MA 242 (005): Calculus III
Spring 2012
Section
5, MTWHF 11:20am-12:10pm, HA 201
Instructor: Leslie Kurtz
( lakurtz@ncsu.edu )
Office: SAS Hall,
Room 3240
Office Hours: MTWH 9-10am
or by appointment
Teaching Assistant: Chris Cyr (cmcyr@ncsu.edu)
Office hrs: MW
2:30-3:30 Laundry 208
Class Web Page: http://www4.ncsu.edu/~lakurtz/ This is the place to find old tests, extra
copies of handouts, complete solutions to the exams and Extra Credit
opportunities.
Prerequisites: MA 241 with a grade of C- or better.
Content: This
is the third of three semesters in a calculus sequence for science and
engineering majors. Vectors, vector algebra, vector functions, functions of
several variables, partial derivatives, gradients, directional derivatives,
maxima and minima, multiple integration, line and surface integrals, Green's
Theorem, Divergence Theorem, Stokes' Theorem, and numerous applications will be
covered. The Maple software program will be used to further illuminate these
topics.
Textbooks: Calculus: Concepts and Contexts, by James Stewart (4th ed.)
Grade Calculation:
|
WebAssign/Quizzes |
10% |
|
Maple |
10% |
|
Tests |
55% |
|
Final Exam |
25% |
Grading Scale: The final grade will be assigned using the
plus/minus grading system
|
A+: 98-100 |
A: 93-97.99 |
A-: 90-92.99 |
|
B+: 88-89.99 |
B: 83-87.99 |
B-: 80-82.99 |
|
C+: 78-79.99 |
C: 73-77.99 |
C-: 70-72.99 |
|
D+: 68-69.99 |
D: 63-67.99 |
D-: 60-62.99 |
WebAssign: Homework assignments will be completed through
WebAssign. See http://webassign.ncsu.edu for homework
questions and due dates. You must log in
using your unity ID and password (same as your email). You will have to purchase an access card to
use the WebAssign system, which you can do at the school’s bookstore or online
at the WebAssign page.
Maple Assignments: There will be 8 Maple assignments that must be
completed throughout the semester.
Assignments, dates, and other information can all be found at www.math.ncsu.edu/calculus. Please Note: You do NOT have to purchase
Maple. You can use Maple for free at the school’s computer labs. If you need help with Maple you can get help
in HA G-108 on Tuesdays and Thursdays from 4:30-6:30pm.
Tests: There are 4 scheduled tests during the
semester. ** Each student is required
to turn in 5 blue “Examination” booklets before January 31. Students who fail
to do so will lose 5 points on Test 1.
After Test 1, students who have not brought blue books will continue to
lose 5 points on each test/exam until they bring them in. Do not
write anything on the books. Blue
books can be purchased at the bookstore.**
|
Test
1: Feb 1 |
|
Test
2: Feb 27 |
|
Test
3: Mar 26 |
|
Test
4: Apr 20 |
Please note: After the tests are returned, you have 3 days to look them over and compare them to the solutions online. If you believe there is an error in the grading of your test, you need to notify me within these 3 days. Grade changes will not occur outside of this timeframe.
Final: The final will be given on Wednesday, May 9 from
8AM-11AM.
Make-Up Test Policy: All anticipated absences must be excused in
advance of the test date and a make-up test scheduled if possible in
advance of the absence. These include
University duties or trips (certified by an appropriate faculty or staff
member), required court attendance (certified by the Clerk of Court), or
religious observances (certified by the Department of Student Development:
515-2441). Emergency absences must be
reported within one week of returning to class and must be appropriately
documented (illness by an attending physician or family emergencies by Student
Development). No other make-ups will be
given. It is not wise to miss a test.
Attendance:
Attendance will be recorded daily, with no
distinction made between excused and unexcused absences, except in the event of
a missed test. You are expected to
arrive on time to class. Any student who
is not an active class participant the full class period (e.g., doing other
work in class, socializing, sleeping, text messaging, leaving early) is
recorded as absent. If you miss no more than 4 days AND attend every test, I
will replace your lowest test grade with your final exam grade (assuming it is
higher).
