Math Mistakes That Cost Millions!!! (And the Calculus Behind Them) | Math with Professor V

Did you know that a tiny unit conversion error made NASA lose a $125 million spacecraft? Or that a rounding mistake led to a failed missile defense system? In this video, we break down some of the biggest math mistakes in history and explore how calculus concepts like unit conversions, limits, differential equations, and Taylor series played a role in these disasters.

What You’ll Learn:
-The NASA Metric Mix-Up (Unit Conversion & Derivatives)
-The Patriot Missile Rounding Error (Limits & floating-point precision)
-The Tacoma Narrows Bridge Collapse (Differential equations & resonance)
-The Ariane 5 Rocket Explosion (Taylor series approximation errors)

Don’t let math mistakes cost you on your next exam!
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xoxo,
Professor V

For the corresponding lecture videos related to each of the topics discussed, check out the links below:
Case 1: Particle Motion in Calculus
Derivatives and Rates of Change: https://youtu.be/aa0Ji45lyn8?si=9tgwGcpoGaS2GxTa
Derivatives & Rates of Change in the Sciences: https://youtu.be/1oLWWHm6WWA?si=g9nRVv1ugpW2O7e1
Particle Motion & Graphs: https://youtu.be/ska8rkiIEgc?si=EAQUvrPlTX2WFM0l
Indefinite Integrals & The Net Change Theorem: https://youtu.be/uExHDDhwV7k?si=1D7Gxir55B4bIgx9

Case 2: Limits
Finding Limits Using the Limit Laws: https://youtu.be/UpEejH7Gkoo?si=uW0XMuMHhzVv0io_
Finding Limits of Trig Functions: https://youtu.be/HC7EC4JeYKI?si=fASWz53h2aZSd-9i

Case 3: Differential Equations & Resonance
Differential Equations: Undetermined Coefficients Superposition Approach Part 1: https://youtu.be/KzLmj7_cKBY?si=XTKD6ww9gTMaNJg8
Differential Equations: Undetermined Coefficients Annihilator Approach: https://youtu.be/njku_SR_EPo?si=2Gc46wtTjN_7VD7j

Case 4: Taylor Series Approximations
Taylor & Maclaurin Series: https://youtu.be/8UEh0VejRMo?si=w1mnZpHD_h_yxeC2
Finding Taylor & Maclaurin Series for Functions: https://youtu.be/Wj6lerUoujc?si=yacjdc8pjftsqLYn
Applications of Taylor Polynomials: https://youtu.be/FBTg0wue6lI?si=phgN8TdPKQ4eVTk6

https://linktr.ee/mathwithprofessorv

Calculus 2 Lecture Videos on Integration:
Integration by parts: https://youtu.be/0klrkpMUsXA
Tabular Integration: https://youtu.be/pzhJciqIrzw
Trigonometric integrals: https://youtu.be/0MqaL3fwPu4
Trigonometric Substitution: https://youtu.be/rAH-dRxQ4o0
Partial Fraction Decomposition: https://youtu.be/mT25uSspHIU
Strategy for Integration: https://youtu.be/P_smvpnX3_g
Improper Integrals: https://youtu.be/Q0zD3GjXJ1s
L'Hospital's Rule: https://youtu.be/SGnfR-cVkCs?si=3IU3GvEHvBJ8Fjow
More on L'Hospital's Rule: https://youtu.be/S_0PgNru6LE?si=mNRnVmk4XpyawcOg

Trig Review:
Unit Circle: https://youtu.be/nl84YXi1_3A
Trig Identities: https://youtu.be/SLVrNGi1Br0
Sum and Difference Formulas: https://youtu.be/9kC8gwkxf6A
Double Angle & Half-Angle Formulas: https://youtu.be/EaF57Y4B2uY

Calculus 3 Video Lectures:
https://youtube.com/playlist?list=PLl-Np5U6u5E65pRRuD0mBXM4w4fenJ5gD

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Видео Math Mistakes That Cost Millions!!! (And the Calculus Behind Them) | Math with Professor V канала Math with Professor V