1. Show that for any number r 6= 1,
1 + r + r2 + + rn =
1 rn+1
1r
2. Which of the following expressions would be used to determine the partial fraction
decomposition of
1
?
(x2 1)(x2 + 3)
B
Cx + D
A
+
+ 2
x1 x+1
x +3
(b)
A
B
Cx + D
+
+ 2
2
x 1 (x 1)
x +3
Math 231 Worksheet #23 Solutions
1. Which is larger, 3
or 34 ?
4
Solution:
3
(3)(3 1)(3 2)(3 3)
3456
=
=
= 15
4!
4!
4
3
3(3 1)(3 2)(3 3)
=
=0
4
4!
P

n
2. If limn ccn+1
=
3,
then
what
is
the
radius
of
convergence
for
n=0 cn (x + 4) ?

n
Solution:
R
Math 231 Worksheet #18 Solutions
1. (Ratio test and Radius of convergence.)
P
an+1
n
(a) Consider a power series
a
x
.
Suppose
that
lim
n an = L. What is
n=0 n
the radius of convergence of the power series?
Solution:
an+1 xn+1 an+1 an+1
x
=
Ra
ECE 391 MP1 Grade Sheet
Comments (10)
Full Interface for each function
Commenting within function bodies
_/5
_/5
Compilation (10)
No errors/warnings in userlevel test harness compilation
No errors/warnings during kernel compilation
_/5
_/5
Style (10)
Goo
Math 231 Worksheet #24 Solution
1. Consider the following.
x = et ,
y =t+3
Eliminate the parameter to find a Cartesian equation of the curve. Then sketch the
curve and indicate with an arrow the direction in which the curve is traced as the
parameter incr
Math 231 Worksheet #21 Solutions
1. You have a mystery function f . You know the following about it:
1
f (1) = 2, f 0 (1) = 0, f (2) (1) = 5, f (3) (1) = 1, f (4) (x) = x
x5
1
Write an algebraic expression that approximates f (2) to at least 100
accuracy.
Math 231 Worksheet #17 Solutions
P
1. Can you use the Ratio test to determine the convergence of
n=1
not?
Solution:
1
4
an+1
4
n
= lim (n+1) = lim
Ratio Test: lim
=1
n
an n 1 n n + 1
1
.
n4
Why or why
n4
Ratio Test is inconclusive and so no.
P
P
Math 231 Worksheet #22 Solutions
1. (Dif. Eq). Power series can be used to solve differential equations. Suppose that a
country has at time t a population p(t), and that the rate of change of the population
is given by p0 (t) = 2p(t).
(a) If we represent
Math 231 Worksheet #16 Solutions
1. Determine if the series is absolutely convergent, conditionally convergent or divergent.
X
n2 n + 1
(a)
n5 + 300n3 + 2
n=0
Solution:
2
Since nn5 = 1n this series will diverge by limit comparison with the divergent
P 1
MIPS IV Instruction Set
Revision 3.2
By Charles Price
September, 1995
Copyright 1995 MIPS Technologies, Inc.
ALL RIGHTS RESERVED
U.S. GOVERNMENT RESTRICTED RIGHTS LEGEND
Use, duplication, or disclosure of the technical data contained in this
document by t
ECEN 621  HW#3: Please answer the following questions:
1)
Differentiate between LAN and WAN.
Scope of a LAN is smaller
o LAN interconnects devices within a single building or cluster of buildings
LAN usually owned by organization that owns the attached
8/19/13
Geany
Geany
A fast, light, GTK+ IDE
Authors: Enrico Trger
Nick Treleaven
Frank Lanitz
Colomban Wendling
Matthew Brush
Date: 20130519
Version: 1.23.1
Copyright 20052012
This document is distributed under the terms of the GNU General Public Licen
1
Assignment 5 EE 3320/5320
Digital Communications
Submission on
11/09/2013
Note: Only the first problem is to be submitted. Interested students may discuss the solutions of the
other problems with me.
1) For two equiprobable, equienergy pulses g1 (t) and
1
Assignment 2 EE 3320/5320
Digital Communications
Submission on
19/08/13
Note: The mpmath,numpy and scipy python libraries would be useful in SAGEMATH. Use of SAGEMATH is mandatory. Mr. Sachin Kumar (B.Tech final year) will evaluate the assignment.
