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Lux Jinโ€™s Histoy tour:math & science @UCBYwERPlyzdJ1wTe1_eMFVg@youtube.com

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Histoy tour: math & science


08:47
26C ๋‰ดํ„ด ๋ฐ˜์‚ฌ ๋ง์›๊ฒฝ, ๊ตด์ ˆ ๋ง์›๊ฒฝ, ๊ตฌ๊ฒฝ๋น„ ๋ถ„ํ•ด๋Šฅ, ์šฐ์ฃผ ํŒฝ์ฐฝ ๋Œ€ํญ๋ฐœ ์ด๋ก  Newtonian reflector, refractor, f-number & Hubbleโ€™s law
12:35
25C ๊ตด์ ˆ ๋ง์›๊ฒฝ ์‹œ์•ผ๊ฐ ๋ฐฐ์œจ, ์ƒ‰์ˆ˜์ฐจ ๊ตฌ๋ฉด์ˆ˜์ฐจ, ์กฐํ™” ๋ฒ•์น™๊ณผ ์ค‘๋ ฅ Refractor magnification,gravity,Newtonโ€™s law,Galileo & Kepler
08:39
24C ๊ฐˆ๋ฆด๋ ˆ์˜ค ๋ง์›๊ฒฝ, ์ฒœ๋™์„ค ์ง€๋™์„ค ์šฐ์ฃผ ์ˆ˜ํ•™, ๋ณผ๋ก๋ Œ์ฆˆ ์˜ค๋ชฉ๋ Œ์ฆˆ ๊ตด์ ˆ ๋ฐฐ์œจ Galilean telescope, Galileo, heliocentrism & science
12:18
23C ๋‰ดํ„ด ๋ Œ์ฆˆ ๊ณต์‹, ๊ฐ€์šฐ์Šค ๊ฒฐ์ƒ์‹, ๋ฐ์นด๋ฅดํŠธ ๋ถ€ํ˜ธ, ๋ฌผ์งˆํŒŒ ์ž…์ž ์ด์ค‘์„ฑNewtonian thin lens formula, Gaussian form & wave particle
11:11
22C ๊ฐ€์šฐ์Šค ๋ Œ์ฆˆ ๋ฐฉ์ •์‹, ๋ฐ์นด๋ฅดํŠธ ๋ถ€ํ˜ธ ์ดˆ์  ๊ฑฐ๋ฆฌ, ๊ทผ์ถ•๊ด‘์„  ๊ตด์ ˆ ๋ฒ•์น™ Gaussian imaging,Cartesian sign lens equation,focal length
10:42
21C ๋ Œ์ฆˆ ์ œ์ž‘์ž ๊ณต์‹, ๊ตด์ ˆ ๋ฒ•์น™, ๋‹จ์ƒ‰ ์ˆ˜์ฐจ, ๊ฐ€์šฐ์Šค ๊ฒฐ์ƒ์‹, ๊ด‘์„  ์ž…์ž ํ•ด๋ฐ€ํ„ด ์›๋ฆฌ ray diagram, lens makerโ€™s formula & Snellโ€™s law
08:25
20C ๊ฐ€์šฐ์Šค ๊ฒฐ์ƒ ํฌ๋ฌผ์„  ์ดˆ์ , ๊ด‘ํ•™์ˆ˜์ฐจ, ์ž์ด๋ธ ์ˆ˜์ฐจ, ๋‹จ์ƒ‰์ˆ˜์ฐจ, ๊ตฌ๋ฉด์ˆ˜์ฐจ Gaussian imaging, Seidel aberrations & parabolic mirrors
11:27
