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Foundations

Natural deduction

Rigour with intuition

Beautiful stuff

Puzzles:

Finite differences:

Asymptotic expansions:

Smoothing:

Multi-dimensional analysis:

  • Multi-dimensional IVT, which proves:
    • Poincaré–Miranda theorem
    • Ham sandwich theorem [consider all hyperplanes that bisect one piece]

Inversion:

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30 What to do about students who miss my lectures and then want me to repeat entire material? Mar 5 '17
10 Is it acceptable to mark off or comment on someone's presentation based on their non-standard English accent? Nov 3 '19
9 Is there any good reason to write “it is easy to see”? May 12 '19
8 What are the ethical implications of lying to get into a course? Dec 10 '19
7 A student in my course does well on exams, but doesn't do the homework: Go easy on them, or make them “pay the price?” Nov 24 '15
5 Professor does not care about cheating, what should TA do? Oct 7 '18
4 Is it standard for a math research paper to include less detail in proofs than a typical textbook would? Sep 4 '17
4 Thesis Advisor conundrum May 8 '16
3 How to choose a good grading curve for yes/no exams? Jun 16 '18
3 One of my student researchers is likely falsifying some results/data. What are the consequences? Jun 2 '16
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