2012W1 Math 102/Section 106
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Instructor information
Instructor:  YoungHeon Kim 

Email:  yhkim@math.ubc.ca 
Phone:  6048226324 
Office:  MATH 216 
Office hours:  M 1:30pm2:50pm, Th 2pm3:20pm, or by appointment (email me) 
Announcements
Coursewide
02:42, December 11, 2012  Exam format and focus The exam will consist of roughly 10 shortanswer questions and 6 longanswer questions. There will be an emphasis on material from the final third of the course (i.e. material not covered on either of the midterms) although material from all sections of the course will appear. 
16:27, December 10, 2012  Please note that instructors will have office hours leading up to the final exam but you should not count on getting responses via email or Piazza in the last 24 hours prior to the final exam. 
17:10, December 6, 2012  Final exam information

07:44, November 3, 2012  There will be no prelecture quiz due on Wednesday, November 7th. (This is because on Tuesday afternoon you are busy with the midterm.) 
01:10, October 31, 2012 
Midterm exam 2 information: Nov. 6  Midterm II, at 6 pm. Location: Same as for Midterm I. See Midterm 1 announcement below for details. Topics Midterm 2 will cover the material up to and including Chapter 11, as well as the Euler's method (Section 12.4). An emphasis will be on the new material not covered in the first midterm, namely the topics after Chapter 5. The following identities (from Section 10.6) will be included on the midterm/final paper, if they are required for any of the problems: sin(A + B) = sin(A)cos(B) + cos(A)sin(B) cos(A + B) = cos(A)cos(B) − sin(A)sin(B) law of cosines sin(2x) = 2sin(x)cos(x) cos(2x) = cos^{2}(x) − sin^{2}(x) IMPORTANT: Also, please note "if you write the midterm in pencil, you forfeit the right to request remarking." 
14:07, October 2, 2012  There will be no prelecture quiz due on Friday, October 5th. (This is because on Thursday afternoon you are busy with the midterm.) 
00:12, October 2, 2012  Answers to some common questions about the upcoming midterm are posted on the Midterm FAQ. 
23:59, October 1, 2012  Notes on "Fitting data" are now available at the bottom of the Course notes page. These will be useful prereading for Wednesday (Oct. 3) as well as Lab 3 and some questions on WedWW6. 
Section  Last names between and including...  Room 

101  AggHince  SWNG 221 
101  HongZhou  LSK 201 
102  All  HENN 201 
103  All  SWNG 122 
104  All  SWNG 222 
105  All  HENN 202 
106  AbeedNevares  SWNG 121 
106  NguyenZhou  SWNG 221 
23:59, October 1, 2012  Rooms for MIDTERM 1 Please look for your section in the table to the right. Both of sections 101 and 106 will be split across two rooms by last name. 
14:54, September 30, 2012  MIDTERM 1 INFORMATION
Midterm 1 will be held on Thursday, Oct 4 @ 6 pm. You will take the midterm in one of six rooms scattered about campus, organized according to your section number and last name. These will be posted in a subsequent announcement. The midterm will start at 6 pm sharp and finish at 7 pm sharp. No electronic devices are allowed at your desk (no cell phones, calculators etc) so if you are not comfortable leaving electronics at the front/back of the class, do not bring them with you. The midterm itself will consist of 4 parts. The first part will consist of shortanswer, true/false, multiple choice problems. The other three parts will consist of three OSHstyle problems. The material from which questions will be drawn includes all sections from Chapters 1 through 5 that are listed under the weekly Readings on the course calendar. 
12:23, September 25, 2012  Technical problems with WeBWork: some of you have experienced technical problems while completing the online exercises (internet connection, WeBWork syntax, roundoff, etc...). We are aware of the possibility of those issues, but we cannot deal with them one by one. That's exactly why only the best 90% of your WeBWork assignments will be considered towards your grade. Please do not email your instructor to ask to have points for problems for which you experienced technical issues. 
