Class: Mon & Wed  9:00 -- 10:30 at Buchanan  A104
Office hours: Mon. Wed. 2pm --2:50pm at MATH 235 until April 5. or by appointment (email at yhkim "at"  math "dot" ubc 'dot' ca)
First class: Wednesday, Jan 04, 2012
Last class: Wednesday,  Apr 04, 2012  

Course Outline

Announcements:

• April 11: practice-final-2007-04-sol, practice-final-2009-12 sol,     practice-final-2011-04-sol
• April 11: HW 10 solution is posted.
  
• April 5: formular sheet for the final: formula-sheet for the final exam.
  
• April 5: Practice final exams:  practice-final-2007-04, practice-final-2009-12, practice-final-2011-04, practice-final-2011-12. 
  
• April 1: Final exam:   Monday, April 16th at NOON 12 noon -- 2:30pm (2 and 1/2 hours) AT  HEBB TH.
• April 1: HW 10 ( Not to hand-in) is posted.
  
• April 1: The Math Learning Centre (MLC) will be open for all students who need help studying mathematics, from April 10th to 24th (excluding weekends), 9AM -- 9PM.
• April 1 : HW 9 solution set is posted. Some typos are corrected (in red color).
  
• March 24: HW 9, typos in 1 (c)  and 2 (c) are corrected.
  
• March 23: HW 8 solution is posted. One typo  (in Problem 3 (c)) is corrected from the email version.
  
• March 22: HW 9 is posted. HW 8 Problem 7 had typo, which is now fixed in red color.
  
• March 18: HW 8. Obvious typo in Problem 5 is fixed (in red color)
  
• March 14: HW 8 (due March 21 in Class) is posted.
  
• March 12: In the midterm II, you will be given this formula sheet for midterm II. (two pages)
  
• March 12: Additional typo in HW 7 (problem 3 (a)) has been corrected.
  
• March 10: Solution set to HW 7 is now posted: there are some corrections in red colour. 
• March 10:  Practice-MidtermII-1-solution   and   Practice-MidtermII-2-solution.                    
  
• March 3:  Midterm II will be on  Wed. March 14  In Class.  Here are some practice problems from previous terms: Practice-MidtermII-1. and       Practice-MidtermII-2. The solutions will be posted on Saturday,  March 10. In the midterm II, you will be given a formula sheet including properties of Fourier transform as in page 14 in the online notes The Fourier Transform.
  
• March 3. HW 7 typo in Problem 2 (a) is corrected.
• March 3. HW 6 solutions: typos are corrected.
  
• March 1. HW 7 is posted. There have been changes (in red). Basically there are more hints in Problem 4. Also, a typo is corrected in Problem 3 (b) 
  
• March 1. HW 6 solution set is posted.
  
• Feb. 27. A new reference (an ebook in UBC library) is added: see Other useful references below
  
• HW 6: Corrected typo in Problem 1, the definition of sinc.
  
• HW 6: Corrected typos in Problem 4 (b) (c).
  
• HW 5 solution: changes in the solution for Problem 5. 
• Midterm survey for the course: please answer the survey questions by Feb 17th. You will need password sent by an email to you.
  
• HW 5: A few typos were corrected in Problem 1 and 2 (b). See the new file. Correction is in red.
  
• Solutions: Practice-Midterm-1-solution. Practice-Midterm-2-solution.
  
• Jan 28:  Midterm I will be on  Mon. Feb. 6  In Class.  Here are some practice problems from previous terms. Practice-Midterm-1. Practice-Midterm-2. The solutions will be posted on Thursday,  Feb 2.   In the midterm, you will be given this formula sheet.
  
• Jan 28: HW 4. There have been changes for the hints (only for hints).
  
• Jan 28: HW 3 solution (corrected version) is posted.
  
• Jan 26: HW 4 is posted.
  
• Jan 21: There were typos in HW 3, Problem 2 (in the definition of f(x))  and Problem 3 (b) (in the formula for sinA cos B), which are fixed now.
  
• Jan 19: HW 3 and HW2-solution are posted below.
  
• Jan 16: There is a change in HW 2 Problem 6 (a)!
  
• Jan 15: Regular office hours are now set up: Mon. Wed. 2pm --2:50pm at MATH 235 until April 5.
  
• Jan 15. There was a typo in HW 2, Problem 5. It should have only one set of boundary conditions, involving the  derivatives in x. It is now corrected. Please see the updated file. (Mistake found thanks to Donald.)
• Welcome!
  

HW assignments:

• HW 10 (Not to hand in):  (Note that most part of z-transform (examples, properties, casuality, stability, inverse z-tranfom) will be covered in April 2 and 4 in Class.)
  
• Do #4 in  http://www.math.ubc.ca/~feldman/m267/prob10.pdf, Solution 
  
• and all problems in  http://www.math.ubc.ca/~feldman/m267/prob11.pdf,  Solution
  
• and problems #4, #5, #6(b), #7, #8,  #9 in http://www.iam.ubc.ca/~sospedra/a10MATH267.pdf.  Solution
  

• HW 9.  (due March 28 in Class). Typos in 1(c) and 2(c) are corrected. Solution.  
  
