PH465 - Statistical Mechanics & Thermodynamics - Fall 2021 - 3 credits
- Instructor: Prof. Evan Tilton (he/him/his)
- Call me anything you want; I’m not picky. Call me Evan, Prof. Tilton, Dr. Evan, Hey-You…literally whatever you are comfortable with.
- Please let us know how you would prefer to be addressed and what pronouns you use.
- Contact: firstname.lastname@example.org; office: Carroll 108C (inside the Math & Physics suite); office phone: 3034584166 (unreliable)
- Course web pages:
- Class Meetings: MWF 2:00PM - 2:50 AM (Clarke Hall, 306)
- Office hours: Monday: 9am-10am and 3pm-4pm; Wednesday: 9am-10am; Thursday: 2:30pm-3:30pm. But I have an open door policy, and am in my office more often than just these times. You’re welcome to talk to me any time I’m here. Outside of scheduled office hours, I might be busy, but I’ll chat with you if at all possible. If you want to be sure that I have time to talk, please email me in advance to make sure I’m available.
This upper-division course will cover statistical mechanics and thermodynamics, which together comprise the broader category of thermal physics. We will discover that much of this field boils down to understanding two concepts in detail: entropy and free energy. We will have three meetings per week and weekly homework.
Thermal physics is one of the most general and reliable realms of knowledge in the physical sciences. We will discover that a handful of relatively simple laws and concepts apply equally well to exotic phenomena such as black holes and Bose-Einstein condensates, to every-day practical applications such as cooking or refrigeration, or to chemical reactions and biological processes. Along the way, we will encounter computational tools common to the physical and mathematical sciences, most notably Python. As Goldstein & Goldstein put it in their book The Refrigerator and the Universe, “Thermodynamics has something to say about almost everything but does not tell us everything about anything.”
Students in PH465 should already have taken the PH304 sequence (introductory physics with calculus). Proficiency in single-variable calculus is assumed. Calculus will be used liberally in all aspects of the course, and it will not be significantly reviewed or re-taught. You should be comfortable using and interpreting derivatives and integrals before starting any upper division physics courses. We will also encounter series and multivariate calculus, though extreme proficiency in these topics will not be assumed. However, exposure to the topics of Calculus III, either in the past or concurrently with this course, will be an advantage.
We will occasionally use computational tools to assist us. Students should be comfortable using at least one of the major operating systems (Windows, Mac OS, or Linux). Past exposure to a programming language (e.g., Python, etc) will be helpful but is not required.
All upper division physics courses are interrelated, so we will occasionally discuss topics related to quantum mechanics and electromagnetism, but upper division courses on these topics are not required to take this course. All necessary information on these topics is provided in our textbook or in your introductory textbooks.
The format of this course will be set entirely at my discretion using the guidance from the University administration, according to the best current scientific understanding of the pandemic. The format may change as the pandemic evolves, and the safety precautions we observe when meeting may change as well. You are required to follow all safety policies set by me and/or the university at all times. There will be no tolerance for recklessness, and repeated violations will result in failure and removal from the course.
As of the beginning of the semester, properly fitting masks are required of everyone in the class at all times without exception. Vaccines are required of all students who have not received an exemption from the university.
My Classroom Rules – A Commitment to an Inclusive Classroom
More than anything else, this class is a community that values the diversity of experience that each of us brings to our shared journey in physics. My first priority is the creation of an inclusive classroom - one where everyone feels comfortable, intellectually challenged, and able to speak up about your ideas, struggles, and experiences. Our classroom, as well as its virtual extensions, must foster respect, civility, and an ability to listen. I’ll do my best to reach these goals myself, but I’ll liekly err at times. Please let me know if there is anything I can do to make our classroom a more inclusive and productive learning environment. If anyone in our community is violating our commitment to inclusivity, please let me know. If I am violating this commitment, I welcome criticism so that I may learn to do better, and I encourage you to let me know. If you don’t feel comfortable talking to me directly about it, you are also welcome to raise the issue with our department chair, Prof. Stacy Chamberlin (email@example.com).
You should expect respect from me and your classmates, and you should also endeavor to be kind and respectful to everyone else. That means a lot of things, including:
- Try not to unnecessarily text, browse the web, or otherwise fiddle with electronic devices during class. It can be rude and distracts everyone, and I may ask you to leave if it is disruptive.
