Module Notes and Demos
 getspeech.m Needed for
course Mfiles, this is the platform independent way to
read the .wav files here.
 Blank PDF Pages: Blank PDF
pages
 "WAV"files : [ enter(female)
enter(male) erase(female) help(female) w(female) zero(female) one(male) ] The only useful
information on the front page of each module below is
the relevant sections in the P&M Text and the
relevant Matlab demo files. The rest of the front page
of each module should be ignored. The goal is to work
through three modules per week, or 1.5 modules per
lecture, on average. Additional modules will be added on
material towards the end of the course coverage.

Weeks 1. DiscrteTime Signals and Systems Basics
 Module 1a: Text Outline
Scan; Text Chap. 1
Scan; Module 1a;
Matlab demo: aliaseg.m,
DiscreteTime Signal
Basics (301);
DiscreteTime System Basics (301)
 Module 1b: Module1b;
Matlab Demo on Simple Difference Equation: notcheg.m
 Module 2: Supplemental
Notes on DT Convolution (301);
Convolution Examples from
Undergradate Text (301);
 DT
Convolution Derivation: Visuals;
 Matlab Convolution Example: ConvEg.m
 Impulse
Properties Plus Convolving with Delta Function (301);
Implications of
Linearity and TI as Pertaining to Convolution (301);
 P&M Text Chap. 2,
Part 1 Scan ; P&M
Text Chap. 2 Part 2 Scan ;

Weeks 2. Autocorrelation and CrossCorrelation
 Basics of
Autocorrelation ; Text
Chap. 2 Part 2 Scan ; Module
2 ;
Autocorrelation
Properties: Proofs ; Additional
Properties of Autocorrelation
 Autocorrelation
Pet Problem On many old exams :)
 Matlab for Barker Codes: BarkerCodes.m
 Matlab for MLSR PN sequence: M15.m
 PPT file on GPS Basics with Key Figures: GPS Basics ; GPS Basics (pdf)
 Link for GPS Tutorials: GPS
Tutorial ; GPS
Tutorial 2
 Application To CDMA
; Application to CDMA Wireless Applications
 CDMAeg1.m, cdmaeg.m, gold1.m,
gold2.m; gold3.m.
 Add'l CDMA Matlab Example: walsh_cdma_eg.m;
 Mixed_CT_DT_Autocorrelation.pdf
; Autocorrelation of CT Signal formed from DT Sequence

Week 3. ZTransform and DT Fourier Transform (DTFT)
 Link
for ECE 438 Notes on ZTransform Undergraduate
Review
 ZTransform Basics Basics
of ZTransform ; ZTransform Basics Part 2: Connection to
Laplace Transform ; Module 3: Module 3
Text Chap. 3, Part 1 Scan
(pdf) Text Chap. 3,
Part 2 Scan (pdf)
 Module 4: Module 4, Graphical
Frequency Response Example ; Chap. 5
Graphical Frequency Response (pdf); notcheg2.m,
 Basics: Sinewave
Input to LTI System
 DT Fourier
Transform: Properties Pairs (Text Tables 4.5 and 4.6)
 ECE 301
Handout on DTFT
 Module 5: Module 5 Chap. 5 Notch Filters
(pdf) ; zpgui.m, zpgui3.m,
Note on AllPass Filters;
AllPassFilter.m,
 Difference
Equation for AllPass Filters
 Autocorrelaton Revisited: Energy Density Spectrum: Energy Density
Spectrum.

