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| − | = The Wolverhampton Lectures of Physics | + | = The Wolverhampton Lectures of Physics = |
| − | The [[Mathematics]] part of [[the Wolverhampton Lectures of Physics]]. | + | = MATHEMATICS = |
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| + | The [[Mathematics]] part of [[the Wolverhampton Lectures of Physics]] gives some introduction from scratch to the most useful Maths required to do Physics at the University level. It starts from basics of manipulations of numbers to extend the idea to abstract mathematical objects, including cats defined as vectors! (something we do in [[quantum mechanics]]). It also covers the essential of linear algebra and the theory of differential equations. | ||
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| + | The Lectures are so far available in a preprint [[pdf]] version: '''[[:File:physics-uow-MATHEMATICS.pdf|Download HERE]]'''. | ||
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| + | At the occasion of the [[covid]] pandemic, I have recorded some of these lectures given for the [[2020-2021]] cohort of level-4 students, which I later decided to release on [[YouTube]] where they are now publicly available as follows: | ||
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| + | # [https://www.youtube.com/watch?v=frJ10fmNRQo The Platonic Universe] | ||
| + | # [https://www.youtube.com/watch?v=9dhEbzZn6-4 Arithmetic and Algebra] | ||
| + | # [https://www.youtube.com/watch?v=imd_npki9y8 Logic and Sets] | ||
| + | # [https://www.youtube.com/watch?v=QNMvFum0tjw Complex Numbers] | ||
| + | # [https://www.youtube.com/watch?v=Kh5Vnlzi0BI Vectors] | ||
| + | # [https://www.youtube.com/watch?v=V6k8kofOvO4 Functions] | ||
| + | # [https://www.youtube.com/watch?v=g5IQSEV-JCY Infinities] | ||
| + | # [https://www.youtube.com/watch?v=CqW-yUim1eQ Infinitesimals] | ||
| + | # [https://www.youtube.com/watch?v=MYxj8dknFzs Composite and Inverses] | ||
| + | # [https://www.youtube.com/watch?v=0Qux70NDSZY Taylor Expansions] | ||
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| + | # <ol start=11><div style="color:black; position:relative; left:-50px;"> | ||
| + | # [https://www.youtube.com/watch?v=980xGs1dL3w Bra and Kets] | ||
| + | # [https://www.youtube.com/watch?v=GW-OvvqsTjY Integrals] | ||
| + | # [https://www.youtube.com/watch?v=OPyOe-hutXo Basis] | ||
| + | # [https://www.youtube.com/watch?v=2tc8VYUoYD4 Linear Functions] | ||
| + | # [https://www.youtube.com/watch?v=ubDQTgJUf-8 Inverses and Determinants] | ||
| + | # [https://www.youtube.com/watch?v=F2XsXH7HtQI Eigensystems] | ||
| + | # [https://www.youtube.com/watch?v=OYfqXxAPVnk Fourier Series] | ||
| + | # [https://www.youtube.com/watch?v=oN4g3l2oo4Q Differential Equations] | ||
| + | # [https://www.youtube.com/watch?v=Eh_UbQdddIg Wronskians] | ||
| + | # [https://www.youtube.com/watch?v=uKtNA_P_-ho Jacobians] | ||
| + | # [https://www.youtube.com/watch?v=T7k17Ct5FeM The Equations of Physics]</div></ol></div> | ||
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The Mathematics part of the Wolverhampton Lectures of Physics gives some introduction from scratch to the most useful Maths required to do Physics at the University level. It starts from basics of manipulations of numbers to extend the idea to abstract mathematical objects, including cats defined as vectors! (something we do in quantum mechanics). It also covers the essential of linear algebra and the theory of differential equations.
The Lectures are so far available in a preprint pdf version: Download HERE.
At the occasion of the covid pandemic, I have recorded some of these lectures given for the 2020-2021 cohort of level-4 students, which I later decided to release on YouTube where they are now publicly available as follows:
Or by titles:
| Table of Contents Mathematics for Physicists
|
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