math217

Young-Heon Kim’s Teaching Home Research

(Term 1, 2010/2011: September, 2010 -- December, 2010)

MATH 217:101 Multivariable and Vector Calculus. UBC course page here

Class: Tue, Th 09:30--11:00 & Fri 09:00--10:00 at Buchanan A103
Office hours (subject to change): Th 2:00--3:00, Fri 11:10--12:10 or by appointment. Please email at yhkim "at" math "dot" ubc 'dot' ca

First class: Thursday, Sept. 9. Last class: Friday, Dec. 3.

Course syllabus

Announcements

Nov 22, 2010. Teaching evaluation is NOW available online in the UBC system: https://eval.olt.ubc.ca/science. Pleaes take it seriously and please complete the evaluations before the deadline: 11PM on December 5th, 2010. (Survey results will not be released to instructors until course grades have been submitted.)

Sept 16, 2010. A copy of the textbook is on reserve (2hr loan) in the library:
You may request the available Stewart book by the call number: QA 303.2 .S735 2008 PRIV.COPY. It is held in the reserve area behind the circulation desk at IKBLC.

Sept 17, 2010. Office hours are now changed to Th 2:00--3:00 and Fri 11:10--12:10. Of course, you can alway contact me by email, to arrange meeting me at other times.

Homework Assignments:

(Please note that we are using Stewart, Multivariable Calculus, 6th edition.
NOT Early transcendental. Please make sure you are doing the right problems.)

Homework will be collected at the beginning of lecture each Friday starting September 17.
Late homework (past 9:15AM on the due date) will not be accepted in any case.
Also, homework will be collected ONLY in the class.
If you are unable to attend lecture on a certain Friday, submit the homework in an earlier lecture.
A missed homework will result in 0 mark.
Two lowest homework grades will be dropped in computing the grade.
Your homework should be written in a clear manner so that the grader can understand easily what you are doing. Also it should be handwritten neatly. Unreadable or very hard to read homework may get zero or very low mark.
You are encouraged to discuss the homework with other students, but you must produce and write the solutions on your own.
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 decided after the deadline), you will get zero mark. So, it would be better for you to do all the problems to be handed in.

Grading policy:

For computational problems, to earn lots of credit, you have to get the right answer with proper set-up of the calculation.
In many cases (especially for the easier problems), about half the points will be given for setting up the calculation properly and about half for computing the numerical answer correctly. For more difficult problems, more percentage will be given for properly setting-up the calculation. You may loose most (sometimes, all) of points for setting up the calculation incorrectly, even if the subsequent computations are correct. Also, you may loose half the points for not finding the correct final answer, even if the initial set-up is correct.

HW 1 (posted on Sept 14. due Sept 17 in class)
HW 2: (Posted on Sept 17. Due Sept 24 in class)
HW 3: (Posted on Sept 23. Due Oct 1 in class)
HW 4: (Posted on Sept 30. Due Fri. Oct 8 in class)
HW 5: (Posted on Oct 19. Due Fri. Oct 22 in class)
HW 6: (Posted on Oct 22. Due Fri. Oct 29 in class)
HW 7: (Posted on Oct 31. Due Fri. Nov 5 in class)
HW 8: (Posted on Nov 7. Due Fri, Nov 12 in class)
HW 9: (Posted on Nov 12. Due Fri, Nov 19 in class)
HW10: (Posted on Nov 22. Due Fri, Nov 26 in class)

Schedule / Plan / Progress / Summary (Note: Starred exercieses (e.g. 38*) will be included in the homework problem sets to turn in)