- Listen to your peers, and learn from them. Instead of trying to sound smart, try to raise all voices: pay attention to who is contributing, invite contributions from quieter members of the class, and be conscientious of not dominating the conversation.
- Don’t feign surprise. In a learning environment, it’s important that people feel comfortable saying “I don’t know,” so please don’t act surprised when someone says they don’t know something (e.g., don’t say, “What?! I can’t believe you don’t know what X is!”). Feigning surprise has no benefit; it only makes others feel worse.
- Similarly, don’t pull a well-actually.” A “well-actually” happens when someone says something that’s almost (but not entirely) correct, and you say something like, “well, actually…” and give a minor correction that serves mainly to make the person delivering the well-actually feel more important. If you feel the need to correct someone, take a moment to consider whether your correction is in the spirit of truth-seeking, and whether it will provide a positive contribution to the discussion.
- Lastly, I have little patience for racism, sexism, homophobia, transphobia, ableism, ageism, and other kinds of bias. Subtle -isms of this sort can be particularly tricky, as they are often unconscious behaviors we engage in by mistake, and are sometimes caused by conflicting norms between cultures. For example, saying “It’s so easy my grandmother could do it” is subtle ageism. If you experience these behaviors during the course, you should feel free to bring it up directly with the person in the moment, or if it’s more comfortable, point out the behavior to me, another faculty member, or the Office of Counseling and Personal Development. If someone points out that you have engaged in this behavior, it can be tempting to be defensive, but instead, I ask that you apologize, reflect for a moment, and move on. If you do not understand why issue was taken with your behavior, it is fine to discuss it with me and/or the class in a respectful, inclusive manner so that everyone can learn from the experience.
We all make mistakes with others; the important thing is that we learn from them and use it to help others in the future.
Confidentiality and Mandatory Reporting
College students often experience issues that may interfere with academic success such as academic stress, sleep problems, juggling responsibiities, life events, relationship concerns, or feelings of anxiety, hopelessness, or depression. As your instructor, one of my responsibilities is to help create a safe learning environment and to support you through these situations and experiences.
I also have a mandatory reporting responsibility related to my role as a university employee. It is my goal that you feel able to share information related to your life experiences in classroom discussions, in written work, and in one-on-one meetings, so I will seek to keep information you share private to the greatest extent possible. However, under Title IX and the Clery Act, I am required to share information regarding sexual misconduct, relationship violence, or information about criminal activity on or near Regis’s campus with the university.
If you wish to speak about these issues confidentially, the Office of Counseling and Personal Development (OCPD) can help. OCPD is located in the Coors Life Direction Center, Room 114 and can be contacted by phone 24/7 at 303-458-3507. For more information, see www.regis.edu/ocpd.
Important Notes on Expectations and Success
What You Should Expect
PH 465 covers material at a high level of conceptual and mathematical sophistication.
- Few examples covered in lecture. Most homework problems are not at all similar to examples from class.
- Difficult homework problem sets that sometimes cannot be completed by one individual working alone. Upper division physics students typically report spending a minimum of 10 hours per week on homework at most major universities.
- Challenging exams.
- A great deal of learning that is very rewarding in the end.
PH 465 is a challenging, upper-division physics course. Unlike more introductory courses, you are fully responsible for your own learning. In particular, to some degree, you control the pace of the course by asking questions in class. This means that if you don’t understand something, it is your responsibility to ask questions. Attending class gives you an opportunity to ask questions.
How to Succeed in this Course
The topics that we will cover in PH~465 are among the greatest intellectual achievements of humans. Don’t be surprised if you have to think hard and work hard to understand the material. You can perform very well in this class if you do the things necessary to learn physics:
- Do assigned reading before the lecture. Read extremely carefully; do not skim.
- Read with a pen and notebook; read very actively. Make notes while you read, and work out sample problems and steps of algebra skipped by the author.
- Attend every class, and engage as actively as you can while you’re there.
- Don’t attempt the homework without studying the chapter(s) first.
- Don’t get isolated: Work with your classmates to understand the material, study, and complete problem sets.
