math102

(Term 1, 2011/2012: September, 2011 -- December, 2011)

MATH 102:101 Differential Calculus with applications to Life Sciences. UBC course page here

Course Main Page (This is the main source of important information.)

These notes constitute the textbook for the class. The exams and homework assignments will be based on these notes. We will not cover everything in the notes in class, so you should definitely read the notes and make sure you understand each point.

A very nice reference: Leah Keshet's (scanned handwritten) lecture notes (1999--2000; html files)

Class: Mon, Wed Fri 10:00--11:00 at Math Annex 1100
Office hours (subject to change): TBA or by appointment. Please email at yhkim "at" math "dot" ubc 'dot' ca

First class: Thursday, Sept. 7. Last class: Friday, Dec. 2.

Announcements

* Lab 6 is due on Monday, Nov. 28.
* Assignment 9 is due on Friday Nov. 25.

* Lab 5 is due on Nov 21 (Mon).

* Assignment 8 is due in Class on Friday, Nov 18. Do all the problems. Note that the material for Exercise 6, 7, 8 and 9 will be covered in Monday, Nov 14 (with some more examaples in Wed, Nov 16).

* Midterm 2: Tuesday, November 8th, Time: 6-7PM, Location for our section is BIOL 2000

Typo in solutions to HW7, Q2. Make sure to download the latest version (after Friday, Nov. 4, 11pm).

Typo in solutions to HW6, Q5a: the correct solution is 3/2 and not 3/4. Corrected solutions have been uploaded.

Typo in HW5, Q2: in (b) it should read "...determines a line L_C : 2x + y = C" and further down "Here, C₀ = 2x₀ + y₀ with...". A corrected version of HW5 has been uploaded.

Past midterms available for practice.

* Assignment 7 is due in Class on Friday, Nov 4. Do all problems.

* Assignment 6 is due in Class on Friday, Oct 28. Do all problems.

* Lab 3 is due in Class on Monday, Oct 24.

* Assignment 5 Due in Class on Friday, Oct 21. Do all problems.

* Final Exam: Saturday, DEC 10, 12:00 noon -- 2:30 pm. Location: TBA.

* Assignment 4 Due In Class on Friday, Oct 14: Do all problmes except 7 (b) & (c): you should do 7 (a).

* Lab 2 is due In Class on Friday, Oct. 14.

* Midterm-1 location for our section: BIOL 2000

* Review session (for midterm I): It will be on Monday 5pm, October 3, at MATH 100. (Note this building is NOT Math Annex. MATH is a twin building to Math Annex.)

* The midterm 1 covers up to and including Ch. 4.
The practice midterms (the previous midterms) are now posted in
http://www.ugrad.math.ubc.ca/coursedoc/math102/2011/announcements.html
Some of the problems are beyond the scope of our midterm I. So, please do the following problems:
2000: 1, 2, 3 (a), (c), 4 (a), (c)
2002: 1, 2, 5 the first part
2008: 1, 2(a), 3
2009: 1, 2 (c), 3, 4.
(Don't worry too much about local maximum, local minimum or inflection points because they are topic of Ch. 5. so does not belong to Midterm 1.)

* Please participate in the online survey. The link is http://www.surveymonkey.com/s/9SBBQ2Y You need the password that I have sent to you in a separate email. This survey will be closed on Sunday October 2. Your participation is important for us.

Assignment 3 Due: In Class on Friday, Sept 30.
Solution
Do all the problems EXCEPT Exercise 3. For Exercise 6, a continuous function means a function whose graph is a continuous curve, i.e. there is no jump in the graph. In Exercise 7, for the definition of cosine function and its values, you may want to read the first 10 lines in here.

* Lab 1 is due IN CLASS on Friday, Sept 30.

Assignment 2 Due: IN CLASS on Friday, Sept 23.
Solution

Assignment 1 Q1-6, optional Q7. Due: IN CLASS on Friday, Sept 16.
Solution
Solution to the Problems Set for Ch.1 is also posted in the course main page: see here.

The Math Learning Centre (formerly the Math Tutorial Centre) is now open in LSK 100, 9AM-7PM Monday-Thursday and 9AM-4PM on Friday.
The Math Learning Centre is: - a comfortable study space for any student working on mathematics, - a place where students can receive support from our team of graduate students, - really nice and welcoming, with natural light and plenty of room.
The Math Learning Centre is not:
- a place where students go to get answers for their homework.

Exams:

Midterm 1: Thursday, October 6th, 6.30pm-7.30pm.
Midterm 2: Tuesday, November 8th, 6.00pm-7.00pm.
If you have a valid excuse that you will not be able to attend these midterm exams at these times and dates, you must let your instructor know on or before September 16th, 2011.
The date of the ﬁnal exam is yet to be declared. Do not make any travel plans until the exam schedule
has been announced.
There are no make-up midterms but if you miss a midterm for a legitimate reason (e.g. illness, with a doctor's note), allowances will be made.
For the midterms and final exam at least these formulas are provided.
Calculators are not permitted on the midterms and the final exam.
Students will be required to bring Photo ID to all tests and exams.