Week 4. Properties of DTFT; CTFTDTFT Relationship
 CT Fourier
Transform: Properties/Pairs; DT Fourier Transform:
Properties/Pairs;
 ECE 301
Handout on DTFT
 DT Fourier
Transform: Properties Pairs including Sinewaves
 The two sets of notes below will be covered in
parallel.
 Ideal D/A
Conversion ; Derivation
of CTFTDTFT Relationship;
 New Handout on Basic Sampling Theory Sample Time
Invariance
 CTFTDTFT
relationship for Sampled Sinewave
 SampleSinewave.m ;
SampleSincProduct.m
; SampleGaussian.m ; SampleSincProductAboveNyquist.m
 Scan of First
Section of Text Chap. 6; Scan of Undergrad 301
Text Chap. 7;
 aliaseg2.m, aliaseg3.m, ; CTFT_DTFT_Upsample.m
CTFTDTFT Illustration
 The 3 modules below cover the textbook's derivations
of Sampling Theory and Ideal A/D Conversion that
essentially avoids the use of Dirac Delta functions. We
will not cover these modules in class. If you want, you
can review them on your own while reading Text Chap. 6.
Module 6, Module 7a, Module 7

Week 5. D/A Conversion Featuring Digital Upsampling
 Digital Upsampling Introduction Initial Insights
into Digital Upsampling
 Module 8: Intro to Digital
Upsampling upsamplex2eg1.m;
 VIP Multirate Formulas: VIP_MultirateFormulas.pdf
 Module 9: Module 9 ; upsample2eg2.m, upsamplex2eg2.m, ZOHeg2.m,
 Insights on Efficient Upsampling: Final Words
on Efficient Upsampling;
 Efficient Upsampling by 3 with Polyphase Filters: upsamplex3.m,
 Efficient Upsampling by 3 with Polyphase Filters: upsamplex3R.m,


Week 6: Digital Subbanding and SSB/VSB Filtering
 VIP Multirate Formulas: VIP_MultirateFormulas.pdf
 Module 11: Efficient
Downsampling and Frequency Division Multiplexing,
subbandeg3.m
 Module 12: Digital
Subbanding: Transmultiplexers Multiplex3Sigs.m
 Transmultiplexers: Efficient Digital Subbanding: Efficient
Digital Subbanding of 3 Signals, Multiplex3Sigs.m ; Multiplex3SigsR.m
 Additional Insights Into Efficient Digital
Subbanding:
Post Upsampling Modulation
 Final Words on Digital Subbanding: Final Words on
Digital Subbanding, Multiplex3SigsAlt.m
; Multiplex4SigsAlt.m
 Final Notes on Digital Subbanding: More Final
Notes on Digital Subbanding ;
 Multiplex3SigsReal.m
; Multiplex4SigsReal.m
 Supplemental
Notes on Hilbert Transform;
 Supplemental Notes on
Single Sideband Modulation; hilbert301eg.m
 Supplemental
Notes on VSB modulation; VSB Modulation
with Complex RaisedCosine Filter;


Week 7: Perfect Reconstruction Filter Banks
 Perfect Reconstruction Filter Banks (PRFB): Introductory Notes
on PRFBs, Efficient Implementation: PRFB4chanNewEff2017.m
 Notes on TwoChannel PR
Filter Bank ; Summary
Page 2Channel PRFB ;
 Notes on SquareRoot RaisedCosine Spectrum: ContinuousTime
SquareRoot RaisedCosine Spectrum ; To get
evenlength symmetric halfband filter, replace time
variable t by T_s /4 + n T_s /2 ; PRRC2chan.m
 Solve Problem 1 from Final Exam Fall 2012 to see why
these work: PR3DFTchan.m ; PR5DFTchan.m
 Noble's Identities. Proofs of Noble's
Identities ;
 Powerpoint presentation on TwoChannel (Halfbands)
Perfect Reconstruction Filter Bank:
PPT file on Quadrature Mirror Filter Bank ; PDF file ;
 Wkipedia
Page on JPEG 2000 (Digital Cinema)
 Wkipedia
Page on Subband Coding (Compression)
 Image_compression_wavelets_jpeg2000.pdf



Special Topics Week.
 OFDM Day: OFDM Lecture
; OFDM_SimpleEg.m, OFDM Exam Example ;
 Matlab Demo: OFDM_SimpleEg.m
 The NxN DFT Matrix ; Chap4_DFTsinewaves.pdf

 Module 13: Analysis of
Quantization Error quantizeb2.m.