00:20, September 16, 2012  Please note the modifications to the announcement below concerning the second attempt at WedWW1 made at 21:00, September 4, 2012. Both the mark replacement policy (the best score of the two will be recorded) and due date (now Oct. 1) have changed. 
00:20, September 16, 2012  The UBC SciTeam will be holding a Meet Your Profs event, geared towards 1st year students. It is intended to connect students with some of the professors who will be teaching them in the first term so that they can see that their professors are more than just lecturers and examwriters! See the event poster for more information. 
00:20, September 16, 2012  An interesting event that is open to and might be of interest to all:

23:16, September 14, 2012  DO NOT SCHEDULE TRAVEL PLANS DURING THE PERIOD DEC. 519 INCLUSIVE UNTIL THE EXAM SCHEDULE IS RESOLVED. By UBC policy, conflicts arising from such plans will not be considered as grounds for a deferred final. The exam schedule will be announced in midOctober. 
22:42, September 14, 2012  Limits for are not discussed in detail in the Course notes.
Please refer to this 3page document for a more substantial coverage of limits of power functions, polynomials and rational functions. These notes were kindly written up by Dr. Giovanni Ghigliotti (Section 103). In general, supplemental notes of this kind will be posted in a section at the bottom of the Course notes page. 
00:10, September 12, 2012 
see Math 102/Lab 1: Graphing a simple function (see bottom to find OSH). This is to be handed in, stapled together with your Lab paper. The same deadline as the lab.
(This means, for your assignments, you have prelecture quizes, webwork, and labs. Labs also contain OSH.)

08:52, September 9, 2012  Your instructor (may have) told you that the labs will be due on Fridays. For logistical reasons, this has been changed to Mondays. See the lab page for deadline details. Note that for some labs you will have two weeks but only one week for others. 
22:26, September 6, 2012  In order to sign up for Piazza, you need an email address that ends in ubc.ca. If you haven't signed up for one already, here is relevant information on the Student & Alumni Email Service. 
20:53, September 4, 2012  There will be several assignments due in the first week of class. These include
Note: The first PLQ will be open on Wednesday Sept 5. Once you start the quiz, you will have 4 hours (240 minutes) to complete it. You must complete it before the end of the four hours and an hour prior to the start of your section's lecture on Friday, whichever comes first. Students in Section 105 (TTh) must complete it by Friday @ 7pm. 
21:00, September 4, 2012  As WedWW1 is mostly review material, it will help you to identify any weaknesses in your background coming into this course. Please look over it after submitting it and try to identify what you need to work on. To encourage you to fill in these gaps, we will allow you to retake WedWW1 again. If you decide not to retake it, your original mark will stand. If you decide to retake it, 
21:43, September 4, 2012  There will be no labs during the first week of class (Sept. 47). For the first lab, you should attend the section you registered for. Sections L1A, L1C, L1E, L1G, L1I, L1K, L1M meet the week of Sept 1014 and sections L1B, L1D, L1F, L1H, L1J, L1L, L1N meet the week of Sept 1721. After the first lab, which is due Sept. 21, you can attend any lab section or opt to work on the labs independently without attending any section. For students in lab sections that don't meet until the end of the week of Sept. 1721, you should start working on the labs on your own well before your lab section meets. Labs will be posted online (lab description on the course site and questions on WeBWork). There is plenty of thinking that can be done before you sit down at a computer in the lab to start plotting. 
Section specific
18:21, October 9, 2012  A midterm survey for the class is open at
http://www.surveymonkey.com/s/7ZKNFWK You need the password I sent to you by email. Please note that this is NOT an official UBC survey, but only for the instructor's information. 
22:01, September 2, 2012  Section specific announcements will be made here. 
Course Textbook
 Course notes These serve as the course textbook.
IMPORTANT! The lectures will cover only a portion of the course. It is YOUR responsibility to read the TEXTBOOK, understand concepts and examples in there, and do PRACTICE problems (including your assignments), REGULARLY.
 [OPTIONAL] Also, if you need more practice (IN ADDITION TO the assignments), you can try some old homeworks from previous years: see Math_102/Additional problems to work on
Assignments
We have four types of assignments/quizzes.
