(82 intermediate revisions by 9 users not shown)
Line 2: Line 2:
 
[[Category:ECE302]]
 
[[Category:ECE302]]
 
[[Category:ECE302Spring2013Boutin]]
 
[[Category:ECE302Spring2013Boutin]]
 +
[[Category:probability]]
 +
  
 
=Rhea Section for [[ECE302]], Professor [[user:mboutin|Boutin]], Spring 2013=
 
=Rhea Section for [[ECE302]], Professor [[user:mboutin|Boutin]], Spring 2013=
Line 8: Line 10:
 
<div style="border-bottom: rgb(68,68,136) 1px solid; text-align: center; border-left: rgb(51,51,136) 4px solid; padding-bottom: 2em; margin: auto; padding-left: 2em; width: 30em; padding-right: 2em; background: rgb(238,238,255); border-top: rgb(68,68,136) 1px solid; border-right: rgb(68,68,136) 1px solid; padding-top: 2em">
 
<div style="border-bottom: rgb(68,68,136) 1px solid; text-align: center; border-left: rgb(51,51,136) 4px solid; padding-bottom: 2em; margin: auto; padding-left: 2em; width: 30em; padding-right: 2em; background: rgb(238,238,255); border-top: rgb(68,68,136) 1px solid; border-right: rgb(68,68,136) 1px solid; padding-top: 2em">
 
Message Area:  
 
Message Area:  
 
+
*Sample quizzes has been uploaded to help you to review the final exam!
Welcome to the ECE302. This should be a fun semester!  
+
*Homework 7 solution has been posted.
 
+
</div>  
 
+
Please take a look a the course blog below for important action items, including reading and a practice problem. </div>  
+
 
== Course Information  ==
 
== Course Information  ==
  
Line 26: Line 26:
 
**Test 1: Friday February 8, 2013.
 
**Test 1: Friday February 8, 2013.
 
**Test 2: Wednesday April 3, 2013.
 
**Test 2: Wednesday April 3, 2013.
**Final: TBD
+
**Final: Wednesday May 1, 2013
  
 
----
 
----
Line 34: Line 34:
 
