What Math Classes do Engineers (and Physics Majors) Take? (Part 3)

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Part 3 surveying mathematics coursework engineers and physics majors encounter. Explains what math classes cover and their applications in engineering and physics.

What you'll learn

A 14-minute video from Zach Star: “What Math Classes do Engineers (and Physics Majors) Take? (Part 3)”.

Science & Math

Video by Zach Star, played through YouTube's embedded player.

13:08

Why do Electrical Engineers use imaginary numbers in circuit analysis?Zach StarEngineering

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The intuition behind the Nyquist-Shannon Sampling Theorem Zach StarEngineering

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Doug McLean | Common Misconceptions in Aerodynamics Michigan EngineeringEngineering

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The Longest Year in Human History (46 B.C.E.)Historia CivilisHistory

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Why do Electrical Engineers use imaginary numbers in circuit analysis?

Zach Star

713K views

Why electrical engineers use complex numbers (phasors) in AC circuit analysis.

11:25

The intuition behind the Nyquist-Shannon Sampling Theorem

Zach Star

135K views

The intuition behind the Nyquist-Shannon sampling theorem and aliasing.

But what is a neural network? | Deep learning chapter 1

3Blue1Brown

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Builds up what a neural network actually is — neurons as numbers, layers, weights and biases — using handwritten-digit recognition as the running example.

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3Blue1Brown

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A visual introduction to the Fourier transform: winding a signal around a circle to find its frequencies.

Lec 1 | MIT 18.06 Linear Algebra, Spring 2005

MIT OpenCourseWare

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Gilbert Strang's first lecture of MIT 18.06: the geometry of linear equations.

Math's Fundamental Flaw

Veritasium

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Gödel's incompleteness, Turing's halting problem and the limits of mathematics.

AT&T Archives: Similiarities of Wave Behavior (Bonus Edition)

AT&T Tech Channel

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Bell Labs' J.N. Shive uses a mechanical wave machine to show reflection, standing waves, resonance and impedance matching — the ideas behind transmission lines.

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Veritasium

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Entropy, the arrow of time and why the Sun is a source of low entropy rather than just energy.

Lecture 1: Introduction to Superposition

MIT OpenCourseWare

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MIT 8.04 Quantum Physics I, lecture 1: superposition, introduced through experiments with 'hardness' and 'color'.

25:10

How an Atomic Clock Really Works: Inside the HP 5061A Cesium Clock

CuriousMarc

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CuriousMarc opens an HP 5061A caesium beam clock and explains, module by module, how it locks to an atomic transition.

Doug McLean | Common Misconceptions in Aerodynamics

Michigan Engineering

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Boeing aerodynamicist Doug McLean dismantles popular wrong explanations of lift and explains what really happens.

27:13

The Longest Year in Human History (46 B.C.E.)

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How Julius Caesar's calendar reform produced the 445-day year of 46 BCE and gave us the Julian calendar.