SIR without Social
Distancing 
SIR with Social
Distancing gradually implemented 
Mathematics 110
Mondays
and Wednesdays, 1:302:50
Hegeman
308: Daniel Newsome Presiding
Office: Learning Commons, Stone Row basement [map] Email: bardmath@mifami.org 
Office Hours: Mondays and Fridays from 3:004:00
...or by appointment. Parent Webpage: http://www.mifami.org 
Updated: 3/30/20 4:32 PM
Textbook: Precalculus
by Collingwood, Prince, and Conroy.
Open source text, dated
June 19, 2019.
Link to PDF
I've moved the first half of the
assignments (the ones we have done already)
to a new page in order to clean
up this page, which was getting cluttered.
The older (previrus) assignments
are now here: First Half Assignments.
Updated
3/21/2020 The New Normal Page. Read it over please.
Due Date 
Assignment 
ExtrasOptionsAddenda 
Mon. 8a 3/16 
This class is moving online. Everything will be orchestrated from this
website. See: The New Normal Page. Ch9: Inverse
Functions. Read over this
chapter. It's actually pretty good. Do these
problems: 9.1a, 9.1b, 9.2a, 9.2b, 9.3, 9.5, 9.7a, and 9.9. Turn in this problem: 9.7a: Put both lines on the same graph and then
draw in y = x. Notice the symmetry
across y = x. Turn this in
electronically to: bardmath@mifami.org. 
Inverse
Functions: Essentially you
are doing this: (x, y) to (y,
x) Solve for x
instead of y. The range of
one is the domain of the other, and vice versa. Graphically
inverting y = x^{2} [not by best work] Homework Email: Must Read: The New Normal Page 
Wed. 8b 3/18 
Update 3/21/2020: I've moved this entire
assignment to its own page for organizational reasons. Here it is: SIR Modeling
Materials and Assignment This is the full assignment for 3/30
and 4/1. 
Intro Video on
Modeling an Epidemic: WelcomeToRemotePreCalculus.m4v I made a short
video doing 9.7a. It's here: 110PreCalc Use your Bard Google account for access. Over
Break Additional Materials: RadioLabPatient
Zero Excellent episode. Interesting use of sound and music. QuammenMalariaModeling
Describes the history of mathematical modeling (SIR model) 
3/23 
Spring Break
take a breath. 
The New Normal page has been updated with
new information: 
3/25 
Spring Break 
wash your hands 

Mon. 3/30 9a 
SIR Modeling
Materials and Assignment This is the full assignment covering
3/18 to and 4/1. [Same link as above in 3/18] 
Additional
Materials: RadioLabPatient
Zero Excellent episode. Interesting use of sound and music. QuammenMalariaModeling
Describes the history of mathematical modeling (SIR model) Optional: NYTimesInteresting
Graphics Virus on the Move This is another approach to modeling the
infection. MandavilliNYTCan
You Become Immune to the Coronavirus?  Finally, some news on immunity
for the Recovered population. 
4/1 9b 
Finish up all the SIR assignments and turn them in. 
Now, for
something completely different...Black Holes OverbyeInfinite
Visions (PDF) 
Mon. 10a 4/6 
Ch1011: Exponential
Modeling 
Tuning with Daniel: Video Ch10Solutions: coming soon... Optional Digressions: The Jazz Kittens on Instagram Cool Jazz on Ice 
Wed. 10b 4/8 
Ch11: Exponential Modeling Ch12a: Log Functions Ch12b: Paper Folding Exercise 

