Mathematics 110
Mondays and Wednesdays, 1:302:50
Hegeman 308: Daniel
Newsome Presiding
Office: Learning Commons, Stone Row basement [map] Email: dnewsome@bard.edu 
Office Hours: Mondays and Fridays from 3:004:00 ...or
by appointment. Parent Webpage: http://www.mifami.org 
Updated: 2/24/20 12:06 PM
Textbook: Precalculus by Collingwood, Prince, and Conroy.
Open source text, dated June 19, 2019.
Link to PDF
Due Date 
Assignment 
ExtrasOptionsAddenda 
Mon. 1a 1/27 
1a: First
Class. Meet and Greet. Nothing due today for obvious reasons. 

Wed. 1b 1/29 
1b: Have this done for 1/29: Read all of Ch1. Do the following exercises on pp. 810: 1, 3, 4, 5, 7, 8, 10, 11, 13, 15, and 17. Come to class ready to do them on the board if necessary.
Turn in full presentation of 1.4 on p8 and 1.10 on p9. [See below for expectations on turnedin homework.] 
Notes on HW assignment. For 1.4, notice that the
cylinder must circumscribe (not inscribe) the square base described in the
problem. Also note that the
numerical answer provided at the end of the book is the mass of the air in
the cylinder, not the amount of kilograms that it exceeds the mass of the
tower itself. The wording in the
book is a bit unclear. 1.13: Solution and
written up well General Impressions of 1^{st} HW Assignment:  Get a stapler if you don't already
have one.  Get or make a compass and straight
edge.  Many of you needed much more prose
to explain the math. Tell the
story of the problem.  Some of the drawings were
great. Some were just ok. Some were pretty bad.  Layout was good on most, but a few
were chaos. 
Mon. 2a 2/3 
2a: The following is due on Monday, 2/3:
Read Ch2. Do these problems: pp. 2224: 1, 2, 5, 7, 9, 11a, 11c, 12, and 13. Some of these are quite hard. Don't get discouraged. Do the Extra Materials for Ch2 [Hard copy handed out in class.]. Conversions, Excel, and Repeating Decimals. Turn in the "Extra Materials for Ch2" handout and the
following problems from Collingwood, Ch2 (pp. 2224): Write up 7 & 9. In class: Issues from Ch2. Then "Completing the Square" and problem 3.2a, 3.2c. Example 3.3.1. Then discuss exercises 3.1a, 3.6ab, 3.8b if time. 
Note for Example 2.3.2: Given: Michael has a velocity of
15ft/s to the right, and Aaron is going 8ft/s to the left. Extra Credit: problems 2.3
and 2.4*, *Problem 4: The answers in
the back for part b are inverted, columns for rows, and it assumes that you
put the origin of your graph 2 miles directly below Erik's boat. HW Ch2 Solutions: These are just the computations. This would earn 10/10. 2.9Full Solution by Anon. Student This did earn 10/10. 
Wed. 2b 2/5 
2b: Chapter 3: Horizontal & Vertical Lines AND Circles Read Ch3. Do exercises on pp. 3132: 3.1, 3.2, 3.4, 3.5, 3.6, and 3.8. You may need to review how to complete the square for some of these. Turn in exercises 3.2b and 3.4 In class: Go over problem similar to 4.3. Area of triangle, etc. 
y = (x, 2) for any x 
horizontal line at y = 2 x = (4, y) for any y  vertical line at x = 4 All points that are a
fixed distance from a given point is a circle: Ch3 Solutions to Assigned Exercises: a bit messy More detailed look at 3.2a with additional comments on circles. 
Due Date 
Assignment 
ExtrasOptionsAddenda 
Mon. 3a 2/10 
Read Chapter 4 (pp. 3350). This is a long one. We'll spend two classes on Chapter 4. Do Exercises: 4.1, 4.2, 4.3, 4.4, 4.5 found on p51. Turn in the following ch4 problems: 4.3 (all parts). This is an expansive problem. Accurate and relatively large graphs are very useful. Graph paper for the graphs is also helpful, but not necessary. Turn in: Make a linear model to predict the world's population in the year 2050. Use population data points from the years 1900 and 1999 only. Then make another linear model using only the population data from 1999 and 2012 to predict the population for 2050. Comment on these models. [Look up necessary data.] 
Notes: Choose your perpendicular for problem 4.3a wisely. There is one easy perpendicular, and there are 2 much harder ones. Choose the easy one. The mathematics in this problem is figuring out which is the easy perpendicular, not doing the calculation. Problem 4.3b requires that you find x and y intercepts. Hint: What are the coordinates of intercepts in terms of ordered pairs, (x, y)? A few World Population Graphs. Solutions to the exercises assigned for today. 
Wed. 3b 2/12 
Turn in problem 4.6 (all parts)... from Ch4 exercises. As always, draw excellent diagrams and use lots of prose to describe what you are doing.
Make an Excel Quadratic Formula Calculator. Input a, b, and c, and output the two values for x. Here is a PDF for guidance: QuadCalculator.