- Sometimes do get isolated: After working with classmates, always write up and consolidate your knowledge and solutions alone. test yourself to ensure that you understand.
- Start your homework assignments very early. No one is smart enough to do the homework in the last hour before class, and no one is smart enough to learn the material without working problems.
- Don’t fall behind; you will never catch up.
- Just reading the text, attending lecture, and doing the homework is not enough. You have to understand the material. Test your understanding. If you can explain the material, in words, to someone else, without referring to the text, then you understand. If you can complete a problem you’ve never seen before on your own, then you understand. You may need to do many more problems than just those that are assigned in order to understand. This course is not about memorizing; it’s about understanding.
Unfortunately, there has been a large spike in dishonest academic actions during the pandemic, so I need to spend some time being blunt about it.
Be aware: Any indication of academic integrity violations is grounds for immediate failure of the course. An indicent report will be filed with the dean’s office, and you will immediately fail, along with whatever other sanctions your college or program imposes.
So what does academic dishonesty look like? In the modern internet-connected world, it is not possible to enumerate all types. In summary, though, you are expected to be submitting your own work, and if you aren’t, it is academic dishonesty. If you are looking at a solution by a different person to a problem that I have assigned, then you are committing academic dishonesty. If you are copying any solution and misrepresenting it as your own, whether you got it from the internet or another student, it is academic dishonesty.
Like I said, there are too many forms of this sort of thing to list, but I’ll mention a few key ones.
- You should collaborate with peers, but you should not copy from peers. To do so is academic dishonesty. Two papers should never be identical, or have identical algebraic mistakes, or similar. See the homework section below.
- Exams are intended to represent your own work. If the solution you are submitting is not entirely your own and completed during the allotted time, then it is academic dishonesty.
- Commercial websites that provide solutions as a service are banned in all circumstances. There are too many of these websites to list, but the most popular one is Chegg. To be clear: Chegg is a cheating website. The Regis academic integrity policy bans obtaining commercial work by others to use as your own. If you have obtained a solution to a problem from Chegg or any similar website, it is cheating. There will be zero tolerance for such actions. If you have a Chegg account (or any similar account), I strongly encourage you to cease paying for it and using it right now.
This list is not all inclusive. Remember: Your work is expected to be your own. Though this can sometimes be a difficult subject, it is within your grasp and I am here to help. Even though the class is hard, I also design the grading so that it is hard to fail if you try. I want to help you succeed, but you must be honest with me if I am to do that. Do not gamble your whole career on one test or assignment.
One of the most important aspects of success in fields of high levels of intellectual difficulty is self-care. It is also one of the most neglected.
- Get enough sleep, and do so on a regular schedule. One of the biggest predictors of undergraduate success is sleep habits. For example, give this a read. Pulling all-nighters or similar is not useful at all except in the most basic, memorization-based classes.
- Similarly, take care of yourself in other ways. It is extremely important that you work hard, but working without also having complementary rest, relaxation, and self-care, is rarely very productive intellectually.
- We’ll be using various tools that make it very easy to communicate and collaborate – which is great! Be but careful of letting that become an always-online expectaction. You neither have to be responding to electronic communication all the time, nor should you expect that of your peers or me. It is OK and healthy to mentally check-out from those things regularly!
We’ll be using WorldClass for grade distribution and other digital communications. It will host homework and solutions. We’ll also use the discussions section for homework help, and you should feel free to chat on it, vent, organize study sessions, etc. I intend to cultivate a rather informal learning community, so you should feel free to make it your space, but please also remember that it is an extension of our classroom at Regis, so you should behave in compliance with the student handbook.
In particular, please note that I will not be answering questions that are purely scientific/mathematical in nature via private email. You are welcome to come by my office, ask in class, post on WorldClass, or contact a peer. I will be enforcing this rule to stress the collaborative nature of physics. You are unlikely to succeed in this class (or any other physics endeavor) on your own; you should make it a priority to support your peers and to accept their help. Collaboration is not only encouraged, it is implicitly required. I strongly suggest that you all frequently get together in person at times in addition to our scheduled meetings to discuss the material of this course.
