Announcements for Sections 103 and 104

Contacting me

• My name: Robert Israel
• My office: Math Annex 1206
• phone (604) 822-3629
• email israel@math.ubc.ca

  When sending me e-mail, be sure to include "Math 102" in the Subject line, so I won't mistake it for spam.

• home page http://www.math.ubc.ca/~israel
• Office hours: Monday 2:00-3:00, Tuesday and Friday 12:00-1:00.
• If those times are not convenient, please make an appointment.

Prerequisites

• One of the following:
  • (a) a grade of 80% or higher in Principles of Mathematics 12 (or equivalent)
  • (b) a score of 73% or higher in the BC Math 12 provincial exam
  • (c) a score of 5 or higher in IB Math HL or SL
  • (d) a qualifying score in the UBC Mathematics Basic Skills Test.
  • (e) a score of 4 or 5 in AP Calculus AB
• In addition, Calculus 12 or equivalent is strongly recommended.
• If you do not meet the prerequisites, you should take Math 110 instead of Math 102. If you do meet the prerequisites but don't have high-school calculus, we recommend that you take Math 180 or 184 instead of Math 102. You can still take Math 103 after these courses.
• For more information on the various calculus courses, see the Math department's web page First Year Calculus Choices

Registration issues

• At last report, most lecture sections of Math 102 were full.
• If you are not registered in a section, please do not attend it.
• Please do not ask me to "fit you in": I can't.
• It is possible that some seats may open up in the next week or two if some students drop out. These will be snapped up by whoever is lucky enough to log in to Student Services at the right time.
• There is nobody who must take Math 102: Math 100 and Math 104 are accepted as equivalent to Math 102 as prerequisites by all faculties.
• If you need to switch from one section to another, the only way this can be done (with the sections full as they are) is to find somebody in the other section who is willing to switch with you. Then come with that person to a Math department registration session.
• You must be registered in a lab section (L1A to L1N) as well as a lecture section. It doesn't matter which lab section you are in. If you can't find an open one that fits your schedule, register in any one, even if that creates a conflict with something else. Come to a Math department registration session if you need help.

Text

Labs

• Lab sections L1A, L1C, L1E, L1G, L1I, L1K and L1M meet the week of Sept. 13 to 17 (and every two weeks thereafter). Lab sections L1B, L1D, L1F, L1H, L1J, L1L and L1N are the week of Sept. 20 to 24, and every two weeks thereafter.
• During the first two weeks of labs, please try to come during your own lab time, to allow us to help you set up your computer account properly. After that, you can work on the labs during any of the scheduled Math 102 lab hours, (regardless of your specific registered lab hour), subject to availability of space, or at home via the Web.
• Completed labs should be handed in to me, by 3:00 pm on the Monday following the end of each two-week lab period, except for Lab 2 (due on Tuesday Oct 12 because Monday is a holiday) Lab 6 which is due on the last day of classes. I will have a drop-box outside my door (Math Annex 1206) for this purpose. Thus
  • Lab 1 is due on Monday, Sept 27
  • Lab 2 is due on Tuesday, Oct. 12
  • Lab 3 is due on Monday, Oct. 25
  • Lab 4 is due on Monday, Nov. 8
  • Lab 5 is due on Monday, Nov. 22
  • Lab 6 is due on Friday, Dec. 3
• Make sure to include the number of the lab (1 to 6), the problem set you are doing, your full name and student number, and "Math 102 Section ..." (103 or 104), on the paper you hand in.
• Here is the main lab web page, containing more information.
• Note: In order to save your work in the Mathsheet, you must first log in to Mathsheet (choose "Login" from the file menu). The user name and password are the same ones you use to log in to the terminals in the lab.

Past Final Exams

• December 2006
• December 2008
• December 2009
• The Math Club will be selling packages of past exams with solutions in room Math Annex 1119, Monday to Friday 11:00 am to 3:00 pm starting Monday, November 29. The price is $5 for members, $10 for non-members.