----
 
----
 
== Lecture Blog  ==
 
== Lecture Blog  ==
[[Lecture1_blog_ECE302S13_Boutin|Lecture 1]], [[Lecture2_blog_ECE302S13_Boutin|2]], [[Lecture3_blog_ECE302S13_Boutin|3]],[[Lecture4_blog_ECE302S13_Boutin|4]],[[Lecture5_blog_ECE302S13_Boutin|5]], [[Lecture6_blog_ECE302S13_Boutin|6]], [[Lecture7_blog_ECE302S13_Boutin|7]]
+
*Week(1-4):
 +
:[[Lecture1_blog_ECE302S13_Boutin|1]], [[Lecture2_blog_ECE302S13_Boutin|2]], [[Lecture3_blog_ECE302S13_Boutin|3]], [[Lecture4_blog_ECE302S13_Boutin|4]],[[Lecture5_blog_ECE302S13_Boutin|5]], [[Lecture6_blog_ECE302S13_Boutin|6]], [[Lecture7_blog_ECE302S13_Boutin|7]],[[Lecture8_blog_ECE302S13_Boutin|8]],[[Lecture9_blog_ECE302S13_Boutin|9]],[[Lecture10_blog_ECE302S13_Boutin|10]],[[Lecture11_blog_ECE302S13_Boutin|11]]
 +
*Week(5-8)
 +
:[[Lecture12_blog_ECE302S13_Boutin|12]],[[Lecture13_blog_ECE302S13_Boutin|13]],[[Lecture14_blog_ECE302S13_Boutin|14]],[[Lecture15_blog_ECE302S13_Boutin|15]],[[Lecture16_blog_ECE302S13_Boutin|16]],[[Lecture17_blog_ECE302S13_Boutin|17]],[[Lecture18_blog_ECE302S13_Boutin|18]],[[Lecture19_blog_ECE302S13_Boutin|19]],[[Lecture20_blog_ECE302S13_Boutin|20]],[[Lecture21_blog_ECE302S13_Boutin|21]],[[Lecture22_blog_ECE302S13_Boutin|22]],[[Lecture23_blog_ECE302S13_Boutin|23]]
 +
*Week(9-12) <Week 10- Spring Break!>
 +
:[[Lecture24_blog_ECE302S13_Boutin|24]],[[Lecture25_blog_ECE302S13_Boutin|25]],[[Lecture26_blog_ECE302S13_Boutin|26]],[[Lecture27_blog_ECE302S13_Boutin|27]],[[Lecture28_blog_ECE302S13_Boutin|28]],[[Lecture29_blog_ECE302S13_Boutin|29]],[[Lecture30_blog_ECE302S13_Boutin|30]],[[Lecture31_blog_ECE302S13_Boutin|31]],[[Lecture32_blog_ECE302S13_Boutin|32]]
 +
*Week(13-16)
 +
:[[Lecture33_blog_ECE302S13_Boutin|33]],[[Lecture34_blog_ECE302S13_Boutin|34]],[[Lecture35_blog_ECE302S13_Boutin|35]],[[Lecture36_blog_ECE302S13_Boutin|36]],[[Lecture37_blog_ECE302S13_Boutin|37]],[[Lecture38_blog_ECE302S13_Boutin|38]],[[Lecture39_blog_ECE302S13_Boutin|39]],[[Lecture40_blog_ECE302S13_Boutin|40]],[[Lecture41_blog_ECE302S13_Boutin|41]],[[Lecture42_blog_ECE302S13_Boutin|42]],[[Lecture43_blog_ECE302S13_Boutin|43]],[[Lecture44_blog_ECE302S13_Boutin|44]]
 +
*Week(17) Final Exam Week
 +
:Final exam is on Wednesday May 1, 1:00p - 3:00p STEW 130
 +
 
 
----
 
----
 
== Collectively Solved [[:Category:Problem_solving|Practice Problems]]  ==
 
== Collectively Solved [[:Category:Problem_solving|Practice Problems]]  ==
Line 42: Line 52:
 
