Math 110: Elementary Mathematical Modeling

Fall 2008

MWF 08:00-08:50 (Carr 223)

 

Go to course Math 110 Syllabus

Link to Math 110 Guide to Using Excel

            For Excel 2007 users: How to add and access Data Analysis tool in Excel 2007 + demonstration video

Link to the textbook (Kime et al., 4th ed.) student companion website

*NEW* Daytime Math Tutor Schedule for Carr 215

Old Quizzes/Exams and Keys

 

Note: Assigned homework problems are from the Exercise section at the end of each section unless otherwise noted.

 

36. Class Session Fri 21.Nov:

            Returned Quiz #6

            Covered homework 7.7

                        Excel file for #9

Excel file for #14

Answers to fitting power functions:

a) (1,1) & (5,125)      : y = x3          

                                    b) (2, ¼) & (4, 1/16) : y = x-2 or y = 1 / x2

                                    c) (2,8) & (5,50)        : y = 2x2

Reminder:

Project #1 (50 pts) due Mon 24.Nov in class

Exam #3 over Chapters 6 & 7 on Wed. 03.Dec

            Homework for Mon 24.Nov:

                        Complete Project #1

 

35. Class Session Wed 19.Nov:

            Gave Quiz # 6 | KEY

            Introduced 7.7

Log-Log handout | Excel file

Fit power function (weight as function of height) to NBA athletes | Answer KEY

handout from 07.Nov: Handout Summarizing Linear, Exponential, and Power Functions

Reminder:

Project #1 (50 pts) due Mon 24.Nov

Exam #3 over Chapters 6 & 7 likely on Wed. 03.Dec

Project #1 note:

When you are making the linear scale graph for the CO2 dataset, it does not make a difference whether you leave in the data points with the missing y-values. 

However, when you are making the log-transformed Y (=log y) vs x semi-log graph for the CO2 dataset, Excel will be attempting to take the LOG of nonexistent values and will report a #NUM! error in those cells.  Simply delete these erroneous Y values - there are seven of them, at (rescaled yrs since 1958) x-values of 0, 0.08, 0.42, 0.75, 6.08, 6.17, and 6.25 - to make the plot correct; your resulting R2 should then be very high and close to that of the linear plot.

            Homework for Fri 21.Nov:

                        Do 7.7 #1-3 + 5-17all

Fit power functions to the following pairs of points:

                                    a) (1,1) & (5,125) – we did this one in class: y = x3    

                                    b) (2, ¼) & (4, 1/16)             

                                    c) (2,8) & (5,50)

 

34. Class Session Mon 17.Nov:

            Covered homework 7.5-7.6

            Introduced 7.7 I’ll introduce 7.7 and give out the handouts on Wednesday after the Quiz

                        I’ll leave the links up in case you want to peek ahead:

Log-Log handout | Excel file

            Reminder:

Quiz #6 over 7.1-7.4 on Wed. 19.Nov

Project #1 (50 pts) due Mon 24.Nov

Announcement: Exam #3 over Chapters 6 & 7 likely on Wed. 03.Dec

            Homework for Wed 19.Nov:

                        Study for Quiz

            Homework for Fri 21.Nov:

                        Do 7.7 #1-3 + 5-17all

Fit power function (weight as function of height) to NBA athletes (Excel file)

Fit power functions to the following pairs of points:

                                    a) (1,1) & (5,125)                 

                                    b) (2, ¼) & (4, 1/16)             

                                    c) (2,8) & (5,50)

 

33. Classs Session Fri 14.Nov:

            Returned Quiz #5

            Covered homework 7.3-7.4

            Introduced 7.5-7.6

            Announcement: Quiz #6 over 7.1-7.4 on Wed. 19.Nov

            Reminder: Project #1 (50 pts) due Mon 24.Nov

            Homework for Mon 17.Nov:

                        7.5 #2-10evens + 14-20evens + 9,11,13

                        7.6 #4,6,7,8,14

 

32. Class Session Wed 12.Nov:

            Covered homework 7.1-7.2

            Introduced 7.3-7.4

            Handed out Project #1 – Project #1 handout | Project #1 Excel file (download by right-clicking and “Save Target As...”)