Sample Midterms with solutions

• One of mine from 2002.
• One of Dr. Keshet's from 2000.
• My second midterm from 2002.
• Dr. Keshet's second midterm from 2000.

Homework Assignments

Print (clearly) your full name, student number and "Math 102 Section ..." (103 or 104) at the top right of the first page. If you write your surname before your given name, underline the surname.

Show your work.

Staple your pages together. The grader may decide to deduct a mark if you don't do this. I never bring a stapler to class, but there are some available nearby: try the Math Club, the Math Department office or my office.

Solutions will be made available shortly after the due dates for the last questions from each chapter.

Depending on your browser's settings, you may be looking at a cached copy of this web page rather than the latest version. That may mean that you don't see an assignment or solution file as available when it has recently been made available. To make sure you have the latest version, press the Reload button.

• Assignment 1

  (extended to Wednesday, Sept. 15)

  1.2(b) and (d), 1.4, 1.6, 1.8, 1.10, 1.14, 1.16

• Assignment 2

  (due Monday, Sept. 20)

  2.6, 2.8, 2.10(b) and (d), 2.11, 2.13, 2.14, 2.15, 2.16, 2.18, 2.22

• Assignment 3

  (due Monday, Sept. 27)

  3.1(c), 3.2(b), 3.4, 3.8, 3.10, 3.13, 3.14, 3.16, 3.19, 3.20

• Assignment 4

  (due Monday, Oct. 4)

  4.2, 4.4, 4.6, 4.9, 4.10, 4.12, 4.13, 4.15, 4.20, 4.21

• Assignment 5

  (due Wednesday, Oct. 13)

  5.3, 5.5, 5.6, 5.7, 5.8, 5.9, 5.11, 5.12, 5.13, 5.14, 5.16

  E.1: Find the derivatives of the following functions:

  (a) f(x) = 3 x³ - 5 x - 7

  (b) g(x) = (3x-2)/(1-5x)

  (c) h(x) = (1+x)(2+x)(3+x)

  Hint: use the Product Rule twice

  E.2: Use the definition of the derivative to find f '(2) where f(x) = (x - 1)² .

• Assignment 6

  (due Monday, Oct. 18)

  6.1, 6.2, 6.3, 6.5, 6.9, 6.12, 6.14, 6.15, 6.16, 6.17

  Note: for 6.15, the arrangement of the cone and the sphere looks like this, with the sphere just touching the curved side of the cone and the top of the cone:

  

• Assignment 7

  (due Monday, Oct. 25)

  7.1, 7.4, 7.8, 7.10, 7.11, 7.15, 7.17, 7.20, 7.23, 7.25, 7.28, 7.30

• Assignment 8

  (due Monday, Nov. 1)

  8.4, 8.7(b,d), 8.8(a,e,h), 8.9 (b,c,f), 8.10, 8.18

• Assignment 9

  (due Wednesday, Nov. 10)

  9.6(c), 9.10, 9.12, 9.15, 9.18

  10.2(b,d), 10.5(b,d)

• Assignment 10

  (due Monday, Nov. 15)
  10.7, 10.8, 10.10(b), 10.12, 10.14, 10.15, 10.18, 10.20, 10.22(a), 10.23

• Assignment 11

  (due Monday, Nov. 22)
  11.2, 11.3(b,d,f), 11.4, 11.5

  12.2(b), 12.4(a), 12.6(c), 12.8, 12.11(b)

• Assignment 12

  (due Monday, Nov. 29)
  This will be the last homework to be handed in

  12.14, 12.16, 12.17, 12.19(c)

  13.2(a, c), 13.3, 13.6, 13.9, 13.13(b, d, f), , 13.14(b,d,f), 13.22

Solutions:

• First midterm
• Second midterm
• Chapter 1: Review of straight lines
• Chapter 2: Review of Simple Functions
• Chapter 3: Average velocity, average rates of change, and secant lines
• Chapter 4: The Derivative
• Extra problems in Assignment 5
• Chapter 5: What the derivative tells us about a function
• Chapter 6: Optimization
• Chapter 7: Chain rule, related rates, implicit differentiation.
• Chapter 8: Exponential functions
• Chapter 9: Exponential growth and decay: differential equations
• Chapter 10: Trigonometric functions
• Chapter 11: Inverse trigonometric functions
• Chapter 12: Approximation methods
• Chapter 13: More differential equations