Homework Assignments: Careful work on the assignments is the best way to prepare for the midterms and the final exam.

Late homework is not accepted.
Unreadable homework will not be marked.
Work must be shown.
Missed homework will count as a zero mark.
There is a total of nine assignments but only the best eight will count towards your final grade.
It is probable that only a subset of those problems turned in would be graded, and you will not be informed (in advance) which ones these are. For example, if your homework does not contain any of the problems to be graded (which will be known only after the due date), you will get zero mark. So, it would be better for you to do all the problems to be handed in.

Labs

You must be registered in a lab section as well as the lecture section. If you have trouble getting into a lab section, come to the Math Department registration sessions.
Please go to the first meeting of your section to obtain login information for the labs.
You are responsible for completing six computer labs (see the lab page on the main course webpage for more information. You can do the labs at home or in Leonard S. Klinck (LSK), Room 121 at any time.
Labs should be handed in to me in class on the due date. Be sure to put your full name, student number, section number (the lecture section number, 108 not the lab section number) and the number of the problem that you did, at the top right of the page you hand in.

Grading

Your grade for the course will be computed roughly as follows:
Homework: 10%
Labs: 10%
Midterms: 30% (15% + 15%)
Final Exam: 50%

Important Notes:

Passing mark is 50%. In addition at least 40% are needed on the final exam.
All marks are subject to scaling. This ensures fairness of the final grades across the sections.
IT IS ESPECIALLY IMPORTANT that students know that IF THEY DO NOT FULFILL THE COURSE REQUIREMENTS DURING THE TERM (including not writing the midterm test(s) even if you agree to transfer the weight to the final) AND THEN MISS THE FINAL EXAMINATION, THEY MAY BE DEEMED INELIGIBLE FOR A DEFERRED FINAL.

Schedule / Plan / Progress / Summary
Rough Plan:
Review of straight lines (Week 1)
Review of Simple Functions (Week 1,2)
Average velocity, Secant lines, derivatives (Week 2,3)
The derivative (Week 3,4)
What the derivative tells us about a function (Week 4,5)
Optimization (Week 5,6)
Chain Rule, Related Rates, Implicit Differentiation (Week 6,7)
Exponential functions and logarithms (Week 7,8)
Exponential Growth and Decay: Differential Equations (Week 8,9)
Trigonometric functions (Week 9,10)
Inverse trigonometric functions (Week 10,11)
Approximation Methods (Week 11,12)
More differential equations, Review (Week 12, 13)

