Video 1: Introduction to Exponential Functions by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 2: Exponential Function Graph by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 3: Graphing Exponential Functions by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 4: Graphs of Exponential Growth by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 5: Graphing Exponential Growth and Decay by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 6: Analyzing Graphs of Exponential Functions by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 7: Analyzing Tables of Exponential Functions by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 8: Introduction to Logarithms by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 9: Graphs of Logarithmic Functions by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 10: Relationship Between Exponentials and Logarithms: Graphs by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 11: Relationship Between Exponentials and Logarithms: Tables by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 12: Solving Exponential Equations Using Exponent Properties by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 13: Solving Exponential Equations Using Exponent Properties (Advanced) by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 14: Logarithmic Equations: Variable in the Argument by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 15: Logarithmic Equations: Variable in the Base by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 16: Graphing Polynomial Functions by Michael Pemberton is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 17: Solving Polynomial Equations by Factoring by Keith Mann is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 18: Dividing Polynomials: Long Division by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 19: Solving Polynomial Equations by using Synthetic Substitution by Keith Mann is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
References
Farid, A. (2022). Engineering Economics. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Mannering, F., and Washburn, S. (2013). Chapter 5: Fundamentals of Traffic Flow and Queuing Theory. In: Principles of Highway Engineering and Traffic Analysis 5th Edition. John Wiley & Sons, Inc., Hoboken, NJ. pp. 135-174.
Farid, A. (2022). Transportation Planning 1. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2022). Transportation Planning 2. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2022). Highway Design. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA
Chapter 3: Systems of Linear Equations
Videos
Video 1: “How to set up a system of equations” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 2: “How to solve systems of equations graphically” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 3: “Testing a solution to a system of equations” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 4: Solving System of Equations with Substitution by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 5: “Solving Systems of Equations with Elimination” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 6: “Introduction to Linear Systems with Three Variables” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 7: “Solving Linear Systems with Three Variables” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 8: “Solving Linear Systems with Three Variables: No Solution” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 9: “Using Matrices to Solve Systems of Linear Equations” by Linda Green is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 10: “Solving System of Equations Using Excel” by Roel Van de Paar is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 11: How to Use the Solver Tool in Excel to Solve Systems of Linear Equations in Algebra by Rebecca Ong is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
References
Farid, A. (2022). Transportation Planning 2. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2022). Highway Design. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Chapter 4: Calculus – Interpretation and Methods for Integration and Differentiation
Videos
Video 1: Interpreting Derivatives by Linda Green is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 2: Derivative as Slope of Curve by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 3: The Derivative as Slope of Tangent Line by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 4: Tangent Slope as Instantaneous Rate of Change by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 5: Approximating Instantaneous Rate of Change with Average Rate of Change by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 6: Basic Derivative Rules by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 7: Basic Derivative Rules (Part 2) by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 8: Product Rule by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 9: Quotient Rule by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 10: Chain Rule by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 11: The Power Rule by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 12: Derivatives of Trigonometric Functions by Tyler Wallace is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 13: Differentiability at a Point: Algebraic by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 14: Differentiating Polynomials by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 15: Fractional Powers Differentiation by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 16: Radical Functions Differentiation Introduction by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 17: Worked Example by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 18: Differentiating Products by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 19: Differentiate Quotients by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 20: Differentiating Rational Functions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 23: Derivatives of tan(x) and cot(x) by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 24: Derivatives of sec(x) and csc(x) by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 25: Differentiate Exponential Functions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 26: Differentiate Logarithmic Functions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 27: Indefinite Integral of 1/x by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 28: Indefinite Integrals of sin(x), cos(x), and by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 29: Reverse Power Rule by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 30: Rational Functions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 31: Radical Functions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 32: Trig Functions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 33: Natural Logs by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 34: Absolute Value Functions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 35: Piecewise Functions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 36: Integrating with U-Substitution by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 37: U-Substitution: Definite Integral of Exponential Function by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 38: Introduction to Integral Calculus by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 39: Introduction to Definite Integrals by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 40: Introduction to Riemann Approximation by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 41: Definite Integral as the Limit of a Riemann Sum by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 42: Finding Area Under a Curve Using Integration by Learning Videos is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 43: The Fundamental Theorem of Calculus by Vincent Bouchard is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