Week 8. DFT and FFT: Fast Fourier Transform.
 The DFT Matrix: The NxN DFT
Matrix
 Module 20: DecimationinTime Radix 2 FFT: Module 20;
 DFT_Matrix8.jpg, DFT_Matrix16.jpg, dftmatrix8.jpg, dftmatrix8.pdf, dftatrix16.jpg, dftatrix16.pdf,
 DFT_MatrixColors.m,
DFT_MatrixColors.fig
; dftcolor.m,
 Text: Radix 2 FFTs Sect.
8.1.3 Radix 2 FFTs
 Use FFT to Compute IDFT FFT
to Compute Inverse DFT
 Text: Divide and Conquer Chap 8: Divide &
Conquer Approach
 Module 21: Module 21 DivideConquer.m
 Module 22: Module 22 timealias.m,

Week 9. Sampling in the Frequency Domain.
 My notes on
Frequency Domain Sampling Notes (Chap 7) ;
 SpectrumReconstruction.m
VIP Help for Matlab Hmwk 3
 Exam3Test.m VIP Help for
Exam 3 for nice DFT problems exploiting timedomain
aliasing
 Ultimate DFT Pair ;
 Text notes on
Properties of the DFT.
 Notes on DFT
Based Processing.
 DFT of a
FiniteLength Sinewave.
 sineDFTeg1.m sineDFTeg2.m, sineDFTeg3.m,
 Basic DFT Pair.; Observations on
DFT based processing of finitelength sinewaves
; CosineAliasing.m
 Text notes on
DFT based Linear Filtering.
 Time Domain
Aliasing of MultiPole Causal Signals.
 Text
notes on overlapadd and overlapsave AND DFT "tricks"
for realvalued signals ; Computation Count for DFT
Based Linear Filtering.
 Mfile for efficient Computation of DFT of two
realvalued sequences plus efficient computation of
2Npt DFT of realvalued sequence. EFF_FFT_Real.m
 Illustration of overlapsave method using FFT's: OverlapSaveEff.m
 Fourier
Transform of Finite Length Sinewaves
 Spectrogram Examples: voweleg.m
; voweleg2.m ; vowelwin.m . 0af1s1t0.wav ; 0ef1s1t0.wav
 Module 23: Module 23 windowseg.m, trunceffects.m, windowseg2.m, windowedsines.m,

Week 10. IIR Digital Filter Design.
 Module 14: Module 14 ;
Classic Analog Filter Designs Analog Filter Designs
 EllipticFilters,
Butterworth
Filters, Chebyshev
Filters,
 Module 15: Module 15
 Module 16: Module 16 buttereg.m, chebyeg1.m, chebyeg2.m, ellipeg.m;

Week 11. FIR Digital Filter Design.
 Note on Linear Phase FIR Filters Linear Phase FIR
Filters
 Module 18: pdf , Text: Equiripple FIR Filter
Design FIRlowpasseg.m,
FIRbandpasseg.m,
 Module 19: Module 19 deriveg.m, deriveg2.m,
hilberteg.m,

Week 12. Parametric Spectral Estimation.
 Module 24: Module 24
 Speech Models and Linear Predictive Coding SpeechLPC.
 Module 25: Condensed Overview/Derivation of AR and
ARMA spectral estimation methods: pdf. Illustrative
Example of Linear MMSE estimation: pdf. Module 25 SOSextrap.m, SOSviaAR.m, ARspecest.m.
 Link
for
Last lecture of LPC Compressions for Speech ; LPC Lecture


Week 13.
 Module 26: Module 26 SOSestviaAR.m, ARMAviaAR.m.
 Module 28: Modul 28
Derivation of LevinsonDurbin Algorithm: pdf. Minus sign on RHS of
last eqn at bottom of last page should be plus sign.

Week 14.
 Module 29: Module 29
Notes on MA(q) random process: pdf.
YWvsULS.m, ARMA2stepest.m,
 Module 30: Module 30 MinVarforSOS.m, MinVarforARMA.m.
 Derivation of LevinsonDurbin Algorithm. pdf. Minus sign on RHS of
last eqn at bottom of last page should be plus sign.

