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--- people:kargin:math471_spring2025 [2025/10/18 19:30]
kargin created
+++ people:kargin:math471_spring2025 [2026/01/19 13:48] (current)
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-Syllabus
+====== Math 571: Advanced Probability — Spring 2026 ======
+===== Binghamton University =====
-==== Math 471 Advanced Probability. Spring 2026.====
+**Instructor:** Vladislav Kargin \\
-Binghamton University
+**Office:** WH-136 \\
+**Meeting time and location:** TR 8:00–9:30 AM, WH 329 \\
+**Office hours:** TR 10:00–11:00 AM
-  * Instructor: Vladislav Kargin
+----
-  * Office: WH-136
-  * Meeting time and location: TR -- 8:00-9:30AM -- WH 329
-  * Office hours: Wednesday -- 12-1:30pm
-** This course is a 4-credit course, which means that in addition to the scheduled lectures/discussions,
+This course is a 4-credit course, which means that in addition to the scheduled lectures/discussions, students are expected to do at least 9.5 hours of course-related work each week during the semester. This includes things like: completing assigned readings, participating in lab sessions, studying for tests and examinations, preparing written assignments, and other tasks that must be completed to earn credit in the course.
-students are expected to do at least 9.5 hours of course-related work each week during the
-semester. This includes things like: completing assigned readings, participating in lab sessions,
-studying for tests and examinations, preparing written assignments, completing internship or
-clinical placement requirements, and other tasks that must be completed to earn credit in the
-course. **
-=== Prerequisite ===
+----
+===== Prerequisite =====
 Probability Theory (MATH 501)
-=== Description ===
+===== Description =====
+This course is an introduction to the advanced concepts of probability theory. It covers topics such as: Measure theory, Probability spaces, Random variables, Conditional Expectations, Stochastic processes, Martingales, Limit Theorems, Large deviations.
-This course is an introduction to the advanced concepts of probability theory. It covers topics such as: Measure theory, Probability spaces, Random variables, Conditional Expectations, Stochastic processes, Martingales, Limit Theorems, Large deviations
 The course is intended for students who have a strong foundation in probability theory.
+===== Recommended Text =====
+Durrett, //Probability: Theory and Examples//, 5th edition. PDF available at [[https://services.math.duke.edu/~rtd/PTE/PTE5_011119.pdf|PTE]]
+===== Lecture Notes =====
+Instructor's lecture notes will be provided and posted on Piazza.
+===== Communication =====
+We will use Piazza ([[http://piazza.com/|piazza.com]]) for communication. All announcements will be sent to the class using Piazza.
+----
-=== Recommended Texts ===
+===== Class Structure and Participation =====
+Each class session is divided into two parts:
-Durrett "Probability: Theory and Examples" 5th edition, pdf available at [[https://services.math.duke.edu/~rtd/PTE/PTE5_011119.pdf|PTE]].
+**Student-led segment (30–45 minutes):** Students take on rotating roles to present and critically examine the day's material.
+**Lecture segment (45–60 minutes):** Instructor extends the material, addresses misconceptions, and covers additional applications.
+==== Roles ====
+Each session involves:
-=== Piazza===
+  * **Presenters (2 students):** One states definitions, notation, and theorem statements; the other outlines the proof and provides an example.
+  * **Skeptics (2 students):** One checks correctness and catches errors; the other proposes counterexamples when assumptions are weakened.
+  * **Scribe (1 student):** Records theorem statements, key proof steps, questions raised, and instructor additions. Notes should NOT include names—they are learning material, not meeting minutes. Submit within 24–48 hours; instructor reviews and shares with everyone.
+  * **Observers (3 students):** Participate in discussion and ask questions; may be called on for examples or perspectives.
-We will use Piazza ("http://piazza.com/") for communication. All announcements will be sent to the class using Piazza.
