Syllabus for MATH 2421 Section 001
Calculus III (Summer 2009)
1. Instructor: Mike Kawai
I am also the Director of the Mathematics Education Resource Center (MERC Lab) located
in the North Classroom Bldg. in Rooms 4015 & 4009. I spend most of my life there. If
you have any complaints about me, then you should go to Professor Lynn Bennethum, the
Associate Chair of our department. Her phone number is (303)556-4810.
2. E-mail & Phone:
Mike.Kawai@ucdenver.edu
(303)556-8532[MERC Lab]
3. Time and Location: Monday/Wednesday/Friday 10:30 a.m. - 1:00 p.m. in WC 267.
PLEASE TURN OFF YOUR CELL PHONES DURING OUR LECTURE PERIODS!
4. O¢ ce Hours: MERC Lab from 9:30 a.m. to 10:30 a.m. before our class meetings. I’m
usually available afterwards also, but on some days I have a service commitment. Just ask!
5. Website: math.cudenver.edu/~mkawai
Check here if you missed a lecture.
6. Course Description: Topics include vectors, vector-valued functions, partial di¤erentiation,
multiple integration, and vector calculus.
7. Prerequisite: MATH 2411 [Calculus II]
8. Textbook: Calculus: Early Transcendentals, Anton, EIGHTH edition (bicyclists).
cover …ve chapters, beginning with Chapter 12.
We
It is also possible to buy just the MULTIVARIABLE (Calc. III) version of the text.
much less expensive.
It’s
9. Technology: A graphing calculator (TI-89) is often very handy during lectures to check
boardwork. We do NOT use them during the tests. If you have a Windows PC, you may
obtain a free copy of Derive5 from the MERC Lab. I will probably assign a “Time Limited
Lab Homework” which will essentially be a MERC Lab quiz (no collaboration). Details
coming.
10. Course Goals:
(a) To reinforce knowledge gained from Calculus I & II.
(b) To extend that knowledge to multivariable calculus.
(c) To demonstrate the immediate relevance and applicability to other disciplines (Physics,
in particular).
11. Grading:
Homework
Quizzes
Test #1 (Calc. IIIA)
Test #2 (Calc. IIIB)
Weight
10%
10%
40%
40%
Your …nal course grade will be determined by the following percentage scale:
92.0 or more
90.0 - 91.9
87.0 - 89.9
81.0 - 86.9
79.0 - 80.9
76.0 - 78.9
70.0 - 75.9
55.0 - 69.9
Below 55.0
=A
=A
= B+
=B
=B
= C+
=C
=D
=F
12. Homework:
(a) We will pass out the homework cover sheets in class. (They will also be available on
the website.) The due date should be displayed on each assignment. The assignments
are due at 4 p.m. on those dates.
(b) You may turn in your assignments (early, if you’re not coming to class) at the MERC
Lab when it is open. Be sure that the Lab Assistant writes the date and time when it
is placed in my “IN” folder.
(c) Each homework assignment is worth 10 points.
(d) Late homework:
If you have made some prior arrangement with me, then no points will be deducted.
Else, we will deduct up to 4 points for turning in late homework. We will not accept
late homework which is more than one lecture period late.
Hint: You will receive 4 points (out of 10) for correctly (and completely) writing up at
least one homework problem, so always turn something in on time!
(e) We do NOT have a lot of time to answer homework questions during the lecture periods.
It is imperative that you do not miss any class meetings!
(f) All homework must be completed on engineering pad paper. Only use the graph paper
side when drawing scaled graphs and …gures.
For each question, you MUST:
(i) give a short summary of the problem statement. I should NOT need to refer back
to the text to determine the problem statement.
[The summary may be as short as “Evaluate the integral.”]
(ii) organize all work neatly. Do NOT cram everything together on one page. It pays
to do most of the work on scratch paper …rst, and then copy your …nal solutions to
the engineering pad.
(iii) box or highlight your …nal answers. I hate playing hide-and-go-seek when grading
your assignments.
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(g) It is imperative that you spend as much time as possible at mastering the homework
and computer work (12 hours minimum per week; some of that time can be spent in
the MERC Lab working with other students!). Spend your time wisely! If you …nd
yourself working on one problem for more than 10 minutes without any progress, then
move on to another problem. Doing other problems will often clarify something which
you needed to do for the original problem. If you are getting stuck on all the problems,
then collaborate with other students or with me during o¢ ce hours.
(h) I do NOT drop any homework scores. You must do EVERY assignment.
13. Quizzes
(a) There should be approximately 6 in-class quizzes during the semester. I will warn you
about the quizzes during our session prior to the session the quiz is given.
(b) There will be one technology quiz which requires the use of Derive5 in the MERC Lab.
(c) Each quiz is worth 10 points.
(d) I will also o¤er a “Take-Home” quiz which is essentially a longer problem report which
you must TYPE up. The grade on this report can replace your lowest quiz grade.
14. In-Class Tests:
(a) We strive to provide a short review prior (the previous lecture period) to each in-class
test, but our schedule is quite tight. Be sure to ask questions about the review material
which will be handed out two sessions before each exam.
(b) No technology is allowed on the test. We supply you with a note sheet of formulas prior
to the test.
(c) There are severe consequences for not contacting me prior to test time if you cannot
take the tests at the appointed time! (E-mail!!!)
(d) The test dates are Monday, 6 July (Calc. IIIA) and Friday, 31 July (Calc. IIIB).