Week 15.
 Module 28: Adaptive Filtering. pdf
 Module 29: pdf NoiseCancel.m.

Week 16.
 Module 29: pdf AdaptCancel.m.
 Module 30: pdf MinVarforSOS.m.
 Module 31: pdf CancelTone.m.
 Module 32: pdf FIRequalizer.m. Prob529.m.
 Module 33: pdf AdaptEqualize.m.
You need Adobe Acrobat Reader 2.1 or later to view PDF
files. The latest version is available freely at www.adobe.com. 
Homeworks and Solutions

Homework Problems from Proakis Text
 Hmwk #1: Problems: 1.6, 1.7, 1.8, 1.9, 1.11, 2.10,
2.11, 2.13, 2.45, 2.46, 2.61. Solution: pdf

 Hmwk #2: Problems: 3.43, 3.49, 3.51, 7.3, 7.4, 7.7.
Solution: pdf

 Hmwk #3: Problems: 4.51, 4.32  change input to
x[n]=sin(pi n /4) / (pi n), 4.47, 4.49, 4.50, 4.76(a),
4.93, 4.100. Solution: pdf

Matlab Based Homeworks
 Matlab Hmwk #1: *VIP Assigned*: Friday, Oct. 5.
Oncampus students MUST turn in a paper printout.
Offcampus students can email me a pdf file or word doc.
The problem is 2.65 in the textbook with several
modifications to the problem as it is posted in the
textbook: Problem 2.65
Statement, Modifications
; M15.m . Recommend against using
the matlab command "xcorr" to do the crosscorrelation
 just use convolution to do correlation as in the CDMA
examples posted at the course web site: ryx =
conv(y,x(end:1:1)) and throw away the first first M1
values of ryx (where M is the code length) since those
correspond to negative timeshifts and the problem only
asks you to plot for positive timeshifts.

 Matlab Hmwk #2.**VIP** Due: Monday, Nov. 20. MatlabHmwk2F16.pdf .
 QMF (M=2 subbands) using SRRC Halfband Filter PRRC2chan.m;
 Noble's Identities. Proofs of Noble's
Identities ;
 M=4 subbands based on RootRaised Cosine Halfband
Filter and TreeStructure PRRC4chan.m
 M=4 subbands based on TwoTap {1,1} Halfband Filter
and Tree Structure PR4chan.m
 Summary Page for
TwoChannel PR Filter Bank ;
 QMF using SRRC Halfband
Filter
 Analog RootRaisedCosine(SRRC)Spectrum: CT SRRC Spectrum ;
To get halfband filter, replace time variable t by T_s
/4 + n T_s /2
 M=3 subbands PR Filter Bank Using Length 3 sinewaves
as subband filters: PR3DFTchan.m,
 M=5 subbands PR Filter Bank Using Length 5 sinewaves
as subband filters: PR5DFTchan.m
 Image_compression_wavelets_jpeg2000.pdf

 Matlab Hmwk #3: P&M Prob. 7.29, 7.30. DUE
DATE: Friday, Dec. 9 (last day of classes) Matlab 3: Two text
Problems from Chap. 7. .
 NOTE: Prob. 7.30. f_1 = 1/128 NOT 1/18  typo!
 Also, plot magnitude of DFT in each case.
 Note: Prob. 7.29, for parts (b) and (c), use
reconstruction formula (7.1.13) on pg. 453.
 Prescription for
what to plot ; VIP: use Matlab code below

SpectrumReconstruction.m Key Matlab code for
Prob. 7.29
 My notes on
Frequency Domain Sampling Notes (Chap 7) ;
 (b) Use N=21 rather than N=20, and use the sequence
x[n]=a^nD, n=0,1,...21, where D=(N1)/2=10. Multiply
X(w) in problem statement by linear phase term exp(jDw)
with D10.
 (c) Use N=101 rather than N=100, and use the sequence
x[n]=a^nD, n=0,1,...100, where D=(N1)/2=50. Multiply
X(w) in problem statement by linear phase term exp(jDw)
with D=50.
 (e) Use the timedomain aliasing formula in (7.1.4)
on page 450. Use three terms: x[nN] + x[n] + x[n+N],
for n=0,1,...N1. Plot what this formula yields on the
same graph as a plot of the IFFT of N samples of the
original spectrum in the interval from 0 to 2pi.