+==== Role Assignments ====
+  * Sunday evening: Instructor announces which pairs are presenters and skeptics for Tuesday and Thursday, and which results will be covered.
+  * Within-pair role assignment: Students decide among themselves or flip a coin at the start of class.
-=== Homework Policies ===
+Students are expected to pre-read the assigned material before each class.
-The homework will not be graded with the exception of some marked problems.  The solution for these problems must be typed in LaTeX, typeset to pdf and submitted by the due date. The late or hand-written or non-LaTeX solutions will not be accepted. All homework problems can be on exams.
+----
-=== Exam ===
+===== Homework Policies =====
-There will be a in-class open book midterm and a final take-home exam with a brief meeting with instructor.   Final is cumulative.
+Weekly problem sets. I fully grade two or three problems (announced after submission); the others count for completion. Solutions must be concise (≤1 page per problem) and list the named results used (e.g., "DCT + UI").
+**Format:** Starting HW 3, solutions must be typeset in LaTeX and submitted as PDF. Non-LaTeX submissions will be returned without grading.
+**LaTeX resources:** Homework templates will be posted on Overleaf. Students should create a free account at [[https://www.overleaf.com/|Overleaf]].
-=== Grading ===
+**Submission:** Submit via Gradescope as PDF by the due date.
-  * Homework (25%)
-  * Midterm exam (25%)
-  * Project (25%)
-  * Final exam (25%)
+**Late policy:** 3 late-day tokens total for the term; beyond that, late work is not accepted.
+**Rubric:**
+  * 4 = correct & clear
+  * 3 = essentially correct (minor gap)
+  * 2 = right idea with major gap
+  * 1 = meaningful progress
+  * 0 = off-track
+  * +0.5 exposition bonus possible (capped at 4)
+I may invite you to brief board checks on your own solutions; these verify understanding and may adjust the HW score slightly.
-/*
+You may discuss ideas, but write your own solutions.
-=== Project ===
-You are supposed to prepare a project for this course and make a presentation on the project.
-The project should cover some topic in probability theory. You can choose your own topic. It might be a topic, which is not covered by the lecturer, or it might be a recent paper in a mathematical journal.
-You are supposed to give a 30-minute presentation on the topic, which should be a lecture to your fellow students. You may choose to do a blackboard lecture or a slide presentation, as you prefer.
-You presentation will be graded on the following criteria:
-    • Clarity: Your presentation should be clear and easy to understand.
+----
-    • Engagement: Your presentation should be engaging and interesting.
-    • Answering questions: You should be able to answer questions from the audience about your topic.
+===== Exams =====
+**Midterm:** One in-class exam (open-book, no internet). Thursday, March 5, 2026.
-<h2>Data Analysis Contest</h2>
+**Final:** Take-home exam with a brief (10–12 minutes) oral follow-up. I will choose one of your solutions and ask "why does this step hold?" / "where does the hypothesis matter?" questions. The final is cumulative.
-<p>Students will compete against each other in a Data Analysis Contest. The competition will begin on Tuesday, Feburary 20 and can be completed in teams of 2 &ndash; 4 members. Grades will be based upon a progress report and a final report (one per team) as well as the contest results. Further details about the contest along with specific grading criteria will be given in a separate document and discussed in class.</p>
-*/
+----
+===== Grading =====
+^ Component ^ Weight ^
+| Homework | 40% |
+| Participation (presenter/skeptic/scribe) | 10% |
+| Midterm exam | 15% |
+| Final write-up | 25% |
+| Final oral follow-up | 10% |
+----
-=== Tentative schedule ===
+===== Schedule =====
-| Midterm | TBA |
+^ Event ^ Date ^
-| Final Exam | TBA, as scheduled by the University|
+| Classes begin | Tuesday, January 20 |
+| Midterm | Thursday, March 5 |
+| Spring break | March 28 – April 6 |
+| Last day of classes | Wednesday, May 6 |
+| Final exam | As scheduled by the University |

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