UCSD Spring 2022

MWF 33:50pm (RCLASS)

Introduction to Probability

Office hours (

*** Please email the instructor about confidential matters only. All other questions (about lectures, homework, etc) should be asked during office hours or posted on Piazza. Note that you get credit (5% overall) for your activity on Piazza. ***

- (Sec A0102)
*Felipe Campos*fcamposv@ucsd.edu

- Office hours: Fridays 13pm on Zoom (Meeting ID: 915 8635
2932, use course
password sent through Piazza)

- Office hours: Fridays 13pm on Zoom (Meeting ID: 915 8635
2932, use course
password sent through Piazza)
- (Sec A03 and A06)
*Yesheng Huang*yeh018@ucsd.edu

- Office hours: Mondays 4:306:30pm on Zoom (Meeting ID: 970
8420 1227, use course
password sent through Piazza)

- Office hours: Mondays 4:306:30pm on Zoom (Meeting ID: 970
8420 1227, use course
password sent through Piazza)
- (Sec A0405)
*Gaojin He*ghe@ucsd.edu

- Office hours: Mondays and Wednesdays 23pm in APM 2202

- Office hours: Mondays and Wednesdays 23pm in APM 2202

**Passwords**

The password for all Zoom meetings, class materials, etc. has been
sent to all students through Canvas and Piazza. *(If you cannot
find this message, then please email the instructor to obtain
the password.)*

**Description**

Math 180a is a 4 credit hour introduction to probability
theory, covering topics such as: probability spaces, random
variables, independence, conditional probability, distributions,
expectation, variance, joint distributions, and the central
limit theorem (one of the most important results in all of
science).

**Prerequisites **

Math 20c or Math 31bh, or consent of instructor. Prior or
concurrent enrollment in Math 109 is highly recommended.

**Remote Format**

Math 180a is a fully remote "RCLASS". Lectures will be
prerecorded. There will also be 7 quizzes (see schedule under
"Important Dates" below) held remotely during the scheduled
lecture time 33:50pm. The final exam will be held remotely on
Wed, Jun 8 during 36pm. ***** You**** **__MUST__**
be available at these times on all of these dates in order to
enroll in Math 180a.*** ****

**Textbooks**

The official course textbook (available for free at the link
below) is

*Introduction to Probability*, by C. M. Grinstead & J. L. Snell

We aim to cover §110 thoroughly, and some parts of §12, as time
allows.

There are

*A First Course in Probability,*by S. Ross*Lecture Notes for Introductory Probability,*by J. Gravner

*Introduction to Probability,*by J. K. Blitzstein & J. Hwang*Introduction to Probability Theory,*by D. F. Anderson, B. Valkσ & O. Seppδlδinen (this text has been used for Math 180a in the past)

by W. Feller (generally more advanced that Math 180a, but many parts would still be very useful)*An Introduction to Probability Theory and its Applications, Vols. 1 and 2,*

*Probability for Data Science**,*by A. Adhkikari & J. Pitman*Introduction to Probability for Data Science,*by S. H. Chan

- (Sec A01) Tuesdays 55:50pm on Zoom (Meeting ID: 987 1531 8167, use course password sent through Piazza)
- (Sec A02) Tuesdays 66:50pm on Zoom (Meeting ID: 987 1531 8167, use course password sent through Piazza)
- (Sec A03) Tuesdays 77:50pm on Zoom (Meeting ID: 921 5058 3427, use
course password sent through Piazza)

- (Sec A04) Tuesdays 66:50pm in SOLIS 109
- (Sec A05) Tuesdays 77:50pm in SOLIS 109
- (Sec A06) Tuesdays 88:50pm on Zoom (Meeting ID: 982 0676 8239, use course password sent through Piazza)

Gradescope

- 5% Participation on Piazza
- 20% Homework (7 assignments)

- 35% Quizzes (7 quizzes)

- 40% Final Exam

**Optional Assignments**

An "optional assignment" will appear on Gradescope for each
homework assignment and each quiz. If you upload detailed
corrections (explain all errors that you made, and present a new
correct solution to each part of each question that you did not
get 100% correct) for a homework assignment or quiz, then you will
receive a +1 bonus point on this assessment. *All optional
assignments are due by 11pm on Tues, Jun 7. *

**Homework and Quiz Drops**

If you complete the optional assignment for* **all*
homework assignments,* *then your lowest homework score will
be replaced by your final exam score (if this is higher than your
lowest homework score). Likewise, if you complete the optional
assignment for* **all* quizzes,* *then your
lowest quiz score will be replaced by your final exam score (if
this is higher than your lowest quiz score).

**Academic Integrity
**You may discuss homework with your fellow classmates, but you
must write up your own solution in your own words.