Formulas on Exam

Drop-in Tutorials

• Staffed by TA's whom you can ask for help with anything related to Math 102.
• In Auditorium Annex A, rooms 143, 144, 145 and 146
• Monday to Thursday 9 am to 4 pm
• Friday 9 am to 3 pm

Important dates

• First midterm: Thursday October 7, 6:30 to 7:30 pm

  It covers chapters 1 to 4

  Locations: Section 103 in MCML 166 (this is a change from what was announced earlier) This is in the MacMillan Building, located on the west side of Main Mall, just south of the Barn Coffee Shop.

  Section 104 in CHBE 101. This is in the Chemical and Biological Engineering Building, located at 2360 East Mall, south of the Health Sciences Parkade.

• Second midterm: Tuesday November 9, 6:00 to 7:00 pm

  It covers chapters 1 to 8 (but with emphasis on chapters 5 to 8)

  Locations: Section 103 in HENN 200. This is in the Hennings building, 6224 Agricultural Road.

  Section 104 in LSK 200. This is in the Leonard S Klinck building, 6356 Agricultural Road.

• Final exam: Wednesday December 15, 8:30 to 11:00 am

  Location: OSBO A. This is in the Robert F. Osborne Centre, 6108 Thunderbird Boulevard.

  Make sure you know which section you are in, as there will be five sections of Math 102 writing in the same place. You should have your AMS card with you, as these will be checked.

Grading and other policies

• The following types of calculator will be allowed in midterms or the final exam:
  • Texas Instruments TI 30X (including solar and MultiView versions)
  • Casio FX-260
  • Sharp EL-510RB
• Your grade will be computed as follows:

  Final exam	50%
  Midterms	30%
  Homework	10%
  Labs	10%

• In addition, you need to pass the final exam to pass the course.
• All marks are subject to scaling (up or down).
• Homework will generally be due every Monday. Solutions will become available soon after the homework is due. Late homework will not be accepted.
• If you are unable to attend class on the day homework is due (with a good excuse) and have no other way to get it to me on time, you can fax or email the homework to me. The Math Dept. fax number is 604-822-6074 (be sure to write "Attention: R. Israel" on the cover page).
• If there are n homework assignments, your best n-1 will be counted.
• Homework and labs should be handed in to me, either in class or to my drop box (outside Math Annex 1206). As long as they are in my hand or in the box by 3:00 on the due date, they are on time.
• Be sure to read the detailed instructions for each lab and answer all the questions for the problem corresponding to your student number (not just the example!).
• There will be no make-up tests, but if you miss a midterm for a good reason (e.g. illness, with a doctor's note), I will use the final exam (and the second midterm, if it's the first midterm you miss) to make up for it.
• Please remember to turn your cell phone off during class (or have it on vibrate if you must, but don't talk on it).
• Some people these days like to use a cell phone instead of a wrist watch to tell the time. This is not allowed on exams.
• Please do ask questions in class. Don't be shy: if there's something you don't understand, there are probably lots of other students who don't understand it either, but I won't know that you need more explanation unless you ask me about it.

Miscellaneous

• Another on-line Calculus text:Calculus by Gilbert Strang
• Worthwhile reading:
•    The Most Common Errors in Undergraduate Mathematics by Eric Schechter, Vanderbilt University
•     Why Do We Study Calculus? by Eric Schechter, Vanderbilt University
•    In praise of lectures by Tom Körner, Cambridge University
•    Understanding Mathematics a study guide by Peter Alfeld, University of Utah
• AMS Tutoring
• UBC Math Club
• "The Quotient Rule", sung by Benjamin Israel
• "Calculus": song by Matthew Matics
• Movie clip
• Proof of a limit
• A Tank Problem and animation
• Zebra Danio: a sequel to Section 11.2.1