                        50 points – due Mon 24.Nov

            Announcement: Office hours tomorrow (Thu 13.Nov) shifted to 9:00-10:50

            Homework for Fri 14.Nov:

                        7.3 #1-12all

                        7.4 #2-12even + 9

 

31. Class Session Mon 10.Nov:

            Gave Quiz #5 | KEY

            Covered homework 6.6 | key to #13

            Introduced 7.1-7.2

            Homework for Wed 12.Nov:

                        7.1 #2 + 6-12evens

                        7.2 #2-14evens + 19,20,22

 

30. Class Session Fri 07.Nov:

            Covered additional questions 6.1-6.5

            Reminder: Quiz#5 over 6.1-6.5 on Mon 10.Nov

            Introduced 6.6 see also Handout over Semi-log plots | accompanying Excel file with graphs

                        example problem (from 6.5 #18) shown in class

            Summary of Exponential Functions

            Homework for Mon 10.Nov:

                        study for Quiz

                        6.6 #1-13all [ Excel file for #13 ]

 

29. Class Session Wed 05.Nov:

            Covered homework 6.5

            Announcement: we’ll have the quiz over 6.1-6.5 on Mon 10.Nov

            Homework for Fri 07.Nov:

                        Read 6.6 + Handout over Semi-log plots | accompanying Excel file with graphs

 

28. Class Session Mon 03.Nov:

            Returned Exam #2

            Covered homework 6.3-6.4

            Reminder: Quiz #5 over 6.1-6.5 (+ possibly 6.6) likely on Fri 7.Nov or Mon 10.Nov

            Homework for Wed 05.Nov:

                        prepare lingering questions over 6.1-6.4; we will look at 6.5

Read 6.6 + Handout over Semi-log plots | accompanying Excel file with graphs

 

27. Class Session Fri 31.Oct:

            Covered homework 6.2

            Introduced 6.3-6.5

            Announcement: Quiz #5 over 6.1-6.5 (+ possibly 6.6) likely on Fri 7.Nov or Mon 10.Nov

            Homework for Mon 03.Nov:

                        6.3 #8-24evens

                        6.4 #7-9,11-13 (read section for hints for 11-13)

                        6.5 #1,2,4-8,10,14,16,18

 

26. Class Session Wed 29.Oct:

            Gave Exam #2 | KEY

            Homework for Fri 31.Oct:

                        Read 6.3-6.5

                        6.2 #1-6 + 8-13 + 15-18

 

25. Class Session Mon 27.Oct:

            Reviewed for Exam

Reminder: Exam #2 over Chapters 4 & 5 on Wed 29.Oct – see old exams #2 (all years)

            Homework for Fri 31.Oct:

                        Read 6.3-6.5

                        6.2 #1-6 + 8-13 + 15-18

 

24. Class Session Fri 24.Oct:

            Returned Quiz #4

            Covered homework 6.1

            Introduced 6.2 – example for 6.2

            Reminder: Exam #2 over Chapters 4 & 5 on Wed 29.Oct – see old exams #2 (all years)

            Homework for Mon 27.Oct:

                        6.2 #1-6 + 8-13 + 15-18

                        work through practice exams, be prepared to ask questions in preparation for Wednesday’s exam

 

23. Class Wed 22.Oct:

            Gave Quiz #4 | KEY

            Covered 5.7 | Answers to 5.7 #1 + 5.7 #5

            Introduced 6.1

Reminder: Exam #2 over Chapters 4 & 5 on Wed 29.Oct – see old exams #2 (all years)

            Homework for Fri 24.Oct:

                        Read 6.1-6.2

                        6.1 #14,16,18,20,24,25,26,30,32

 

22. Class Session Mon 20.Oct:

            Reviewed for quiz on Wed.

            Introduced 5.7 – semi-log examples

            Reminder:

Quiz #4 over 4.6-4.7 + 5.1-5.6 on Wed 22.Oct – see old quizzes #4 (all years) and quiz #5 (F06)

                        Exam #2 over Chapters 4 & 5 on Wed 29.Oct – see old exams #2 (all years)

            Homework for Wed 22.Oct:

                        study for quiz

                        Do 5.7 #1-5 + 7 ( Excel file for 5.7 #1 + CelCount.xls & EColi.xls files for 5.7 #5 )

 

21. Class Session Fri 17.Oct:

            Continued with 5.5 & 5.6

            Returned Small Excel Assignments #1 & 2

            Reminder:

Quiz #4 over 4.6-4.7 + 5.1-5.6 on Wed 22.Oct – see old quizzes #4 (all years) and quiz #5 (F06)

                        Exam #2 over Chapters 4 & 5 likely on Wed 29.Oct – see old exams #2 (all years)

            Homework for Mon 20.Oct:

                        Read 5.7

                        Do 5.6 #23,24,26,27

 

20. Class Session Wed 15.Oct:

            Covered homework 5.3 & 5.4

                        answers to problems from Christain Science Monitor article (t = years since 1990)

                        (your answers may vary slightly depending on how you interpreted the endpoints on the graph):

                                    Public Tuition: Pub(t) = 2000 ∙ 1.0698t

                                                If tuition had followed inflation: Inf(t) = 2000 ∙ 1.0274t

                                    Private Tuition: Pri(t) = 10000 ∙ 1.0507t

                                                If tuition had followed inflation: Inf(t) = 10000 ∙ 1.0257t

                                    Note that the inflation growth factor is essentially the same

            Introduced 5.5 & 5.6

Important: My treatment of 5.5 differs from the book.  I use the single equation  a = 1 + r  for the relationship between per-unit growth/decay factor (a) and per-unit growth/decay rate (r), and r is positive or negative to indicate growth or decay.

