Math 1030 - Intro to Quantitative Reasoning - Section 1

MWF 8:15 - 9:45 AM

Office Hours: Wednesday 2:30-3:30, Friday 11:30-12:30 in JWB 314.

ANNOUNCEMENTS - Updated July 22

JULY 22

This is mostly copied from an email I sent out today.

PROJECT: This is another reminder the project is due the final regular day in class on Wednesday, August 1! If you are not very close to finishing the project you need to really get things moving at this point.

PRACTICE EXAM 2: Solutions are now available a few different places on this site. Also note that Problems 7 and 16 from the practice test were slightly reworded. You can open the link for the practice exam to see the changes.

EXAM 2: The day is Friday, July 27. There are plenty of resources available if you need help preparing.

FINAL EXAM: The day is Friday, August 3 at 7:30-9:30 AM in the same classroom as usual. This is comprehensive and will cover some of Chapter 10.

OFFICE HOURS: I will not be in my office for regular office hour times on Wednesday, July 25. I will be available from 9:45 to 11:30 on Wednesday, or you may make appointments with me on Tuesday or Thursday of this week.

BONUS FINAL REVIEW: There is now a Bonus assignment available for final exam review. You can see it here:
Bonus Review Assignment
This assignment is optional and will be graded mostly on completion. It is due the day of the final and will be worth 2 percent bonus points if it is completed.

JULY 16

Practice Exam 2
Solutions

JULY 11

Note that the course schedule has been changed. This Friday now includes both finishing up 4D and 8A. Everything else has been moved up by one day except the Exam, and the extra day is being used as a Review day just before the exam.

This has no impact on the homework that will be due this Monday, the 16th. The assignment will not be changed to add section 8A.

Also Homework assignments for the remainder of the year are now available.

JULY 2

This announcement is copied from an email I sent out today.

TEST:

I hope that the tests will be graded by Friday, but by Monday for sure it will be done.

PROJECT:

I strongly suggest assigning a group leader if you have not already. It makes it much easier to coordinate things and keep the group focused. I also strongly suggest beginning work on the project immediately. A month is not as long as it sounds! You should shoot for having the project totally done a week early so that if things are behind schedule you have some extra time to finish up.

If you have any questions of clarification or if you need to know some of the later material in the class in order to do your calculations, let me know either by email or in my office hours and I will clear it up.

Also if some member of your group becomes impossible to contact and does not show up to class, let me know about the situation as soon as possible.

Remember the project is due on August 1st in class. This is the last normal day in class before the final.

NEXT TIME:

No class on Wednesday due to 4th of July Holiday. I will see you Friday in class. There is a short homework assignment due next Monday, including a bonus problem, over what we cover on Friday.

Note that my office hours on Wednesday are cancelled as well for the Holiday.

HOMEWORK SETS

Set 1 (Due Monday, June 18):
Sec 1C # 29, 35, 36, 37-42, 57, 60, 66, 67, 71, 75
Sec 1D # 15-20, 23, 24, 29-32, 45, 46, 51
Bonus Problem (optional) at bottom of this page

Set 2 (Due Monday, June 25):
Sec 2A # 27, 28, 30, 33, 34, 38a, 39, 42, 47, 48, 51, 55, 57, 60, 65
Sec 2B # 32, 33, 35, 37, 38, 40, 41, 43, 47, 55, 57
Sec 3A # 17-19, 33, 34, 39, 44, 47, 53, 55, 58, 65, 73, 82
Bonus Problem (optional) at bottom of this page

Set 3 (Due Monday, July 2):
Sec 3B # 17, 23-25, 32, 34, 36-38, 57, 59, 64
Sec 3C # 21-24, 32, 47, 55, 58, 59-61, 63, 66
Sec 3E # 11, 18
Bonus Problem (optional) at bottom of this page

Practice Exam 1
Solutions

Set 4 (Due Monday, July 9):
Sec 4A # 21, 22, 25, 26, 28, 41, 53
Sec 4B # 27, 30, 32, 41, 43, 45
Bonus Problem (optional) at bottom of this page

Set 5 (Due Monday, July 16):
Sec 4B # 49, 51, 52, 55, 56, 58, 63, 64, 67, 80
Sec 4C # 23-25, 27-29, 32-34, 37, 39
Sec 4D # 15-19, 29, 30, 37, 38, 41, 43
Bonus Problem (optional) at bottom of this page

Set 6 (Due Monday, July 23):
Sec 8A # 9, 10, 14, 15
Sec 8B # 23, 25, 27, 29, 30, 37, 43, 49, 54
Sec 8C # 14, 15, 21, 29, 30
Sec 9A # 9, 11, 17, 21, 24
Bonus Problem (optional) at bottom of this page

Set 7 (Due Monday, July 30):
Sec 9B # 17, 18, 21, 22, 25-27, 29, 32, 35, 37
Sec 9C # 11-23 odd, 27-30, 37, 42, 43

Practice Exam 2
Solutions

Set 8 (Due Friday, August 3 at Final)
Sec 10A # 31, 37, 38, 45, 48, 50, 53, 56, 60, 62-64, 68-71
Bonus Review Assignment

