Announcements

• Attention! Schedule of Office Hours:

  12/2/2009	12/3/2009	12/4/2009	12/5/2009	12/6 – 12/14	12/15	12/16
  1 - 2:30	1 – 4:30	2 – 4:30	By appointments	By emails	1 – 4:30	9 – 12

• Attention! Chapter 7 in Evans is optional (that is, if problems about Chapter 7 appears in the final, they will carry extra points).
• Attention! Homework 6 posted here. Due Dec. 2, 2009 in class.
• Homework 5 posted here. Due Nov. 18, 2009 in class.
• Slight time change on lectures: Nov. 9 4 - 4:50; Nov 16 4 - 4:50; Nov 18 3 - 4:50.
• Homework 4 posted here. Due Nov. 4, 2009 in class.
• Oct. 12. Homework 3 posted here. Due Oct. 21, 2009 in class.
• Oct. 1. Next Monday (Oct. 5)'s lecture is 3pm - 4:20pm in CAB365.
• Oct. 1. Lecture note Wave Equation II updated (A mistake in the first paragraph corrected).
• Sep. 28. Homework 2 deadline extended. Now due Monday Oct. 5.
• Sep. 24, 2009. Lecture note Heat Equation II updated (Remark 2 is wrong and thus deleted).
• Sep. 22, 2009. Homework 2 posted here. Due Sep. 30, 2009 in class.
• Our first quiz will be Mon. Sep. 21 in class. Remember that quizzes are open book/notes. Quiz 1 will cover the same material as Homework 1.
• Sep. 9, 2009. Homework 1 posted here. Due Sep. 16, 2009 in class.

• Course Syllabus: http://www.math.ualberta.ca/~xinweiyu/527.1.09f/syllabus.html (PDF version: here).

• Grading & Homework Policy:

  • Final: 60%; Homework: 30%; Quiz: 10%.
  • For other details, see syllabus.

• Lecture Schedule, Assigned Readings, and Supplemental Material.

  • Note: “Supplemental material” will only be involved in “optional” problems in the homeworks.

  Week	Dates	Topic (Lecture Notes)	Readings	Supplemental Material	Homeworks/Quizzes
  1	Sep. 2	Introduction	1	Salsa 2.4 – 2.6, Smoller 1.
  2	Sep. 9	Transport Equation	2.1, 3.2*		Homework 1 (Sol)
  3	Sep. 14	Laplace's Equation I	2.2.1, 2.2.4	337 Week 11, 527(2008) Lec 4
  	Sep. 16	Laplace's Equation II	2.2.2-3,2.2.5
  4	Sep. 21	Heat Equation I	2.3.1, 2.3.3b,c		Quiz 1 (Sol)
  	Sep. 23	Heat Equation II	2.3.2, 2.3.3a, 2.3.4		Homework 2 (Sol)
  5	Sep. 28	Wave Equation I	2.4.1, 2.4.2
  	Sep. 30	Wave Equation II	2.4.3
  6	Oct. 5	Method of Characteristics	3.2		Quiz 2 (Sol)
  	Oct. 7	Hamilton-Jacobi Equation I	3.3.1, 3.3.2
  7	Oct. 14	Hamilton-Jacobi Equation II	3.3.3		Homework 3 (Sol)
  8	Oct. 19	Conservation Law I	3.4.1
  	Oct. 21	Conservation Law II	3.4.2–5
  9	Oct. 26	Similarity Method	4.2		Quiz 3 (Sol)
  	Oct. 28	Asymptotics	4.5		Homework 4 (Sol)
  10	Nov. 2	Sobolev Spaces I	5.2, 5.3	5.1
  	Nov. 4	Sobolev Spaces II	5.4, 5.5
  11	Nov. 9	Sobolev Spaces III	5.6, 5.7	5.8, 5.9	Homework 5 (Sol)
  12	Nov. 16	Elliptic Equations I	6.1–6.3**	6.2.3
  	Nov. 18	Elliptic Equations II	6.4		Quiz 4 (Sol)
  13	Nov. 23	Elliptic Equations III	6.5
  	Nov. 25	Parabolic Equations	7.1		Homework 6 (Sol)
  14	Nov. 30	Hyperbolic Equations	7.2		Quiz 5 (Sol)
  	Dec. 2	Hyperbolic System	7.3

  • Remarks

    • *: Linear and quasi-linear cases.
    • **: Fredholm alternative (6.2.3) not included.