**Instructor:** Antar Bandyopadhyay
(**Email:** antar (at) isid (dot) ac (dot) in
**Office:** Room # 387 Evans Hall).

**Class Time:**
Tuesday and Thursday 2:00 PM - 3:30 PM at 105 Stanley Hall.

**Instructor's Office Hours: Wednesday 01:00 PM - 03:00 PM** at the *Student Learning Center*.

**Section Times and GSIs: Note: Sections starts from January 30, 2014**

- Section 101: Thursday 04:00 PM - 05:00 PM at 330 Evans Hall
by Thomas Amon McCann

(**E-Mail:**tomdawg86 (at) berkeley (dot) edu). - Section 102: Thursday 05:00 PM - 06:00 PM at 330 Evans Hall
by Lisha Li

(**E-Mail:**janet.li.xiang (at) berkeley (dot) edu). - Section 103: Friday 09:00 AM - 10:00 AM at 330 Evans Hall
by Yannik F. Pitcan

(**E-Mail:**pitcany (at) berkeley (dot) edu). - Section 104: Friday 10:00 AM - 11:00 AM at 330 Evans Hall
by Yannik F. Pitcan

(**E-Mail:**pitcany (at) berkeley (dot) edu). - Section 105: Friday 11:00 AM - 12:00 PM at 330 Evans Hall
by James Bladen

(**E-Mail:**bladenjames (at) berkeley (dot) edu). - Section 106: Friday 12:00 PM - 01:00 PM at 330 Evans Hall
by Yumeng Zhang

(**E-Mail:**zym3008 (at) gmail (dot) com) - Section 107: Friday 01:00 AM - 02:00 PM at 330 Evans Hall
by Cindy Cai

(**E-mail:**cindycai (at) berkeley (dot) edu). - Section 108: Friday 02:00 PM - 03:00 PM at 330 Evans Hall
by Lisha Li

(**E-Mail:**janet.li.xiang (at) berkeley (dot) edu). - Section 109: Friday 03:00 AM - 04:00 PM at 330 Evans Hall
by Ying Chao Shi

(**E-Mail:**ycshi (at) berkeley (dot) edu). - Section 110: Friday 04:00 AM - 05:00 PM at 330 Evans Hall
by Jinze Gu

(**E-Mail:**guxxx220 (at) berkeley (dot) edu)

**GSI Office Hours:** All GSI office hours will be held in **Room # 444 or 446 of Evans Hall**.

- James Bladen:
**Thursday 12:00 PM - 02:00 PM**. - Cindy Cai:
**Monday 04:00 PM - 05:00 PM and Friday 10:00 AM - 11:00 AM**. - Jinze Gu:
**Thursday 09:00 AM - 11:00 AM**. - Lisha Li:
**Wednesday 10:00 AM - 12:00 PM and Friday 03:00 PM - 04:00 PM**. - Thomas Amon McCann:
**Monday 01:00 PM - 03:00 PM**. - Yannik F. Pitcan:
**Monday 04:00 PM - 06:00 PM and Wednesday 05:00 PM - 07:00 PM**. - Ying Chao Shi:
**Tuesday 11:00 AM - 01:00 PM**. - Yumeng Zhang:
**Thursday 03:30 PM - 05:30 PM**.

**Course Duration:** January 21 - May 01, 2014 (15 Weeks inludincg Spring Break).

**Note:** *Academic Holidays: Spring Break, March 24 -28, 2014 (Monday-Friday)*.

**Midterm Examination: March 13, 2014 (Thursday) Time: 2:00 PM - 3:30 PM in class**.

**Final Examination:
May 12, 2014 (Monday) 11:30 AM - 2:30 PM (Examination Group 2) at 1 PIMENTEL**.

**Review before final: May 09, 2014 (Friday) Time: 10:00 AM - 06:00 PM in 330 Eavns Hall.**
Review will be done by the GSIs in three slots
(10:00 AM - 12:00 Noon, 12:00 Noon - 03:00 PM and 03:00 PM - 06:00 PM).