• HW 8. (due March 21 in Class).  HW 8 Problem 7 had typo, which is now fixed in red color. Solution.     
  
• HW 7. (due March 7 in Class). There have been changes (in red). Basically there are more hints in Problem 4. Also, a typo is corrected in Problem 3 (b). Solution <-- typos are corrected
  
• HW 6.  (due Feb. 29 in Class). Corrected typo in Problem 1, the definition of sinc.  Corrected typos in Problem 4 (b) (c). Solution <--- typos are corrected.
  
• HW 5. (due Feb 15 in Class).  A few typos were corrected in Problem 1 and 2 (b). See the new file. Correction is in red.  Solution <--- This solution set is a corrected version of what I sent you by email: changes in the solution for Problem 5.
  
• HW 4. (due Feb 1 in class). There are changes (only) in the hints. Solution
  
• HW 3  (due Jan 25 in class).  There were typos in HW 3, Problem 2 (in the definition of f(x))  and Problem 3 (b) (in the formula for sinA cos B), which are fixed now. Solution.  <-- This solution set is a corrected version of what I sent you by email: changes in the solutions for  Problem 2 and 4.
  
• HW 2   (due Jan. 18 in Class). Typo in Problem 5 is corrected (Jan 15). Change in problem 6 (a) (Jan 16): initial condition is now sine instead of cosine. Solution. 
  
• HW 1 (due Jan. 11) . (Jan. 9. Problem 6 is changed: the variable is now t.):  Solution
  

• Alan Oppenheim, Alan Willsky "Signals and Systems". This is the course textbook for EECE 359.  Chapters 4, 5 & 10 are relevant.
  
• Richard G. Froese, "Partial Differential Equations", UBC M257/316 Lecture notes free on the Web at http://www.math.ubc.ca/~rfroese/notes/Lecs316.pdf
• New reference: Steven Karris"Signals and Systems with MATLAB Computing and Simulink Modeling (4th Edition)"   Available in UBC online library: go to http://site.ebrary.com/lib/ubc/docDetail.action?docID=10223892   Parts of Ch 7 -- 10 are relevant to the course.
  

1. Complex Numbers. (l lecture):  Complex Numbers and Exponentials ]
2. Review of ordinary differential equations. (1 lecture):  Review of Ordinary Differential Equations , The RLC Circuit 
3. Introduction to partial differential equations - wave and diffusion equations.(1 lecture): Derivation of the Wave Equation,  Derivation of the Telegraph Equation,       Derivation of the Heat Equation 1D    
4. Method of separation of variables. ( 2 lectures):  Solution of the Wave Equation by Separation of Variables ,  Solution of the Heat Equation by Separation of Variables
5. Introduction to Fourier Series. (3 lectures): Fourier Series (version of Feb 4, 2007)],  Periodic Extensions
6. Applications of Fourier Series to circuits. (1  lecture)
   
7. The Fourier transform with applications. (3 lectures):  The Fourier Transform(version of Feb 25, 2007),  Using the Fourier Transform to Solve PDE's ]
8. The Dirac delta function and convolutions. (1 lecture)
   
9. The telegraph equation.  (1 lectuere)
   
10. Discrete Fourier transform. (3 lectues):  Discrete-Time Fourier Series and Transforms ] (version of Mar 21, 2007)
11. The z-transform.  (4 lectures):   Discrete-Time Linear Time Invariant Systems and z-Transforms (version of Apr 4, 2007)

• Midterm 1: Mon. Feb. 6  In Class
• Midterm 2: Wed. Mar. 14. In Class
  
• The date of the final exam is yet to be declared. Do not make any travel plans until the exam schedule
  has been announced.
• There are no make-up midterms but if you miss a midterm for a legitimate reason (e.g. illness, with a doctor's note), allowances will be made.
• Calculators are not permitted on the midterms and the final exam.
• Students will be required to bring Photo ID to all tests and exams.

Homework Assignments Policy: Careful work on the assignments is the best way to prepare for the midterms and the final exam.

• HW's are due on most Wednesdays in Class.
  
• Late homework is not accepted.
• Unreadable homework will not be marked.
• Work must be shown.
• Missed homework will count as a zero mark.
• There is a total of nine assignments but only the best eight will count towards your final grade.
• 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 known only after the due date), you will get zero mark. So, it would be better for you to do all the problems to be handed in.

Grading

Your grade for the course will be computed roughly as follows:
Homework: 15%
Midterms: 35% (17.5% + 17.5%)
Final Exam: 50%
Important Notes:

• All marks are subject to scaling. This ensures fairness of the final grades across the sections.
• 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.

• The Math Learning Centre (formerly the Math Tutorial Centre) is now open in LSK 100, 9AM-7PM Monday-Thursday and 9AM-4PM on Friday.
  The Math Learning Centre is: - a comfortable study space for any student working on mathematics, - a place where students can receive support from our team of graduate students, - really nice and welcoming, with natural light and plenty of room.
  The Math Learning Centre is not:
  - a place where students go to get answers for their homework.
  

• Drop-in tutorial information
• Registration Assistance Sessions