VIP Information for Exam 1

 Example Autocorrelation Problem: Example
Autocorrelation Problem ; CTFTDTFT for Sampled
Sinewaves
 Useful Sinc Function Results UsefulSincFunctionResults.pdf
 Add'l Table of DTFT Pairs Including Sinewaves
DT Fourier
Transform: Properties Pairs inc. Sinwaves
 Sinewaves thru LTI System Sinewaves Thru LTI
Systems (covered) ; Sinewave Input to
LTI System

 Notes on AllPass Filters/Signals Notes on AllPass Filters
 Notes on Autocorrelation/CrossCorrelation
(covered)
Autocorrelation Properties/Proofs ; Additional
Properties of Autocorrelation ; Example
Autocorrelation Problem ; Energy Density
Spectrum

 Exam 1 Problems on Notch Filter as Parallel
Combination of Two AllPass Filters NotchFilterAllPassFilter.pdf
 Fall 2008, Prob. 2.
 Fall 2004, Prob. 2.
 Fall 2002, Prob. 2.
 Exam 1 Problems on PoleZero Cancellation PoleZeroCancellation.pdf
; Addl
Notes on First Order Difference Equations
 Fall 2001, Prob. 2.
 Fall 1998, Prob. 2.
 Exam 1 Problems on Sampling a CT Digital
Communications Signal to obtain a DT System: CT_Signal_to_DT_System.pdf
 Fall 2007, Prob. 3.
 Fall 2006, Prob. 2.
 Fall 2005, Prob. 3.
 Fall 2000, Prob. 3.
 Fall 1999, Prob. 3.
 Old Exam 1 Problems on Autocorrelation and
CrossCorrelation
 Fall 2009, Prob. 2.
 Fall 2008, Prob. 3.
 Fall 2006, Prob. 1. Key problem. Additional
Properties of Autocorrelation
 Fall 2004, Prob. 1. part (g)
 Exam 1 Problems on CrossCorrelation for CDMA
 Fall 2007, Prob. 1. OVSF
 Fall 2005, Prob. 1. 4PAM.
 Fall 2003, Prob. 1. 4PAM.
 Fall 2002, Prob. 1. QPSK, complex codes
 Fall 2000, Prob. 1. BPSK, basic problem.


Fall 2017 Exam Information

 Final Exam 2017: Final
Exam 2017

 Exam 1: Exam 1 ; Exam 1 Solution; Exam 1 Statistics;
Addendum Notes;

 Exam 2: Exam 2 ; Exam 2 Solution; Exam 2 Statistics

 Exam 3: Exam 3 ; Exam 3 Solution; Exam 3 Statistics

Fall 2016 Exam Information

 Final Exam Fall 2016: Final
Exam 2016 ; Final
Exam Solution;
 Final Exam: 4.5 problems :) OFDM, efficient digital
upsampling, frequency domain sampling and timedomain
aliasing, aspects of the bilinear transform
 Final Exam: Tuesday, Dec. 13, 79 pm, PHYS 223
 Example of Bilinear Transform Problems: Final Fall
2008, Exam 2 Fall 2005, Exam 3 Fall 2004, Exam 2 Fall
2002, Exam 2 Fall 2001, Exam 2 Fall 2000
 Exam 3: Exam 3; Exam 3
Solution: Exam 3 Solution
; Exam 2 Statistics:
Exam 3 Statistics
 Exam 2: Exam 2; Exam 2
Solution: Exam 2 Solution
; Exam 2 Statistics: Exam 2 Statistics
 Exam 1: Exam 1 ; Exam 1 Solution; Exam 1 Statistics;

Fall 2015 Exam Information


 Final Exam Fall 2015: Final
Exam
2015; Final Exam
Solution 2015; FinalExamProb.m;
FinalExamProb2.m; FinalExamAliasing.m;