**Course Outline:**

- Mathematical set-up for probability, equally likely outcomes, basic counting arguments.
- Conditional probability, Bayes' rule, independent events.
- Sampling with and without replacement, Binomial distribution, Normal and Poisson approximations.
- Discrete random variables: Discrete Uniform, Bernoulli, Binomial, Poisson, Hypergeometric, Geometric distributions.
- Expectation of a random variable. Variance, standard error, higher moments and generating functions.
- Discrete joint distributions, independent random variables, repeated trials.
- Continuous random variables, density, cumulative distribution function, change of variable.
- Expectation, variance and higher moments for continuous random variables.
- Uniform, Exponential, Gamma, Beta and Normal distribution.
- Poisson arrival process.
- Continuous joint distributions, independence.
- Discrete and continuous conditional distributions and conditional expectations.
- Covariance and correlation of two random variables. Correlation and independence.
- Bivariate Normal distribution and basic properties.

**Lecture Schedule:**
*Note that this schedule may change as the semester progress.*.

**Prerequisite :** Calculus is a very serious prerequisite. A
Calculus course equivalent of MATH 53 will be required. We will need
various summations formulae, inequalities, summation of infinite
series, limits, differentiation, integration, integration of function
of two variables.

**Text :** *Probability* by Jim Pitman.

**Other References :** Here are two more books which are good to
look at for reading and problem solving. You may not want to buy them,
best would be to borrow these from the library.

- R. G. Hoel, S. C. Port and C. J. Stone -
*Introduction to Probability Theory*. - Sheldon M. Ross -
*A First Course in Probability*, 6th Edition.

**Grading Policy:**

** 20% Assignments + Maximum{(30% Midterm + 50% Final), (80% Final)}**

**Note:** No letter grades will be given for the homeworks, midterm, or
final examinations. Your letter grade for the course will be based on your overall
score, computed according to the above scheme.
Final letter grades will be assigned relative to the class computed based on a curve.

**Homework Policies:**

- There will be a total of
**12**sets of weekly homework assignments. Each carrying a total of*20 points*.**10**best assignment scores will be taken for the final grading. - The assignments will be uploaded on the course webpage and bspace on every Tuesday starting from January 28, 2014, and it will be due in the Sections in the following week. Each assignment set will be based on course materials covered in the previous week.
- Please submit your assignment to the GSI in your Section.
- Late submission of an assignment will
**NOT**be accepted. If you can not submit an assignment on time, don't worry about it, and try to do well in the others. It will not count in your final grade since you have few extra assignments anyway. - Graded assignments will be returned by the GSIs in the Sections.
- Click here for downloading the assignments.
- Click here for downloading the solutions of the assignments.

**Midterm and Final Exam Policies:**

- For the Midterm and Final Examinations you may bring a your own hand written list of formulas, theorems with you. It may not be more than two double sided A4 size pages.
- You may also bring a calculator with you but other electronic equipments including cell phones will not be allowed.
- If necessary Normal distribution table will be provided.
- No books, printed or photo copied materials and/or hand-written, typed or photo copied class notes will be allowed.
- No make up Final or Midterm will be given and no student may take the Midterm or Final earlier than scheduled.
- Here is the syllabus for the midterm examination.
- Here is a practice midterm.
- Here is a solution to the Midterm.
- Here is the syllabus for the final examination.
- Here are two practice finals: Practice Final (I) and Practice Final (II).

**Regrading Policy:**

- Regrading of homeworks or exams will only be undertaken in cases where you believe there has been a genuine error or misunderstanding. Please note that our primary aim in grading is consistency, so that all students are treated the same; for this reason, we will not adjust the score of one student on an issue of partial credit unless the score allocated clearly deviates from the grading policy we adopted for that problem.
- If you wish to request a regrading of a homework or exam, you must return it to the instructor or the GSI with a written note on a separate piece of paper explaining the problem.
- The entire assignment or the exam may be regraded, so be sure to check the solutions to confirm that your overall score will go up after regrading.
- All such requests must be received within one week from the date on which the homework or exam was made available for return.

Last modified May 01, 2014.