Read this instruction Math 102/Assignments VERY CAREFULLY!
 Prelecture Quizzes: See WeBWork. You have to find item " MATH_102_106_2012W1" in the list. They are due an hour before each class starts: first due Friday Sept 7 at 8am.
 Wednesday WeBWork: WeBWork. You have to find item " MATH_102_106_2012W1" in the list. Due each Wednesday at 7am.
 Labs  lab descriptions and due dates. Lap time and locations
 IMPORTANT: Labs now contain Old School Homework (OSH) to be handed in. This replaces previous Endofweek HW.
Additional Resources to get help
 Check out the MLC (Math Learning Center), where you can get free tutoring.
 Piazza  the online discussion forum for the course:
Still have questions to ask? Try the Piazza webpage for the course, where you can post and answer questions about the course. This webpage is for students in all sections of Math 102 this semester. Try answering questions your peers have asked  seeing if you can explain a concept or calculation is a great way to test your own understanding!
Important dates
Coursewide
 Sept. 18  Last day for Wfree withdrawal from the course.
 Oct. 4  Midterm I, 6 pm
 Oct. 8  Thanksgiving Day. University closed.
 Oct. 12  Last day for withdrawal from the course with a W.
 Nov. 6  Midterm II, 6 pm
 Nov. 12  Holiday in lieu of Remembrance Day. University closed.
 Dec. 14  Final exam, 3:30pm
Section specific
Class progress calendar
Coursewide
Math 102/Course calendar for daybyday topics for all sections, especially for prelecture quizzes.
Section 106 specific lecture notes and progress calendar
See below. WARNING: It is really a WRONG idea to think that reading the class notes can replace the lively learning experience acquired by attending and actively participating in the classes. The notes should be used as a complementary material to your own notes. (Your notes could be much more neat and clear for you than my notes.) The notes can be useful for some people who are slow in writing, to pay more attention to the lecture, not to miss what the instructor explains.
I can promise you that you will get low grade or fail in the end, UNLESS you attend most (if not all) of the classes.
IMPORTANT [A big concern about giving the notes, is that this may reduce the number of students' attendance in class. So, as long as the class attendance is close to 90 per cent, I have no problem of continuing to make the class notes available. If the class attendance gets reduced, then I may blame myself for providing the notes, and will stop providing the notes.]
11:04, November 30, 2012  Class: Statistics (Sampling distribution and sampling error). Class notes for Lecture 36. See also Populations, samples and sampling distributions. 
21:31, November 28, 2012  Class: Statistics. Class notes for Lecture 35. See also Populations, samples and sampling distributions.
Plan

11:21, November 26, 2012  Class: 14.6 (Bernoullli trials) and 14.8 (Random walker). Class notes for Lecture 34.
(These notes are a bit sketchy and will be helpful mostly for those who attended the class.) In the last page of the notes there is an exercise (not covered in the class) for C(n,k) which is similar to WW12 #8. We have covered 7.6 and 7.8 (Random walk) or WedWW problems up to #17. Plan:
Reading for PLQ: Populations, samples and sampling distributions.

19:22, November 23, 2012  Class: 14.6. Class notes for Lecture 33.
Plan:
Reading for PLQ: Populations, samples and sampling distributions.

19:56, November 22, 2012  Class: 14.15. Class notes for Lecture 32.
In the next lecture, we will do 7.6 (Bernoulli trials and binomial distribution) in Ch. 14. Reading for PLQ: 14.16 and 14.8, especially 14. 8. (So, in Ch. 14, Sections 7.1 7.6 and 7.8. We skip 7.7) 
12:00, November 20, 2012  Class: 13.34 (simple modelling) and Ch. 14 (Sec 7.1 5) Probability introduction. Class notes for Lecture 31.
In the next lecture, we will do 7.3.4, 7.3.5, 7.5, 7.6.1 in Ch. 14. Reading for PLQ: 14.16, especially 14. 6. (So, in Ch. 14, Sections 7.1 7.6. ) 
14:36, November 16, 2012  Class: 13.5.2.(Slope fields) 13.7 (logistic differential equations). Class notes for Lecture 30.
