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AP Physics 1 and 2 Resources
https://www.youtube.com/user/onlearningcurve/playlists ​- Yau-Jong Twu, best online lectures for
Physics 1/2
https://www.khanacademy.org/science/physics ​- Khan Academy for Physics, Sal Khan is the
king for explaining concepts succinctly and derives many equations, which helps with
conceptual understanding
http://earlhaig.ca/departments/science/physicsreview.php#Newton​- Earl Haig Physics, lectures,
examples, and other fun videos for Physics 1
https://www.youtube.com/user/Thrashcasting​- Thrashcasting, a physics teacher who’s made
short and digestible physics lectures
https://www.youtube.com/user/flippingphysics ​- Flippin’ Physics, short lectures of Physics 1/2/C
topics, demonstrations, and review of released exams
https://www.youtube.com/channel/UCobWLQy5RRDMk253E-KO1yw ​- Step-by-Step Science,
short and sweet explanations/worked examples of Physics and Chemistry concepts
https://drive.google.com/open?id=1y4hzZHjSqgVEkNbK4p6fIHcPq-gB95e6​- Giancoli’s
Physics 6th Edition, “Giancoli is to physics as Campbell is to biology” (tested link and safe)
https://cnx.org/contents/031da8d3-b525-429c-80cf-6c8ed997733a​- OpexStax Physics textbook,
arguably the best free online textbook for physics out there
https://drive.google.com/drive/folders/1FAUiPLNVC_FuITUC9c3T6kxCuFmQW5c0​Fairilina’s AP Physics 1 notes and problem sets with solutions, each unit has plenty of Physics 1
practice problems so definitely worth checking out
https://sites.google.com/site/physicalscienceburns/the-physics-classroom ​- Mr. Burns’ Physics,
powerpoints/notes/teacher-made practice
tests for Physics 1/2 (check tabs at the top and left)
https://sites.google.com/a/d128.org/mrmark/ap-physics-b​- Mr. Mark’s Physics 1 & 2, short
lectures, problem sets, practice tests, worksheets, and labs for Physics 1 & 2
https://www.crashwhite.com/apphysics/materials/index.html​- AP Physics 1/2/C Notes and
Practice
https://web.mit.edu/~yczeng/Public/WORKBOOK%201%20FULL.pdf - Workbook for Physics 1 (Best
workbook) (Make sure you download the PDF because it might go down-- if it does go down, just look up
the name of the course and “workbook” and the first page should have a picture of Einstein)
https://www.ccusd93.org/cms/lib/AZ02204140/Centricity/Domain/3325/AP%20Physics%201%20Student
%20Workbook_Student%20Edition.pdf - Official workbook from AP for Physics 1, mostly pedagogical
and for FRQs
http://web.mit.edu/~yczeng/Public/AP%202%20workbook.pdf ​- Workbook for Physics 2/B (Best
workbook; defunct course, but the problems are a combination of Physics 1/2 content) (Make sure you
download the PDF because it might go down-- if it does go down, just look up the name of the course and
“workbook” and the first page should have a picture of Einstein)
https://d3jc3ahdjad7x7.cloudfront.net/gz0INJisv2zkWWtsypWljKqwW9zSpfZYNCXJ6NgTKM
rngQZp.pdf​- Second workbook for Physics 2/B (Best workbook, same as above) (Make sure
you download the PDF because it might go down-- if it does go down, just look up the name of the course
and “workbook” and the first page should have a picture of Einstein)
https://greenhill.instructure.com/courses/2764/pages/unit-12-winter-exam-and-ap-exam-review​
AP Style FRQs for Physics 1 which are actually rather close to the real style of the AP exam, the only
downside is that there are not many solution sets for the FRQs (Click P1 Laboratory and Experimental
Design for an in-depth guide to writing experimental design FRQs)
http://www.stjohns-chs.org/science/dhovan_courses/untitled-2.html​- Mr. Hovan’s Physics 1, problem sets
and solutions as well as TIPERs, which are like physics puzzles (TIPERs are a personal favorite)
http://skyhawkphysics.weebly.com/-ap1-2nd-semester-review.html​- Mr. Norman’s AP Physics
1/2 problem sets and solutions
http://websites.nylearns.org/bfejzo/2013/9/6/381284/page.aspx​- Mr. Fejzo’s AP Physics 1/2
