Math 280 schedule
| Tuesday |
Thursday |
January 15
No class!
| January 17
In Lecture:
- Overview of the course
- The beginning of Shannon entropy
Associated Reading:
Homework #1 due Jan. 24
|
January 22
In Lecture:
- Proof of the existence and uniqueness of Shannon entropy
Associated Reading:
Homework #1 due Jan. 24
| January 24
In Lecture:
- Transmission schemes with efficiency approaching the Shannon bound
Associated Reading:
Homework #1 due Jan. 24, Homework 2 to be posted
|
January 29
In Lecture:
- Transmission schemes with efficiency approaching the Shannon bound (continued)
Associated Reading:
Homework #2 due Feb. 5
| January 31
In Lecture:
- Transmission schemes with efficiency approaching the Shannon bound (continued)
Associated Reading:
Homework #2 due Feb. 5
|
February 5
In Lecture:
- A quick introduction to probability theory
Associated Reading:
| February 7
In Lecture:
- Probability theory, continued
- Applications to the thermodynamics
Associated Reading:
Homework #3, due Feb. 14
|
February 12
In Lecture:
- Schrodinger's approach to statistical thermodynamics
Associated Reading:
| February 14
In Lecture:
- Schrodinger's approach to statistical thermodynamics (continued)
Associated Reading:
| February 19
In Lecture:
- Schrodinger's approach to statistical thermodynamics; the partition function and free energy
Associated Reading:
| February 21
In Lecture:
- Interpreting free energy and entropy.
Associated Reading:
| February 26
In Lecture:
- The variational principle and Gibbs measures
Associated Reading:
| February 28
In Lecture:
- The classical PDE approach to thermodynamics
Associated Reading:
- The following selections from Zemansky's book
- Sections 1.5, 1.6: Temperature is constant on states of a system in thermal equilibrium with another system.
- Sections 2.1 - 2.3: PVT systems
- Sections 3.1 - 3.6: Work in PVT systems
- Sections 4.1 - 4.10: Heat, heat capacities
- Sections 5.1 - 5.6: Ideal Gases, isothermal and adiabatic expansions and contractions
- Section 6.1: Heat engines
- Chapter 7: The Carnot cycle
- Chapter 8: Entropy
| March 12
In Lecture:
- The Carnot cycle, continued
Associated Reading:
| March 14
In Lecture:
- Thermodynamic entropy, continued
Associated Reading:
| March 19
Skype Review session for the mid-term
| March 21
In Lecture:
- Mid term exam
| March 26
In Lecture:
- Demetrius's model of selective advantage
Associated Reading:
- Section 3.1 of Demetrius, pages 14 - 15.
- Section 4.4 of Demetrius, pages 22 - 25
- Warning: The right side of equation (4.18) of Demitrius should have a minus sign rather than a plus sign.
| March 28
In Lecture:
- Demetrius's model of selective advantage
Associated Reading:
- I will work through the example in Section 4.4 of Demetrius, pages 22 - 25
- Warning: The right side of equation (4.18) of Demitrius should have a minus sign rather than a plus sign.
| April 2
In Lecture:
- Fourier transforms of functions on {0,...,N-1}
- Fast fourier transforms
Associated Reading:
| April 4
In Lecture:
- Fourier inversion
- Fourier transforms of convolutions
- Applications to computing products of polynomials and to imaging stars
Associated Reading:
| April 9
In Lecture:
- The Perron-Frobenius theorem
Associated Reading:
| April 11
In Lecture:
- TBA
Associated Reading:
|