19C ์ตœ๋‹จ๊ฑฐ๋ฆฌ ์ตœ์†Œ์ž‘์šฉ ์›๋ฆฌ, ๊ฑฐ์šธ ๋ฐฉ์ •์‹, ์˜ค๋ชฉ๊ฑฐ์šธ, ๋ณผ๋ก๊ฑฐ์šธ, ํ‰๋ฉด๊ฑฐ์šธ Imaging equation, concave, convex & flat mirrors
12:42
18C ์˜ค๋ชฉ๊ฑฐ์šธ ๋ฐ์นด๋ฅดํŠธ ๋ถ€ํ˜ธ ๊ฒฐ์ƒ์‹, ๊ด‘์„ ๋„ํ‘œ, ๋„๋ฆฝ ์‹ค์ƒ, ์ •๋ฆฝ ํ—ˆ์ƒ, ๋ฐฐ์œจ Cartesian sign mirror equation,real image virtual image
11:25
17C ๊ฐ€์šฐ์Šค ๊ฒฐ์ƒ์‹, ๊ด‘์„  ๋ถ€ํ˜ธ ๊ทœ์•ฝ, ๋ณผ๋ก๊ฑฐ์šธ, ์˜ค๋ชฉ๊ฑฐ์šธ, ํ•ด๋ฐ€ํ„ด ์ตœ์†Œ์ž‘์šฉ Mirror equation, sign convention, Hamilton's principle
08:39
16C ๊ฐ€์šฐ์Šค ๊ฒฐ์ƒ์‹, ๊ตด์ ˆ ๋ง์›๊ฒฝ, ์Šค๋„ฌ ๋ฒ•์น™, ์ƒ‰์ˆ˜์ฐจ, ๊ตฌ๋ฉด์ˆ˜์ฐจ, ์˜ค๋ชฉ๊ฑฐ์šธ Gauss's ray diagram, refraction,telescope,concave mirror
11:08
15C ์Šค๋„ฌ ๊ตด์ ˆ ๋ฒ•์น™, ํŽ˜๋ฅด๋งˆ ์ตœ์†Œ์‹œ๊ฐ„, ํ˜ธ์ด๊ฒ์Šค ์›๋ฆฌ, ํ•ด๋ฐ€ํ„ด ์ตœ์†Œ์ž‘์šฉ Snellโ€™s law, least time, Hamilton's principle,least action
09:20
14C ๋ฐ˜์‚ฌ ๋ฒ•์น™, ํŽ˜๋ฅด๋งˆ ์›๋ฆฌ, ํ˜ธ์ด๊ฒ์Šค ํ”„๋ ˆ๋„ฌ ์›๋ฆฌ, ํŒŒ๋ฉด ์ „๋‹ฌ, ํŒŒ๋™ ์ž…์ž Huygens Fresnel principle, wave front & reflection law
09:55
13C ๋‰ดํ„ด ๋ง ๋™์‹ฌ์›, ์ƒ์‡„๊ฐ„์„ญ, ๋ณด๊ฐ•๊ฐ„์„ญ, ํ”„๋ ˆ๋„ฌ ๋ฐฉ์ •์‹,์ž…์ž์„ค๊ณผ ํŒŒ๋™์„ค Newtonโ€™s ring, thin film interference & Fresnel equations
10:32
12C ๋‚ด๋ถ€ ์ „๋ฐ˜์‚ฌ ์ž„๊ณ„๊ฐ, ๋ฐฑ์ƒ‰๊ด‘ ๋ถ„์‚ฐ, ๊ณผ์ž‰ ๋ฌด์ง€๊ฐœ, ๊ตด์ ˆ ์ค‘์ฒฉ, ์ž…์ž ํŒŒ๋™ Internal reflection, refraction & wave particle duality
12:33
11C ์Œ๋ฌด์ง€๊ฐœ, 2์ฐจ ๋ฌด์ง€๊ฐœ ๊ด‘ ํŽธํ–ฅ, ๋น› ํ™”์„  ๊ฐ๋ฐ˜์ง€๋ฆ„, ๋น›๊ณผ ์ „์ž๊ธฐํŒŒ double rainbow, light, Maxwell equations & Mie scattering
11:39