**[[Practice_Question_definition_set_union_ECE302S13Boutin|Union of two sets]]
 
**[[Practice_Question_definition_set_union_ECE302S13Boutin|Union of two sets]]
 
**[[Practice_Question_definition_set_union_2_ECE302S13Boutin|Union of two sets (again)]]
 
**[[Practice_Question_definition_set_union_2_ECE302S13Boutin|Union of two sets (again)]]
 +
*Conditional Probability
 +
**[[Practice_Question_Monty_Hall_ECE302S13Boutin|Explain the Monty Hall problem using conditional probability]]
 +
*Discrete Random Variables
 +
**[[Practice_Question_probability_normalization_ECE302S13Boutin|Normalizing the probability mass function of a discrete random variable]]
 +
*Continuous random variables
 +
**[[Practice_Question_gaussian_normalization_ECE302S13Boutin|Normalizing the probability mass function of a Gaussian random variable]]
 +
**[[Practice_Question_joint_from_marginals_independent_variables_ECE302S13Boutin|Obtaining the joint pdf from the marginal pdfs of two independent variables]]
 +
**[[Practice_Question_linear_random_variable_probability_ECE302S13Boutin|Compute a probability]]
 +
**[[Practice_Question_uniform_random_variable_CDF_ECE302S13Boutin|Find the CDF]]
 +
**[[Practice_Question_uniform_random_variable_mean_ECE302S13Boutin|Compute the mean]]
 +
**[[Practice_Question_moment_order_zero_Gaussian_ECE302S13Boutin|Compute the zero-th order moment of a Gaussian]]
 +
**[[Practice_Question_moment_order_one_Gaussian_ECE302S13Boutin|Compute the first order moment of a Gaussian]]
 +
**[[Practice_Question_moment_order_two_Gaussian_ECE302S13Boutin|Compute the second order moment of a Gaussian]]
 +
**[[Practice_Question_comparing_probabilities_Gaussians_ECE302S13Boutin|Comparing probabilities for different Gaussians]]
 +
**[[Practice_Question_probability_meeting_occurs_ECE302S13Boutin|Compute the probability that a meeting will occur]]
 +
**[[Practice_Question_find_conditional_pdf_ECE302S13Boutin|Find the conditional probability density function]]
 +
**[[Practice_Question_find_conditional_ellipse_ECE302S13Boutin|Find the conditional probability density function (again)]]
 +
**[[Practice_Question_find_conditional_event_ECE302S13Boutin|Find the conditional probability density function (conditioned on an event this time)]]
 +
**[[Practice_Question_independence_ECE302S13Boutin|Determine if X and Y independent from their joint density]]
 +
**[[Practice_Question_characteristic_function_ECE302S13Boutin|Recover the pmf corresponding to this characteristic function]]
 +
**[[Practice_Question_characteristic_function_exponential_random_variable_ECE302S13Boutin|Obtain the characteristic function of an exponential random variable]]
 +
**[[Practice_Question_characteristic_linear_function_random_variable_ECE302S13Boutin|pdf of Y=aX+b ]]
 +
**[[Practice_Question_2D_Gaussian_ECE302S13Boutin|Various Questions about a 2D Gaussian]]
 +
*Random Processes
 +
**[[Practice_Question_what_is_stationary_increment_property_sum_process_ECE302S13|the stationary increment property of a sum process]]
 +
----
 +
==Quizzes==
 +
*[[quiz1_set_definition_ECE302_S13_Boutin|Quiz 1 on the definition of a set]]
 +
*[[quiz2_set_operation_prove_De_Morgan_Law_ECE302_S13_Boutin|Quiz 2 on proving De Morgan's law]]
 +
*[[quiz3_set_theory_probability_S13_Boutin|Quiz 3 set theoretic probability]]
 +
*[[quiz4_expectation_discrete_RV_ECE302_S13_Boutin|Quiz 4 Expectation of discrete random variable]]
 +
*[[quiz5_cdf_GaussianRV_ECE302_S13_Boutin|Quiz 5 cdf of Normal random variable (part1)]]
 +
*[[quiz6_cdf_GaussianRV2_ECE302_S13_Boutin|Quiz 6 cdf of Normal random variable (part2)]]
 +
*[[quiz7_expectation_continuousRV_ECE302_S13_Boutin|Quiz 7 Expectation of continuous random variable]]
 +
*[[quiz8_Poisson_process_ECE302_S13_Boutin|Quiz 8 Poisson Process]]
 
----
 
----
 
==Homework==
 
==Homework==
 
*[[HW1_ECE302_S13_Boutin|HW1]]
 
*[[HW1_ECE302_S13_Boutin|HW1]]
*Hw2
+
*[[HW2_ECE302_S13_Boutin|HW2]]
*Hw3
+
*[[HW3_ECE302_S13_Boutin|HW3]]
 
+
*[[HW4_ECE302_S13_Boutin|HW4]]
 +
*[[HW5_ECE302_S13_Boutin|HW5]]
 +
*[[HW6_ECE302_S13_Boutin|HW6]]
 +
*[[HW7_ECE302_S13_Boutin|HW7]] (Includes all practice problems assigned after the lecture-- see lecture blogs )
  
