Math 110.107
Calculus II for Biological and Social Sciences, Fall 2008
General Information
Instructor: Ursula Porod, up@math.jhu.edu, Tel: 410-516-0156, Office: Krieger 207
Office Hours: Wednesday 12 - 2 and by appointment
Lectures: MWF 10 - 10:50 in Krieger 205
Textbook: Claudia Neuhauser. Calculus for Biology and Medicine, Second Edition, Prentice Hall 2004
Recitation Sections:
Section 1: Tuesday 4:30 pm in Krieger 308 with Nicholas Marshburn
Section 2: Tuesday 3 pm in Dunning 311 with Nicholas Marshburn
Section 3: Thursday 3 pm in Dunning 206 with Xin Yu
Section 4: Thursday 1:30 pm in Krieger 304 with Xin Yu
Announcements
9/2: The course begins in lecture on Friday 9/5. There will be no section meetings on 9/4.
9/17: The date for the Final Exam is: 9-12 Noon Friday, December 12, location TBA (see also the Registrar's website)
9/24: The Learning Den has posted their tutoring schedule for this fall. For more information and how to sign up for sessions, go to their website: http://www.jhu.edu/~advising/tutor.html
Our first midterm will be on Monday 10/6 from 10 (sharp) - 10:50. Please follow this room assignment: all students from Section 1 go to Maryland Hall 109, the rest of the students go to Krieger 205 (our usual lecture hall).
I will hold an extra office hour on Friday 10/3, 11:30 - 1:30 (in Krieger 207).
A study guide for the upcoming midterm can be found here.
Here is the long awaited Practice Midterm (pdf format) and solutions.
Here is a link to Midterm I including solutions and the average score. Your TA will return your papers and go over the solutions in detail during section this week.
There will be no class on Wednesday 11/26.
Our second midterm will be on Monday 11/10 from 10 (sharp) - 10:50. Please follow this room assignment: all students from Section 3 and Section 4 go to Shaffer 301, the rest of the students go to Krieger 205 (our usual lecture hall).
I will hold an extra office hour on Friday 11/7, 11:30 - 1:30 (in Krieger 207).
Here is a study guide including Practice Midterm II.
Here are the solutions to Practice Midterm II. (please note: There are two typos in the solutions: in Problem 1a), the answer should be -9 + pi; and in Problem 3b), the factor sin(pi y^2) is missing in the first expression in the numerator.)
Link to Midterm II including solutions and the average score. As before, your TA will return your papers and go over the solutions in detail during section this week.
Here is a list of Extra Credit Problems for this course. Please read the instructions carefully. No collaboration is allowed. Please note the extended deadline (Wed. 12/10 12:00 noon).
About the Final Exam:
The Final will be on Friday 12/12 from 9 - 12 noon.
Please follow this room assignment: Sections 1 and 2 are in Krieger 205, Sections 3 and 4 are in Shaffer 301.
Finals should be written in pen, not pencil. No written materials will be allowed, but the use of calculators (for routine computations only) will be allowed.
There will be a review session on Wednesday 12/10 from 12 - 1:30 pm in Krieger 205.
I will hold the following extra office hours: Monday 12/8 from 11 - 1:30 and Tuesday 12/9 from 11 - 1:30.
Here is a study guide including a set of recommended practice problems for Chapter 12.
Here are part 1 and part 2 of the solutions to the practice problems for Chapter 12.
Here are the solutions to the Extra Credit Problems
NEW: The grades for the Final are in. The average grade is 154 (out of 200). You can take a look at your final during my office hours coming Wednesday 12/17 from 12 - 2pm. I can briefly answer e-mails regarding your Final grade, but your e-mail has to be sent from your official Hopkins e-mail account. The final course grade computation will not be ready until later next week.
Homework
Keeping up with your homework on a regular basis is essential for mastering the material. You are encouraged to discuss problems with each other, but you must write up your solutions by yourself. Always write clearly and show all steps leading up to your solutions. Staple your papers and label them clearly with your name, your TA's name and your section number.
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Assignment #1 - due Monday 9/15 in class
Section 8.1.4 # 2, 4, 10, 12, 16, 20, 21, 22, 23, 26, 34, 38, 40, 45
Reading: Section 8.1
Note: For an additional discussion of the Logistic Growth Model check out the website
http://www.math.duke.edu/modules/materials/diffeq/logistic/
and in particular the interactive graph for the solution function in Part 2 on Equilibria.
If you are not able to access this website directly through the above link, write the words "logistic growth" in the appearing search box and follow the links from there.