            Announcement: likely schedule for upcoming weeks:

Quiz #4 over 5.1-5.6 4.6-5.6 likely on Wed 22.Oct – see old quizzes #4 (all years) and quiz #5 (F06)

                        Exam #2 over Chapters 4 & 5 likely on Wed 29.Oct – see old exams #2 (all years)

            Homework for Fri 17.Oct:

                        5.5 #1-6all + 12,12,18,22,23

                        5.6 #2,4,6,8,12-15all,22

 

*FALL BREAK*

 

19. Class Session Fri 10.Oct:

            Covered homework 4.6-4.7,5.2

            Introduced 5.3-5.4

            Homework for Wed 15.Oct:

                        Read remainder of Chapter 5

                        Do       5.3 #2-18evens

                                    5.4 #2,4-8all,12,14

                                    Tuition costs problem from article: CSM article about higher education costs

                                                use endpoints

calculate actual costs and “if followed inflation” costs for both private and public shools

 

18. Class Session Wed 08.Oct :

Returned Quiz #3

Small Excel Assignments due / my version of the graphs

Covered homework for 5.1

Introduced 5.2

Slides about logistics growth / human population growth

            Homework for Fri 10.Oct:

                        Read 5.3-5.4

                        Do 5.2 #1-10 (skip 3cd) + 13-15

 

17. Class Session Mon 06.Oct:

            Gave Quiz #3 / KEY

            Answered questions about Excel assignments (Reminder: due at beginning of class on Wed. 08.Oct)

            Did not cover homework 4.6-4.7 – be prepared to discuss these on Wed.

            Introduced 5.1

            Homework for Wed 08.Oct:

                        Read 5.1-5.4

                        Do 5.1 #1 + 2-14evens

 

16. Class Session Fri 03.Oct:

            Covered homework 4.1-4.5

            Introduced 4.6-4.7

            Reminder: Quiz #3 over 4.1-4.5 will be on Mon 06.Oct

                        see Quiz #3 for S08,F07,F06 and question #3 on Quiz #4 (F07)

                        also look at similar problems on Exam #2’s

            Reminder: Small Excel Assignments are due Wed 08.Oct (see Class Session #15)

            Homework for Mon 06.Oct:

                        4.6 #1,4,8,12,13,14,17

                        4.7 #1,4,8,10,12,14,16,19,20

 

15. Class Session Wed 01.Oct:

            Returned Exam #1

            Covered homework 4.1-4.3 (we’ll look at these on Fri)

            Announcement: Quiz #3 over 4.1-4.5 will be on Mon 06.Oct

                        see Quiz #3 for S08,F07,F06 and question #3 on Quiz #4 (F07)

                        also look at similar problems on Exam #2’s

Small Excel Assignments #1 & 2 (10 points each - due Wed 08.Oct):

Small Assignment Task Handout | Small Assignment Excel File

            Introduced 4.4-4.5

Homework for Fri 03.Oct:

Read  4.6-4.7

Do       4.4 #2,6,10,14,18, 23, 24

4.5 #2, 6-11all, 14-18all

 

14. Class Session Mon 29.Sep:

            My versions of Extended Exploration graphs: CaloriesKEY.xls | MotorKEY.xls | UnionKEY.xls

            Introduced 4.1-4.3

            Homework for Wed 01.Oct:

                        4.1 #1-9all + 11-14all

                        4.2 #2-14evens + 20

                        4.3 #2-8evens + 12,16,22

 

13. Class Session Fri 26.Sep:

            Gave Exam #1 / KEY

Homework for Mon 29.Sep:

            Extended Exploration pp. 162-164 #12 (CALORIES.XLS), 17 (MOTOR.XLS), 18 (UNION.XLS)

remember to Save & Open by right-clicking and doing “Save Target As...” or “Save Link”)

Read 4.1-4.3

 

12. Class Session Wed 24.Sep:

            Returned Quiz #2

            Excel handout KEY

            Reminder:

                        Exam #1 over Chapters 1-2 will be on Fri 26.Sep

            Homework for Fri 26.Sep:

                        no homework - study for Exam #1

            Homework for Mon 29.Sep:

            Extended Exploration pp. 162-164 #12 (CALORIES.XLS), 17 (MOTOR.XLS), 18 (UNION.XLS)

remember to Save & Open by right-clicking and doing “Save Target As...” or “Save Link”)

Read 4.1-4.3

 

11. Class Session Mon 22.Sep:

            Gave Quiz #2 / KEY

Excel exercise handout

BicycleRides file

Download in Explorer by right-clicking on the link and then choosing “Save Target As...”