References
“Calculus Volume 1” by Gilbert Strang, Edwin “Jed” Herman on OpenStax, Chapter 5.3: The Fundamental Theorem of Calculus: https://openstax.org/books/calculus-volume-1/pages/5-3-the-fundamental-theorem-of-calculus
Chapter 5: Motion and Forces
Videos
Video 1: Interpreting Motion Graphs by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported
Video 2: Motion Diagram by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported
Video 3: Choosing Kinematic Equations by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 4: Free-body Diagrams by James Dann, Ph.D is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Video 5: Normal Force by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported
Video 6: Kinetic and Static Friction Forces by North Carolina School of Science and Mathematics is licensed by Creative Commons Attribution 3.0 Unported
Video 7: Static Friction Equation by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported
Video 8: Kinetic Friction Equation by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported
Video 9: Static and Kinetic Friction Example by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 10: Newton’s 3 Laws of Motion by Engineering Technology Simulation Learning Videos is licensed by Creative Commons Attribution 3.0 Unported
Video 11: Laws of Gravitation by Study Animated is licensed by Creative Commons Attribution 3.0 Unported
Video 12: Introduction to Spatial Interaction Modelling by National Centre for Research Methods online learning resource is licensed by Creative Commons Attribution 3.0 Unported
Video 13: Angle Units by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported
Video 14: Angular Position and Displacement by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported
Video 15: Angular Velocity and Acceleration by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported
Video 16: Uniform Circular Motion by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported
Video 17: Centripetal Force and Acceleration Intuition by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 18: Visual Understanding of Centripetal Acceleration Formula by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 19: Centripetal Force Problem Solving by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 20: Fictitious Forces by by Camilla Tac is licensed by Creative Commons Attribution 3.0 Unported
Figures
Figure 1: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 2: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 3:“College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 4: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 5: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 6-8: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 9:“College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 10: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 11: “Unit: Forces and Newton’s Law of Motion” by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Figure 12: “Unit: Forces and Newton’s Law of Motion” by Khan Academy is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Figure 13: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 14: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 15: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 16: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 17-18: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 19: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 20: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 21: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 22: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 23: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 24: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0)
References
Farid, A. (2021/2022). Chapter 4: Modeling Transportation Demand and Supply Transportation Planning 1. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2021/2022). Chapter 9Highway Design. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2022). Traffic Safety and Human Factor Considerations Superelevation. Personal Collection of Ashraf Rahim Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2022). Stopping Sight Distance (SSD)Pavement Engineering. Personal Collection of Ashraf Rahim Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2021/2022). Chapter 2 Fundamentals of Traffic Flow Theory. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
“Traffic Flow” by David Levinson https://www.youtube.com/watch?v=NjxIhgG4cNw
Chapter 6: Basic Dynamics and Static Equilibrium
Videos
Video 1: Introduction to Momentum by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 2: Impulse and Momentum Dodgeball Example by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 3: Bouncing Fruit Collision Example by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 4: Momentum: Ice Skater Throws a Ball by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 5: 2-Dimensional Momentum Problem by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 6: Part 2 by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 7: Force vs. Time Graphs by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 8: Momentum Notes by Jeff Batey is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 9: Elastic and Inelastic Collisions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 10: Deriving the Shortcut to Solve Elastic Collision Problems by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 11: How to Use the Shortcut for Solving Elastic Collisions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 12: Equilibrium Forces by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 13: Static Equilibrium by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 14: Center of Gravity by Jennifer Cash is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Video 15: Dynamic Balance by Alejandro Garcia is licensed by Creative Commons Attribution 3.0 Unported (CC BY 3.0)
Figures
Figure 1: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 2: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 3: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 4: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 5: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 6:“College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 7: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 8: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 9: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 10: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 11: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 12: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 13: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 14: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 15: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 16: “College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram is licensed by Creative Commons Attribution 4.0 International (CC BY 4.0). Access for free.