In all cases, collaboration should be done in a productive, positive, humble, and honest way. You must do so in a way that is both productive for your learning and within the guidelines of the Academic Honor Code. This means that you should never be simply copying or sharing solutions - to do so is both useless for learning and an academic integrity violation. Seriously, don’t cheat, but seriously, help each other. This also means that you should be kind in offering assistance. Be generous, but do not grandstand or belittle. Listen as much as you talk, and always be asking yourself if your conversational approach is truly in service of truth-seeking and care for others.
- Daniel V. Schroeder. An Introduction to Thermal Physics. This book is great. I’ve spent a lot of time reading stat mech books, because I don’t want to make you buy something that isn’t worth it. This one is worth it, so please obtain a copy quickly, and give it your full attention. We will use this text immediately, so you should obtain it as soon as possible. It is available at the Regis bookstore, as well as most online booksellers. Be sure to amend your book according to the errata at http://physics.weber.edu/thermal/.
- Thomas A. Moore. Six Ideas that Shaped Physics, Unit T: Some Processes Are Irreversible, 3rd Edition. This textbook is written at a somewhat lower, less-comprehensive level than our primary textbook and is thus not sufficient as a primary text. However, it is probably the clearest description of the basic ideas of thermal physics that I have ever seen. Although it goes in a somewhat different order than our primary textbook, I strongly recommend reading it as a parallel supplement to our course. Earlier editions are also very good, but the chapters are in a slightly different order. Be aware of the errata at http://www.physics.pomona.edu/sixideas/. (PS: Don’t buy this book in advance of the first day of class. We will talk about using it.)
Reading is an essential part of PH 465! Reading the text before class is very important. Our class meetings are to clarify your understanding and to help you make sense of the material. I will assume you have done the required readings in advance and I will not simply repeat everything you should have read! Our book is fairly well written and readable - it will make a huge difference if you spend the time and effort to carefully read and follow the text. The calendar has the details on reading assignments.
You are expected to attend and fully participate in every class, both for your own learning and out of respect for your classmates. During class, we will have concept questions, tutorials, and other activities that are 85% graded for participation (not correctness) and 15% graded for correctness.
Each day, one student will be begin class by summarizing and briefly teaching the assigned reading (which all students are assumed to have read in detail). These summaries should last approximately ten-ish minutes, and they should be active teaching that encourages dialogue among the class, perhaps with questions or examples. They should always stay under twenty minutes - you are responsible for controlling the timing of the class during the presentation. You will receive a grade each full ‘cycle’ of students; two-thirds of the grade will be based on your presentation while the other third will be awarded for good-faith, well-prepared engagement when not leading the class. Your presentation day will be graded on a 1-5 scale on both “Presentation” (how effectively did you teach the material?) and “Preparation” (how well prepared were you?).
At the end of the semester, you will choose a longer “special topic” to study and teach in more detail. Details will be provided in class.
There will be a brief reading survey due prior to each class which will also contribute a small amount to this category. I reserve the right to give unannounced in-class quizzes; it is highly unlikely that this will happen if the class is mostly keeping up with the reading and homework, but if significant non-participation occurs I will begin giving them without warning (I have never had to do this so far in my teaching career – let’s keep it that way!). There may also be other in-class activities that contribute to this category, depending on the difficulties and interests we encounter along the way.
There will be two in-class midterm exams and a final exam. All exams are cumulative, although midterms will primarily focus on the material introduced since the last midterm. Details about exam format will be given in class.
All exams are cumulative of everthing covered so far in the course, as well as mathematics through calculus and the introductory physics sequence. Physics is inherently cumulative, always.
There will be a homework due approximately each week. Homework is arguably the most important part of a physics class – it is where you learn to use the concepts. You should start homework early and work on it consistently. You should treat the assigned problems as the bare minimum number of problems that one could plausibly need to solve to learn material; you should almost certainly be solving more problems than what is assigned for each topic.