----
+
==Homework Discussion and Solutions==
==Materials Covered==
+
*[[hw1_discussion_sln_ECE302_S13_Boutin|HW1_solution]]
* Probability Models (Ch.1)
+
*[[hw2_discussion_sln_ECE302_S13_Boutin|HW2_solution]]
* Axioms of Probability, counting, conditional probability, independence(Ch.2)
+
*[[hw3_discussion_sln_ECE302_S13_Boutin|HW3_solution]]
* Random variables, Expected value and moments, probability mass function (Ch.3)
+
*[[hw4_discussion_sln_ECE302_S13_Boutin|HW4_solution]]
* Cumulative distribution function, functions of a random variable (Ch.4)
+
*[[hw6_discussion_sln_ECE302_S13_Boutin|HW6_solution]]
* Two random variables(r.v.), joint cdf of 2 r.v., independence of 2 r.v., conditional expectation (Ch.5)
+
*[[hw7_discussion_sln_ECE302_S13_Boutin|HW7_solution]]
* Vector r.v., jointly Gaussian r.v, estimation of r.v. (Ch.6)
+
* Definition of Random Processes(r.p.), Poison r.p., Random Walk (Ch.9)
+
* Power spectral density, response of linear systems to random signals (Ch.10)
+
 
----
 
----
 
== Relevant Resources  ==
 
== Relevant Resources  ==
*[[Probability_practice_problems_list|Practice Problems]]
+
*[[Probability_practice_problems_list|Practice Problems on Probability]]
*[[Collective Table of Formulas|Rhea's Collective Table of Formulas]].  
+
*Rhea's [[Collective Table of Formulas| Collective Table of Formulas]].  
 +
**[[Probability_Formulas|Probability Formulas]]
 +
**[[Probability_Distribution|Probability Distributions]]
 +
*A tutorial on [[counting_subsets_of_sets|Counting Partitions or Subsets]], by [[Math_squad|Math Squad]] member [[user:somussma|Steve Mussmann]]
 +
**[[Counting_subsets_of_sets_examples|examples of counting problems]]
 +
**[[Counting_subsets_of_sets_problems|practice problems]]
 +
*A tutorial about [[bayes_theorem_S13|Bayes' Theorem]], by [[Math_squad|Math Squad]] member [[user:Mhossain|Maliha Hossain]]
 +
**[[bayes_theorem_eg1_S13|Example 1: Quality Control]]
 +
**[[bayes_theorem_eg2_S13|Example 2: False Positive Paradox]]
 +
**[[bayes_theorem_eg3_S13|Example 3: Monty Hall Problem]]
 
----
 
----
== Your turn! A bonus point opportunity  ==
+
== Honors Projects ==
 +
*[[Honors_project_1_ECE302S12|Oluwatosin Adeosun]]
 +
 
 +
----
 +
==Your turn! Bonus Point opportunities==
 +
 
 +
==Exercises==
 +
#[[Bonus_point_1_ECE302_Spring2012_Boutin| Invent a problem on conditional probability or independence and share it with your classmates]] (0.5% course grade bonus)
 +
#[[Bonus_point_2_ECE302_Spring2012_Boutin| Find a mistake in your classmates' solutions]] (0.5% course grade bonus)
 +
#[[Bonus_point_3_ECE302_Spring2012_Boutin| Invent a problem on expectation and/or variance of a discrete random variable]] (0.5% course grade bonus)
 +
#[[Bonus_point_4_ECE302_Spring2012_Boutin| Share your solution of hw 5]] (0.5% course grade bonus)
 +
#[[Bonus_point_5_ECE302_Spring2012_Boutin| Explain the stationary increment property of sum processes]] (0.5% course grade bonus)
 +
==Class Project==
  
 
Students in ECE302 Spring 2013 have the opportunity to earn up to a 3% bonus by contributing a Rhea page on a subject related to probability.  
 
Students in ECE302 Spring 2013 have the opportunity to earn up to a 3% bonus by contributing a Rhea page on a subject related to probability.  
Line 75: Line 141:
 