10C ๊ตด์ ˆ ๋ถ„์‚ฐ ๋ฐ˜์‚ฌ ํšŒ์ ˆ, ์ผ์ฐจ ์ด์ฐจ ๋ฌด์ง€๊ฐœ, ๊ฐ๋ฐ˜๊ฒฝ, ๊ด‘ ํŽธํ–ฅ, ๋น›์˜ ํ™”์„  Rainbow angular radius,reflection dispersion deflection
09:33
9C ์ œ1์›๋ฆฌ, ๊ตด์ ˆ ๋ถ„์‚ฐ ๋ฌด์ง€๊ฐœ, ์ตœ์†Œ ์‹œ๊ฐ„, ์ตœ์†Œ ์ž‘์šฉ, ์ƒ๋Œ€์„ฑ๊ณผ ์–‘์žํ™” refraction, dispersion, primary rainbow spectrum & action
11:43
8C ์Šค๋„ฌ ๋ฒ•์น™, ํŽ˜๋ฅด๋งˆ ์ตœ์†Œ์‹œ๊ฐ„, ํ™œ๋ ฅ ์—๋„ˆ์ง€ ๋ณด์กด, ๊ฐ„๋žต ์ž‘์šฉ, ํ•ด๋ฐ€ํ„ด ์›๋ฆฌ Snellโ€™s law, Maupertuis action, Hamilton's principle
13:04
7C ๋ฐ˜์‚ฌ ๊ตด์ ˆ ์Šค๋„ฌ ๋ฒ•์น™, ํŽ˜๋ฅด๋งˆ ์›๋ฆฌ, ์ตœ๋‹จ ๊ฑฐ๋ฆฌ ์ตœ์†Œ ์‹œ๊ฐ„ ์ตœ์†Œ ์ž‘์šฉ ์›๋ฆฌ Reflection refraction, Snellโ€™s law & Fermat's principle
11:46
6C ๊ฑฐ์šธ ๋ฐ˜์‚ฌ, ์ตœ๋‹จ ๊ฑฐ๋ฆฌ, ์ตœ์†Œ ์‹œ๊ฐ„, ์ตœ์†Œ ์ž‘์šฉ, ๋น› ์ด์ค‘์„ฑ, ์ž…์ž์™€ ํŒŒ๋™ Mirror reflection path, Hamilton's principle & duality
11:32
5C ์Šค๋„ฌ ๊ตด์ ˆ ๋ฒ•์น™, ํŒŒ๋™ ์ž…์ž ์ตœ์†Œ์ž‘์šฉ ํ•ด๋ฐ€ํ„ด ์›๋ฆฌ, ์•„์ด์ฝ”๋‚  ๋ฐฉ์ •์‹ Snellโ€™s law, Fermat Hamilton's principle & eikonal equation
12:24
4C ํŒŒ๋™ ์ž…์ž ์ด์ค‘์„ฑ, ํ•ด๋ฐ€ํ„ด ์•ผ์ฝ”๋น„ ๋ฐฉ์ •์‹, ํ˜ธ์ด๊ฒ์Šค ์›๋ฆฌ, ํšŒ์ ˆ Hamilton Jacobi equation, wave particle duality & diffraction
12:09
3C ๋Œ€์ •์ค€ ์•™์ƒ๋ธ” ๋ถ„๋ฐฐํ•จ์ˆ˜, ์—๋ฅด๊ณ ๋”•๊ฐ€์„ค, ๋ณผ์ธ ๋งŒ ์ธ์ž, ๊น์Šค ์ธ์ž, ํœ˜์‚ฐ๋„ Gibbs factor, grand partition function, ergodic ensemble
12:30
2C ๋งฅ์Šค์›ฐ์˜ ์•…๋งˆ, ์—”ํŠธ๋กœํ”ผ, ์•™์ƒ๋ธ”, ์ •์ค€ ๋ถ„๋ฐฐํ•จ์ˆ˜ ํ™•๋ฅ ๋ฐ€๋„, ๋ฆฌ์šฐ๋นŒ ์ •๋ฆฌ Maxwellโ€™s Demon, entropy & ensemble partition function
11:34
