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vpde_2019-20-diary [2020/02/13 14:01] trinh |
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| We covered the computation of scalar integrals and work integrals, doing examples for both. We also covered various properties of curves (reversability, | We covered the computation of scalar integrals and work integrals, doing examples for both. We also covered various properties of curves (reversability, | ||
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| + | ===== Week 2 ===== | ||
| ==== Lecture 4 (11 Feb 2020) ==== | ==== Lecture 4 (11 Feb 2020) ==== | ||
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| * Chap 4: Finishing up the result on work integrals and kinetic energy | * Chap 4: Finishing up the result on work integrals and kinetic energy | ||
| * Chap 5: Parameterisation of surfaces | * Chap 5: Parameterisation of surfaces | ||
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| + | We discussed how surfaces can be parameterised, | ||
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| + | ==== Lecture 6 (14 Feb 2020) ==== | ||
| + | * Chap 5: Finished the proof to the final Lemma about normals to surfaces | ||
| + | * Chap 6: Stated the two main results (flux integral and surface integral) | ||
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| + | We discussed how to interpret surface integrals, and how to calculate the two main surface integrals (a scalar one and a vector one). This involved writing dS as a cross product. We did an example with a sphere. | ||
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| + | ===== Week 3 ===== | ||
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| + | ==== Lecture 7 (18 Feb 2020) ==== | ||
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| + | * A short statement and discussion about the strikes. See the Owen Jones' article [[https:// | ||
| + | * Explanation of the surface integral formula | ||
| + | * Thinking about flux integrals and their interpretation (see [[https:// | ||
| + | * Chap. 7: Divergence and curl | ||
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| + | ==== Lecture 8 (20 Feb 2020) ==== | ||
| + | * Finishing up the curl and divergence | ||
| + | * Doing more examples on (i) the computation of surfaces and normals; (ii) the computation of flux integrals | ||
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| + | ==== Lecture 9 (21 Feb 2020) ==== | ||
| + | * Continued examples on (i) the computation of surfaces and normals; (ii) the computation of flux integrals | ||
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