In the next lecture, we will do simple modelling examples (13.313.4) and will start Ch. 14, discussion about probability. Reading for PLQ: IN Ch. 14 ( Discrete probability (labeled Chapter 7 but a different from previous Chapter 7). 7.15. (Especially, 7.4, 7.5, 7.3.5, 7.3.4) 
11:06, November 14, 2012  Class: 13.5.1, 13.6 and 13.5.2. Class notes for Lecture 29.
Stability of steady states. Slope fields. You should be able to determine steady states, stability (whether a steady state is stable or unstable), asymptotic behaviour (namely, what happens to the solution for a large time, i.e. ), using the graph of or a corresponding slope field. Also, you have to be able to draw a slope field to a given differential equation and use it to sketch solution curves with various initial values y(0). Next lecture: we will start with the last example of today's class, and will discuss logistic equations (13.7) and simple mathematical modelling (13.3 and 13.4). 
11:19, November 9, 2012  Class: 13.14 (explicit solutions to some simple D.E.) and 13.57 (Qualitative methods: use graph of .
In the next lecture, we continue qualitative methods: 13.57. Reading for PLQ: 13.57. 
18:53, November 7, 2012  Class: Newton's method: examples. (12.3). Class notes for Lecture 27.
This note has some additional information that may give a clearer idea about Newton's method. In the next lecture, we will start Ch. 13 and will cover 13.16. Reading for PLQ: 13.16. 
18:53, November 7, 2012  Class: Linear approximation (12.2) and Newton's method (12.3.12). Class notes for Lecture 26. 
11:09, November 2, 2012  Class: 11.1 Derivatives of inverse trig. function. Escape response 11.2. Class notes for Lecture 25.
The rest of the escape response example, about rate of change of viewing angle, is given in the class notes. In the next lecture, we will start approximation methods Ch. 12. Check out the MLC (Math Learning Center), where you can get free tutoring. Reading for PLQ: 12. 12 and 12.3.1 
15:44, October 31, 2012  Class: 10.8 (Two examples) and 11.0 (arcsine). Class notes for Lecture 24.
You have to read about arccosine and arctangent in 11.0 A summary of important properties as well as a few additional exercises for you are given in the end of class notes. In the next lecture, we will consider derivatives arcsine, arccosine, and arctangent and applications. (11.1 11.2) Note that we are following (or trying to follow) the course calendar: 102 Course Calendar Also, check out the MLC (Math Learning Center), where you can get free tutoring. Reading for PLQ: 11.1 and 11.2 
13:41, October 29, 2012  Class: 10.69 (10.6 review). Class notes for Lecture 23.
There are four additional exercises for you in the class notes. It is important that you do (or try hard to do) the exercises, especially the two ones involving a moving up balloon (these belong to 10.8), before coming to the next class. In the next lecture, I will explain the solutions to these balloon problems, and we will start Inverse trig functions: Definition and properties (11.0), derivatives (11.1). Note that we are following (or trying to follow) the course calendar: 102 Course Calendar Also, check out the MLC (Math Learning Center), where you can get free tutoring. Do not forget the WedWW8, due 10/31/2012 at 07:00am PDT. Reading for PLQ: 11.0 and 11.1. By the way, there was a small typo (in the remark in the last page when we change sine into cosine), in the lecture notes for Lecture 22. I just uploaded the corrected version. 
21:52, October 26, 2012  Class: 10.15 (10.13 review). Class notes for Lecture 22.
In the next lecture, we will cover Trigonometric functions: Derivatives (10.7), related rates (10.8), a second order DE (10.9). Note that we are following the course calendar: 102 Course Calendar Also, check out the MLC (Math Learning Center), where you can get free tutoring. Do not forget Lab 5 due on Monday, in class. Reading for PLQ: 10.69. 
15:12, October 24, 2012  Class: 9.1213 and 12.4 (Euler's method). Class notes for Lecture 21.