(e) I have arranged it so that if you want to take the test on the following day (7 July or
1 August), you can use the regular test day as a review day. I will hold a regular class
session to review, if this helps!
(f) The two tests are NOT cumulative, but clearly, the test for Calc. IIIB requires knowledge
from Calc. IIIA.
15. Academic Honesty:
(a) I HAVE NO TOLERANCE FOR CHEATING. Cheating of any kind on a quiz or test
will result in a course grade of “F”. It is possible that you will also be expelled from
the University.
(b) It is okay to collaborate on homework, but if there is obvious evidence that you are simply
COPYING homework solutions from a solutions manual or from another student, then
you will receive a failing grade on that assignment.
You are responsible for being attentive to or observant of campus policies concerning
academic honesty as stated in the University’s Student Conduct Code.
(http://thunder1.cudenver.edu/studentlife/studentlife/discipline.html)
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16. Drops & Incompletes: You have until Monday, July 13th to drop this course with only
the instructor’s (but not the Dean’s) signature. The incomplete policy of the department
and college is strictly enforced. Incomplete grades (I) are NOT granted for low academic
performance. To be eligible for an incomplete grade, a student MUST been ALL of the
following requirements:
(a) The student successfully completed a minimum of 75% of the course.
(b) There were special circumstances beyond the student’s control that precluded the student
from attending class and completing the course. Veri…cation of these special circumstances is required.
(c) The student has made arrangements to complete the missing coursework with the original instructor via a CLAS Course Completion Agreement.
The Course Completion Agreement is available from the CLAS Advising O¢ ce (NC
2024) or from the Department of Mathematical Sciences (6th ‡oor of the CU-Denver
Bulding).
17. Religious Holiday Accomodations: You must inform me at the beginning of this semester,
in order for me to accomodate any rescheduling of your coursework.
18. Disability Accomodations: To be eligible for accomodations, students must be registered
with the UCD O¢ ce of Disability Resources and Services (DRS). The o¢ ce is located at NC
2514 [(303)556-3450]. Faculty cannot arbitrarily decide to give a student extra time, extra
assistance, or other forms of aid unless it is formally mandated by the DRS.
Dean’s O¢ ce Announcements:
1. See handout for all Summer 2009 information.
2. Important dates:
(a) 16 June (5:00 p.m.): Last day to DROP a course with tuition reimbursement, request a
“No Credit Grade”, request Pass/Fail for a course, or register as a Summer 2009 Degree
Candidate.
(b) 16 June (5:00 p.m.): Last day to ADD a course using a Schedule Adjustment Form.
(c) 6 July (5:00 p.m.): Last day for NON-CLAS students to DROP a course without a
petition to the student’s academic dean. After this date, no DROPS or
WITHDRAWALS are allowed unless there are very special circumstances. This is
treated as an absolute deadline.
(d) 13 July (5:00 p.m.): Last day for CLAS students to DROP individual classes or withdraw
from all classes without a petition and special approval from the student’s academic
Dean. This is treated as an absolute deadline.
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Tentative Schedule
06/08: Sect. 12.1 (Rectangular Coodinates in 3D; Spheres; Cylindrical Surfaces)
Sect. 12.2 (Vectors)
06/10: Sect. 12.3 (Dot Product; Projections)
Sect. 12.4 (Cross Product)
06/12: Sect. 12.5 (Parametric Equations of 3D Lines)
Sect. 12.6 (Planes in 3D)
06/15: Sect. 12.7 (Quadric Surfaces)
Sect. 12.8 (Cylindrical & Spherical Coordinates)
06/17: Sect. 13.1 (Vector-Valued Functions)
Sect. 13.2 (Calculus of Vector-Valued Functions)
06/19: Sect. 13.3 (Arc Length)
Sect. 13.4 (Unit Tangent, Normal, and Binormal Vectors)
06/22: Sect. 13.5 (Curvature)
Sect. 13.6 (Motion Along a Curve)
06/24: Sect. 14.1 (Functions of Several Variables)
Sect. 14.2 (Limits & Continuity)
06/26: Sect. 14.3 (Partial Derivatives)
06/29: Sect. 14.4 (Di¤erentiability, Di¤erentials, and Local Linearity)
Sect. 14.5 (Multivariable Chain Rule)
07/01: Sect. 14.6 (Directional Derivative & Gradient)
Sect. 14.7 (Tangent Planes & Normal Vectors)
07/03: Sect. 14.8 (Maxima & Minima of Functions of Two Variables)
07/06: TEST #1 [Monday]
07/08: Sect. 15.1 (Double Integrals)
07/10: Sect. 15.2 (Double Integrals over Nonrectangular Regions)
07/13: Sect. 15.3 (Double Polar Integrals)
Sect. 15.4 (Surface Area)
07/15: Sect. 15.5 (Triple Integrals)
Sect. 15.6 (Centroid; Theorem of Pappus)
07/17: Sect. 15.7 (Triple Integrals in Cylindrical & Spherical Coordinates)
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07/20: Sect. 16.1 (Vector Fields)
07/22: Sect. 16.2 (Line Integrals)
07/24: Sect. 16.3 (Independence of Path; Conservative Vector Fields)
07/27: Sect. 16.4 (Green’s Theorem)
Sect. 16.5 (Surface Integrals)
07/29: Sect. 16.6 (Applications of Surface Integrals; Flux)
Sect. 16.7 (Divergence Theorem)
07/31: TEST #2 [Friday]
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