Math 103 - Section 205

Integral Calculus with Applications to Life Sciences

Winter Term 2, 2007

Instructor:    Matilde Lalín

Classroom:    Mathematics Annex 1100

Class Times:    Tuesdays - Thursdays 9:30 - 11:00 AM

Office:    WMAX 113

Office hours:   Tuesdays 11:00 AM - 12:30 PM and Wednesdays 12:00 AM - 1:30 PM in Auditorium 100A (Yum Yum's).

Phone:   (604) 822-8746

e-mail:    mlalin at math . ubc . ca

Important links:

• Math 103 Common Course webpage

• Course Text

• Homework
  

• Important Dates
  

• Topics covered in class
  

• How to study
  

• Special Announcements

• First Day Handout

Term Grade:

• Final exam: 50 %

• Midterms: 30 % (15 % each)

• Labs: 10 %
  

• Homework and Quizzes:  10 %  (the lowest mark of this set will be dropped)
  

Homework and quizzes:  Homework is weekly assigned  online and generally due on Thursdays. No late homework will be accepted.

If you would like to receive credit for your Homework, you must submit your work at the beginning of the class the day it is due, staple multi-page submissions and make sure that your full name and student number are clearly written on the top of the front page.

There will be two quizzes in class. You will not submit Homework assignment on quiz weeks. A schedule of dates for quizzes is posted online.

The lowest mark of Homework + Quizzes will be dropped

Exams: There will be two midterm exams. There will be a final exam on a date TBA. A schedule of dates for midterm exams is posted online. You may use a non-programmable, non-graphing calculator for the quizzes, midterms, and final. CHANGE: NO CALCULATORS OF ANY KIND WILL BE ALLOWED.

Labs: Labs will be held in MSRC 2 (overflow in MRSC 1 if necessary). Lab sections meet every other week with some starting the week of the 15th (L2A,C,E,G,I,K,M) and others starting the week of the 22th (L2B,D,F,H,J,L). After the first lab, students may attend any convenient lab session. The schedule for lab due-dates is posted online.

If you would like to receive credit for your Lab assignments, you must submit your work at the beginning of the class on the day it is due, staple multi-page submissions and make sure that your full name and student number are clearly written on the top of the front page.

Independent work: You are encouraged to work in groups and with friends on studying, on practicing the material, and on attempting problems, sample midterms, etc. You are also encouraged to discuss your work, labs, or other assignments. However, by putting your name on any submission to be graded, you are implicitly representing that submission as your own work. A misrepresentation of another person's work as your own is considered to be academic dishonesty.

Extra Help: Help with the course material and problem sets can be obtained from:

• Math Department Drop-in Tutorials. MSRC Rm #3 (west of Mathematics Annex building): Tutors are available, at no charge, to answer questions on a drop-in basis, starting the second week of classes and continuing through the final-exam period until the final exam.
  

• AMS tutoring. The UBC student society provides tutoring services.

• The instructor during office hours.
  

Missed midterms, quizzes, homework, and labs: If you are unable to attend one of the quizzes or one of the midterms, you must notify the instructor in advance with a legitimate excuse or provide professional documentation of any medical emergency etc. within two days of the exam date. In either of these two cases (and only in these two cases), the weight of the final exam will be increased to compensate for the missed midterm/quiz. Undocumented absence from midterms, and/or quizzes, homework, and/or labs not handed in or handed in late will be given a score of zero.

Re-marking requests: If you feel that a returned lab, homework, quiz or midterm is incorrectly marked, you can appeal that grade by writing a note that details your concern, attaching it to the assignment, and resubmitting. I will not accept appeals made after one week that the assignment was returned.

Class etiquette: Use of cell phones (including text messaging, answered or unanswered ringing etc.), laptops, pagers, Blackberries and most other electronic gizmos during class is highly inappropriate and disrespectful to both the instructor and fellow students. Chit chat with neighbours, even when whispered, is equally unacceptable. Arriving late and leaving early is also frowned upon.

Registration: Add/drop forms must be brought to the math department office. The instructor's signature is neither sufficient nor necessary on an add/drop form. See here for more information.

PLEASE REMEMBER THAT HOMEWORK AND LABS ARE DUE IN THE BEGINNING OF THE CLASS (9:30 AM). I'M ALWAYS FLEXIBLE ACCEPTING ASSIGNMENTS WHILE I'M IN THE CLASSROOM, BUT ONCE I LEFT THE CLASSROOM IT'S DEFINITELY TOO LATE.