CLASS SCHEDULE

Day	Sections Covered	Extra announcements
Week 1
June 11	Review	Syllabus handed out
June 13	Section 1C - Venn Diagrams
June 15	Sec. 1D - Arguments
Week 2
June 18	Section 2A - Unit Conversions	HW Set 1 Due
June 20	Section 2B - More Unit Conversions
June 22	Section 3A - Percentages	HW Set 1 Returned
Week 3
June 25	3B and Estimation	HW Set 2 Due
June 27	Section 3C/3E - Errors and Paradoxes
June 29	Exam Review Ch. 1-3	( Practice Exam 1 )( Solutions ), Project Introduced
Week 4
July 2	Exam 1	HW Set 3 Due
July 4	No School!	Independence Day
July 6	Section 4A/4B - Basic Finance and Interest	Project Groups assigned
Week 5
July 9	Section 4B - Compound Interest	HW Set 4 Due
July 11	Section 4C - Savings Plans
July 13	Section 4D - Loan Payments, 8A - Intro to Exponential Growth
Week 6
July 16	Section 8B - Doubling Time and Half Life	HW Set 5 Due
July 18	Section 8C/9A - Population Growth and Functions
July 20	Section 9A/9B - Linear Modeling
Week 7
July 23	Section 9C- Exponential Modeling	HW Set 6 Due
July 25	Exam 2 Review	( Practice Exam 2 )( Solutions )
July 27	Exam 2 - Chapters 4, 8, 9
Week 8
July 30	Section 10A	HW Set 7 Due
August 1	Final Exam Review	Project is Due Today!!!
August 3	Final Exam	( Bonus Review Assignment )

BONUS PROBLEMS

Remember that on these problems, you must show all work and complete all parts of the problem to receive credit. The grading will be harder on these than on normal homework!

HW Set 1 Bonus (Due Monday, June 18)
In a certain high school of 1000 students, 750 of the students are in a school club and 600 are taking a math class this year. Using just this information,
a) Is it possible to tell for sure how many students are both in a club and taking a math class?
b) If so, how many? If not, what is the highest possible number of students who could be doing both? What is the lowest possible number?

HW Set 2 Bonus (Due Monday, June 25)
The "Chicken McNuggets" or "Coin" Problem
One famous wording of this problem is in terms of the original Mcdonalds Chicken McNuggets boxes. They came in sizes of 6, 9, or 20 pieces. The question is, what is the biggest number of exact pieces you cannot get by ordering boxes of size 6, 9, or 20? For example, you cannot get exactly 10 pieces. You can find more about this on Wikipedia if you are interested, although the article was not really written for basic math students: McNuggets

This is quite a complicated problem, so the one I give you is a little easier. Suppose we restrict scoring in football to 7-point Touchdowns and 3-point Fieldgoals. What is the largest score that is impossible to have by just scoring Touchdowns and Fieldgoals?

Hint: There are 2 parts to this problem. One part is demonstrating that the score you find is, in fact, impossible to reach just with Touchdowns and Fieldgoals. For example, 5 is impossible. But there are higher numbers. The other part is showing somehow that ALL scores above that score ARE possible to reach with Touchdowns and Fieldgoals only. Think: what would happen if 3 scores in a row were all possible?

HW Set 3 Bonus (Due Monday, July 2)
Today's problem comes from the estimation book we worked out of on Monday. The question is: Which is worth more, the president's salary or the number of pennies that would fit in his office (The Oval Office)?
Hint: Some values you may want to find in the course of doing this problem (you can look online for some of them, or do estimates): The volume of the Oval Office, the volume of a penny, the president's salary. You will get full credit as long as your process makes sense, your estimates are reasonable, and you reach an answer. Don't be afraid to round some things to make the calculations easier!

HW Set 4 Bonus (Due Monday, July 9)
There is a house with 4 rooms in it in a row, connected by doors. There is a monkey somewhere in the house. Each night you are allowed to check one of the rooms to see if the monkey is there. Then during the day the monkey must go through a door to an adjacent room and stop there until the next day.
Question: Is it possible to devise a strategy of checking rooms so that you eventually find the monkey for sure? If so, what is the longest it might take for your strategy to work?
Hint: Try solving it for 3 rooms in a row first. See if a similar strategy can be devised for 4 rooms.

HW Set 5 Bonus (Due Monday, July 16)
In class I discussed an episode of Futurama, in which the character Fry is frozen in stasis for 1000 years. During this time, he has 93 cents invested in a bank account with annually compounded interest. After 1000 years, his account is worth about 4.3 billion dollars. The question is, what was the APR on Fry's bank account in order to earn this much money over the 1000 years?
Hint: Use the compounding interest formula. Either one will work since the compounding is annually. Which one of the variables do you not know? How do you get it by itself? Your answer should be somewhere between 1% and 10%.

HW Set 6 Bonus (Due Monday, July 23)
Computer processor speeds are measured in Hertz (Hz). The unit Hz is "per second", 1/second. Basically in reference to computers it means number of instructions it can handle per second. Good computers today have 3 Gigahertz (GHz) processors.
a) Write 3 GHz in scientific notation (in terms of Hertz). You will need to find what the prefix Giga- means.
b) Briefly study the history of processor speeds over time by searching online. They of course increased as technology improved, but how? Would you describe the increase in processor speed over time as Linear, Exponential, Logistic, or Overshoot + Collapse? Explain your answer. Create a graph of Year vs. Maximum Processor Speed if it helps your explanation.