1C ์•™์ƒ๋ธ”, ์ •์ค€ ๋ถ„๋ฐฐํ•จ์ˆ˜,์Šคํ„ธ๋ง ๊ทผ์‚ฌ,๋ผ๊ทธ๋ž‘์ฃผ ์Šน์ˆ˜,๋ณผ์ธ ๋งŒ ๋ถ„ํฌ Canonical ensemble,Boltzmann distribution & partition function
09:24
0C ์ œ๋…ผ์˜ ์—ญ์„ค, ๋ฌด๋ฆฌ์ˆ˜, ์•™์ƒ๋ธ” ์—๋„ˆ์ง€์ƒํƒœ ํ™•๋ฅ , ์ž์—ฐ๋Œ€์ˆ˜ ์Šคํ„ธ๋ง ๊ทผ์‚ฌ Irrational number, Stirling's approximation ensemble state
10:36
99B ๋ฆฌ์šฐ๋นŒ ์ •๋ฆฌ, ์œ„์ƒ๊ณต๊ฐ„ ๋ฏธ์‹œ์ƒํƒœ ๋ฐ€๋„ํ•จ์ˆ˜ ์•™์ƒ๋ธ”, ๋น„์••์ถ•์„ฑ ์œ ์ฒด๋ฐœ์‚ฐ Liouville theorem, phase space microstate density ensemble
13:47
98B ํ•ด๋ฐ€ํ† ๋‹ˆ์•ˆ ๋‡Œํ„ฐ์ •๋ฆฌ ์‹œ๊ฐ„๋Œ€์นญ, ๋‹จ์ง„๋™๊ณผ ๋ฆฌ์‚ฌ์ฃผ ์œ„์ƒ๊ณต๊ฐ„ ์ •์ค€๋ฐฉ์ •์‹ Lissajous curve, phase space, Hookeโ€™s law & Hamiltonian
14:10
97B ๋‡Œํ„ฐ ์ •๋ฆฌ, ํ›„ํฌ ๋ฒ•์น™ ๋‹จ์ง„๋™, ์ •์ค€๋ณ€ํ™˜ ํ•ด๋ฐ€ํ† ๋‹ˆ์•ˆ ์ˆœํ™˜์ขŒํ‘œ์™€ ๊ณต์ง„ Hookeโ€™s law, resonance, Hamiltonian & cyclic coordinate
12:10
96B ์ •์ค€๋ณ€ํ™˜, ๋ผ๊ทธ๋ž‘์ง€์•ˆ ๊ฒŒ์ด์ง€ ๋ถˆ๋ณ€ ์ƒ์„ฑํ•จ์ˆ˜, ๋‹จ์ง„๋™ ์ˆœํ™˜์ขŒํ‘œ Kamiltonian, canonical transform, simple harmonic hamiltonian
10:36
95B ์ •์ค€๋ณ€ํ™˜, ์ขŒํ‘œ๋ณ€ํ™˜, ๊ฒŒ์ด์ง€ ๋ถˆ๋ณ€ ์ƒ์„ฑํ•จ์ˆ˜, ํ•ด๋ฐ€ํ„ด ์•ผ์ฝ”๋น„ ์ด๋ก  Hamiltonian canonical transformation & generating function
12:10
94B ํ‘ธ์•„์†ก ๊ด„ํ˜ธ ํ•ด๋ฐ€ํ„ด ์ •์ค€๋ฐฉ์ •์‹, ๋ฆฌ์‚ฌ์ฃผ ๋„ํ˜• ์œ„์ƒ๊ณต๊ฐ„, ๋ฅด์žฅ๋“œ๋ฅด ๋ณ€ํ™˜ Hamiltonian Poisson bracket,Lissajous figure& phase space
13:18
93B ํ‘ธ์•„์†ก ๊ด„ํ˜ธ, ๋ถˆํ™•์ •์„ฑ ์›๋ฆฌ, ํ”Œ๋ž‘ํฌ ์ƒ์ˆ˜, ํ•ด๋ฐ€ํ„ด ๋ฐฉ์ •์‹, ๋ฅด์žฅ๋“œ๋ฅด ๋ณ€ํ™˜ Poisson bracket, commutator & uncertainty principle