practice multiple choice and free response
https://sites.google.com/site/adhsbarry/ ​- ADHS Barry Science’s AP Physics 1 practice problems
http://www.physicsclassroom.com/class/1DKin/Lesson-6/Kinematic-Equations​- Some derived
kinematics equations
http://physics.bu.edu/~redner/211-sp06/class16/kepler3.html​- Derivation of Kepler’s 3rd Law
https://web.pa.msu.edu/courses/2000fall/PHY232/lectures/lenses/review.html​- A neat website
about mirrors/lenses
http://www.acs.psu.edu/drussell/demos/standingwaves/standingwaves.html​- Extremely useful
animations for understanding longitudinal standing waves (pressure waves)
https://phet.colorado.edu/en/simulations/category/physics​- PhET simulations, dozens of online
labs that simulate real-life physics phenomena
https://www.youtube.com/playlist?list=PLa5xw2RkwZ30QxhWEl6TBqN_DvWOEqH57​- We
Are Showboat’s youtube Physics 1/2 exam review (cram playlist)
http://www.aplusphysics.com/courses/ap-c/tutorials/​- AP Physics 1/2/C Cheat Sheets
https://drive.google.com/file/d/1afSpvH_9f8cNGnYGgIIrtiRudynnL-6S/view​- Physics 1 Cheat
Sheet
https://physics.info/​- Physics 1/2/C “hypertextbook” that’s good for cramming, has good
derivations and metaphors
http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html​- Another hypertextbook that briefly
summarizes various physics topics
AP Physics C Resources
http://apphysicslectures.com/AP_Physics_Help.html​- Viren, the absolute BEST free resource for
Physics C, hands down (must-watch lectures)
https://www.youtube.com/user/onlearningcurve/playlists​- Yau-Jong Twu, the 2nd best teacher for
Physics C, has good demonstrations and lectures/review
https://www.youtube.com/user/FizziksGuy/featured​- Dan Fullerton, the most technical teacher here,
requires a bit of background knowledge on the topics before watching his lectures, heavy on the
calculus but great lecturer
https://www.khanacademy.org/science/physics​- Khan Academy for Physics, Sal Khan is the king for
explaining concepts succinctly and derives many equations, which helps with conceptual
understanding
https://www.youtube.com/user/flippingphysics​- Flippin’ Physics, short lectures of Physics 1/2/C topics,
demonstrations, and review of released exams
https://www.youtube.com/channel/UCobWLQy5RRDMk253E-KO1yw​- Step-by-Step Science, short and
sweet explanations/worked examples of Physics/Chemistry concepts
https://www.youtube.com/channel/UCiEHVhv0SBMpP75JbzJShqw/featured​- Walter Lewin, one of the
most famous physics lecturers of all time
https://www.youtube.com/watch?v=vReiT-njJkA&list=PLChMr6xPWXVrPac7LCt0MVRHOA
vcdNpRh​- John Ballentine, short Mechanics lectures
https://www.youtube.com/watch?v=Up5DKL2Wf5w&list=PLChMr6xPWXVqDgOXCeVTzHm
BQdTRmWrNe​- John Ballentine, short E&M lectures
https://www.youtube.com/user/yoprofmatt/playlists?shelf_id=15&view=50&sort=dd​- Matt
Anderson, traditional college-like lectures on E&M
http://web.mit.edu/8.01t/www/coursedocs/current/guide.htm​- MIT Mechanics Notes
http://web.mit.edu/viz/EM/visualizations/notes/​- MIT E&M Notes
https://drive.google.com/drive/folders/0ByhkCyr-uir0VGZtb0JpNl9DTGM​- Elissa’s Notes,
from a student who took E&M; also included is Serway-Jewett’s Physics 6th edition along with
the solutions manual
https://drive.google.com/open?id=1y4hzZHjSqgVEkNbK4p6fIHcPq-gB95e6​- Giancoli’s
Physics 6th Edition, “Giancoli is to physics as Campbell is to biology” (tested link and safe)
http://faculty.polytechnic.org/cfletcher/Phys%20With%20Calc_Vol_2_web_pdfs_2010/aaPwCVol_2--Chapters,%20Review,%20Solu%27s.html​- AP Physics C E&M Textbook
https://drive.google.com/drive/folders/1sPZ_VUNki3CjvO_gr8K7ekaYiGC4qMLI​StruggleBuddies powerpoints on Physics C
http://bowlesphysics.com/apphysicsc/apcpowerpoints.html​- Mr. B’s Physics C powerpoints
https://www.crashwhite.com/apphysics/materials/index.html​- AP Physics 1/2/C Notes and
Practice
https://www.ocf.berkeley.edu/~daradib/chsntech/review/science/physics/mech/review.pdf​Mechanics Essential Equations