1) Pl
1
Assignment 3 EE 3320/5320
Digital Communications
Submission on
26/08/13
Note: The mpmath,numpy and scipy python libraries would be useful in SAGEMATH. Use of SAGEMATH is mandatory. Mr. Sachin Kumar (B.Tech final year) will evaluate the assignment.
1) Co
1
Assignment 7 EE 3320/5320
Digital Communications
1)
2)
3)
4)
Submission on
After 27/09/2013
Verify the simulation and approximate analytical SER for 8PSK.
Repeat the exercise for 16PSK.
Plot the approximate SER for 8, 16,32 and 64 PSK on the same grap
1
Assignment 8 EE 3320/5320
Digital Communications
Submission on
10/10/2013
1) Prove Chernoff bound for the Qfunction.
2)
3)
4)
5)
1 x2
(1)
Q (x) e 2 .
2
Find the modulation schemes used in digital video broadcast (DVB), 2G, 3G and 4GLTE cellular
system
1
Assignment 4 EE 3320/5320
Submission on
Digital Communications
Note: This assignment is not to be submitted. It is meant for gaining some useful insights.
1) Given two orthonormal pulses 1 and 2 , verify that the noise outputs of the filters matched to
1
Assignment 1 EE 3320/5320
Digital Communications
Submission on
12/08/13
Contact TAs Sree Charan Teja Reddy (M.Tech), Anugu Rathnakar (M.Tech) and Sachin Kumar (B.Tech
final year) for help with installation.
1) Install Ubuntu on your laptop (if you have
1
Assignment 9 EE 3320/5320
Digital Communications
Submission on
24/10/2013
1) Verify the results of Quiz 15 and 16 using SAGEMATH.
2) Implement any algorithm that you know for generating hamming codes of arbitrary size.
1
Assignment 6 EE 3320/5320
Digital Communications
Submission on
16/09/2013
1) Plot the modified Bessel function I0 (x) with respect to x using the builtin function in sagemath.
What do you observe?
2) Plot the simulation and analytical results for noncoh
ECEN 449: Microprocessor System Design
Department of Electrical and Computer Engineering
Texas A&M University
Prof. Sunil Khatri
TA: Monther Abusultan
(Lab exercise created by A Targhetta and P Gratz)
Laboratory Exercise #6
An Introduction to Linux Device
ECEN 449: Microprocessor System Design
Department of Electrical and Computer Engineering
Texas A&M University
Prof. Sunil Khatri
TA: Monther Abusultan
(Lab exercise created by A Targhetta and P Gratz)
Laboratory Exercise #7
IRRemote Peripheral for XUP Li
ECEN 449: Microprocessor System Design
Department of Electrical and Computer Engineering
Texas A&M University
Prof. Sunil Khatri
TA: Monther Abusultan
(Lab exercise created by A Targhetta and P Gratz)
Laboratory Exercise #3
Creating a Custom Hardware IP a
ECEN 449: Microprocessor System Design
Department of Electrical and Computer Engineering
Texas A&M University
Prof. Sunil Khatri
TA: Monther Abusultan
(Lab exercise created by A Targhetta and P Gratz)
Laboratory Exercise #5
Hello World! Kernel Module on X
ECEN 449: Microprocessor System Design
Department of Electrical and Computer Engineering
Texas A&M University
Prof. Sunil Khatri
TA: Monther Abusultan
(Lab exercise created by A Targhetta and P Gratz)
Laboratory Exercise #4
Linux bootup on XUP board via
ECEN 449: Microprocessor System Design
Department of Electrical and Computer Engineering
Texas A&M University
Prof. Sunil Khatri
TA: Monther Abusultan
(Lab exercise created by A Targhetta and P Gratz)
Laboratory Exercise #8
InterruptBased IRremote Devic
ECEN 449: Microprocessor System Design
Department of Electrical and Computer Engineering
Texas A&M University
Prof. Sunil Khatri
TA: Monther Abusultan
(Lab exercise created by A Targhetta and P Gratz)
Laboratory Exercise #9
AC 97 Codec Device Driver
Objec
SYLLABUS
Course title and number
Term
Lecture times and location
Lab times and location
ECEN 454/714 Digital Integrated Circuit Design
Fall 2015
MW 8:008:50AM, ETB 1003
Sections 454511, 714611, W 4:106:00PM, CVLB 324
Sections 454512, 714612, T 11:10