If you miss class or are late, you are still
responsible for all material covered and assignments due. The university
attendance policy can be found at: http://policies.ncsu.edu/policy/pol-11-35-01
Academic Integrity: I assume that anything turned in with
your name on it is your own work. Each time you submit a test, maple,
WebAssign, or quiz, you affirm the honor pledge, “I have neither received unauthorized
aid nor given aid on this assignment.” The minimum penalty for cheating
is a grade of zero on the assignment; violators may be reported to the Academic
Integrity Review Board, which can impose additional sanctions. The code of
student conduct can be found at: http://www.ncsu.edu/policies/student_services/student_discipline/POL11.35.1.php
Multimedia Center: The math department’s multimedia center is located
in SAS 2105. Videotapes and DVDs of lectures for this course from
previous semesters are available for viewing.
These lectures are also available online http://courses.ncsu.edu/ma242/common/media/OutlineOfLectures.html
Additionally, free tutoring from mathematics
graduate students is available; no appointment is necessary.
Disability
Services: Reasonable accommodations will be made for
students with verifiable disabilities.
In order to take advantage of available accommodations, students must
register with Disability Services for Students at http://www.ncsu.edu/dso/students/
|
Tentative Class Schedule |
||
|
Day |
Topic |
Due |
|
Mon Jan 9 |
9.1 3-D
Coordinate Systems |
Purchase
webassign access card |
|
Tues Jan 10 |
9.1 cont. |
|
|
Wed Jan 11 |
9.2 Vectors |
|
|
Thurs Jan 12 |
9.2
Continued/9.3 Dot Product |
|
|
Fri Jan 13 |
9.3 continued |
Intro Webassigns |
|
|
|
|
|
Mon Jan 16 |
NO CLASS,
Martin Luther King Day |
|
|
Tues Jan 17 |
9.4 Cross
Product |
|
|
Wed Jan 18 |
9.4 cont |
Webassign 9.1
& 9.2 |
|
Thurs Jan 19 |
9.5 Equations
of lines & planes |
MAPLE HW 0
& 1 DUE |
|
Fri Jan 20 |
9.5 cont |
|
|
|
|
|
|
Mon Jan 23 |
9.6 Functions
& Surfaces |
Webassign 9.3
& 9.4 |
|
Tue Jan 24 |
10.1 Vector Functions
& Space Curves |
|
|
Wed Jan 25 |
10.2
Derivatives & integrals of vector functions |
Webassign 9.5 |
|
Thurs Jan 26 |
10.3 Arc
length & curvature |
MAPLE HW 2
DUE |
|
Fri Jan 27 |
10.4 Motion
in space |
|
|
|
|
|
|
Mon Jan 30 |
10.4 More on
motion in space |
Webassign 9.6
& 10.1 |
|
Tue Jan 31 |
Review for
Test #1 |
Webassign
10.2 & 10.3 |
|
Wed Feb 1 |
TEST #1 |
|
|
Thurs Feb 2 |
11.1
Multivariable functions |
|
|
Fri Feb 3 |
11.1 Level
surfaces |
Webassign
10.4 |
|
|
|
|
|
Mon Feb 6 |
11.2 Limits
& continuity |
|
|
Tues Feb 7 |
11.3 Partial
derivatives |
|
|
Wed Feb 8 |
11.3 cont |
|
|
Thurs Feb 9 |
11.4 Tangent
planes & linear approximations |
|
|
Fri Feb 10 |
11.5 The
chain rule |
Webassign
11.1 & 11.2 |