https://4.files.edl.io/e311/12/01/18/192538-f1cda721-6939-42a2-b2a1-a526bc897a16.pdf​Physics C Mechanics workbook (Best workbook) (Make sure you download the PDF because it
might go down -- if it does go down, just look up the name of the course and “workbook” and the first
page should have a picture of Einstein)
https://4.files.edl.io/a1c7/12/01/18/192531-e104853c-5935-4c58-92c1-63dab4d5e14d.pdf ​- Physics C
E&M workbook (Best workbook) (Make sure you download the PDF because it might go down -- if it
does go down, just look up the name of the course and “workbook” and the first page should have a
picture of Einstein)
http://www.stjohns-chs.org/science/dhovan_courses/untitled.html​- Mr. Hovan’s Physics C,
problem sets with solutions as well as TIPERs, which are fun little physics puzzles (TIPERs are
a personal favorite physics thing to do)
https://njctl.org/courses/science/ap-physics-c-electricity-magnetism/​- New Jersey Physics C
E&M practice
http://www.free-test-online.com/ap-physics-c-problems​- AP Physics C multiple-choice/FRQ
practice
http://sites.oregonsd.net/physh-s-physics/home/curriculum/ap-physics/ap-problem-sets​- Some
mechanics problem sets
http://apphysc.weebly.com/​- MVHS’s Physics C worksheets
https://sites.google.com/site/ptapphysicsc/unit-9-rotation​- Mr. Tucek’s Physics Worksheets
(note: these are blank, so these are more suited for teacher use rather than student use)
http://www.planetholloway.com/classes-taught/AP%20physics%20C/APCclass.html​- Planet
Holloway’s Physics C Worksheets and Notes
https://sites.google.com/a/lps.k12.co.us/mr-smith-s-science-page/ap-physics-c/unit-resources-ph
ysics-c​- Physics C multiple choice practice
http://www.cisd.org/cms/lib6/TX01917765/Centricity/Domain/582/C%20FRQ%20Index.pdf​AP Physics C FRQs sorted by topic
https://phet.colorado.edu/en/simulations/category/physics​- PhET simulations, dozens of online labs that
simulate real-life physics phenomena
https://www.falstad.com/circuit/​- LRC circuit simulator
https://physics.info/​- Physics 1/2/C “hypertextbook” that’s good for cramming, has good
derivations and metaphors
http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html​- Another hypertextbook that briefly
summarizes various physics topics
http://advancedmathyoungstudents.com/blog/2018/06/07/enough-calculus-to-get-started/​Base-level calculus needed to take Physics C (great for people who haven’t taken
calculus/aren’t taking it concurrently)
SAT Physics Subject Test Resources
http://www.cracksat.net/sat2/physics/​- SAT Physics practice tests by topic
http://prntscr.com/lydvtt​- SAT Physics topics by percentage
AP Physics Reference Tables
https://secure-media.collegeboard.org/digitalServices/pdf/ap/ap-physics-1-equations-table.pdf
https://secure-media.collegeboard.org/digitalServices/pdf/ap/ap-physics-2-equations-table.pdf
https://secure-media.collegeboard.org/digitalServices/pdf/ap/physics-c-tables-and-equations-list. pdf
Not for AP Physics, but for students who want to major in physics
https://www.physicsforums.com/threads/so-you-want-to-be-a-physicist-22-part-guide.240792/
If you want to major in physics, read this, it has good information
http://poincare.matf.bg.ac.rs/~zarkom/Book_Mechanics_Goldstein_Classical_Mechanics_optimized.pdf ​Goldstein’s Classical Mechanics Textbook
http://www.astrosen.unam.mx/~aceves/Metodos/ebooks/riley_hobson_bence.pdf - Riley, Hobson’s, and
Bence’s Mathematical Methods for Physics and Engineering, useful reference book for maths in
upper-level physics courses
https://kgut.ac.ir/useruploads/1505647831850hcd.pdf - A quantum mechanics textbook as a taste of
what’s coming
http://www.fisica.net/mecanica-quantica/Shankar%20-%20Principles%20of%20quantum%20me
chanics.pdf​- Shankar’s Principles of Quantum Mechanics, well-received graduate-level quantum
mechanics text
https://www.youtube.com/user/nptelhrd/videos​- (Very) advanced college-level physics lectures
(Quantum, etc.)
