BLC-190 – Spring  2020

Algebra, Trigonometry, and Functions

 

                         -Professor: Daniel Newsome

                         -Office: Learning Commons, Stone Row basement [map]

-Email: bardmath@mifami.org

         -Office Hours:  Mondays and Fridays from 3:00-4:00

                                                    ...or by appointment.

-Parent Webpage: http://www.mifami.org

Class schedule: Wednesdays, 5:30-7:30 pm, Olin 201

          

         Calculator: Any basic scientific calculator.  IOS/Android calculators will work.


Syllabus

I'm revising all of the worksheets and homework as I go, so always...

Refresh Me      Refresh Me

[Use the reload/refresh button on your browser to see the latest updates.]

Last Up-Dated: 3/26/20 6:48 AM

 

All Homework and "Additional Materials" are listed on this table when they are due, not when I assign them.

Class #-

Due Date

Assignment

Additional Materials

i-1/29

Introduction

Diagnostic, Unit Conversions, and Excel Calculator

None

ii-2/5

 

Diagnostic, Conversions, Repeating Decimal, Simple Excel

 

Here is the homework due for 2/5: HW-2-PDF

Optional: RadioLab-For the Love of Numbers

iii-2/12

Triangle Puzzle and Exponents

 

Homework that's due 2/12:  HW-3-PDF

 

Properties of Exponents

 

 

iv-2/19

Homework due 2/19: HW-4-PDF

 

How I Feel about Logarithms Short video/animation

 

v-2/26

Homework due 2/26: HW-5

Derivation of Newton's Law of Cooling using the calculus.

 

John Oliver on Compound Interest and Fees

 

Here are the answers to HW-5.  I suggest you not look at this until you have attempted the problems.

vi-3/4

HW-6

Cube and Tetrahedron

vii-3/11

In-Class Quiz Cancelled. 

We'll do some review and I'll give you a take-home quiz instead.

Sample Quiz with Answers:  This models all of the problems in the actual Take-Home Quiz.

 

Take-Home Quiz Due 3/18

          

CoVid19 - Switch to Remote Classes

 

New email address for communicating with me: bardmath@mifami.org

My regular Bard email was getting too cluttered with frantic stuff from frantic people. 

I needed to set up a calmer place for doing education.

 

I'll try to work out office hours via Skype or GoogleMeet, but at present I haven't had time to set that up.  For the time being, just email me (bardmath@mifami.org) and I'll answer questions either in videos or phone calls, or in writing. 

 

Relax with some music:

-Distorted Reality

-Hippy Flam.

-Dance

 

viii-3/18

Homework 8 - PDF

Today, 3/18, is our first online class.

It will not be live, but recorded and written.

 

First half of class:

Here is the video going over Homework-8.  HW-8-video

 

Here are the Answers for HW-8.


Materials for 2nd half of this class:

 

-Watch this:  Intro to SIR [video]

MP4 version-Intro to SIR [video]

You will need to be signed into your Bard Google account to view this video.

 

-Read this: SIR Part 1 [PDF]

 

The homework assignment [HW-9] is posted below, on 4/1.

Here is a better still photo of the blackboard from HW-8-video

HW-8-StillBlackboard

 

HW-8 Addendum [video].  The gist of the problem in 3 minutes.

 

 

 

Spring Break -  Good Timing.

 

Over break: Listen to the RadioLab linked to on the right and read the Quammen chapter also linked on the right.  I'll send you the password to the password-protected PDFs in an email.

Read  and listen:

 

RadioLab-Patient Zero- Excellent episode. Interesting use of sound and music.

 

Quammen-Malaria-Modeling- Describes the history of mathematical modeling (SIR model)

 

ix-4/1

Class 9 - Due 4/1/2020

 

You should have listened to the RadioLab and read the Quammen over break.

 

This homework assignment is a bit heavier than usual.  I'm wanting to make up for the fact that last week was not really up to snuff.