Figure 17 is licensed by Creative Commons CC0 1.0 Universal (CC0 1.0) Public Domain Dedication
References
Farid, A. (2022). Traffic Safety and Human Factor Considerations. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2022). Highway Design. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
“College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram. Access for free at https://openstax.org/books/college-physics-ap-courses/pages/1-connection-for-ap-r-courses
Chapter 7: Waves and Doppler Effect
Videos
Video 1:“Basic Properties of Waves” by Animations for Physics and Astronomy is licensed under Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)
Video 2: “Sound Waves and Their Sources (1933) Remastered” by Sterocanvas is licensed under Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)
Video 3: “Acoustics and Your Environment: The Bais of Sound and Highway Traffic Noise” by PublicResourceOrg is licensed under Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)
Video 4: “What is the Doppler Effect?” by Engineering Technology Simulation Learning Videos is licensed under Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)
Video 5: “Adsorptive Sound Wall Systems” by SoundFighterWalls is licensed under Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)
Figures
Figure 1: “Chapter 16: Oscillatory Motion and Waves” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 2: “Chapter 16: Oscillatory Motion and Waves” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 3: “Chapter 16: Oscillatory Motion and Waves” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 4: “Chapter 17: Physics of Hearing” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 5: “Chapter 17: Physics of Hearing” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 6: “Chapter 17: Physics of Hearing” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 7: “Chapter 17: Physics of Hearing” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 8: “Chapter 17: Physics of Hearing” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 9: “Chapter 17: Physics of Hearing” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 10: “Chapter 17: Physics of Hearing” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Figure 11: “Chapter 17: Physics of Hearing” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, and Douglas Ingram is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Tables
Table 1: Garnett, A. (2022, April 26). Traffic noise overview. Center for Environmental Excellence | AASHTO. Retrieved July 1, 2022, from https://environment.transportation.org/education/environmental-topics/traffic-noise/traffic-noise-overview/
Simulations
Simulation 1: “Wave on a String” by PhET Simulations is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
Simulation 2: “Wave Interference” by PhET Simulations is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)
References
“Traffic Noise and Transportation” by The Center for Environmental Excellence by the American Association of State Highway and Transportation Officials (AASHTO).
“College Physics for AP® Courses” by Greg Wolfe, Erika Gasper, John Stoke, Julie Kretchman, David Anderson, Nathan Czuba, Sudhi Oberoi, Liza Pujji, Irina Lyublinskaya, Douglas Ingram. Access for free at https://openstax.org/books/college-physics-ap-courses/pages/1-connection-for-ap-r-courses
Chapter 8: Probability: Basic Principles and Distributions
Videos
Video 1: Count Outcomes Using Tree Diagram by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 2: Permutation Formula by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 3: Zero Factorial by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 4: Ways to Pick Officers by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 5: Introduction to Combinations by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 6: Combination Formula by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 7: Combination Example: 9 Card Hands by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 8: Probability Using Combinations by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 9: Probability and Combinations by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 10: Conditional Probability and Combinations by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 11: Random Variables by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 12: Discrete and Continuous Random Variables by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 13: Constructing a Probability Distribution for Random Variable by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 14: Probability with Discrete Random Variable Example by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 15: Mean (expected value) of a Discrete Random Variable by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 16: Variance and Standard Deviation of a Discrete Random Variable by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 17: Bernoulli by Paul Hewson is licensed by Attribution 3.0 Unported (CC BY 3.0)