AP Physics C Self-Study Guide
Alright, so you’ve decided to self-study AP Physics C. Congratulations! AP Physics C is an
introductory calculus-based physics college course and each section (Mechanics and E&M) is supposed
to be taught in one semester. Some prerequisites for Physics C are either a calculus course (AB is just
fine, and calculus can be taken concurrently with Physics C) and maybe a small background knowledge
of physics -- know what force, mass, and velocity are before you walk into the class. If you’ve taken
Physics 1 or 2, you’ll be in even better shape. If you don’t have a physics background already, it’ll be a
little tougher, but you should be okay. Let’s look at our syllabi.
Mechanics
E&M
If you haven’t noticed already, AP Physics C: Mechanics is mainly Newtonian mechanics (linear
motion, rotational motion, work, momentum, and simple harmonic motion -- waves are NOT tested on
the Mechanics exam). If you’ve taken AP Physics 1, the only thing in here not taught in that course (that
requires basic algebra) is deriving the center of mass. AP Physics C: E&M is electromagnetism
(electrostatics, conductors, all four of Maxwell’s equations, electric circuits with capacitors, inductors,
and resistors, magnetic fields). If you’ve taken AP Physics 2, the only thing taught in that course that
overlaps in E&M is electrostatics, basic magnetism, basic circuits with resistors, and capacitors.
Everything else is new. If you have no idea what any of this means, don’t worry -- you’ll learn it soon!
All this being said, remember that this is a ​calculus-based ​exam, so the algebra-based stuff
taught in Physics 1 and 2 will be re-hashed with new calculus topics. This means finding derivatives,
antiderivatives, areas under a curve, instantaneous rates of change, solving separable differential
equations, and ​applying t​hese concepts in a physics setting. Examples include: velocity is the derivative
of position, acceleration is the derivative of velocity, current is the derivative of charge, etc. If you’re
taking calculus concurrently with Physics C, don’t worry too much about studying ahead; each course
should fit well into each other. If you’ve already taken calculus, you probably don’t need much review if
you did well, but it wouldn’t hurt if you did some light review on basic differentiation and integration.
With all that aside, it’s time for the self-study schedule. Remember that the resources each person
uses may vary, but this is what I found would work for me. Let’s jump right into it. Note that if you’re
only doing either Mechanics or E&M (so only one semester’s worth), you should use this schedule in
the spring so the content is fresh in your mind; if you can’t, just do some extra review before the exam.
Also, PLEASE watch every lecture at 2x speed.
The Prepper Course (3 months+)
●
●
●
●
●
●
The Speed Run Course (2 weeks to 2 months)
●
There are nine units of Viren for
Mechanics and nine units of Viren for
E&M*. Divvy up every unit into a week,
so watch every Viren lecture on the unit
and do problems from the workbook
labeled “best workbook” for each unit
until you finish all nine units. Don’t be
afraid to spend a little bit over the week if
you’re not getting it straight away, but
don’t spend too much time on one unit -you can move on and come back. But
you can also go quicker if you think
you’ve got it!
After you’ve finished each unit of Viren,
you should have plenty of time to go
back on the units you didn’t completely
get. Don’t be afraid to watch a lecture
multiple times to reinforce a lesson.
Finish the “best workbooks” and use the
other listed resources if you run out of
problems for a specific lesson.
At this point, you should also supplement
your lectures with Dan Fullerton and
Yau-Jong Twu for even more in-depth
information on each subject. Maybe even
watch the other lecturers pinned (But
these three are definitely the ones you
want, arguably need).
If you feel comfortable, you can start
really practicing for the AP exam by
doing released AP exams.
Keep rotating between refreshing
yourself by watching lectures, doing
practice from workbooks, and doing
released AP exams/FRQs.