Week	Date	Contents	suggested practive exercises (Please note that we are using Stewart 6th edition. NOT Early transcendental.)
1
	Sept. 9 (first class)	Overview. coordinate systems. distance. sphere. 13.1	13.1. #11, 15, 19, 33, 38*, 39
	Sept 10 (Fri)	Vectors and dot product. 13.2 --3	13.2. #1, 11, 19, 29, 36* 13.3. #1, 11, 13, 19, 23, 41, 49, 50, 51, 57, 60
2	Sept 14 (Tue)	Do product13.3: projections. Cross product. 13.4: cross product. triple product.	13.4 #7, 9, 11, 13, 15, 19, 29, 36, 37, 43, 44, 45, 49. p830, Discovery project #2*,
	Sept. 16 (Thur)	Equations of lines and planes. 13.5. Cylinders and quadric surfaces 13.6	13.5. #1, 5, 13, 19, 21, 31 13.5 #38, 41, 45, 49, 55, 59, 61, 62, 74* 13.6. #3, 7, 11, 19, , 21, 23, 25, 27, 33, 34, 41, 42, 43 (also sketch the surface), 46* (also sketch the surface) p848. True-False quiz # 1 --- 18. p851 #3
	Sept. 17 (Fri). HW 1 is due	Vector functions and space curves 14.1	14.1 #1, 3, 4, 5, 10, 14, 13, 19, 21, 25, 37, 38, 43
3	Sept 21 (Tue)	Derivatives and integrals of vector functions. 14.2	14.2 # 3, 5, 7, 13, 15, 16, 21, 35, 37, 40, 47, 49, 50*, 51
	Sept 23 (Thur)	Arc length and curvature 14.3 Position, velocity, and acceleration 14.4. Example 3. Acceleration and curvature: 14.4. p 878 -- 879	14.3 #3, 5, 11, 13, 15, 16, 19, 24, 51, 53, 54*, Read 14.4 Example 3. 14.4. #15, 19, 35, 41
	Sept 24 (Fri) HW 2 is due	Functions of several variables. 15.1	Do not use computer or graphic calculators! 15.1 # 7, 9, 11, 13, 15, 17, 19
4	Sept 28 (Tue)	- Functions of several variables. (graphs and level curves) 15.1 - Limits and continuity 15.2	Do not use computer or graphic calculators! 15.1. # 23, 25, 29, 30, 34, 35, 37, 38, 41, 45, 46, 49, 55, 57, 59, 60, 61 15.2 # 7, 9, 10, 13, 14, 16, 18*, 41
	Sept 30 (Thur)	- Limits and continuity 15.2	15.2 # 19, 22, 25, 29, 30, 33, 37, 45
	Oct 1 (Fri) HW 3 is due	- Partial Derivatives 15.3	15.3 #4, 5, 8, 37, 40, 71, 72, 73, 76, 81, 82, 87, 93
5	Oct 5 (Tue)	First Midterm. It includes the materal covered in class for sections up to 15.2 (Limits and Continuity) inclusive, and corresponding suggested practice exercises (including homework assignments).
	Oct 7 (Thur)	-Partial Derivatives 15.3
	Oct 8 (Fri) HW 4 is due	Tangent planes and linear approximations 15.4	15.4 #5, 6, 13, 15, 19, 21, 42, 45, 46*
6	Oct 12 (Tue)	Chain Rule 15.5	15.5 #5, 11, 14, 23, 34, 36*, 39, 43, 49
	Oct 14 (Thur)	Directional derivatives and gradient 15.6	15.6 #11, 14, 22, 23, 25, 34, 35, 37, 44, 48, 52*, 55, 59
	Oct 15 (Fri)	gradient 15.6 Maximum and Minimum 15.7 Lagrange Multipliers 15.8	15.7 #34, 55, 56 15.8 #1, 10, 11, 14, 19, 20, 25, 26*