The (handwritten) class notes contain two exercises for you to practice Euler's method. Please do them yourself, before looking at the solution. Next class will cover "Phase, amplitude and frequency (10.4), rhythmic processes (10.5)". Note that we are following the course calendar: 102 Course Calendar Also, check out the MLC (Math Learning Center), where you can get free tutoring. Reading for PLQ: 10.110.5 (sections 10.110.3 are review) 
11:02, October 22, 2012  Class: Exponential growth / decay, doubling time / half life (9.411). Class notes for Lecture 20. The (handwritten) class notes contain two additional examples for exponential growth/decay, not covered in the class: one for population of bacteria, the other for antibiotic treatment. Please do them yourself, before looking at the solution. Next time: we will do 9.1213 AND 12.4 (Euler's method)
Reading for PLQ: 9.1213. 
00:01, October 21, 2012  Class: Derivatives of a^{x} and lnx (8.1011 ) , AND simple differential equations (9.13). Class notes for Lecture 19.
Reading for PLQ: 9.49.11 
14:30, October 17, 2012  Class: 8.59 Derivative of exponential functions, properties of e^{x} and lnx, doubling time.
Class notes for Lecture 18. This notes contain an optional discussion of Taylor's expansion (Taylor's series): more details can be found in most standard calculus textbooks. In the next lecture (8.1011), we will briefly discuss derivatives of a^{x} and lnx, and then will start Ch 9. Next lecture: 8.1011, 9.13. Reading for PLQ: 9.19.3 
15:50, October 15, 2012  Class: 7.4 Implicit differentiation. Examples. Class notes for Lecture 17.
SelfReading: Sec. 8.14. We are behind the schedule and we need to accelerate. Next lecture: 8.59. Reading for PLQ: 8.68.11 
12:11, October 12, 2012  Class: 7.3  7.4 Applications of chain rule (two geometric examples) AND introduction to implicit differentiation. Class notes for Lecture 16.
We will see examples of implicit differentiation in the next lecture. Reading for PLQ: 8.15 
12:57, October 10, 2012  Class: finished optimal foraging (6.5) and covered Section 7.1, 7.2. Class notes for Lecture 15.
In the example of the spherical cell in the class, I forgot to put the unit in the final answer: this is important. See the notes. There is one extra problem for chain rule. I will not cover this in the class, so please practice yourself: the solution is given in the next page of the problem. Also, in the last page, there is an example of conical water tank, which we will cover on Friday, when we cover Section 7.3. We hopefully will cover part of 7.4 as well on Friday. Reading for PLQ: 7.3, 7.4 
20:36, October 5, 2012  Class: the cylinder example and 6.5 (optimal foraging). Math 102/Course notes/Optimal foraging
Class notes for Lecture 14. Please finish the optimal foraging example yourself, without looking at the textbook and class notes. We will finish the discussion of this example in the next class. Reading for PLQ: 7.1, 7.2 and 7.3 
20:36, October 5, 2012  Class: Fitting data  least squares AND 6.2. Class notes for Lecture 13. Please finish the cylinder example yourself, without looking at the textbook and class notes.
Reading for PLQ. 6.2, 6.3, 6.4 and 6.5 
10:54, October 1, 2012  Class 6.1. Class notes for Lecture 12. Please try to do the second example yourself, without looking at the textbook and class notes. We have already seen a lot of it in the class, or you read the textbook. But, still it will be helpful if you close those notes, and try to do the problem YOURSELF. After getting stuck you can look for help. This way is much more effective than just to look at the solutions.
Reading for PLQ. 6.2. 6.3 and 6.4 
10:44, September 28, 2012  Class 5.7. Class notes for Lecture 11. Please note that the notes has the solution to the example we did in the end of class. As always, you have to do the example yourself, before looking at the solution.
Reading for PLQ: 6.1 
11:40, September 26, 2012  Class:5.45.6. . Class notes for Lecture 10:It has a couple of exercises in the end for your practice. Please do these exercises by yourself NOT looking at the solution: e.g. copy the question and work yourself, and use the solution ONLY TO check your answer.
