My notes
- Statistical approach to creating and grading exams
- Some mathematics in music
- An orchestra as a collection of boundary value problems
- The Ladder Theorem and beyond (“elementary” geometry)
- Fundamental Theorems of Various Branches of Mathematics
- Gamma and Beta functions
- Asymptotic integration
- Exact relations among probability distributions
Math notes by other people
- Lambert’s W function
- Stirling with upper and lower bounds
- About planimeters: a summary, pictures, detailed pictures: polar and linear, polar: animation, Animation of the Moving Segment/Area Difference Theorem, math paper
Pictures
- For experts only
- When the obvious pattern breaks: the Bernoulli triangle and the related math story
- When the test scores are normally distributed
- Physics can be bad or worse or better or even clear
- Physicists can also joke
- No optional material
- On handwriting
- How to write Greek letters (by Olga Korosteleva, CSULB)
- 1^2+2^2+…+n^2=n(n+1)(2n+1)/6
- 1^3+2^3+…+n^3=(1+2+…+n)^2
- Study of prime numbers: When an explicit formula does not help so you need a joke
- An egg?
- Two spirals; Jakob Bernoulli ended up with the wrong one!
- When a strict local martingale hits in the wallet
- The famous picture of water mechanics and modern animation
- The complicated math behind a boat
- Some quantum mechanics: artwork, confusion, real life, the cat theme: 1, 2, 3, 4, 5, 6.
- Some math in popular culture: SpongeBob, Simpsons, Maxwell in vacuum and medium, the famous school
- Careful with calculators: Round-off error1, Round-off error2
- Random structures in real life. Gaussian Fields: Ice Cave, Stones-1, Stones-2; Corner growth: Iceland beach, Ireland beach, Armenian mountains; Poisson point process: Chewing gum on a sidewalk in Reykjavík
Music-inspired topics
- What would you rather play: this or this and this?
- What would you do with this tune? The sound. THE answer and an alternative.
- A different musical challenge Close-up
- Gramophone Close-up
- Multi-scale phenomena: materials, music
- Math and Music (and Physics and History)
- Classical music to the rescue [study help?]
Other notes by other people
Puzzles
- Read and count
- Grade K level
- Contingency table
- Meaning of time
- Impossible problem: version 1 [with a hint], version 2
- Good notations make a difference: question and answer
- How dangerous is this?
- What comes next? Can you drive it? Where did you park?
- Math, Econ, and Law
- Intelligence, artificial vs natural: a question, answer 1, answer 2, answer 3
- A physics puzzle and a partial explanation
- Another famous physics/math problem