7	Oct 19 (Tue)	Lagrange Multipliers 15.8. Second derivative test 15.7.	15.7 #1, 3, 6, 11, 15, 18, 19, and 42* (apply the second derivative test).
	Oct 21 (Thur)	Double integrals over rectangles 16.1 Iterated integrals 16.2	16.1 #11, 12, 14, 18* 16.2 #3, 9, 12, 17, 21, 22, 24, 26, 36*
	Oct 22 (Fri)	Double integrals over general regions 16.3.	16.3 #5, 6, 9, 13, 15, 19, 22, 24, 25, 28*,
8	Oct 26 (Tue)	Double integrals over general regions 16.3. Double integrals in polar coordinates 16.4	16.3 #33, 34, 45, 46, 47 16.4 #6, 9, 11, 15, 18, 19, 21, 27
	Oct 28 (Thur)	Triple integrals 16.6 Triple integrals in cylindrical coordinates 16.7	16.6 #9, 11, 15, 16, 17, 21, 22, 28, 32, 33, 38*
	Oct 29 (Fri)	Triple integrals in cylindrical coordinates 16.7 Triple integrals in spherical coordinates 16.8	16.7 #9, 12, 16, 18*, 21, 25, 27
9	Nov 2 (Tue)	Triple integrals in spherical coordinates 16.8 Change of variables 16.9	16.8 #9, 13, 18, 20, 21, 25, 28, 33 (a), 34, 36, 39, 44
	Nov 4 (Thur)	Change of variables 16.9	16.9 #7, 10, 13, 14, 22, 23, 24
	Nov 5 (Fri)	Vector fields 17.1 Line integrals 17.2	17.1 # 5, 6, 11, 13, 17, 18, 23, 29, 31, 35, 36 17.2 # 4, 7, 8, 15, 16, 17, 21, 36, 40*, 45
10	Nov 9 (Tue)	Second Midterm.
	Nov 11 (Thur)	No Class (Remembrace Day)
	Nov 12 (Fri) HW 8 due	17.3 Fundamental Thoerem for Line integrals	17.3 # 1, 23, 27
11	Nov 16 (Tue)	17. 3 Fundamental Theorem for Line integrals	17.3 # 5, 7, 19, 20, 29, 31, 31, 33, 34(a)*
	Nov 18 (Thur)	17.4 Green's thoerem	17.4 # 2, 4, 8, 10, 13, 18*, 21, 22, 23,
	Nov 19 (Fri) HW 9 due	17. 5. Curl and Divergence	17.5 # 9, 10, 11, 12, 14, 16, 19, 20, 21 (irrotational = zero curl), 22 (incompressible = zero divergence), 25, 26, 30 (a) (b)*, 31 (b)
12	Nov 23 (Tue)	17. 5 Curl and Divergence 17. 6 Parametric Surfaces and their areas	17. 6 #4, 13, 14, 15, 16, 17, 18, 19, 20, 23, 25, 26, 34 (Just the tangent plane),
	Nov 25 (Thur)	17.6 Parametric Surfaces and their areas	17.6 # 38, 40, 43, 44, 46, 58, 60 (a) (c)
	Nov 26 (Fri) HW 10 due	17.7 Surface Integrals	17.7 #7, 10, 11, 16, 38, 40 (a)
13	Nov 30 (Tue)	17.7 Surface Integrals of vector fields 17.8 Stokes' theorem	17.7 # 19, 21, 22, 28 (with outward normal direction), 41
	Dec 2 (Thur)	17.8 Stokes' theorem 17.9 The divergence theorem	17.8 # 1, 4, 5, 6, 7, 8, 9, 12 (a), 17, 18, 19
	(Fri)	17.9 The Divergene theorem	17.9 # 8, 12, 13, 17, 18, 23, 24, 25, 26, 27
			Ch. 17 Review questions (page 1142 -- 1144): Concept check: all the problems True-False quiz: all the questions Review Exercises: #1, 4, 6, 7, 8, 10, 11, 13, 16, 17, 18, 19, 21, 24, 25, 26(a), 27, 28, 29, 30, 32, 33, 34, 37 (Hint: first, check curl F), 38, 39, 40
Dec 16th at NOON		Final Exam (150 minutes) AT MATH 100