Detailed Solution
to 4.6 Methods in this problem will be useful for the quiz. Note: The diagram in this PDF has many of the answers
included. I added them to the
diagram as I figured them out. General Notes on HW: 1) GET
STAPLERS! I'll start marking
–1 for unstapled HW. Next
week, –2, etc. 2)
Identify the HW below your name with the due date. E.g. "Exercises 2.7 and 2.9  Due
Feb. 3^{rd}. 3) Many of you still need much more prose. Walk me through your thinking, don't just calculate. That's not only boring, but it is not really mathematics. It's computation. 
Mon. 4a 2/17 
Turn in TakeHome Quiz1: The Circle and the Line. Due today. Problems 13 can be answered directly on the quiz itself. I suggest you do the calculations on another sheet of paper and then transfer your pristine solutions to the quiz sheet. Unless for some reason you want me to see them, I don't want to see your scribbles. Problem #4 should be done on your own paper and presented like a homework writeup. Full commentary, diagrams, pertinent calculations, jokes, etc. 
GoogleSheets  almost identical to Excel 
Wed. 4b 2/19 
Do these problems from chapter 4: 4.8, 4.9, and 4.16. [4.8 is quite hard.] Read Ch5 and then do the following problems: 5.1, 5.2, 5.5, 5.6, 5.9, 5.10. Turn in problem 5.6. 
Time is running out to turn in back homework for credit. The older the assignment, the less credit available. Because the solutions are posted for most of the previous homework, if you want some credit, you need to do it well and with clear diagrams and commentary. A description of how homework should be done is below. Here is the solution to 4.8. Try to do it first, before you look at this. Solution to 5.6 and other problems  These are rather abbreviated. 
Mon. 5a 2/24 
Ch6 (We'll be doing an abbreviated version of this chapter) Do 6.5, 6.6, 6.10, and 6.13. Turn in: 6.10. All the bells and whistles. Turn in this worksheet: The Square Root of a Square Root 
Ch6 Solutions  coming soon... 
Due Date 
Assignment 
ExtrasOptionsAddenda 
Wed. 5b 2/26 
Ch7 Read over Ch7. Do these exercises: 7.1 and 7.2 Turn in: 7.1b and 7.2c. Remember to walk me through these problems. Don't just present the calculations. Your presentation should be understandable to anyone who is familiar with this material. Your presentation should be a selfcontained essay. Your presentation should be the 2^{nd}, not the first draft and nicely formatted. If possible, your presentation should be entertaining too. What's on your mind? Talk to me. [Staples required.] 
and Notes for doing 7.2 7.1 and 7.2 solutions coming soon... A few of you might benefit from doing your homework in the Math Study Room. The details of when, where, and who are below. 
Mon. 6a 3/2 
Ch7, pt2 

Wed. 6b 3/4 
Review of chapters 1 – 7. TakeHome Midterm Exam 

Mon. 7a 3/9 
Ch8 

Wed. 7b 3/11 


Due Date 
Assignment 
ExtrasOptionsAddenda 
Mon. 8a 3/16 
8a: 

Wed. 8b 3/18 
8b: 

3/23 
Spring Break 

3/25 
Spring Break 

3/30 
Cancelled Rescheduled 5/18 

4/1 
Cancelled Rescheduled 5/19 

Mon. 9a 4/6 
9a: 

Wed. 9b 4/8 
9b: 

Mon. 10a 4/13 
10a: 

Wed. 10b 4/15 
10b: 

Mon. 11a 4/20 
11a: 

Wed. 11b 4/22 
11b: 

Mon. 12a 4/27 
12a: 

Wed. 12b 4/29 
12b: 

Mon. 13a 5/4 
13a: 

Wed. 13b 5/6 
13b: 

Mon. 14a 5/11 Monday 
14a: 

Wed. 14b 5/13 Wednesday 
14b: 

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

15b 5/19 Tuesday 
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.
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, 8¼C, 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.