11:56
92B ํ•ด๋ฐ€ํ„ด ๋ฐฉ์ •์‹, ํ‘ธ์•„์†ก ๊ด„ํ˜ธ, ๋ผ๊ทธ๋ž‘์ง€์•ˆ, ํ•ด๋ฐ€ํ† ๋‹ˆ์•ˆ, ๋‰ดํ„ด ์šด๋™๋ฒ•์น™ Hamiltonian, Poisson bracket, least action & Newtonโ€™s law
11:15
91B ํ•ด๋ฐ€ํ„ด ๋ฐฉ์ •์‹, ๋ฅด์žฅ๋“œ๋ฅด ๋ณ€ํ™˜, ํ‘ธ์•„์†ก ๊ด„ํ˜ธ, ๋ณด์กด๋ฒ•์น™,๋Šฅ๋™๋ณ€์ˆ˜ ๋ถ€ํ˜ธ Legendre transform,Poisson bracket & Hamiltonโ€™s equations
12:16
90B ์—ด์—ญํ•™ ํผํ…์…œ ๋ฅด์žฅ๋“œ๋ฅด ๋ณ€ํ™˜, ์—”ํƒˆํ”ผ ๊น์Šค ์ž์œ ์—๋„ˆ์ง€, ๋งฅ์Šค์›ฐ ๊ด€๊ณ„์‹ Legendre transform,enthalpy,Gibbs energy,Maxwell relation
11:41
89B ๋ฅด์žฅ๋“œ๋ฅด ๋ณ€ํ™˜, ํ—ฌ๋ฆ„ํ™€์ธ  ์ž์œ ์—๋„ˆ์ง€, ๋งฅ์Šค์›ฐ ๊ด€๊ณ„์‹, ํฌ๊ธฐ ์ƒํƒœํ•จ์ˆ˜ Legendre transform, Maxwell relation & Helmholtz function
12:20
88B ๋ฅด์žฅ๋“œ๋ฅด ์ผค๋ ˆ, ํ•ด๋ฐ€ํ† ๋‹ˆ์•ˆ ์—๋„ˆ์ง€, ๋ผ๊ทธ๋ž‘์ง€์•ˆ, ์Šˆ๋ขฐ๋”ฉ๊ฑฐ ๋ฐฉ์ •์‹, ๋””๋ž™ ์ƒ์ˆ˜ Legendre conjugate, Hamiltonian operator, matter wave
12:12
87B ๋ฅด์žฅ๋“œ๋ฅด ๋ณ€ํ™˜, ๋ผ๊ทธ๋ž‘์ง€์•ˆ, ํ•ด๋ฐ€ํ† ๋‹ˆ์•ˆ, ํŒŒ๋™ ๋ฐฉ์ •์‹ ์—๋„ˆ์ง€ ์—ฐ์‚ฐ์ž Legendre transform,Lagrangian, Hamiltonian energy operator
10:16
86B ๋‡Œํ„ฐ ์ •๋ฆฌ ์—ฐ์†๋Œ€์นญ ์—๋„ˆ์ง€๋ณด์กด, ๊ฐ€์ƒ์ผ ์—ญํ•™์  ์ผ, ํ•ด๋ฐ€ํ† ๋‹ˆ์•ˆ ์—ฐ์‚ฐ์ž Noetherโ€™s theorem, mechanical work, energy & Hamiltonian
11:20
85B ๋‡Œํ„ฐ์ •๋ฆฌ, ์ˆœํ™˜์ขŒํ‘œ ์ผค๋ ˆ ์šด๋™๋Ÿ‰ ๋ณด์กด ๋Œ€์นญ, ๋ผ๊ทธ๋ž‘์ง€์•ˆ, ์ผ€ํ”Œ๋Ÿฌ ๋ฒ•์น™ Noether theorem, symmetry, conjugate variable, Kepler law
10:46
