UPDATE PATTERNS IN (ENVIRONMENTAL) MATH SPRING 2025 SITARAMAN
PATTERNS IN (ENVIRONMENTAL) MATH 12 Section 2 SPRING 2025 UPDATE PAGE
SITARAMAN
Back to Home Page
Welcome! On this page you will see updates on what we did in class,
what is coming up, solutions to tests, etc., Keep checking!
Course Page with syllabus, grading policy and general information
Office hours MWF 3 to 4 pm Office 219 ASB-B
Other times email me at ssitaraman AT howard.edu (NOT bison.howard).
Zoom link for virtual meetings that might be necessary will be posted on Canvas.
Welcome.
Here you will see info about what we did in class, upcoming exams, solutions for past exams, etc.,
Here is what we did last time I taught this class:
UPDATE PAGE FROM SPRING 2022
Not everything will be the same but you can get an idea.
JOURNAL ASSIGNMENTS ARE 40% OF GRADE. IF YOU PAY ATTENTION, EASY TO GET THEM RIGHT.
Journal assignments will be posted under "Assignments" on Canvas. I will keep commenting and grading. Each entry (on a different math concept) gets 20 points.
Weekly journal assignments are worth 160 for the semester, but there maybe some extra credit at the end. There will also be a course project also to be filed under Assignments, worth 40 points. All Journal assignments together worth 200.
MANY OF THE CLASS NOTES BELOW WILL CONTAIN JOURNAL ENTRY SUGGESTIONS.
CHECK AT LEAST ONCE A WEEK!!
Started 1/9/2025
PLEASE READ ALL INSTRUCTIONS ABOVE AND KEEP UP WITH CLASS.
FINAL EXAM MAY 2 FRI 2PM IN SAME CLASSROOM. NO MAKE-UPS. REVIEW FRI 4/25.
Please study class notes, assignments and test solutions, and the following:
Spring 2022 Final exam solutions
Spring 2019 Final exam solutions
Wednesday, 4/23/2025.
Please read solutions.
Test 3 version 1 problems.
Test 3 version 2 problems.
Test 3 version 1 solutions.
Test 3 version 2 solutions.
Test 3 will be wed, april 23. Final exam May 2 Fri. NO MAKE-UPS FOR EITHER.
PLEASE BRING A REGULAR CALCULATOR. CELLPHONES CANNOT BE USED TO CALCULATE.
Please study: CLASS NOTES, ASSIGNMENTS, AND THE FOLLOWING:
(please work on problems before looking at answer)
Notes on probability from Sp 2019
Review problems on normal distribution, z-scores, correlation.
Test III review from Sp 2019 ;
Test III from Sp 2019
STARTING MONDAY 4/7, FOR NEXT TWO WEEKS WE WILL HAVE IN PERSON ASSIGNMENTS IN CLASS (I will help you) EACH 10 POINTS (PER CLASS).
MORE DETAILS ON CANVAS.
Friday, 4/18/2025.
Today we reviewed continuous compounding and exponential growth formula.
Notes from class today including assignment problems.
Please also read these notes on geometric sequences and compound interest.
Wednesday, 4/16/2025.
Today we reviewed geoemtric sequence and compound interest formula.
Notes from class today including assignment problems.
Please also read these notes on geometric sequences and compound interest.
Monday, 4/14/2025.
Today we talked about correlation and p-value.
Notes from class today including assignment problems.
Please also read these notes on Statistics and Probability (thanks to Dr. McGowan).
Friday, 4/11/2025.
Today we talked about expected value.
Notes from class today including assignment problems.
Please also read these notes on Statistics and Probability (thanks to Dr. McGowan).
Wednesday, 4/9/2025.
Today we reviewed ways of counting that help with calculating probability.
Notes from class today including assignment problems.
Please also read these notes on Statistics and Probability (thanks to Dr. McGowan).
Monday, 4/7/2025.
Today we started talked about ways of counting selections (combinations) after reviewing permutations etc., that help with calculating probability.
Notes from class today including assignment problem.
Please also read these notes on Statistics and Probability (thanks to Dr. McGowan).
Friday, 4/4/2025.
STARTING MONDAY, FOR NEXT TWO WEEKS WE WILL HAVE IN PERSON ASSIGNMENTS IN CLASS (I will help you) EACH 10 POINTS (PER CLASS).
MORE DETAILS ON CANVAS.
ASSIGMENT 9 due by sunday (4/2) night.
Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we started talked about ways of counting (permutations, repetitions allowed) that help with calculating probability.
Notes from class today including assignment 9 questions.
Please also read these notes on Statistics and Probability (thanks to Dr. McGowan).
Wednesday, 4/2/2025.
ASSIGMENT 9 due by sunday (4/2) night.
Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we started talked about using z-scores in normal distribution and probability of combined events.
Notes from class today including assignment 9 questions.
You will need these notes on Statistics and Probability (thanks to Dr. McGowan).
Monday, 3/31/2025.
Assignment 9 is due sunday night.
We went over normal distribution and started talking about probability.
Notes from class today including assignment problems
Friday, 3/28/2025.
No assignment problems today.
We went over test and talked more about normal distribution.
Notes from class today
Washington Post article on cancer in New Orleans, from 2022 ;
Thursday, 3/27/2025.
Please read solutions.
Test 2 version 1 problems.
Test 2 version 2 problems.
Test 2 version 1 solutions.
Test 2 version 2 solutions.
TEST 2 ON WED MAR 26. REVIEW IN CLASS MON MAR 24
PLEASE BRING A REGULAR CALCULATOR. CELLPHONES CANNOT BE USED TO CALCULATE.
Please study: CLASS NOTES, ASSIGNMENTS, AND THE FOLLOWING:
(please work on problems before looking at answer)
Test II review from Sp 2019 ;
Test II from Sp 2019
NO MORE LATE ASSIGNMENTS. PLEASE WORK ON THEM EVERYDAY.
Friday, 3/21/2025.
Slides from today's Guest lecture by Rishi Garg on Electricity Rates ;
Wednesday, 3/19/2025.
FRIDAY GUEST LECTURE IN CLASS IN PERSON. EXTRA CREDIT FOR ATTENDANCE.
ASSIGMENT 8 due by sunday (3/23) night.
Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we started talked about percentile and other measures of position in statistics.
ARTICLE ON INCOME DISTRIBUTION
Notes from class today including assignment 8 questions.
Detailed notes on Statistics and Probability (thanks to Dr. McGowan).
FOR ASSIGMENT, IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Monday, 3/17/2025.
ASSIGMENT 8 due by sunday (3/23) night.
Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we started talked about variance and standard deviation in statistics.
Please watch this video on the six sigma process before you do assignment.
Notes from class today including assignment 8 questions.
Detailed notes on Statistics and Probability (thanks to Dr. McGowan).
FOR ASSIGMENT, IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Friday, 3/14/2025.
ASSIGMENT 7 due by sunday (3/16) night.
Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we started talked about mean, median and mode in statistics.
We also watched videos on Simpson's paradox and the links are in notes below:
Notes from class today including assignment 7 questions.
Detailed notes on Statistics and Probability (thanks to Dr. McGowan).
FOR ASSIGMENT, IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Wednesday, 3/12/2025.
ASSIGMENT 7 due by sunday (3/16) night.
Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we started talked about statistics and specifically how data are presented.
Notes from class today including assignment 7 questions.
The data was taken from this NASA website.
FOR ASSIGMENT, IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Monday, 3/10/2025.
ASSIGMENT 7 due by sunday (3/16) night.
Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we started talked about statistics and specifically how data are collected and organized.
Notes from class today including assignment 7 questions.
FOR ASSIGMENT, IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Thursday, 2/27/2025.
Tomorrow's (friday) class will be on zoom and we will go over some of the assignment 6 problems.
Wednesday, 2/26/2025.
ASSIGMENT 6 due by sunday night.
Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about adding the numbers in a geometric sequence and application to calculating monthly payments on mortagage loans, etc.,
Notes from class today including assignment 6 questions.
FOR ASSIGMENT, IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Monday, 2/24/2025.
ASSIGMENT 6 due by sunday night.
Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about continuous growth and decay of exponential functions, and carbon dating.
Notes from class today including assignment 6 questions.
We also watched this video on carbon dating of bones.
We also listened to this talk on climate change and carbon dating.
FOR ASSIGMENT, IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Friday, 2/21/2025.
No assignment this week. Please do read notes because these questions could be in next test.
Today we talked about continuous growth of exponential functions.
Notes from class today.
Wednesday, 2/19/2025.
Please read solutions.
Test 1 version A problems.
Test 1 version B problems.
Test 1 version A solutions.
Test 1 version B solutions.
TEST I ON WED, FEB 19. Review fri 2/14.
PLEASE BRING A REGULAR CALCULATOR. CELLPHONES CANNOT BE USED TO CALCULATE.
Please study: CLASS NOTES, ASSIGNMENTS,
Solutions for midterm from Spring 22,
MIDTERM EXAM FROM Spring 21,
Test I review from Sp 2019 ;
Test I from Sp 2019
NO MORE LATE ASSIGNMENTS. PLEASE WORK ON THEM EVERYDAY.
Wednesday, 2/12/2025.
ASSIGMENT 5 due by sunday night. Only questions from today and monday.
Since yhou have 4 days, all of you should submit by sunday regardless of accommodations.
Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about the growth of exponential functions.
