WebCT Vista webpage: https://www.vista.ubc.ca

Introduction to partial differential equations; Fourier series; the heat, wave and potential equations; boundary-value problems; numerical methods.

Instructor: Young-Heon Kim.
Office: MATH 235.  Email:  yhkim "at" math "dot" ubc 'dot' ca

Class:  Mon Wed Fri  11:00--12:00 Mathematics Annex 1100
Office hours (subject to change): Mondays 2pm--3:50pm at Math 235, or by appointment. For appointment at other time,  please email at yhkim "at"  math "dot" ubc 'dot' ca

First class: Wednesday, January 5.  Last class: Wednesday,  April 6.

Course syllabus

• Jan. 4. There is a change to the two midterm dates (Feb 11 and March 18) and HW submission dates (Wednesdays, starting from Jan 12) and. See below. 
• Jan 4. HW 1 is now posted. Due, Wed, Jan 11.
  
• Jan 6 (Friday). HW 1 Problem 6 will NOT be graded. (That is, only Problems 1, 2, 3, 4, 5 will be graded.)
• Jan 12. Office hours are set-up: Mondays 2pm-- 3:50pm at Math 235 (my office)
• Jan 12. HW 2 is now posted. HW 1 solution set is now posted.
  
• Jan 12. Review power series. Be familiar with the operations with them. see e.g. http://tutorial.math.lamar.edu/Classes/DE/PowerSeries.aspx
  especially, http://tutorial.math.lamar.edu/Classes/DE/PowerSeries.aspx#Index_Shift
• Jan 24. Typo in the notes Lecture 10. page 51 in equation (8.2). It should be read as " ........= Constant = - \lambda^2" <--- Here, \lambda means the Greek letter 'lambda' and ^2 means sqaure.
  
• Jan 28. Please parcitapate in the online survey.  The link is here http://www.surveymonkey.com/s/85Z7YBS      You need the password I have sent to you in a separate email. This survey will be closed on Wednesday. Your participation is important for us.
  
• Feb 11. Final exam date is now decided. Tue APR 19, 3:30pm, (duration 150min.) Location to be determined.
  
• March 1. There was a typo/mistake in HW 6, Problem 4(b). The corrected HW is now posted. For Problem 4 (b), you can hand in it in the class on Friday, March 4. For other problems (up to Problem 4 (a)), the due date is Wed, March 2.
  
• 
  

• HW including spreadsheet projects (15%),   Two Midterms (17.5% each),   Final exam (50%) 
  
• HW including spreadsheet project (15%),   Best of Two Midterms (15%),   Final exam (70%)

• Homework will be collected at the beginning of lecture each Wednesday starting on Jan 12.
• Homework will be collected ONLY IN CLASS: for example, I will NOT accept homework submission at my office. This policy is to motivate students keep attending the lectures. 
  
• Late homework will not be accepted.
  A missed homework will result in 0 mark.
  Two lowest homework grades will be dropped in computing the final grade.
• Your homework should be written in a clear manner so that the grader can understand easily what you are doing. Also it should be handwritten neatly. Unreadable or very hard to read homework may get zero or very low mark.
• You are encouraged to discuss the homework with other students, but you must produce and write the solutions on your own.
  
• It is probable that only a subset of those problems turned in would be graded, and you will not be informed (in advance) which ones these are. For example, if your homework does not contain any of the problems to be graded (which will be decided after the deadline), you will get zero mark. So, it would be better for you to do all the problems to be handed in.

• The midterms will be held during class hours on February 11 (Friday) and March 18 (Friday).
• No make-up midterms!
  
• Missing a midterm normally results in a mark of 0. Exceptions may be granted ONLY with
  prior consent of the instructor, and with official documentation supporting the student’s reason for
  missing the exam. In case of a medical emergency, the instructor must be notified within 48 hours
  of the missed test, and presented with a doctor’s note immediately upon the students return to UBC.
  A physician’s note should specifically state that the student was medically unfit to write the missed
  exam on that specific day.
  
• The date of the final exam is yet to be declared. Do not make any travel plans until the exam schedule
  has been announced.
  
• IT IS ESPECIALLY IMPORTANT that students know that IF THEY DO NOT FULFILL THE COURSE REQUIREMENTS DURING THE TERM (including not writing the midterm test(s) even if you agree to transfer the weight to the final) AND THEN MISS THE FINAL EXAMINATION, THEY MAY BE DEEMED INELIGIBLE FOR A DEFERRED FINAL.
  
• Students will be required to bring Photo ID to all tests and exams. 
• Calculators, books, or aids of any kind will NOT be allowed in midterms or in the final. 
• Complaint of the mark on the midterm exams should be made right at the time you get the exam back. Later claims will NOT be considered.
  

• Introduction to Partial Differential Equations (PDE) (1 hour)
• The heat (10.5), wave (10.7), and Laplace (10.8) equations 
• Some Review (2 hours)
  
  • Review of ODE methods (especially 2.1-2.2, 3.1-3.4) 
  • Review of sequences, series, power series, \& Taylor series (5.1)
    
• Series Solutions of Differential Equations (6 hours)
  
  • Series solutions at ordinary points (5.1-5.3)
  • Regular singular points (5.4-5.7) 
• Introduction to Computation Using Spreadsheets (4 hours)  
  
• Fourier Series and Separation of Variables (13 hours)
  
  • The heat equation and Fourier series (10.1-10.6) 
  • The wave equation (10.7) 
  • The Laplace equation (10.8)
    
• Boundary Value Problems and Sturm-Liouville Theory (7 hours)
  
  • Eigenfunctions and eigenvalues (11.1) 
  • Sturm-Liouville boundary value problems (11.2) 
  • Nonhomogeneous boundary value problems (11.3)