**Late/Waived Assessments**

Late work or missed work will not be excused, except for
legitimate reasons (such as serious illness, family emergency,
etc). Please email the instructor if any such circumstances arise.

**OSD Accommodations
**Students requesting accommodations for this course due to a
disability must provide a current Authorization for Accommodation
(AFA) letter (paper or electronic) issued by the Office for
Students with Disabilities. Please note that students are
required to discuss accommodation arrangements with the instructor
and OSD liaisons in the department in advance of any exams or
assignments.

**Additional Resources**

Discussion
section schedule

Academic
calendar

Enrollment
and registration calendar

Academic Integrity
Office

Office for
Students with Disabilities

*z*-score
calculator

*t*-score
calculator

**Important Dates**

Academic

- Mon, May 30: Memorial Day (no lecture)

- Fri, Apr 22: deadline to drop without "W" on transcript
- Fri, May 6: deadline to drop with "W" on transcript

(due by 11pm on Gradescope)Homework

- Mon, Apr 11 (§12) sol

- Wed, Apr 20 (§3) sol

- Fri, Apr 29 (§4) sol

- Fri, May 6 (§5) sol

- Mon, May 16 (§6) sol

- Wed, May 25 (§79) sol

- Wed, Jun 1 (§10,12) sol

(posted at 3pm, due by 4pm on Gradescope)Quizzes

- Wed, Apr 13 (§12) sol

- Mon, Apr 25 (§3) sol

- Mon, May 2 (§4) sol

- Mon, May 9 (§5) sol

- Wed, May 18 (§6) sol

- Fri, May 27 (§79) sol

- Fri, Jun 3 (§10,12) sol

(posted at 3pm, due by 6pm on Gradescope)Final Exam

- Wed, Jun 8 (cumulative: §110 and §12)

**Schedule ***
*A (tentative) schedule appears below, but is subject to change
slightly throughout the term.

- Mon, Mar 28 (
**Class Meeting, 33:50pm**)

- Wed, Mar 30: Lecture 1 (§1,
*Discrete Probability Distributions*)

- Fri, Apr 1: Lecture 2 (§1)
- Mon, Apr 4: Lecture 3 (§2,
*Continuous Probability Densities*) - Wed, Apr 6: Lecture 4 (§2)
- Fri, Apr 8: Lecture 5 (§3,
*Combinatorics*) - Mon, Apr 11: Lecture 6 (§3)
**+ Homework 1 (§12),****due 11pm** - Wed, Apr 13: Lecture 7 (§3)
**+ Quiz 1 (§12),****34pm** - Fri, Apr 15: Lecture 8 (§4,
*Conditional Probability*) - Mon, Apr 18: Lecture 9 (§4)
- Wed, Apr 20: Lecture 10 (§4)
**+ Homework 2 (§3),****due 11pm** - Fri, Apr 22: Lecture 11 (§5,
*Distributions and Densities*) - Mon, Apr 25: Lecture 12 (§5)
**+ Quiz 2****(§3)**,**34pm** - Wed, Apr 27: Lecture 13 (§5)
- Fri, Apr 29: Lecture 14 (§6,
*Expected Value and Variance*)**+ Homework 3 (§4),****due 11pm** - Mon, May 2: Lecture 15 (§6)
**+ Quiz 3****(§4)**,**34pm** - Wed, May 4: Lecture 16 (§6)
- Fri, May 6: Lecture 17 (§7,
*Sums of Random Variables*)**+ Homework 4 (§5),****due 11pm** - Mon, May 9: Lecture 18 (§7)
**+ Quiz 4****(§5)**,**34pm** - Wed, May 11: Lecture 19 (§8,
*Law of Large Numbers*) - Fri, May 13: Lecture 20 (§9,
*Central Limit Theorem*) - Mon, May 16: Lecture 21 (§9)
**+ Homework 5 (§6),****due 11pm** - Wed, May 18: Lecture 22 (§10,
*Generating Functions*)**+ Quiz 5****(§6)**,**34pm** - Fri, May 20: Lecture 23 (§10)
- Mon, May 23: Lecture 24 (§10)
- Wed, May 25: Lecture 25 (§12,
*Random Walks*)**+ Homework 6 (§79),****due 11pm** - Fri, May 27: Lecture 26 (§12)
**+ Quiz 6****(§79)**,**34pm** - Mon, May 30 Memorial Day (no lecture)
- Wed, Jun 1: Lecture 27 (TBA)
**+ Homework 7 (§10,12),****due 11pm** - Fri, Jun 3 Lecture 28 (TBA)
**+ Quiz 7****(§10,12)**,**34pm** - Wed, Jun 8 (
**Final Exam****,****§110 and §12, 36pm**)