*Note: Lesson M of E&M is almost
wholly obsolete, but the one concept you
should learn from there is the concept of
resistivity. Please don’t spend much time
on this lesson.
Take a day or two to watch the Viren
lectures for each of the nine units of
Mechanics or E&M*. Do very light
problems from the workbooks labeled
“best workbooks,” and move on. You’re
probably best off just trying to soak
information from the lectures.
●
If you have time, do more of the
problems from the “best workbooks” and
review lectures you are unsure of.
● A few days before the AP exam, try to do
a released AP exam or two.
*Note: Lesson M of E&M is almost wholly
obsolete, but the one concept you should learn
from there is the concept of resistivity. Please
don’t spend much time on this lesson.
●
The Crammer Course (1-2 weeks)
●
●
●
DANGER. NOT RECOMMENDED. But
hey, you gotta do what you gotta do. At
least try to have some background
knowledge on the curriculum before you
do this one.
Take a day each to do each Viren lecture
unit for Mechanics or E&M. Don’t do
any practice problems, just try to soak in
information from the lectures.
Do a released AP exam and see where
you stand.
Pray.
​FAQ
Should I take/self-study Physics 1, 2, Mechanics, or E&M?
Physics 1 and 2 do not often give college credit (at least good college credit) if you pass the AP exam, so
Physics 1 or 2 should not really be taken if you want college credit -- it’s really only if you want a GPA
booster or bragging rights. Physics C is where there’s actual college credit, so if you want to skip a
couple of physics classes in college, you should aim to pass the Physics C exams. As for Mechanics vs
E&M, Mechanics should be taken before E&M. However, if you already have a strong physics
background, E&M is possible to take without the mechanics prerequisite.
Which AP Physics will go with my major in college?
If you’re going into a STEM field, nearly all STEM fields will require a course in calculus-based physics,
and Physics C is the introductory calculus-based physics class, so having this under your belt may
exempt you from physics in college completely, or at least give you a leg up. For physics majors, I
actually recommend taking Physics 2 as well as Physics C, because introductory courses for physics
majors in college include special topics such as thermodynamics, optics, modern physics, etc. For
non-STEM fields, perhaps it’s worth reconsidering taking Physics C for the college credit if that’s your
main reason for taking Physics C and you should instead look into Physics 1 or 2 (but keep in mind
Physics 1/2 very rarely give credit). Of course, it all varies from college to college and degree to degree
so do a little bit of research before deciding on a course.
I’ve never taken a physics course before. Should I still take this?
Yes, you should be fine. Remember, Physics 1/2 and C are introductory level college classes, so prior
physics knowledge is not really required to understand these courses. Just know that you’ll have to work
a little harder to understand the physics first compared to your peers who may have taken Physics 1 or 2
already if you’re taking Physics C.
Is Physics 1/2 required for Physics C? Is it helpful?
Check out the syllabus section of the self-study guide.
Could I take both Physics C courses in one year?
Yes, each Physics C curriculum is the equivalent of a semester-long college course. In fact, taking
both courses in one year is the standard.
Is Physics 1 required for Physics 2?
Physics 2 is mainly separated from Physics 1 in terms of topics, but you should try to pick up a solid
grasp of basic kinematics and circular motion. Things like rotational motion and mechanical waves are
not required for Physics 2.
Which is harder, Physics 1 or 2?
Although both exams are formatted similarly, the score distributions speak for themselves: only about
5% of Physics 1 test-takers get a 5 on the exam while about 10% of Physics 2 test-takers get a 5.
Physics 2’s course material is objectively more complex, but since the depth at which you explore the
content is rather surface level, the exam isn’t too difficult compared to Physics 1, which has “easier”
content, but more in-depth questions.
How hard is Physics C compared to Physics 1/2?
The course itself is rather hard; however, the curve on the AP exam for Physics C is known for being
extremely lenient and relies much less on conceptual questions. About 70% of students who take either
Physics C exam pass, with about 30% getting a 5.
Which is harder, Mechanics or E&M?
From a self-study perspective, E&M is much, much harder. The concepts in E&M are abstract and
foreign to someone without prior physics experience. Also, the calculus in E&M is also known to be
harder and someone taking the AP exam needs to be exposed to a larger breadth of “types of problems”
(which means they’ll have to have more derivations memorized before they take the exam). On exam
day, however, don’t underestimate mechanics -- it can definitely throw in a curveball that’ll leave you
scratching your head. But for the most part, E&M is regarded as the harder course.