Mon. 11a 4/13 
Ch13: 3 Construction
Tools 

Wed. 11b 4/15 
Ch14: Rational
Functions TakeHome Quiz 

Mon. 12a 4/20 
Ch15: Measuring an Angle 

Wed. 12b 4/22 
Ch16: Circular Motion 

Mon. 13a 4/27 
Ch17a: Circular
Functions and Deriving basic Trig. Functions 

Wed. 13b 4/29 
Ch17b: Angle
Addition, Double, and Half Angle Derivations 

Mon. 14a 5/4 
Ch18: Trig 

Wed. 14b 5/6 
Ch19: Sinusoidal 

Mon. 15a 5/11 Monday 
Ch20: Inverse
Circular 

Wed. 15b 5/13 Wednesday 
Review 

Mon. ??? 5/18 Monday 
15a: Exam 

5/19 ??? Tuesday 
or... 15b: Special Problems 

Useful Graphing
Calculator: GeoGebra.
[Geogebra Classic 5 can be
downloaded and used offline. Scroll down
to download to a computer.]
You can also use Geogebra
6 online or as an app on a phone.
Another popular one is desmos. There is no
offline version that I am aware of.
I'll be updating this information shortly...
Math Study Room 
RKC 101  Sun–Wed, 7:00–10:00
Sunday 
Monday 
Tuesday 
Wednesday 
Julia Sheffler 
Jiangli Liu 
Yuexin Ma, (Echo) 
Riti Bahl 
Riti Bahl temporarily 
Felicia Flores 
Yiyang Zhou 
t.b.a. 
The Math Study Room is a place where you can casually do your
homework and have other students with math backgrounds help you when you need
it.
It is a great place to get
the help you need without the pressure of a professor.
Description of Class
"A course for students
who intend to take calculus and need to acquire the necessary skills in algebra
and trigonometry. The concept of function is stressed, with particular
attention given to linear, quadratic,
general polynomial, trigonometric, exponential, and logarithmic
functions. Graphing in the Cartesian
plane and developing the trigonometric
functions as circular functions are included." Course
Catelogue
Expectations
Treat this class like a job.
Show up on time, do the expected work on time, don't ask for extensions,
and don't make excuses.
If you cannot make it to class, email me [dnewsome@bard.edu] and let me know in advance. I don't need to know why.
Obviously, emergencies and special situations may occur and these will
be accomidated when appropriate.
Grading
This class is mostly about participating and taking the homework
seriously.
The quizzes and exams are just coersive ways to make you take the
homework seriously.
Grade breakdown:
Homework:
50%
Participation: 25%
Quizzes and Exams: 25%
The homework is the most important part of this class. There will be homework assigned for each class. Only certain problems from the assigned homework will be turned in, so these problems need to be done like a short essay. The problem needs to be restated or clearly paraphrased. Diagrams (if useful) need to be drawn and drawn well. Prose commentary needs to be written to guide the reader (me) through your thought process. Interesting mathematical work needs to be shown. If there is an equal sign, it had better be equal. Answers need to be highlighted or circled or somehow made obvious. Also, useful additional sources should be cited. [If you use a Khan Academy video, provide a link. If you use another textbook, cite it. If you use the Math Study Room, say so.] If you cannot solve the problem, you should figure out an estimate... an approximation... an educated guess... draw some diagrams and write that up as your homework. Simply stating, "I couldn't figure it out," is not good enough. Provide a range within which you expect to find the answer, even if you can't figure out how to set up the mathematics. Most homework that you turn in will require multiple drafts. I want to see the second (or third) draft, not the first. Messy first drafts with only the calculations will not be given much credit.
And remember, in most of the homework problems most of the numbers will have units: 5 inches, 24 mph, 8C, 33%, etc.
Don't forget to identify the units and put them in there with the equations. Units often cancel out, leaving you with a unit for the answer. If the units don't cancel out correctly, that's an excellent indication that something is wrong in your setup.
Participation includes attendance and promptness as well as traditional participatory activities like asking questions, volunteering to put something on the board, and laughing at my jokes.
From my point of view Quizzes and Exams are the least important part of the course. For whatever reason, students seem to place a great deal of importance on quizes and exams. Perhaps it is a high school thing. Perhaps students think that doing well on a test measures something above and beyond doing well on a test. In any event, I give exams and quizes from time to time. It seems to be what everybody expects from a mathematics course. The more you do the homework well, the fewer quizzes.