84B ๋‡Œํ„ฐ ์ •๋ฆฌ, ๋ณด์กด๋ฒ•์น™, ์—ฐ์†์ด๋™ ๋Œ€์นญ์„ฑ ์šด๋™๋Ÿ‰, ์–‘์ž์žฅ๋ก  ๋ถˆ๋ณ€์„ฑ ์ „ํ•˜ Noether theorem, conservation, Lagrangian, gauge symmetry
15:36
83B ํ•ด๋ฐ€ํ„ด ์›๋ฆฌ ์ •๋ฅ˜์ , ๊ฐ€์ƒ์ผ ๊ตฌ์†์กฐ๊ฑด, ์ž์œ ๋„ ๊ตฌ์†๋ ฅ, ๋ผ๊ทธ๋ž‘์ฃผ ์Šน์ˆ˜ Least action, constraints Lagrangian, Lagrange multiplier
11:40
82B ๋‰ดํ„ด๋ฒ•์น™, ๊ฐ€์ƒ์ผ, ๋ผ๊ทธ๋ž‘์ง€์•ˆ, ํ™€๋กœ๋…ธ๋ฏน ๊ตฌ์†์กฐ๊ฑด, ๋ผ๊ทธ๋ž‘์ฃผ ์Šน์ˆ˜ Virtual work, holonomic constraints & Lagrange multiplier
12:40
81B ํŒŒ๋™๋ฐฉ์ •์‹, ๋ผ๊ทธ๋ž‘์ง€์•ˆ ๋ฐ€๋„, ๋””๋ž™ ๋ฐฉ์ •์‹, ์–‘์ž์žฅ ํ•ด๋ฐ€ํ„ด ์›๋ฆฌ wave equation, Dirac sea, quantum field & Lagrangian density
12:19
80B ํ›„ํฌ ๋ฒ•์น™ ์—ญํ•™์  ์—๋„ˆ์ง€, ๋‹จ์ˆœ์กฐํ™”, ๋ผ๊ทธ๋ž‘์ง€์•ˆ, ๋‹ฌ๋ž‘๋ฒ ๋ฅด ํŒŒ๋™๋ฐฉ์ •์‹ Hookeโ€™s law, Lagrangian, wave equation, quantum mechanics
13:16
79B ํŒŒ๋™๋ฐฉ์ •์‹ ๋‹ฌ๋ž‘๋ฒ ๋ฅด ์ผ๋ฐ˜ํ•ด, ๋กœ๋ Œ์ธ  ๊ฒŒ์ด์ง€, ๋ฒกํ„ฐ ํผํ…์…œ, ํŒŒ๋™์—ฐ์‚ฐ์ž Lorenz gauge,vector potential,wave equation,d'Alembertian
11:00
78B ํ•ด๋ฐ€ํ„ด ์›๋ฆฌ, ๋ผ๊ทธ๋ž‘์ง€์•ˆ, ๋กœ๋ Œ์ธ  ๋Œ€์นญ, ์ฟจ๋กฑ ๊ฒŒ์ด์ง€ ๋กœ๋ Œ์ธ  ๊ฒŒ์ด์ง€ ํผํ…์…œ Lagrangian, Lorentz symmetry, Coulomb & Lorenz gauge
11:03
77B ๋งฅ์Šค์›ฐ ๋ฐฉ์ •์‹, ์ฟจ๋กฑ ๊ฒŒ์ด์ง€, ๋กœ๋ Œ์ธ  ๊ฒŒ์ด์ง€, ์Šค์นผ๋ผ์™€ ๋ฒกํ„ฐ ํผํ…์…œ Coulomb gauge, Lorenz gauge,Lorents force,Maxwell equation
11:00
76B ๋ผ๊ทธ๋ž‘์ง€์•ˆ, ๋งฅ์Šค์›ฐ ๋กœ๋ Œ์ธ  ํž˜, ๊ฒŒ์ด์ง€ ๋ณ€ํ™˜ ๋ถˆ๋ณ€์„ฑ๊ณผ ๊ฒŒ์ด์ง€ ๋Œ€์นญ Lorentz force, Lagrangian, gauge transformation & symmetry
12:46