 Final Exam Fall 2015: Final
Exam 2015; Final
Exam Solution 2015; FinalExamProb.m;
 Final Exam Fall 2015: Final
Exam 2015;
 Exam 3: Exam 3 ; Exam 3 Solution; Exam 3 Statistics;
 Exam 2: Exam 2 ; Exam 2 Solution; Exam 2 Statistics;
 Exam 1: Exam 1 ; Exam 1 Solution; Problem 1 Addendum;


Fall 2014 Exam Information

 Final Exam Fall 2014: Final
Exam 2014;
 Final Exam Solution;

 Exam 3: Blank Exam 3; Exam 3 Solution; Exam 3 Statistics; Exam 3 Statistics;
 Partial Final Exam
Solution;

 New Handout on Basic Sampling Theory Sample Time
Invariance
 Exam 2: Exam 2 Solution;
Exam 2 Statistics;

 Exam 1 Exam 1 Solution:
Exam 1 Solution



Fall 2013 Exam Information

 Final Exam Final Exam
 Final Exam Solution
Final Exam Solution

 Exam 3 Exam 3 Solution:
Exam 3 Solution

 Exam 2 from Fall 2013. Exam
2 Solution: Exam 2
Solution.

 Exam 1 from Fall 2013: pdf
; Soln: Exam 1 Solution
; ; OnCampus Stats: Exam
1 Histogram ;


Fall 2012 Exams plus Solutions
 Final Exam for Fall 2012: pdf

 Exam 3 from Fall 2012: pdf
; Soln: Exam 3 Solution

 Exam 2 from Fall 2012: pdf
; Soln: Exam 2 Solution
; OnCampus Stats: Exam
2 Histogram ;

 Exam 1 from Fall 2012: pdf
; Soln: Exam 1 Solution;
OnCampus Stats: Exam 1
Histogram

Fall 2011 Exams plus Solutions

 Final Exam from Fall 2011: pdf

 Exam #3 from Fall 2011: pdf
Soln: Exam 3 Solution.

 Exam #2 from Fall 2011: pdf
Soln: Exam 2 Solution.
Histogram of scores: Histogram
 KEY MATERIAL FOR EXAM 2: Efficient
Digital Subbanding of 3 Signals, Multiplex3Sigs.m
 Final Words on Digital Subbanding: Final Words on
Digital Subbanding, Multiplex3SigsAlt.m

 Exam #1 from Fall 2011: pdf
Soln: Exam 1 Solution.
Histogram of scores: Histogram


Fall 2010 Exams plus Solutions

 Final Exam from Fall 2010: pdf

 Exam #3 from Fall 2010: pdf
Soln: Exam 3 Solution.
Histogram of scores: Histogram

 Exam #2 from Fall 2010: pdf
Soln: Exam 2 Solution.
Histogram of scores: Histogram

 Exam #1 from Fall 2010: pdf
Soln: Exam 1 Solution.
Histogram of scores: Histogram


Fall 2009 Exams plus Solutions

 Final Exam from Fall 2009: pdf

 Exam #3 from Fall 2009: pdf
and Exam 3 Solution ;
jpg.

 Exam #2 from Fall 2009: pdf
and Exam 2 Solution

 Exam #1 from Fall 2009: pdf
Soln: pdf.



Fall 2008 Exams plus Solutions

 Final Exam from Fall 2008: pdf.

 Exam #3 from Fall 2008: pdf
Soln: pdf. Histogram: jpg.

 Exam #2 from Fall 2008: pdf
Soln: pdf.

 Exam #1 from Fall 2008: pdf
Soln: pdf.



Fall 2007 Exams plus Solutions

 Final Exam from Fall 2007: pdf.

 Exam #3 from Fall 2007: pdf
Soln: pdf.

 Exam #2 from Fall 2007: pdf
Soln: pdf.

 Exam #1 from Fall 2007: pdf
Soln: pdf.