Video 18: Mean and Variance of Bernoulli Distribution by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 19: Bernoulli Distribution Mean and Variance by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 20: Binomial Variables by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 21: Binomial Distribution by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 22: Visualizing a Binomial Distribution by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 23: Binomial Probability Example by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 24: Expected Value of a Binomial Variable by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 25: Variance of a Binomial Variable by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 26: Finding the Mean and Standard Deviation of a Binomial Random Variable by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 27: Geometric Random Variables Introduction by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 28: Probability for a Geometric Random Variable by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 29: Cumulative Geometric Probability (greater than a value) by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 30: Cumulative Geometric Probability (less than a value) by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 31: Poisson Process 1 by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 32: Poisson Process 2 by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 33: Poisson Probability Distribution – Example by Peter Dalley is licensed under the Attribution 3.0 Unported (CC BY 3.0)
Video 34: Probability Density Functions by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 35: Uniform Distributions by Lee Wilsonwithers is licensed under Attribution 3.0 Unported (CC BY 3.0)
Video 36: Exponential Distributions by Significant Statistics is licensed under Attribution 3.0 Unported (CC BY 3.0)
Video 37: “Statistics Module 6 – Exponential Probability Distribution – Problem 6-4B” by Peter Dalley is licensed under Attribution 3.0 Unported (CC BY 3.0)
Video 38: Integration by Parts – Exponential Distribution by Maurice Koster is licensed under Attribution 3.0 Unported (CC BY 3.0)
Video 39: Normal Distribution Problems: Empirical Rule by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 40: Probabilities from Density Curves by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 41: Standard Normal Table for Proportion Below by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 42: Standard Normal Table for Proportion Above by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 43: Standard Normal Table for Proportion Between Values by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 44: Finding z-score for a Percentile by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 45: Queuing Theory: Exponential Distribution by MOOC at IMT is licensed under Attribution 3.0 Unported (CC BY 3.0)
Figures
Figure 1 by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Figure 2: by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Figure 3 by Jeremy Orloff and Jonathan Bloom is licensed by NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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Figure 15 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Attribution 4.0 International (CC BY 4.0)
Figure 16 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Attribution 4.0 International (CC BY 4.0)
Figure 17 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Attribution 4.0 International (CC BY 4.0)
Figure 18 by Jeremy Orloff and Jonathan Bloom is licensed by NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Figure 19 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Attribution 4.0 International (CC BY 4.0)
Figure 20 by Jeremy Orloff and Jonathan Bloom is licensed by NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Figure 21 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Attribution 4.0 International (CC BY 4.0)
Figure 22 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Attribution 4.0 International (CC BY 4.0)
Figure 23 by Jeremy Orloff and Jonathan Bloom is licensed by NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Figure 24 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Attribution 4.0 International (CC BY 4.0)
Figure 25 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Attribution 4.0 International (CC BY 4.0)
Figure 26 by Jeremy Orloff and Jonathan Bloom is licensed by NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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References
“Unit: Counting, Permutations, and Combinations” by Khan Academy. https://www.khanacademy.org/math/statistics-probability/counting-permutations-and-combinations
“Unit: Probability” by Khan Academy. https://www.khanacademy.org/math/statistics-probability/probability-library
“Unit: Random Variables” by Khan Academy https://www.khanacademy.org/math/statistics-probability/random-variables-stats-library
“Unit: Modeling Data Distributions” by Khan Academy https://www.khanacademy.org/math/statistics-probability/modeling-distributions-of-data
Mannering, F., and Washburn, S. (2013). Chapter 5: Fundamentals of Traffic Flow and Queuing Theory. In: Principles of Highway Engineering and Traffic Analysis 5th Edition. John Wiley & Sons, Inc., Hoboken, NJ. pp. 135-174.
Farid, A. (2022). Spot Speed Study. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
American Association of State Highway and Transportation Officials (2010). Highway Safety Manual. American Association of State Highway and Transportation Officials,
“Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean on OpenStax. Access for free at https://openstax.org/books/introductory-business-statistics/pages/1-introduction
Berman H.B., “Statistics Dictionary”, [online] Available at: https://stattrek.com/statistics/dictionary?definition=select-term URL [Accessed Date: 8/16/2022].