 

HW-9:

-Download this PDF and fill it in: Exercise-I-SIR-1-form.pdf  It was created as a "form," so you should be able to fill in the empty boxes using a computer or tablet.  If it doesn't work as a form, just print it out, fill it out, and then scan/photograph it and then send it back to me at this address: bardmath@mifami.org

Please try to keep the files below 1 MB if possible and light your photographs evenly.

 

-Watch this: The revised Introduction to SIR: Pts1&2 [video]

 

-Read this: Modeling CoVid19 in SIR

 

Exercise 2:  Make an SIR spreadsheet.  [PDF]  I don't need proof of this assignment, but if you have a problem, please email me and we'll try to figure it out.

Helper videos:  Making SIR, pt1   and   Making SIR, pt2

 

Exercise 3: Play with your SIR spreadsheet (or the ones I've made: My SIR spreadsheets]. Use different inputs and try your hand at modeling the following situations:

1) A Zombie Infection - your choice of Total population.

2) The CoVid19 infection in a Total population of 100 people, and another with 2000 people.

3) A mild seasonal flu in a population of 500,000.

 

Take screen shots of your initial conditions and the graph,

then write up a paragraph analyzing your scenarios.

Send your analysis and screen shots to: bardmath@mifami.org.

 

Optional:

 

NYTimes story: Worst Case Scenario: slightly depressing, but appropriate vis-a-vis the assignment.

 

Gorman-Lab Animals and CoVid19

 

IOT- The Origins of Infectious Diseases

 

Lia-NYT- Which Country Has Flattened the Curve?

 

NYTimes-Interesting Graphics- Virus on the Move- This is another approach to modeling the infection.

 

Flattening the Curve- NYT

 

Mandavilli-NYT-Can You Become Immune to the Coronavirus? - Finally, some news on immunity for the Recovered population.

 

Related:

Quammen on the history of HIV/AIDS- good description of the "Molecular Clock."

x-4/8

Class 10: Last Class

 

- topic, tba.

 

 

 

Trig Identities Derived

          

          

         Math Study Room: RKC 101, Sunday-Wednesday, 7:00-10:00 pm.  This is a peer-tutor study room and is a casual place to get mathematical help.  This won't be active until about 2 weeks into the semester.

          

Precalculus Review Notes: Professor Ethan Bloch has created some precalculus review notes. I recommend using these notes as a reference during this course:

Precalculus Review Notes (in color)

Precalculus Review Notes (in grey)


Podcasts that might be of interest:

 

IOT-Pythagoras

 

IOT-Muslim Spain

 

IOT-Pi-

 

IOT-Early Islamic Maths

 

IOT-Prime Numbers

 

RadioLab-Numbers

 

RadioLab-For the Love of Numbers

 

IOT-Indian Maths

 

IOT-Zero

 

U.S. Students Lacking in Object Permanence Skills


 

 

         Course Description and Resources

          

         BLC190 reviews the material of a standard precalculus course.  It is intended for the student who has taken a precalculus (or similar) course in high school or college and wants or needs more practice with algebra, trigonometry, logarithms, and exponentials.  This course can be taken at the same time as a math, science or economics course, or in preparation to take such a course in a subsequent semester. It is frequently taken along with Calculus 1.

          

         This course does not fulfill the MC (math and computing) distributional requirement. 

          

         Please use my office hours or email me to arrange a meeting.  I'm here to help. [bardmath@mifami.org]

          

         Also use the Math Study Room, which has qualified math tutors available for walk-in service.  Feel free to do your math homework in the Math Study Room so that you can have instant access to math help.

          

         Your grade will be determined by the following:

          

         1/3 Attendance, Punctuality, Attention, Preparedness, and Participation: Treat this like a job. Email me if you will miss class.

         1/3 Homework: Completeness, Correctness, and Timeliness

         1/3 Quizzes and Exams:  There will be at least 2 exams and quizes whenever the spirit moves me.

          

         This is a Pass/Fail course.  Passing requires 70% or better.  Your midterm Criteria Sheet will indicate a letter grade so that will know where you stand, but your final grade will be pass/fail.

          

         ADA Statement

         The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Amy Shein (ashein@bard.edu) to determine if you may be eligible.