Download in Firefox by right-clicking on the link and then choosing “Save Link As...”

Link to Math 110 Guide to Using Excel

Reminder:

                        Exam #1 over Chapters 1-2 on Fri 26.Sep

Homework for Wed 24.Sep:

Read Extended Exploration pp.133-147 145-157

Produce the graphs indicated in the handout ;

be prepared to ask questions about any problems you encounter

 

10. Class Session Fri 19.Sep:

            Covered homework 2.9

            Did not introduce any new material

            Reminder:

                        Quiz #2 over 2.1-2.9 on Mon 22.Sep

                        Exam #1 over Chapters 1-2 on Fri 26.Sep

            Homework for Mon 22.Sep:

                        Study for Quiz

                        Read Extended Exploration pp. 145-157

 

9. Class Session Wed 17.Sep:

            Covered homework 2.8

            Introduced 2.9

            Announcements:

                        Quiz #2 over 2.1-2.9 likely on Mon 22.Sep

                        Exam #1 over Chapters 1-2 likely on Fri 26.Sep

            Homework for Fri 19.Sep:

                        Read Extended Exploration pp. 145-157

                        Do 2.9 #2,4,6,8,12,14

 

8. Class Session Mon 15.Sep:

            Covered homework 2.6-2.7

            Introduced 2.8

            Homework for Wed 17.Sep:

                        2.8 #2-20evens + 24,27,28,29,32

 

7. Class Session Fri 12.Sep:

            Returned Quiz #1

            Covered homework 2.4.-2.5

            Introduced 2.6-2.7

            Homework for Mon 15.Sep:

                        Read 2.8-2.9

                        Do       2.6 #4-12 evens

                                    2.7 #4,8,...24 (every other evens)

 

6. Class Session Wed 10.Sep:

            Gave Quiz #1 / KEY

            Covered homework 2.1-2.3

            Introduced 2.4-2.5

            Homework for Fri 12.Sep:

                        Read 2.6-2.7

                        Do       2.4 #2,4,6,14

                                    2.5 #4,8,...24 (every other even) + 6,10,17        

 

5. Class Session Mon 08.Sep:

            Covered homework 1.5

            Introduced 2.1-2.3

Reminder: Quiz #1 over 1.1-1.5 will be on Wed 10.Sep

            Homework for Wed 10.Sep:

                        Study for Quiz #1 (see old quizzes, also look at chapter review in book)

                        Read 2.4-2.5

                        Do       2.1 #4,8,12,16

                                    2.2 #4,8,10

                                    2.3 #6,10,12,14,16,19

 

4. Class Session Fri 05.Sep:

            Reviewed more homework from earlier sections

            Introduced 1.5

Reminder: Quiz #1 over 1.1-1.5 will likely be next Wed 10.Sep or Fri 12.Sep

Homework for Mon 08.Sep:

            Read 2.1-2.3

            Do 1.5 #4-10all + 14-16all

 

3. Class Session Wed 03.Sep:

            Covered homework 1.3-1.4

            Announcement: Quiz #1 over 1.1-1.5 will likely be next Wed 10.Sep or Fri 12.Sep

            Homework for Fri 05.Sep:

                        Read 1.5

 

2. Class Session Mon 01.Sep:

            Introduced 1.2

            Covered homework 1.1-1.2

            Introduced 1.3-1.4

            Homework for Wed 03.Sep:

                        Read 1.3-1.5

                        Do 1.3 #1,2,4,6,8,10,11,13

                        Do 1.4 #4,12,16,18

 

1. Class Session Fri 29.Aug:

            Introduction to course - syllabus

            Introduced 1.1        

                                Problems with the concept of ‘average

            Homework for Mon 01.Sep (yes, there are classes on Labor Day!):

Read through the Math 110 Guide to Using Excel (link above)

Read 1.1-1.3

Do       1.1 #1-11odd + 15,16,18,19,28

correction: also do 1.2 #3-17odd