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
How to
succeed in this course:
Announcements:
HW assignments:
Past Midterm 1 Exams
2012, February  exam  solutions 
2011, October  exam  solutions 
2011, February  solutions  
2010, October  solutions  
2010, February  exam  solutions 
2009, February  exam  solutions 
Past Midterm 2 Exams
2011, November  exam  solutions 
2011, March  solutions  
2010, November  solutions  
2010, March  exam  solutions 
2009, March  exam  solutions 
Past Final Exams (solutions are not available)
2011, December  exam 
2010, April  exam 
2009, December  exam 
2009, April  exam 
2007, April  exam 
Your grade for the course will be computed roughly as follows:
Homework: 10%
Midterms: 40% (20% + 20%)
Final Exam: 50%
Important Notes:
Week  Date  Suggested reading of course material. (For optional reading, the sections in [BoyceDiPrima] are from the 9th edition.) 

1  
Wed. Jan. 2. (First Class) 
Lecture
1 Reading: Complex
Numbers and Exponentials * Selfstudy material: Review of Ordinary Differential Equations , The RLC Circuit (Optional: [BoyceDiPrima, Sections 3.3, 3.4, 3.5]) 

2  Mon. Jan. 7. 
Lecture 2. Reading: Solution
of the Wave Equation by Separation of Variables :
especially, pages 13. See also Solution of the Heat Equation by Separation of Variables Optional: Derivation of the Wave Equation, Derivation of the heat equation in 1D (Optional: [BoyceDiPrima, Section 10.1, 10.5, 10.7]) 

Wed, Jan. 9  Lecture 3. Reading:
Solution
of the Wave Equation by Separation of Variables :
especially, pages 15. See also Solution of the Heat Equation by Separation of Variables Optional: Derivation of the Wave Equation, Derivation of the heat equation in 1D (Optional: [BoyceDiPrima, Section 10.1, 10.5, 10.7]) 

3  Mon. Jan. 14 (HW 1 DUE) Last day to withdraw without a W standing 
Lecture 4. Reading: Solution
of the Wave Equation by Separation of Variables :
especially, pages 15 (also 67). AND Solution of the Heat Equation by Separation of Variables (13). (Optional: [BoyceDiPrima, Section 10.1, 10.5, 10.7]) 

Wed. Jan.16  Lecture 5. Reading: Solution of the Heat Equation by Separation of Variables; especially, pages 34  
4  Mon, Jan.21 (HW 2 DUE) 
Lecture 6.
Reading: Fourier
Series : pages 15. (Optional: [BoyceDiPrima, Section 10.2, 10.3]) 

Wed. Jan. 23 
Lecture 7. Reading: Fourier Series
: pages 110. 1213 (Optional: [BoyceDiPrima, Section 10.2, 10.3, 10.4]) 

5  Mon. Jan.28 (HW 3 DUE)  Lecture 8. Reading: Fourier Series: pages 410. Periodic Extensions  
Wed. Jan. 30  Lecture 9. Reading:
The
Fourier Transform pages
13. 

Thur. Jan 31 Midterm
I at 7pm 


6  Mon. Feb. 4  Lecture 10. Reading: The
Fourier Transform pages 35. Properties of
Fourier transform: linearity, timeshifting, time reversal,
Scaling. (Optional: [Hsu 2nd edition, Chapter 5."Fourier Analysis of ContinuousTime". You can find a lot of worked out examples in pages 210260 in [Hsu, 2nd edition] for Fourier series and Fourier transform. But, it is not a good idea at all, if you just try to see the worked out solutions without your own enough effort to understand the material and to solve the problems. As I said, it will be much more effective if you focus on understanding the material and doing some key examples in the class and in the HW thoroughly. After these, you can practice more, trying to solve additional problems.) 

Wed. Feb. 6  Lecture 11. Reading: The Fourier
Transform pages 46. Properties of Fourier
transform: Scaling, scailing + timeshift, differentiation.
(Optional: [Hsu 2nd edition, Chapter 5."Fourier Analysis of ContinuousTime". You can find a lot of ADDITIONAL examples/exercises to work on in this book: E.g. For Fourier transform exercises for which we have covered so far, see page 223 and on, problems 5.16  5.19, 5.21, 5.40, 5.42, 5.43 (hard), 5.67, 5.71. . ) 

Last day to withdraw with a W standing (course cannot be dropped after this date) : Friday, February 8, 2013 


7 
Mon. Feb. 11 (Family day) 
No class 

Wed. Feb. 13. 
Lecture 12. Reading: The Fourier Transform pages 58.  
8 
Mon. Feb 18 (NO Class) 
Midterm Break  
Wed. Feb. 20 (NO Class) 
Midterm Break  
9 
Mon. Feb. 25 
Lecture 13. Parseval's
relations and Delta functions (Impulse). Reading: The
Fourier Transform pages 7, 1113. (Optional: [Hsu 2nd edition], pages 68. Some additional exercises for delta function: problems 1.24 31 (see page 33 and on).) 

Wed. Feb. 27  Lecture 14.
Convolutions. Reading: The
Fourier Transform pages 812.
(Optional: [Hsu 2nd edition, Chapter 5."Fourier Analysis of ContinuousTime"]. problems 5.20  23, 5.26, 5.28, 5.32, 5.45.) 

10 
Mon. Mar. 4 
Lecture 15. Some
review/examples about F.T. 

Wed. Mar. 6  Lecture 16. Discrete time
signal. Discrete Fourier Series.
DiscreteTime Fourier Series and Transforms pages
13. 

Thurs. Mar. 7
Midterm II at 7pm 

11  Mon. Mar. 11 
Lecture 17. Properties of Discrete Fourier Series. DiscreteTime Fourier Series and Transforms pages 4 and 12.  
Wed. Mar. 13  Lecture 18. Infinite length discrete time signals: important examples. convolution. DiscreteTime Fourier Series and Transforms  
12  Mon. Mar. 18 
Lecture 19. Discrete time Fourier transform (DTFT). Definition, basic examples and properties. DiscreteTime Fourier Series and Transforms  
Wed. Mar. 20  Lecture 20. ztransform. DiscreteTime Linear Time Invariant Systems and zTransforms  
13  Mon. Mar. 25 
Lecture 21. ztransform. DiscreteTime Linear Time Invariant Systems and zTransforms  
Wed. Mar. 27  Lecture 22. ztransform. DiscreteTime Linear Time Invariant Systems and zTransforms  
14  Mon. Apr. 1 (Easter Monday) 
No class 

Wed. Apr. 3 (Last Class)  Lecture 23. ztransform.
practice with LTI and ztransform. 

MATH267:202
Final Exam: 
Exam schedules
have been released. The final exam will be Monday 15Apr at 8:30am 