Fall 2006 Exams plus Solutions

 Final Exam from Fall 2006: pdf.

 Exam #3 from Fall 2006: pdf
Soln: pdf.

 Revised Exam #2 from Fall 2006: pdf Soln: pdf.

 Exam #1 from Fall 2006: pdf,
Soln: pdf. Histogram: pdf.


Fall 2005 Exams plus Solutions

 Final Exam from Fall 2005: pdf. Soln: pdf. Or: pdf.

 Exam #3 from Fall 2005: pdf,
Soln: pdf.

 Exam #2 from Fall 2005: pdf,
Soln: pdf. Histogram: pdf.

 Exam #1 from Fall 2005: pdf,
Soln: pdf. Histogram: pdf.


Fall 2004 Exams plus Solutions

 Final Exam from Fall 2004: pdf.

 Exam #3 from Fall 2004: pdf,
Soln: pdf.

 Exam #2 from Fall 2004: pdf,
Soln: pdf.

 Exam #1 from Fall 2004: pdf,
Soln: pdf.



Fall 2003 Exams plus Solutions

 Final Exam from Fall 2003: pdf.

 Exam #3 from Fall 2003: pdf,
Soln: pdf. Histogram
& Score Stats: pdf

 Exam #2 from Fall 2003: pdf,
Soln: pdf. Histogram
& Score Stats: pdf

 Exam #1 from Fall 2003: pdf,
Soln: pdf. Histogram
& Score Stats: pdf


Fall 2002 Exams plus Solutions

 Final Exam from Fall 2002: pdf.

 Exam #3 from Fall 2002: pdf,
Soln: pdf. Alternative
Soln to Problem 3 (c): pdf. Extra
Review Problem from recent QE: pdf. Only look
at 1st problem; second problem relevant to Final

 Exam #2 from Fall 2002: pdf,
Soln: pdf. Supplemental
Soln: pdf.

 Exam #1 from Fall 2002: pdf.
Solution to Prob. 2: pdf;
Supplemental Notes: pdf;
For Problem 3, see soln to Prob 1 of Exam 2 from Fall
99: pdf. Histogram of
Scores for Exam 1: E1Hist_Off.pdf;
E1Hist_On.pdf


Fall 2001 Exams plus Solutions

 Final Exam from Fall 2001: pdf.

 Exam #3 from Fall 2001: pdf
ps, Solution: pdf.

 Exam #2 from Fall 2001: pdf
ps, Solution: pdf

 Exam #1 from Fall 2001: pdf
ps, Solution: pdf

Fall 2000 Exams plus Solutions

 Final Exam from Fall 2000: pdf.
 Exam #3 from Fall 2000: pdf
ps, Solution: pdf Histogram: pdf

 Exam #2 from Fall 2000: pdf
ps, Solution: pdf Histogram: pdf

 Exam #1 from Fall 2000: pdf
ps Solution: pdf Histogram: pdf


Additional Practice Exams
 Final Exam from Fall 1999: pdf
ps Solution: pdf
 Final Exam from Fall 1998: pdf
ps Solution: pdf
 Exam #3 from Fall 1999: pdf
ps Solution: pdf
 Exam #3 from Fall 1998: pdf
ps Solution: pdf
 Exam #3 from Fall 1995 (only Probs 3 and 4 are
relevant to our Exam 3): pdf ps Solution: pdf
 Exam #3 from Fall 1996: pdf
ps Solution: pdf

 Exam #2 from Fall 1999: pdf
ps Solution: pdf
 Exam #2 from Fall 1998: pdf
ps Solution: pdf
 Exam #3 from Fall 1996: pdf
ps Solution: pdf
 Exam #2 from Fall 1995 (only Probs 1 and 3 are
relevant to our Exam 2): pdf ps Solution: pdf
 Exam #3 from Fall 1995 (only Probs 3 and 4 are
relevant to our Exam 2): pdf ps Solution: pdf

 Exam #1 from Fall 1998: pdf
ps Solution: pdf
 Exam #1 from Fall 1999: pdf
ps, Solution: pdf, pdf
