MthSc 434, Spring 2012
# MthSc 434, Spring 2012

"You see this little hole? This moth's just about to emerge. It's in
there right now, struggling. It's digging it's way through the thick
hide of the cocoon. Now, I could help it - take my knife, gently widen
the opening, and the moth would be free - but it would be too weak to
survive. Struggle is nature's way of strengthening it."

--Locke (*Lost*, 2004)

**Instructor**: Dr. Matthew
Macauley

**Class**: Advanced Engineering Mathematics

### Resources

### Homework

Homework 1: pdf |
tex. Due
Tuesday, January 24th at 4pm.

Homework 2: pdf |
tex. Due
Tuesday, January 31th at 4pm.

Homework 3: pdf |
tex. Due
Tuesday, February 7th at 4pm.

Homework 4: pdf |
tex. Due
Tuesday, February 14th at 4pm.

Homework 5: pdf |
tex. Due
Monday, February 27th at 4pm.

Homework 6: pdf |
tex. Due
Friday, March 2nd at 4pm.

Homework 7: pdf |
tex. Due
Friday, March 9th at 4pm.

Homework 8: pdf |
tex. Due
Thursday, March 15th at 4pm.

Homework 9: pdf |
tex. Due
Tuesday, April 3rd at 4pm.

Homework 10: pdf |
tex. Due
Thursday, April 12th at 4pm.

Homework 11: pdf |
tex. Due
Tuesday, April 17th at 4pm.

Homework 12: pdf |
tex. Due
Thursday, April 26th at 4pm.

### Class lecture notes

Section 1:
Some Linear Algebra.
*14 pages. Last updated March 21, 2012.* (Class notes: Chapters
1.2.7--12.)

Section 2:
Linear Differential Equations.
*16 pages. Last updated February 7, 2012.* (Class notes: Chapters
1.2.1--6. Zill/Cullen 3.1.2--3.)

Section 3:
Power Series Solutions to ODEs.
*11 pages. Last updated February 7, 2012.*

Section 4:
Fourier Series.
*20 pages. Last updated March 7, 2012.* (Class notes: Chapter 2
2. Zill/Cullen 12.1--4.)

Section 5:
Boundary Value Problems and Sturm-Liouville Theory.
*8 pages. Last updated March 21, 2012.* (Class notes: Chapter
3. Zill/Cullen 3.1.1, 12.5.)

Section 6:
One-dimensional Partial Differential Equations.
*13 pages. Last updated April 3, 2012.* (Class notes: Chapters 4
and 5. Zill/Cullen 13.1--4.)

Section 7:
Higher Dimensional PDEs.
*11 pages. Last updated April 17, 2012.* (Class notes: Chapters
6. Zill/Cullen 13.5.)

Section 8:
PDEs in Other Coordinate Systems.
*10 pages. Last updated April 24, 2012.* (Zill/Cullen 14.1, 14.2,
14.3)

### Midterm solutions

Midterm 1

Midterm 2