How hard does the calculus get for Physics C and how much do I need to know? Just about the first
half or so of Calc AB. Nothing more than u-substitution integration or separable differential equations.
No integration by parts, second-order/non-separable ODE’s, or anything like that.
Could I take Physics C without knowing calculus beforehand?
Yes, if you’re good at algebra-based physics, you can score at least a 3 or maybe even a 4 on the Physics
C exam because of the huge curve and the fact that half of the exam content is not really even calculus
required. However, if you’re going down this route, you better cram for multiple-choice, because the
FRQs are usually calculus intensive and require difficult calculus derivations. Also, a note, you can take
Physics C concurrently with Calculus AB/BC.
Are the courses more math-based or concept-based?
Physics C is definitely more math-based. If you’re coming off of Physics 1/2, expect more of the
plug-and-chug type questions rather than conceptual questions.
Do I have to memorize the moments of inertia?
No, you don’t. It might be nice to memorize some of the more common objects (solid sphere, hollow
sphere, cylinder, etc.), but any question involving the moment of inertia will give you the moment of
inertia. For the times that you will have to derive the moment of inertia for an object, it will be its own
entire question. Note: only the Mechanics will ask you to derive the moment of inertia of an object.
What derivations should I know for the AP exam?
For Physics 1: Check ‘AP Physics Reference Tables’ above
For Mechanics: Know how to derive Kepler’s third law, the moment of inertia for an object, equations
concerning Atwood machines, equations concerning elevators, escape velocity, orbital velocity, springs
in series and parallel, period/frequency of a pendulum (or any simple harmonic oscillator for that
matter), and solving separable differential equations (especially ones involving air resistance, since these
are the most basic and most likely to show up on an AP exam)
For E&M: Electric field due to a line of charge, electric field due to a ring of charge, electric field
due to a semi-circle of a charge, potential due to a ring of charge, potential due to a semi-circle of
charge, electric field due to an infinitely long line of charge using Gauss’ Law, electric field due to an
infinity long wide sheet of charge using Gauss’ Law, the electric field between a parallel-plate
conductor using Gauss’ Law (or known derived equations), electric field due to an infinitely wide
slab using Gauss’ Law, an electric field involving concentric spherical shells, electric field due to a
conducting sphere, electric field due to a uniform insulating sphere, electric field due to a nonuniform
insulating sphere, electric field due to coaxial cables, electric field due to an insulating cylinder,
potential difference as a path integral, separable differential equations of RC circuits, separable
differential equations of RL circuits, time constants for both RC and RL circuits, the magnetic force
between two current-carrying wires, Faraday’s Law as it applies to a bar moving on two conducting
rails, basic equations of LC circuits, conceptual understanding of RLC circuits
Should I get review books?
From my experiences from Barron’s book for Physics C, review books are awful for studying the topics -they’re overly complicated, chock-full of mistakes, and include a superfluous amount of information. If
the other review books are like that (which I’ve heard), you’re better off not buying these, and at best, use
these as a last resort or a final review. If you’re determined to use review books, 5 Steps to a 5 has the
best reputation; Barron’s and Princeton are not good.
Do you recommend textbooks?
I rarely used a textbook, but ones I’ve found helpful/heard were useful include: College Physics for AP
Courses (OpenStax), Halliday’s Fundamentals of Physics, Giancoli’s Physics, or Freeman’s University
Physics.
How much has the Physics C exam changed? How far should I go back in using old exams?
The course content hasn’t changed in decades. You can use any exam you get your hands on, but I’d
recommend doing recent FRQs as the modern questions are worded a little different; the MC is nearly the
same.
Who is the author of this document?
I’m currently an alum from NC State (Class of ‘21 and go Wolfpack) who majored in physics. I got 5’s on
all four of the physics exams and wanted to give back to the community that helped me get to that point.
You have typos/broken links/I want to give a suggestion/I have a question not answered by the
FAQ/I want to donate.
You can contact me at my email ​bip.rilly@gmail.com​​for suggestions, questions, or corrections. If you
want to donate, there’s information at the top of the document about it. Thanks!
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