You are encouraged to collaborate on difficult homework problems, but you must do so in a way that is both productive for your learning and within the guidelines of the Academic Honor Code. This means that you should never be simply copying or sharing solutions - to do so is both useless for learning and an academic integrity violation. Seriously, don’t cheat. You have no idea how easy it is to spot for your physics professors - the only question is when they decide to enforce it. Don’t gamble your whole academic career on saving some time on a homework problem. Instead, first take some time alone to attempt each problem and create your own ideas as to how they might be solved. Once you’re stuck, get together with classmates to brainstorm, talk through the problems, and work through a viable solution strategy. Finally, separate from the group, and write up a solution on your own, filling in the details. Remember, if you can’t solve similar problems on your own without help, then you haven’t learned the material and will not succeed on the exams or in real-life applications. Test yourself and, most importantly, be honest with yourself! For all assignments, the work you turn in must in the end be your own: in your own words, reflecting your own understanding. If, at any time, for any reason, you feel disadvantaged or isolated, contact me and I can discretely try to help arrange study groups.
You should cite any and all external assistance that you receive on any work - in fact, you should do this everywhere in life! If Angeline Kumar and Gunnarr Skuld helped you with part of a problem, then add a note to that effect (e.g., “Gunnar and I came up with the main idea of the solution together, and Angeline pointed out to me that we were counting the degrees of freedom incorrectly.”). If everyone, when hopelessly stuck, looked at the Wikipedia page for the “Ideal Gas Law” and happened to see a major piece of the solution, cite it explicitly. We all need help with physics sometimes, but we also need to both acknowledge that help and build on it with original thinking of our own.
In most cases, late homeworks will not be accepted. If you have an illness, family emergency, or similar excused reason for not completing an assignment, then you will be excused from that assignment. It is your resonsibility to go back and work the problems as soon as you can.
Computational Homework Problems
There will be some use of computation in this course on homework problems. You will need to use Python (through Jupyter notebooks). You do not need any computational experience for this course as you will learn some fundamentals early on and keep using them throughout the course. Python is used across the sciences as well as private industry, so learning it will serve you well in your future work, no matter what it is. Artists use Python, teachers use Python, data analysts use Python, sports teams use Python, and physicists use Python. I suggest downloading the Anaconda distribution of Python as it comes with all the packages you will need to get up and running with Jupyter notebooks, but you are welcome to use any other method of running Python code as well. In particular, you might find something like Google Colab useful, which can interface with Github, Google Drive, or a local storage drive.
Everyone will submit code via GitHub As you become involved with computational or analytic activities in the professional world, you’ll find that people expect you to manage your code and documents professionally, too. The standard way of doing so is with
git repositories (“repos”), often stored online on Github for easy sharing, distribution, and collaboration. You should make a Github account if you do not already have one; you are welcome to use a throwaway email address if you do not want to share your primary one. (However, Github is a very standard tool – if you think you might have involvement with any technical field or hobby in the future, I recommend making an account that you’ll be able to easily use for many years in many contexts, so use an email to which you’ll retain access and choose a username that you wouldn’t mind showing to a potential employer.)
If you get stuck with the technological aspects of the class, don’t be afraid to check the guides that I’ve posted here, ask for help on WorldClass, come see me, or Google it (as should usually be your first recourse).
Grading and Exams
Your course grade is determined as shown:
|Activity||Date||Percent of Grade|
|Exam 1||Wednesday, ?? /?? (tentative)||15%|
|Exam 2||Wednesday, ?? /?? (tentative)||15%|
|Final Exam||Dec 6 @ 1:15pm||15%|
Owing to the small class size and the inaccuracy of predicting grade distributions on upper division physics exam problems, the final mapping of letter grades to numerical scores will likely be revised at the end of the semester. However, as a rough guide, you should expect score distributions approximately as follows:
|Letter Grade||Description||Numerical Grade|
|A-||85 – 88|
|B+||82 – 84.99|
|B||Strong command of material.||78 – 81.99|
|B-||75 – 77.99|
|C+||72 – 74.99|
|C||Satisfactory command of material.||68 – 71.99|
|C-||65 – 67.99|
|D+||62 – 64.99|
|D||Unsatisfactory command of material.||58 – 61.99|
|D-||55 – 57.99|
I reserve the right to assign higher grades than would result from this table according to my judgment of the difficulty of the assignments and exams. No final grades will be adjusted or curved downward relative to the above table under any circumstance. For example, if everyone earned above an 88%, then everyone would get an A, so it is in your interest to work together and help each other learn physics.
Additional syllabus policies, including all university-wide policies, are enumerated here.