Notes from class today including assignment 5 questions.
We also watched this video on human population growth.
FOR ASSIGMENT, IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Monday, 2/10/2025.
ASSIGMENT 5 due by sunday night. Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about exponential functions and their applications.
Notes from class today including assignment 5 questions.
FOR ASSIGMENT, IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Wednesday, 2/5/2025.
ASSIGMENT 4 due by sunday night. Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about geometric sequence and exponential functions.
Notes from class today including assignment 4 questions.
We also watched this video on exponential growth.
FOR ASSIGMENT, IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Monday, 2/3/2025.
ASSIGMENT 4 due by sunday night. Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about quadratic equation and graphing parabolas.
Notes from class today including assignment 4 questions.
IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Friday, 1/31/2025.
ASSIGMENT 3 due by sunday night. Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about adding the numbers in an arithmetic sequence.
Notes from class today including assignment 3 questions.
IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Wednesday, 1/29/2025.
ASSIGMENT 3 due by sunday night. Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about arithmetic sequences.
Notes from class today including assignment 3 questions.
IF YOU HAVE MULTIPLE FILES, MAKE SURE YOU UPLOAD ALL BEFORE HITTING SUBMIT.
REMEMBER: WHEN YOU HIT SUBMIT, IT DELETES PREVIOUS SUBMISSIONS.
Monday, 1/27/2025.
ASSIGMENT 3 due by sunday night. Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked a bit about the environment, then discussed graphs of linear functions.
Notes from class today including assignment 3 questions.
We also watched a video about high speed rail in China.
Spring 2019 notes on climate change
Friday, 1/24/2025.
ASSIGMENT 2 due by sunday night. Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about climate change, graphs and functions.
Notes from class today including assignment 2 questions.
We also talked about how people use data to present their own viewpoints.
Articles making for and against arguments about electric cars' benefit for the environment:
Manhattan Institute article against
"Yes, EVs are green..." - Guardian Article for.
If you wish more articles with more detailed analysis and criticism of the Manhattan Institute article here is one from Desmog (with link to more articles)
and one from Union of concerned scientists.
Wednesday, 1/22/2025.
ASSIGMENT 2 due by sunday night. Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
You can submit as often as you like, but make sure you do them on your computer first.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about numbers and number systems, and how to write in base 2 and base 20.
Notes from class today including assignment 2 questions.
We also watched: Pi and the Fibonacci Sequence in Nature
Friday, 1/17/2025.
ASSIGMENT 1 due by sunday night. Questions are in the notes from each day, posted here.
To submit Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
AS OF NOW, SEEMS LIKE YOU HAVE TO SUBMIT ALL ANSWERS AT ONCE.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Today we talked about numbers and number systems, and how to write in scientific notation.
Notes from class today including assignment 1 questions.
Computations from class today.
Check out this article: Are there more stars than there are grains of sand on Earth?
Wednesday, 15 January
Today we calculated some probabilities and averages, and discussed how they play a role in life.
We also watched this video: Is Success Due to Hard Work or Luck?
Here are notes from class, including "TODAY'S QUESTIONS FOR JOURNAL ASSIGNMENT 1"
Also notes from class on average winnings in a lottery
Will post questions each day this week. They are all due by sunday night.
To get to Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
AS OF NOW, SEEMS LIKE YOU HAVE TO SUBMIT ALL ANSWERS AT ONCE.
Please work on assignment everyday on your computer, then submit them together after friday's class.
Monday, 13 January
Today we made introductions, and talked about the basic idea of average value and probability.
We also talked about climate change.
Here are notes from class, including "TODAY'S QUESTIONS FOR JOURNAL ASSIGNMENT 1"
Will post questions each day this week. They are all due by sunday night.
To get to Assignment, on Canvas course page, look for "assignments" on the left side panel on canvas.
AS OF NOW, SEEMS LIKE YOU HAVE TO SUBMIT ALL ANSWERS AT ONCE.
Thursday, 9 January
Final exam material from Spring 2022:
FINAL EXAM PROBLEMS.
FINAL EXAM SOLUTIONS.
Instructions for preparing for first class on Monday 1/13/2022.
IMPORTANT:Whether doing the Journals or Tests, you are expected, by the Honor code of the university, to do the work by yourself.
Any violation will result in forfeiture of journal or test grade or even an F in class.
We will have journal assignment due each week, and questions and suggestions will be given during class, and they will count for 40% of grade. Only correct answers get credit.
On canvas instructions for starting course journal will be posted. Basically you will do them in "Assignments."
Please watch the following videos. We will see examples of how math is used in studying climate change during class.
WHAT IS CLIMATE CHANGE? VIDEO: climate change 101
WEATHER VS CLIMATE
THE ECONOMIC INJUSTICE OF PLASTIC