Theory of Partial Differential Equations: Fall 2016
Math 412
Important Notifications
 There will be no class on Nov 8. The homework are due Nov 10.
They might take more time than usual.

The midterm exam is on October 18. The topics covered are those from Week 1  6 (i.e. homeworks 16).

The exam 2 is on December 1. The topics covered are those from Week 7  11 (i.e. homeworks 712).
Important Dates

Midterm Exam : October 18

Exam 2 : December 1

Final: December 9, 12:30  2:30 pm.
Extra material
The second exam together with the solutions can be downloaded here.
Here are the snapshots of the fourier series I discussed in class:
Homeworks (Due September 6)
Chapter 1.3

1, 3

Chapter 1.4

1(b and g), 3,10

Chapter 1.5

5,8,11,14 + Read appendix if needed

Return only (excuse my french)

1.4.3 and 1.4.10

Honors

+ 1.5.8 and 1.5.14

Homeworks II (Due September 13)
Chapter 2

2.2, 3.2(a and c), 3.3 (a,b and d), 3.5, 4.3, 4.4

turn in

2.3.3 (b), 2.4.3

Honors

+ 2.4.6 and 2.3.3 (d)

Homeworks III (Due September 20)
Chapter 2

4.4 (again), 4.6, 4.7(b), 5.3(a)

turn in

2.4.7(b)

Honors

+ 2.5.3(a)

Homeworks IV (Due September 27)
Chapter 3

2.1 (a,c,e), 2.4, 3.4,3.9, 3.18, 4.6,4.7

turn in

2.1(e) and compute the fourier serie for the function in 2.1(c)

Honors

+ 3.4.7

Homeworks V (Due October 4)
Chapter 3

4.8 and 4.12 Hint: in both exercises do not look for a cosine series but use the appropriate extension (which leads to the cosine series), 4.9, 6.1

turn in

4.12 but do not look directly for a cosine series, instead find the apropriate extension.

Honors

+ Read Section 3.5 and exercise 3.5.1

Homeworks VI (Due October 11)
Chapter 4

4.3 but use the technique discussed in class (extension...), 4.7, 4.8, 4.9, 4.12

Chapter 8

5.3, 5.4, 5.5(b)

turn in

4.4.3

Honors

+ 8.5.3

Homeworks VII (Not collected)
Chapter 10

2.1, 2.2, 3.1(a), 3.2(a), 3.8, 4.3(a)

Homeworks VIII (due Nov 1)
Chapter 10

6.1(a), 6.10.

turn in

all

Honors

+ none

Homeworks IX (due Nov 10)
Chapter 10

5.1, 5.2, 5.12, 5.17

Chapter 12

2.2, 2.5(a)

turn in

5.12, 12.2.2, 12.2.5(a)

Honors

+ 5.6, 5.17

Homeworks X (due Nov 17)
Chapter 12

2.3, 2.5(b), 2.7, 3.1, 3.4,

turn in

2.5(b)

Honors

+ 2.7

Homeworks XI (no need to return)
Chapter 12

4.2, 4.3, 6.1(all), 6.4

turn in

none

Honors

+ none

Homeworks XII (Due November 29  optional but would replace one of your bad hw)
Chapter 12

6.7(a,c,d), 6.9(a), 6.16, 6.18

turn in

6.18 (a,b)

Honors

+ none

Material Covered week after week
Week 1

Syllabus, Sections 1.1, 1.2, 1.3, 1.4, 1.5

Week 2

Sections 2.1, 2.3.1, 2.3.2, 2.3.3, 2.3.4, 2.2, 2.3.5

Week 3

Sections 2.4, 2.5.1 and 2.5.2

Week 4

Sections 3.1,3.2,3.3,3.4

Week 5

Sections 3.4, 3.6 + own notes about using the fourier series to solve the 1D heat equation.

Week 6

Sections 4.1, 4.2, 4.3, 4.4, 8.5

Week 7

Sections 10.1, 10.2, 10.3

Week 8

Midterm + Sections 10.3, 10.4

Week 9

Midterm solutions + Sections 10.6.1 + 10.5.2

Week 10

10.5.3, 10.5.4, 10.5.5, 10.6.3, 12.1, 12.2.2, 12.3.1, 12.3.2

Week 11

12.3.3, 12.4, 12.5, 12.6.1, 12.6.2, 12.6.3, 12.6.4

Week 12

6.1, 6.2, 6.3.1, 6.3.2, 6.3.3 + Exam 2