Week	Date	Suggested reading (Section numbers refer to the Course notes)	suggested practice exercises (These are NOT to be handed in) (The numbers refer to Problem sets and solutions in the Course Main Page )
1
	Sept. 7 (first class)	Sections 1.1, 1.2, 1.3, 1.5.	Problems 1.1, 1.2, 1.3, 1.5, 1.12
	Sept 9 (Fri)	Sections 1.4, 2.1 --2.5, 2.7.1	Problems 1.4, 2.1, 2.2, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 2.10, 2.11, 2.14, 2.18, 2.19
2	Sept 12 (Mon)	Sections 2.7, 2.6, 2.8	Problems 2.3, 2.12, 2.13, 2.15, 2.16, 2.17,
	Sept. 14 (Wed)	Sections 2.6 (Computing and graphing inverse functions) 3.1 (Velocity, motivation, Newton;s second law of motion)	Make sure you do the suggested exercises for Ch. 2, listed for the previous classes.
	Sept. 16 (Fri). HW 1 due	Sections 3.2, 3.3, 3.4,	Problems. 3.1, 3.3, 3.4, 3.5, 3.6, 3.10, 3.11, 3.12, 3.13,
3	Sept 19 (Mon)	Sections 3.5, 3.6	Problems 3.7, 3.8, 3.15, 3.16, 3.18, 3.19, 3.20,
	Sept 21 (Wed)	Section 3.6	Make sure you do the suggested exercises for Ch. 3, listed for the previous classes. Make sure you understant all the examples in Secton 3.6 and those in the class.
	Sept 23 (Fri) HW 2 due (Staple your HW)	Sections 4.1, 4.2, 4.3.1, 4.3.2, 4.8 For linear approximation, you can read also Section 12.2.	Problems 4.3, 4.4, 4.7, 4.14, 4.15, 4.16, 4.17, 4.20
4	Sept 26 (Mon)	Sections 4.3.3, 4.4, 4.5	Please make sure you did the previously assigned problems in Ch. 4. 4.19, 4.21.
	Sept 27 (Wed)	Sections 4.5, 4.6	4.1, 4.2, 4.6, 4.8, 4.10, 4.11, 4.12, 4.13 (assume f(0)=0), 4.18 (assume f(0)=0),
	Sept 30 (Fri) HW 3 due Lab 1 due	Sections 5.3, 5.4, 5.5	5.17 (except (g)) 5.1 (a) (b), 5.4, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11, 5.12, 5.13 (a),
5	Oct 3 (Mon)	Sections 5.4, 5.1, 5.2, 5.5, 5.6	Please make sure you did the previously assigned problems in Ch. 5. 5.1(c). 5.5, 5.13 (b), 5.15,
	Oct 5 (Wed)	Section 5.6
	Oct 6 (Thur) 6:30--7:30pm. Midterm I at BIOL 2000
	Oct 7 (Fri)	Section 5.7 Section 6.2.3 Section 5.8	5.2, 5.3, 5.14, 5.16. 6.1, 6.2, 6.4, 6.5, 6.8, 6.9, 6.10
6	Oct 10 (Mon) (NO class)	Thanksgiving day.
	Oct 12 (Wed)	Section 6.1 Section 6.2.1, 6.2.2	6.12, 6.13, 6.14, 6.16, 6.18
	Oct 14 (Fri) HW 4 due Lab 2 due	Section 6.1.2, 6.1.3, 6.1.4. Section 6.3, 6.4 Section 6.5	6.3, 6.6, 6.7, 6.11, 6.17,
7	Oct 17 (Mon)	Section 7.1. 7.2, Section 7.3.1,	7.2, 7.3, 7.4, 7.5, 7.6 (a), 7.7,
	Oct 19 (Wed)	Section 7.3.2, 7.3.3	7.9, 7.10, 7.11, 7.13, 7.15, 7.17 (b), 7.18
	Oct 21 (Fri) HW 5 due	Section 7.4. Also read Section 7.5	7.1, 7.8, 7.22 (Important), 7.23, 7.24, 7.25, 7.26, 7.28, 7.29, 7.30, 7.31
8	Oct 24 (Mon) Lab 3 due	Section 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7	8.2 (e) (h), 8.3, 8.6 (a)(b)(c)(d)(e), 8.8(e)(h)(i), 8.10,
	Oct 26 (Wed)	Section 8.8, 8.9,	8.1(c), 8.2 (a)(b)(c), 8.5(a), 8.7 (a)(b)(c)(d), 8.8 (f)(g), 8.9(c)(d)(e)(f), , 8.11, 8.17,
	Oct 28 (Fri) HW 6 due	Section 8.10, 8.11. We also covered aysmptotic behaviour of ln x compared to x.	8.1 (a)(b), 8.2 (d)(f)(g)(i), 8.4, 8.5 (b) , 8.6 (e), 8.8 (a)(b)(c)(d), 8.9((b), 8.12, 8.13, 8.15, 8.16, 8.18.
9	Oct 31 (Mon)	Section 9.1, 9.2, 9.3, 9.4.	9.1, 9.2, 9.3, 9.8, 9.9, 9.10, 9.12
	Nov 2 (Wed)	Section 9.5, 9.6, 9.7, 9.8	9.11, 9.16, 9.19
	Nov 4 (Fri) HW 7 due	Section 9.9, 9.10, 9.11, 9.12, 9.13	9.4, 9.5, 9.6, 9.7, 9.13, 9.14, 9.15, 9.17, 9.18
10	Nov 7 (Mon) Lab 4 due	Section 10.1, 10.2, 10.3	10.3, 10.6
	Nov 8 (Tue) 6--7pm. Midterm II at BIOL 2000
	Nov 9 (Wed)	Section 10. 3, 10.4, 10.5	10.5, 10.9, 10.10
	Nov 11 (Fri) No class	Remembrance day
11	Nov 14 (Mon)	Section 10.5 , 10.6, 10.7, 10.8	10.1, 10.2, 10.8, 10.11, 10.12, 10.14, 10.22
	Nov 16 (Wed)	Section 10.5, 10.8, 10.9, 10.10	10.7, 10.13, 10.15, 10.17, 10.18, 10.19, 10. 20, 10.21.
	Nov 18 (Fri) HW 8 due	Ch. 11.	11.1, 11.2, 11.3 (b) (c) 11.4, 11.5,
12	Nov 21 (Mon) Lab 5 due	Section 12.1, 12.2, 12.3,	12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.7, 12.9,
	Nov 23 (Wed)	Section 12.3, 12.4.	You may need calculator to do the following: Use Newton's method to do 12.10, 12.11, 12.14,
	Nov 25 (Fri) HW 9 due	Section 12.4	You may need calculator (or spreadsheet) to do the following: 12.17, 12.19 (c), 12.20 (b)
13	Nov 28 (Mon) Lab 6 due	Section 13.1, 13.2, 13.3, 13.4	13.1, 13.2, 13.3, 13.4, 13.5, 13.6, 13.7
	Nov 30 (Wed)	Section 13.3, 13.4, 13.5.1, 13.6,	13.8, 13.9, 13.10, 13.11, 13.14, 13.16,
	Dec 2 (Fri)	Section 13.5.1, 13.6, 13.7	13.17, 13.18, 13.19, 13.22, 13.20, 13.21

MATH102:101 Final Exam: DEC 10, 12:00 noon		Final Exam AT ??