• Due 4/10 TUESDAY: 12.3, 12.7, 12.9, 12.11, 12.13, 12.21, 12.23 (This homework is extra credit).
  
  Suggested problems: 12.6, 12.8, 12.15, 12.16, 12.19, 12.20
  
  Solutions to Chapter 12 problems.

• Due 4/5: 11.1, 11.3, 11.7, 11.9, 11.13, 11.15, 11.31 (ignore stability of steady states, just find the steady states)
  
  Suggested problems: 11.5, 11.8, 11.10-12, 11.28, 11.32
  
  The following problem was propossed by Prof. Israel. I highly recommend it!
  Problem: My bathtub has a flat bottom and vertical sides, so the volume of water in it is Ah where A is the area of the bottom and h is the depth of the water. When water drains out, it does so at a rate proportional to the square root of the depth, as in section 11.5.
  I start with an empty tub, stop up the drain and turn on the tap. It takes 10 minutes for the tub to fill completely. Then I turn off the tap, remove the stopper, and the tub drains completely in 8 minutes. Now I turn on the tap again, but (heedless of the resulting waste of water) I leave the stopper out. The tub fills partially, approaching a constant depth as t goes to infinity. How full will the tub get?
  Hint: You don't have to solve the differential equation with tap on and stopper out, just find a steady state solution.
  
  Solutions to Chapter 11 problems.

• Due 3/29: 10.5, 10.11, 10.13, 10.15, 10.17, 10.21, 10.23, 10.25
  
  Suggested problems: 10.1, 10.2, 10.4, 10.6, 10.7, 10.10, 10.14, 10.16, 10.18-10.20, 10.26
  
  Solutions to Chapter 10 problems.

• No homework is due on 3/22, there is midterm!
  
  Solutions to Chapter 9 problems.

• Due 3/15: 8.1, 8.7, 8.13, 8.15, 8.17, 8.19, 8.21, 9.8 (a,b)
  
  Notes: In 8.7 and 8.13(e) assume that the coins are fair.

  In 8.15: "Select a sample of 3 with replacement" means consider the following experiment: three times you randomly choose one of the 7 items in the shipment (with equal probabilities for each of the 7 items), test whether it's good or defective, and then put it back (so it's possible that the same item could be chosen more than once). The question asks what is the probability that the result of this experiment is that you choose a good item twice and a defective item once.

  In 8.13(e) you just need to graph the probability distribution (a graph bar). The wording "probability density distribution" does not make sense in discrete probability.
  (Thanks to Prof. Israel for these observations)
  
  Suggested problems: 8.3, 8.6, 8.11, 8.18, 8.20, 8.22
  
  Solutions to Chapter 8 problems.

• Due 3/8: 7.1, 7.3, 7.5, 7.7, 7.9, 7.11, 7.13
  
  Suggested problems: even problems
  
  Solutions to Chapter 7 problems.

• No homework is due 3/1, there is quiz! NO CALCULATORS OF ANY KIND WILL BE ALLOWED. Quiz is about Chapter 6. Do as many problems as possible, here is a list of suggested ones:
  
  6.1 (a,d,f,i), 6.2 (c,d,f,m,n,o), 6.3 (a,b), 6.4 (c,d,j,k,l,m), 6.6, 6.7, 6.8, 6.10, 6.11, 6.12
  
  Are you bored? Have nothing else to do on reading week? Try MIT's Integration Bee!!!!!! Please be aware that these problems are difficult (except the first one that it's a joke). Use these problems just for fun or to tease your instructor during office hours.
  
  Solutions to Chapter 6 problems.

• Due 2/15: 5.1, 5.3, 5.5, 5.7, 5.9, 5.11, 5.13
  
  Suggested problems: 5.2, 5.4, 5.6, 5.8, 5.10 (specially fun!), 5.12, 5.14 (for 5.14, we will learn how to compute this integral on 2/13)
  
  Solutions to Chapter 5 problems.

• No homework is due 2/8, there is midterm! The midterm includes what we have seen in Chapers 1-4. For Chapter 4, here are some...
  
  Suggested problems: 4.8, 4.9, 4.11, 4.15, 4.16, 4.20, 4.21, 4.24, 4.25, 4.27, 4.31
  
  Solutions to Chapter 4 problems.