75B ํ•ด๋ฐ€ํ„ด ๋ณ€๋ถ„์›๋ฆฌ,๋ผ๊ทธ๋ž‘์ฃผ ๋ฐฉ์ •์‹,๋กœ๋ Œ์ธ  ํž˜๊ณผ ์ „์ž๊ธฐ ๋ผ๊ทธ๋ž‘์ง€์•ˆ Lagrangian stationary action,Maxwell equation & Lorentz force
12:02
74B ํ•ด๋ฐ€ํ„ด ์›๋ฆฌ, ์ตœ์†Œ์ž‘์šฉ ๋ผ๊ทธ๋ž‘์ฃผ ๋ฐฉ์ •์‹, ๊ฐ€์ƒ์ผ ๊ด€์„ฑ๋ ฅ, ์ตœ์†Œ์‹œ๊ฐ„์›๋ฆฌ Hamilton's principle,Lagrangian,virtual work,least action
10:54
73B ํ•ด๋ฐ€ํ„ด์˜ ์ตœ์†Œ์ž‘์šฉ ์›๋ฆฌ, ๋ณ€๋ถ„๋ฒ•, ์˜ค์ผ๋Ÿฌ ๋ผ๊ทธ๋ž‘์ฃผ ๋ฐฉ์ •์‹๊ณผ ๋‰ดํ„ด ๋ฒ•์น™ Hamilton's principle, Lagrange equation,stationary action
12:45
72B ์˜ค์ผ๋Ÿฌ ๋ผ๊ทธ๋ž‘์ฃผ ๋ฒจํŠธ๋ผ๋ฏธ ํ•ญ๋“ฑ์‹, ์ตœ๋‹จ์‹œ๊ฐ„ ๋“ฑ์‹œ ํ•˜๊ฐ•, ํ•ด๋ฐ€ํ„ด ์›๋ฆฌ Lagrange Beltrami identity, cycloid, Hamiltonโ€™s principle
14:15
71B ํ›„ํฌ ๋ฒ•์น™, ๋™์‹œ๊ฐ•ํ•˜ ๊ฐ€์ƒ์ค‘๋ ฅ, ๋‹จ์ˆœ์กฐํ™”์šด๋™, ์ตœ๋‹จ์‹œ๊ฐ„๊ฐ•ํ•˜, ํ•ด์„์—ญํ•™ Hookeโ€™s law, tautochrone,simple harmonic cycloid,Lagrange
11:43
70B ๋ผ๊ทธ๋ž‘์ฃผ ๋ฐฉ์ •์‹, ์‚ฌ์ดํด๋กœ์ด๋“œ, ์ตœ๋‹จ์‹œ๊ฐ„ ๊ฐ•ํ•˜, ๋“ฑ์‹œ ํ•˜๊ฐ•, ํ•ด์„์—ญํ•™ Lagrange equations, cycloid,brachistochrone & tautochrone
11:01
69B ์ตœ๋‹จ์‹œ๊ฐ„ ๊ฐ•ํ•˜ ๊ณก์„ , ์ตœ์†Œ์‹œ๊ฐ„์›๋ฆฌ ๋ณ€๋ถ„๋ฒ•, ์‚ฌ์ดํด๋กœ์ด๋“œ,์Šค๋„ฌ ๋ฒ•์น™ Brachistochrone,cycloid,Snell law & principle of least time
11:45
68B ์˜ค์ผ๋Ÿฌ ๋ผ๊ทธ๋ž‘์ฃผ ๋ฐฉ์ •์‹, ๋ผ๊ทธ๋ž‘์ง€์•ˆ, ๊ด€์„ฑ๋ชจ๋ฉ˜ํŠธ, ๋‰ดํ„ด๋ฒ•์น™ ์ง„์ž์šด๋™ Lagrangian mechanics,generalized coordinates,force, torque
10:52
67B ๋‰ดํ„ด์—ญํ•™, ์˜ค์ผ๋Ÿฌ ๋ผ๊ทธ๋ž‘์ฃผ ๋ฐฉ์ •์‹, ๋‹ฌ๋ž‘๋ฒ ๋ฅด ์›๋ฆฌ, ์ตœ์†Œ ์ž‘์šฉ ์›๋ฆฌ Hamilton's principle,Euler-Lagrange equation,vector,scalar