Reading for PLQ: 5.7 
17:54, September 24, 2012  Class:5.15.4 (except the second derivative test). Class notes for Lecture 9:It has an exercise about inflection points and sketching the graph of a function, which you have to do before coming to the next class. It also has (optional) supplementary material for types of critical points in the case the function is not differentiable.
Reading for PLQ: 5.4, 5.5, and 5.6 
15:46, September 21, 2012  Class: An example of ball motion AND Section 4.8, AND an example for tangent lines in geometric problems. Class notes for Lecture 8: (A typo corrected) The last example in the notes was not completed in the class, but this class notes has a detailed solution for it. However, PLEASE try to do the example YOURSELF, before consulting the solution. You CANNOT learn mathematics by just looking at solutions. Of course, sometimes it is necessary to look at solutions. BUT, before that, you have to try hard YOURSELF. Hard working on an example by yourself is MUCH better than looking at hundreds of examples and memorizing them. The latter method requires more and more examples to look at since there are infinitely many problems, and for a new situation you have not seen already, it does not help. But, a deep understanding of a good example, acquired by hard working, will enable you to handle infinitely many new situations.
Reading for prelecture quiz: The shape of a function (5.1), critical points (5.2), inflection points (5.3) 
11:06, September 19, 2012  Class: An example about tangent lines AND Section 4.44.5. Class notes for Lecture 7: Note that this notes contains in the last page an exercise for you to do before coming to the next class! Reading for prelecture quiz: 4.6 and 4.8 
11:14, September 17, 2012  Class: Limit of rational functions at infinity (examples) AND Sections 4.14.3. Class notes for Lecture 6.: Note that this notes contains in the last page an exercise for you to do before coming to the next class!
A supplementary notes for limit: Limits at infinity  limits of power functions, polynomials and rational functions. Written by Dr. Giovanni Ghigliotti. Reading for prelecture quiz (PLQ): 4.4 and 4.5 
14:09, September 14, 2012  Class:3.6. Limit. Class notes for Lecture 5.
Reading for prelecture quiz (PLQ): 4.1, 4.2 and 4.3. 
11:40, September 12, 2012  Class:3.43.5. Derivative, tangent lines, sketch of the graph of the derivative of a function using the graph of the original function. Class notes for Lecture 4. Reading for prelecture quiz (PLQ): 3.6 
12:17, September 10, 2012  Class: 3.13.3. Slope, secant lines, average rate of change, average velocity, tangent lines, instantaneous rate of change, instantaneous velocity. Note that average rate of change approximates instantaneous rate of change, when the interval size is small: the smaller the interval size, the better the approximation. Class notes (handwritten) for Lecture 3.
Reading for prelecture quiz: Sections 3.4 and 3.5 
21:36, September 7, 2012  Reading 2.10. Class: approximations for polynomials and rational functions. sketch of graph of some simple polynomials. Hill functions.
Reading for prelecture quiz: Sections 3.1, 3.2 and 3.3. Class notes (handwritten) for Lectures 1 and 2. 
11:17, September 5, 2012  Reading: Ch 1. Ch. 2.1 2.8. Class: Power functions (2.4), even/odd functions (2.5) and polynomials (2.7). On Friday Sept. 7, we will do an example similar to 2.7.2 and discuss Hill functions (2.10). 
00:37, September 3, 2012  The topics covered in the class will be posted here. 
Course policies
 REDIRECT Math 102/Course policies
Sectionspecific policies
Remarking requests
If you feel that a returned homework assignment or midterm is incorrectly marked, you can appeal that mark by writing a note that details your concern, attaching it to the assignment, and resubmitting it to the instructor with one week of the return of the marked assignment. The note should include a summary of what you feel was incorrectly evaluated with some justification of the claim.
Class etiquette
Cell phones should be turned off during class. Use of laptops in class is acceptable when computer software (e.g. Excel) is being discussed but not otherwise unless you use it for taking notes.