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Assignment #2 - due Monday 9/22 in class
Section 8.2.5 # 2, 5, 6, 10, 12, 14, 15, 20, 22, 24
Reading: Section 8.2
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Assignment #3 - due Monday 9/29 in class
Section 9.1.3 # 2, 10, 16, 20, 22
Section 9.2.6 # 8, 10, 14, 15, 16, 17, 22, 24, 26, 32 updated!
(if you already did # 36, 38, 44, 48, 56, save your work, it will be part of HW#4)
Reading: Sections 9.1 and 9.2
Chicken and Rabbits - just for fun, this is not a homework problem
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Assignment #4 - due Monday 10/6 in class
Section 9.2.6 # 36, 38, 44, 48, 56
Section 9.3.4 # 8, 9, 10, 17, 20, 23, 34, 38, 42, 50, 54 (save # 64, 66 for HW#5) updated!
Reading: Section 9.3
Reminder: Our first midterm will be on Monday 10/6. For a study guide click here. See also the above announcements.
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Assignment #5 - due Wednesday 10/15 in class
Section 9.3.4 # 64, 66
Section 11.1.4 # 1, 2, 4, 22, 24
Reading: Section 11.1 (up to p.715)
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Assignment #6 - due Wednesday 10/22 in class
Section 11.1.4 # 6, 9, 14, 16, 28, 30, 34, 38, 40, 46, 58
"Computer Playtime": Here is access to the Slope Field Calculator used in class (click on the second item below Applet Tasks titled "Direction fields and..."). Use the Slope Field Calculator to investigate the behavior of the solution curves and the stability of the equilibria in # 28, 30, 34, 38, 40, 46.
Reading: Section 11.1 (all)
Stabilities of Equilibria - Summary
For a basic review of complex numbers: Read pages 12 - 14
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Assignment #7 - due Monday 10/27 in class
Section 10.1.1 # 4, 6 - 9, 11 - 14
Section 10.2.4 # 2, 6, 10 - 12, 14, 24, 26 - 28
Reading: Sections 10.1 and 10.2
Tools: link to graphing software (click on the link "Functions of Two Variables")
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Assignment #8 - due Monday 11/3 in class
Section 10.3.4 # 2, 24, 26, 27, 29, 41, 42, 44, 48
(for #26 and 27, also use the graphing software; use the following command for the square root: f(x,y) = sqrt(4 - x^2 - y^2))
Section 10.4.3 # 4, 8, 12, 14, 16, 20
Section 10.5.4 # 2, 6
Reading: Sections 10.3, 10.4.1, and 10.5.1
Tools: Here are two (interactive) graphs of functions f(x,y) that are not differentiable at (0,0), but that do have partial derivatives at (0,0).
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Assignment #9 - due Monday 11/10 in class
Section 10.5.4 #4 (find the derivative directly and by using the chain rule), 18, 24, 26, 30, 32, 34, 36, 38, 40, 42, 44
Section 10.6.4 #2, 4, 8, 10, 12
Reading: Section 10.5.3 and Section 10.6.1 (up to page 664)
Reminder: Our second midterm will be on Monday 11/10. See the above announcements for more information.
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Assignment #10 - due Monday 11/17 in class
Section 12.1.5 # 2, 4, 8, 10, 12, 16, 18, 20, 24, 25
Reading: Section 12.1
The Birthday Problem: In a room with 23 people, what is the likelihood that at least two people share the same birthday (day and month, not year)?
How about in our class (106 students)?
This is a famous probability problem with surprising answer. We'll be able to work this out soon. At this point, just take a guess!
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Assignment #11 - due Monday 11/24 in class
Section 12.2.3 #1, 4, 9 - 12, 14, 18, 20, 22, 30, 32 - 34, 40
Section 12.3.5 # 2, 4, 7, 10, 11, 12, 22, 26, 27
Reading: Sections 12.2 and 12.3
Here are links to a discussion of The Birthday Problem and to a graph of the resulting probabilities.
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No written assignment due on 12/1 - Happy Thanksgiving!
Reading: Section 12.4
Reminder: There is no class on 11/26
Here is a list of Extra Credit Problems for this course. Please read the instructions carefully. No collaboration is allowed.
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Assignment #12 - due Wednesday 12/10, 2pm (updated!)
Section 12.4.7 # 2, 3, 17, 19, 30, 31 - 33, 37, 38, 50, 51
Section 12.5.5 # 1 - 5, 9, 14, 15 - 20, 29
Reading: Sections 12.4 and 12.
Reminder: The Final Exam will be on Friday 12/12 from 9 - 12 noon. Check the above announcements for more information and for suggested practice problems.
There will be a review session on Wednesday 12/10 from 12 - 1:30 pm in Krieger 205.
The deadline for turning in the Extra Credit Set has been extended to Wed. 12/10 12:00 noon (sharp).
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