|
|
|
|
|
Mon Feb 13 |
11.6
Directional derivatives & the gradient vector |
|
|
Tue Feb 14 |
11.6 cont |
Webassign
11.3 |
|
Wed Feb 15 |
11.7 Extreme
values |
|
|
Thurs Feb 16 |
11.7 cont |
|
|
Fri Feb 17 |
If needed |
Webassign
11.4 & 11.5 |
|
|
|
|
|
Mon Feb 20 |
12.1 Double
integrals over rectangles |
Webassign
11.6 |
|
Tue Feb 21 |
12.2 Iterated
integrals |
MAPLE HW 3
DUE |
|
Wed Feb 22 |
12.2 cont |
|
|
Thurs Feb 23 |
12.3 Double Integrals
over general regions |
|
|
Fri Feb 24 |
Review for
Test #2 |
Webassign
11.7 |
|
|
|
|
|
Mon Feb 27 |
TEST #2 |
|
|
Tue Feb 28 |
12.3 cont |
|
|
Wed Feb 29 |
12.3 cont |
Webassign
12.1 and 12.2 |
|
Thurs Mar 1 |
12.4
Double Integrals in polar coordinates |
MAPLE HW 4
DUE |
|
Fri Mar 2 |
12.4 Cont |
|
|
|
|
|
|
Mar 5-9 |
SPRING BREAK,
NO CLASSES |
|
|
|
|
|
|
Mon Mar 12 |
12.4 Cont |
Webassign
12.3 |
|
Tue Mar 13 |
12.5
Applications of double integrals |
|
|
Wed Mar 14 |
12.7 Triple
Integrals |
|
|
Thurs Mar 15 |
12.7 cont |
Webassign
12.4 & 12.5 |
|
Fri Mar 16 |
12.7 cont |
|
|
|
|
|
|
Mon Mar 19 |
9.7
Cylindrical and spherical coordinates |
Webassign
12.7 |
|
Tues Mar 20 |
12.8 Triple
integrals in cylindrical coordinates |
|
|
Wed Mar 21 |
12.8 Triple
integrals in spherical coordinates |
MAPLE HW 5
DUE |
|
Thurs Mar 22 |
12.8 cont |
|
|
Fri Mar 23 |
Review for
Test #3 |
Webassign 9.7,
12.8 |
|
|
|
|
|
Mon Mar 26 |
TEST #3 |
|
|
Tues Mar 27 |
13.1 Vector
Fields |
|
|
Wed Mar 28 |
13.2 Line
Integrals |
|
|
Thurs Mar 29 |
13.2 More on
line integrals |
|
|
Fri Mar 30 |
13.2 More on
line integrals |
|
|
|
|
|
|
Mon Apr 2 |
13.2 More on
line integrals |
Webassign
13.1 |
|
Tues Apr 3 |
13.3
Fundamental thm for line integrals |
|
|
Wed Apr 4 |
13.3
Conservative vector fields |
|
|
Thurs Apr 5 |
NO CLASS,
SPRING HOLIDAY |
|
|
Fri Apr 6 |
NO CLASS,
SPRING HOLIDAY |
|
|
|
|
|
|
Mon Apr 9 |
13.5 Curl
& divergence |
Webassign 13.2
& 13.3 |
|
Tues Apr 10 |
10.5
Parametric surfaces |
|
|
Wed Apr 11 |
10.5 cont |
Webassign
13.5 |
|
Thurs Apr 12 |
P 777-778 Tangent
planes to parametric surfaces |
|
|
Fri Apr 13 |
12.6 Surface
area of parametrized surfaces |
|
|
|
|
|
|
Mon Apr 16 |
13.6 Surface
Integrals |
Webassign
10.5 |
|
Tues Apr 17 |
13.6 cont |
|
|
Wed Apr 18 |
13.6 cont |
Maple HW 6
DUE |
|
Thurs Apr 19 |
Review for
Test #4 |
Webassign
12.6 & 13.6 |
|
Fri Apr 20 |
TEST #4 |
|
|
|
|
|
|
Mon Apr 23 |
13.7 Stokes’
theorem |
|
|
Tues Apr 24 |
13.8
Divergence Theorem |
|
|
Wed Apr 25 |
13.8 cont |
|
|
Thurs Apr 26 |
Semester Review |
__________________________ |
|
Fri Apr 27 |
Semester
Review |
Webassign
13.7 & 13.8 MAPLE HW 7
DUE |
|
|
|
|
|
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|
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Wed May 9 |
FINAL EXAM
8AM-11AM |
|