Math 2b
 
Probability and Statistics
Winter 2009-10
 
MWF 10:00 AM // 22 Gates
Policies | Textbooks | Lecture Notes | Handouts | Homework | Sections

Instructor: Alexei Borodin, 262 Sloan, 626-395-4326, borodin@caltech.edu
Office Hours: TBA
Lead TA: Alden Walker, 156 Sloan, 626-395-6805, awalker@caltech.edu
Office Hours: TBA
Course Secretary: Kristy Aubry, 253 Sloan, 395-4087, kaubry@caltech.edu

 
  Feedback Form

Announcements
 





Course Description
  Top

Introduction to the fundamental ideas and techniques of probability theory and statistical inference.

Prerequisites: Ma 1abc.

Probability will be covered in the first half of the term (using Pitman) and statistics (using Rice) in the second half (see below for information regarding textbooks). Main topics covered are:

  • Properties of probability
  • Independence and conditional probability
  • Random variables, Distributions, and densities
  • Important Distributions
  • Normal and Poisson approximations
  • Estimation of unknown parameter values
  • Testing Statistical Hypotheses
  • Confidence Intervals
  • Regression Analysis

Sections
 Top

Section 1 - Vidya Venkateswaran
385 Sloan, 626.395.1732
Office Hours: Fridays, 12 pm - 1 pm

9:00 AM, Thurs
153 Sloan

Section 2 - Kevin Teh
156 Sloan, 626.395.6805
Office Hours: Sundays, 7 pm - 8 pm
9:00 AM, Thurs
159 Sloan

Section 3 - Dan Betea
382 Sloan, 626.395.4366
Office hours:
Sundays, 10 pm - 11 pm
10:00 AM, Thurs
159 Sloan

Section 4 - Alden Walker
156 Sloan, 626.395.6805
Office Hours: Mondays, 12 pm - 1 pm
10:00 AM, Thurs
101 Kerckhoff

 
Section 5 - Kevin Teh
156 Sloan, 626.395.6805
Office Hours:
Sundays, 7 pm - 8 pm
10:00 AM, Thurs
142 Keck
Section 7 - Laura Peskin
260 Sloan, 626.395.4340
Office Hours: Sundays, 6 pm - 7 pm
1:00 PM, Thurs
257 Sloan

Section 8 - Micel Van Garrel
356 Sloan, 626.3951732
Office Hours: Fridays, 4 pm - 5 pm
1:00 PM, Thurs
024 Kerckhoff

Section 9 Dan Betea
382 Sloan, 626.395.4366
Office hours: Sundays, 10 pm - 11 pm
2:00 PM, Thurs
257 Sloan

Section 10 - Alden Walker
156 Sloan, 626.395.6805
Office Hours:
Mondays, 12 pm - 1 pm
2:00 PM, Thurs
142 Keck
Section 11 - Micel Van Garrel
356 Sloan, 626.3951732
Office Hours: Fridays,
4 pm - 5 pm
2:00 PM, Thurs
024 Kerckhoff
 
Section 12 - Rostyslav Kozhan
158 Sloan, 626.395.4373
Office Hours: Sundays, 9 pm - 10 pm
1:00 PM, Thurs
11 Downs

 

Policies
  Top

Homework: Due in the boxes outside room 253 Sloan on Monday at 3:00 pm with a cover sheet.  Graded homework papers can be picked up from the TA during recitation on Thursday.  Otherwise your homework will be in envelopes in a box at the bottom of the shelves (below other Math 2b boxes).  At the discretion of the TA, if notified BEFORE the homework is due, late homework is accepted at most once during the term and extensions recommended by the Dean's Office or Health Center will also be considered.  Note that fatigue, forgetfulness, etc. are not generally grounds for accepting late homework. Late exams will not be accepted except under exceptional circumstances, such as prolonged illness and a note from a Dean.  Up to one week late, a reduction of 25% of the score will be recorded. After one week, ZERO credit. (Lowest score is dropped)

Homework will generally be posted on Mondays and due in section boxes the following Monday. There will be about 8 assignments, and your lowest score will be dropped in the final grade.

Grading: 4/9ths based on weekly problem sets, 2/9ths on midterm, 3/9ths on final exam.

Collaboration policy: "Live" collaboration is encouraged, but using another person's written solutions to see how to do a problem is not allowed. In any case you must write up your own solutions "in your own words".

Recitations: Go to the recitations! Each week, a portion of the recitation will be dedicated to introducing some computational (or even theoretical) aspect which the Instructor will not have time to present in class. In general, get to know your TA and bug him/her to death (figuratively speaking) with your questions, and try to fill in all the holes in your understanding of the subject.


Textbooks
  T
  • Probability, Jim Pitman, ISBN: 0387979743
  • Mathematical Statistics and Data Analysis, John A. Rice, ISBN: 0534399428 

Lecture Notes
  Top

Date Description



















Handouts
  Top

Date Description
Feb 5, 2010
Notes on Estimation
Feb 16, 2010
Hypothesis Testing
Feb 22, 2010
Notes on Confidence Intervals
Feb 22, 2010
Confidence Intervals
Mar 1, 2010
Notes on Regression
Mar 1, 2010
Notes on simple linear regression
   
   

Homework
  Top

Due Date Homework  Solutions
Jan 11 @ 3 PM
Homework 1
Homework 1
Jan 19 @ 3 PM
Homework 2
Homework 2
Jan 25 @ 3 PM
Homework 3
Homework 3
Feb 1 @ 3 PM
Homework 4
Homework 4
Feb 16 @ 3 PM
Homework 5
Homework 5
Feb 22 @ 3 PM
Homework 6
Homework 6


Midterm
Mar 1 @ 3PM
Homework 7
Homework 7
Mar 8 @ 3 PM
Homework 8
Homework 8


Final
     


 Last update: | © California Institute of Technology | Questions?  kaubry @ caltech.edu