Class: Mon & Wed  14:00 -- 15:30 at Mathematics 100
Office hours: Mon & Wed 11:00 - 12:30 at my office MATH 216.
First class: Wednesday, Jan 02, 2013
Last class: Wednesday,  Apr 03, 2013 

Course Outline

How to succeed in this course: 

• It is very important to learn mathematics by "doing". For example, it is not enough to read a worked out example from a book or lecture notes. It is not enough to understand each step in the solution. You have to struggle to work out examples or problems by yourself, without looking at the solutions.
  

Announcements:

• Welcome!
• For Midterm I (location, formula sheet, etc), see below in the exam section.
  
• Midterm I solutions are available here. 
  
• To ask change of the marking of your exam, you have to follow a certain procedure. Namely, if you have any complaint on the marking, you first study the solution provided very carefully, and then give me a written note to explain in detail what was wrong in the marking.  I will handle only such written notes.
  Such a note should be handed in as soon as possible no later than Monday, Feb. 25.
  
• Midterm II (location, formula sheet, etc), see below in the exam section.
• Midterm II solutions are available here.
  
• Regular office hours schedule is until for Wed. April 3. I will have some office hours during exam period -- the schedule to be announced.
  
• 
  

HW assignments:

• HW 1 Due Mon. Jan 14 in Class. Staple your HW paper!  HW1-solutions.
  
• HW 2 Due Mon. Jan 21 in Class. HW2-solution-1, HW2-solutions-2.
  
• HW 3 Due Mon. Jan 28 in Class. HW 3-solutions  
  
• HW 4 Due Wed. Jan 30 in Class. HW 4-solutions  (Note the Wed due date, before the midterm I.)
• HW 5 Due Wed. Feb. 13 in Class. HW 5-solutions. correction of HW 5 solutions.
  
• HW 6. Due. Wed. Feb. 27 in Class.   HW 6-solutions.   (This may have some typos, so be careful when reading this.)
  
• HW 7. Due. Mon.  March 4 in Class. (Note the Mon due date, before the midterm II.) HW 7-solutions (This may have some typos, so be careful when reading this.)
• HW 8. Due. Wed. March 20 in Class. HW 8-solutions.  Typos in Problems 3 (b) and 5 (b) are corrected (in red color). 
  
• HW 9. Due. Wed. March 27 in Class. HW 9-solutions.
• HW 10. This is only for practice. NOT to hand in. HW 10-solutions.  (Some typos in the solution have been corrected. Be careful when reading the solution.)
  

•  "Elementary Differential Equations & Boundary Value Problems" by Boyce & DiPrima is widely available. 
   Chapters 10 & 11 cover the first four weeks of course material.  
  
• "Signals and Systems" (Schaum's outlines) 2nd edition by Hwei Hsu,  McGraw Hill. Chapters 1, 2, 4, 5, and 6 cover the later part of the course. This inexpensive book contains a lot of worked out examples. Warning: The notation in this book could be a bit different from Feldman's lecture notes. 

• Alan Oppenheim, Alan Willsky "Signals and Systems". This is the course textbook for EECE 359.  Chapters 4, 5 & 10 are relevant.
  
• 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. (Self-Reading material):  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. ( 3 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. (3 lecture)
   
9. Discrete Fourier transform. (4 lectues):  Discrete-Time Fourier Series and Transforms ] (version of Mar 21, 2007)
10. The z-transform.  (3 lectures):   Discrete-Time Linear Time Invariant Systems and z-Transforms (version of Apr 4, 2007)

• Midterm 1: Thursday 31-Jan; 7-8pm. The location: HEBB Room 100.  You should contact the instructor before Jan 16, if you will not be able to write the midterm for a legitimate reason (e.g. overlap with other UBC class/exam).  Your exam will include this formula sheet. Compare these with the ones you are familiar with.
  

• Midterm 2: Thursday 7-Mar; 7-8pm. The location: HEBB Room 100.   You should contact the instructor before Feb 6, if you will not be able to write the midterm for a legitimate reason.  Your exam will include this formula sheet. Compare these with the ones you are familiar with. 
  
Draft list of topics is available here.
No calculators or other notes will be allowed!


• Final Exam:  The final exam will be Monday 15-Apr at 8:30am. Location: SRC C .   Final exam will be for 150min (i.e. 2hr 30min).  This formula sheet will be given.  Topics: All course material, including midterm 1, midterm 2 and after midterm 2.  No calculators or other notes will be allowed.
  

• 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.

Past Midterm 1 Exams

Past Midterm 2 Exams

Past Final Exams (solutions are not available)

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 either Monday or Wednesday in Class.
  
• Late homework is not accepted.
• Unreadable homework will get a zero mark.
• Work must be shown.
• Missed homework will count as a zero mark.
• There is a total of nine assignments to be turned in, 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: 10%
Midterms: 40% (20% + 20%)
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