Chapter 9: Data Analysis – Hypothesis Testing, Estimating Sample Size, and Modeling
Videos
Video 1: Central Limit Theorem by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 2: Sampling Distribution of the Sample Mean by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 3: Sampling Distribution of the Sample Mean (Part 2) by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 4: Sampling Distributions: Sampling Distribution of the Mean by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 5: Confidence Intervals & Estimation: Point Estimates Explained by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 6: Confidence Interval for Mean: 1 Sample Z Test (Using Formula) by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 7: Confidence Intervals: Using the t Distribution by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 8: How to Construct a Confidence Interval for Population Proportion by Simple Science and Maths is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 9: Estimation and Confidence Intervals: Calculate Sample Size by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 10: Calculating Sample size to Predict a Population Proportion by Matthew Simmons is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 11: Hypothesis Testing: The Fundamentals by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 12: Hypothesis Testing: Setting up the Null and Alternative Hypothesis Statements by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 13: Hypothesis Testing: Type I and Type II Errors by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 14: Hypothesis testing: Finding Critical Values by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 15: Normal Distribution: Finding Critical Values of Z by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 16: What is a “P-Value?” by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 17: Hypothesis Testing: One Sample Z Test of the Mean (Critical Value Approach) by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 18: Hypothesis Testing: t Test for the Mean (Critical Value Approach)by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 19: Hypothesis Testing: 1 Sample Z Test of the Mean (Confidence Interval Approach) by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 20: Hypothesis Testing: 1 Sample Z Test for Mean (P-Value Approach) by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 21: Hypothesis Testing: 1 Proportion using the Critical Value Approach by Linda Williams is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 22: Hypothesis Testing – Two Population Means by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 23: Two Population Means, One Tail Test, unknown by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 24: Two Population Means, Two Tail Test, unknown by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 25: Effect Size for a Significant Difference of Two Sample Means by Dana Lee Ling is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 26: Two Population Means, One Tail Test, Known by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 27: Two Population Means, Two Tail Test, Known by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 28: Two Population Means, One Tail Test, Matched Sample by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 29: Two Population Means, One Tail test, Matched Sample by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 30: Matched Sample, Two Tail Test by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 31: Two Population Proportions, One Tail Test by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 32: Two Population Proportion, Two Tail Test by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 33: Single Population Variances, One-Tail Test by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 34: Chi-Square Statistic for Hypothesis Testing by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 35: Chi-Square Goodness-of-Fit Example by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 36: Simple Explanation of Chi-Squared by J David Eisenberg is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 37: Chi-Square Tet for Association (independence)by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 38: Introduction to the Chi-Square Test for Homogeneity by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 39: Hypothesis Test Two Population Variances by Peter Dalley is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 40: ANOVA by J David Eisenberg is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 41: Calculating SST (total sum of squares) by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
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Video 43: Hypothesis Test with F-Statistic by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 44: Bivariate Relationship Linearity, Strength, and Direction by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
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Video 46: Example: Correlation Coefficient Intuition by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
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Video 52: Interpreting y-intercept in Regression Model by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 53: Using Least Squares Regression Output by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 54: R-Squared or Coefficient of Determination by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
Video 55: Using Microsoft Excel’s “Descriptive Statistics” Tool by Linda Weiser Friedman is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 56: How to Run Descriptive Statistics in R by Learning Puree is licensed by Creative Commons 4.0 International (CC BY 4.0)
Video 57: Descriptive Statistics in R Part 2 by Learning Puree is licensed by Creative Commons 4.0 International (CC BY 4.0)
Video 58: Simple Linear Regression in Excel by Ramya Rachel is licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Video 59: Simple Linear Regression, fit and interpretations in Ris licensed by Creative Commons 3.0 Unported (CC BY 3.0)
Figures
Figure 1: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 2: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 3: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 4: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 5: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 6: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 7: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 8: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 9: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 10: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 11: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 12: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 13: “Introductory Business Statistics” by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 14: by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 15 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 16 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 17 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 18 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 19 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 20 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 21 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 22 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 23 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 24 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
Figure 25 by Alexander Holmes, Barbara Illowsky, and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
References
“Unit: Sampling Distributions” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
“Unit: Inference for Categorical Data: Chi-Square” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
“Unit: Analysis of Variance (ANOVA)” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
“Unit: Exploring Two-Variable Quantitative Data” by Khan Academy is licensed by Creative Commons NonCommercial-ShareAlike 3.0 United States (CC BY-NC-SA 3.0 US)
“Statistics” by Barbara Illosky and Susan Dean is licensed by Creative Commons 4.0 International (CC BY 4.0)
“Introduction to Probability and Statistics” by Jeremy Orloff and Jonathan Bloom is licensed by Creative Commons NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
Farid, A. (2022). Transportation Planning 1. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2022). Transportation Planning 2. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Farid, A. (2022). Fundamentals of Traffic Flow Theory. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
Washington, S., Karlaftis, M., Mannering, F., and Anastasopoulos, P. (2020). Statistical and Econometric Methods for Transportation Data Analysis 3rd Edition. Chemical Rubber Company (CRC) Press, Taylor and Francis Group, Boca Raton, FL.
Farid, A. (2022). Spot Speed Study. Personal Collection of Ahmed Farid, California Polytechnic State University, San Luis Obispo, CA.
