| Week |
Lecture |
Subject |
reading |
Week1 |
Lecture1 (1/3) |
Introduction, Population growth, exponential growth |
30-34 |
| |
Lecture2 (1/5) |
Logistic growth model |
37-39 |
| |
Lecture3 (1/7) |
Linear stability |
38 |
| Week2 |
Lecture4 (1/10) |
Growth-rate and Growth model with time delays |
40 |
| |
Lecture5 (1/12) |
linear stability(2) |
41,42 |
| |
Lecture6 (1/14) |
Linear system of ODE |
45 |
| Week3 |
Lecture7 (1/17) |
Holiday (Martin Luther King Jr.)
|
|
| |
Lecture8 (1/19) |
Phase plane of linear system 1 |
46-47 |
| |
Lecture9 (1/21) |
Phase plane of linear system 2 |
|
| Week4 |
Lecture10 (1/24) |
Midterm1 |
NA |
| |
Lecture11 (1/26) |
Predator-prey model |
48-49 |
| |
Lecture12 (1/28) |
Lotka-Volterra
|
50 |
| Week5 |
Lecture13 (1/31) |
Ecological interpretation |
51-52 |
| |
Lecture14 (2/2) |
Traffic flow model, Derivation of conservation law
|
58-61 |
| |
Lecture15 (2/4) |
Fluxs
|
63 |
|
s
| Week6 |
Lecture16 (2/7) |
Conservation of cars, PDE
|
65 |
|
Lecture17 (2/9) |
Chain rule, Method of Charaterisics, solve PDE
|
|
| |
Lecture18 (2/11) |
case study 1 and 2 |
|
| Week7 |
Lecture19 (2/14) |
case study 3(traffic flow) |
|
| |
Lecture20 (2/16) |
review |
|
| |
Lecture21 (2/18) |
2nd Midterm |
|
| Week8 |
Lecture22 (2/21) |
Holiday (Presidents' day) |
|
| |
Lecture23 (2/23) |
summary and transition1
|
|
| |
Lecture24 (2/25) |
Transtion2 |
68, 71 |
| Week9 |
Lecture25 (2/28) |
Transition |
|
| |
Lecture26 (3/2) |
The Shock, Formation of a discontinuity |
|
| |
Lecture27 (3/4) |
Speed of the shock |
72-73,75-76 |
| Week10 |
Lecture28 (3/7) |
Perturbation of uniform traffic |
|
| |
Lecture29 (3/9) |
Computing the shock curve, Summary |
77,78 |
| |
Lecture30 (12/11) |
Reviews |
|
| Final |
3/18 (Friday) |
8:00AM-11:00AM at TBA |
|