! Topic Description  
 
! Topic Description  
 
! Student Name/nickname
 
! Student Name/nickname
 +
|-
 +
| 0
 +
| [[template_bonus_point_project_page_ECE301S12|Project Template]]
 +
|
 
|-
 
|-
 
| 1  
 
| 1  
| Something related to generating random variables
+
| [[Methods of generating random variables|Methods of generating random variables]]
| Name
+
| Zhenming Zhang
 
|-
 
|-
 
| 2  
 
| 2  
| Something related to Poisson random variables
+
| [[Applications of Poisson Random Variables|Applications of Poisson Random Variables]]
| Name
+
| Trevor Holloway
 
|-
 
|-
 
| 3  
 
| 3  
Line 100: Line 170:
 
| Name
 
| Name
 
|-
 
|-
 +
| 7
 +
| [[ECE302S13Notes|TF101 Slectures]]
 +
| Bob Wayner
 +
|-
 +
| 8
 +
| [[CorrelationvsCovariance|Correlation vs. Covariance]]
 +
| Blue
 
|}
 
|}
 
----
 
----
 
[[List_of_Course_Wikis|Back to List of Course Wikis]]
 
[[List_of_Course_Wikis|Back to List of Course Wikis]]

Latest revision as of 19:14, 30 April 2013


Rhea Section for ECE302, Professor Boutin, Spring 2013

MWF 12:30- 1:20pm in MSEE B012

Message Area:

  • Sample quizzes has been uploaded to help you to review the final exam!
  • Homework 7 solution has been posted.

Course Information

  • Instructor: Prof. Mimi
  • Teaching Assistant: Wei-Kang Hsu
    • Email: hsu59 at purdue dot you know what
    • Office hours: TF 2:00-4:00 pm EE209
  • Schedule
  • Course Syllabus
  • Important Dates:
    • Test 1: Friday February 8, 2013.
    • Test 2: Wednesday April 3, 2013.
    • Final: Wednesday May 1, 2013

Textbook

Probability, Statistics, and Random Processes for Electrical Engineering, 3rd Edition, by Alberto Leon-Garcia, Pearson Education, Inc., 2008, ISBN 0-13-601641-3


Lecture Blog

  • Week(1-4):
1, 2, 3, 4,5, 6, 7,8,9,10,11
  • Week(5-8)
12,13,14,15,16,17,18,19,20,21,22,23
  • Week(9-12) <Week 10- Spring Break!>
24,25,26,27,28,29,30,31,32
  • Week(13-16)
33,34,35,36,37,38,39,40,41,42,43,44
  • Week(17) Final Exam Week
Final exam is on Wednesday May 1, 1:00p - 3:00p STEW 130

Collectively Solved Practice Problems


Quizzes


Homework

  • HW1
  • HW2
  • HW3
  • HW4
  • HW5
  • HW6
  • HW7 (Includes all practice problems assigned after the lecture-- see lecture blogs )

Homework Discussion and Solutions


Relevant Resources


Honors Projects


Your turn! Bonus Point opportunities

Exercises

  1. Invent a problem on conditional probability or independence and share it with your classmates (0.5% course grade bonus)
  2. Find a mistake in your classmates' solutions (0.5% course grade bonus)
  3. Invent a problem on expectation and/or variance of a discrete random variable (0.5% course grade bonus)
  4. Share your solution of hw 5 (0.5% course grade bonus)
  5. Explain the stationary increment property of sum processes (0.5% course grade bonus)

Class Project

Students in ECE302 Spring 2013 have the opportunity to earn up to a 3% bonus by contributing a Rhea page on a subject related to probability. To pick a subject, simply write your name next to it. Your page will be graded based on content as well as interactions with other people (page views, comments/questions on the page, etc.). The number of links to other courses and subjects will also be taken into account: the more the merrier! Please do not simply copy the lecture notes and do not plagiarize. Read Rhea's copyright policy before proceeding.

Topic Number Topic Description Student Name/nickname
0 Project Template
1 Methods of generating random variables Zhenming Zhang
2 Applications of Poisson Random Variables Trevor Holloway
3 Something related to Exponential random variables Name
4 Something related to Gaussian random variables Name
5 Something related to the Estimation of random variables Name
6 Automatic music composition project Name
7 TF101 Slectures Bob Wayner
8 Correlation vs. Covariance Blue

Back to List of Course Wikis

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang