Department of Mathematics
North Carolina State University
MA 242 Schedule – Spring 2012
Tests:
There are 4 scheduled tests during the semester. The test dates ( Feb. 1, Feb 27,
Mar. 26, Apr. 20) have been
coordinated with Physics and Chemistry and hence the test dates cannot be changed.
Textbook: Calculus,
Concepts and Contexts by James Stewart, 4th edition.
All
materials related to the Maple program
can be found at the URL http://www.math.ncsu.edu/calculus
Maple
Homework Assignments: There are 8 scheduled
Maple Homework assignments distributed throughout the semester. The
"Start" and "Due dates" are listed below. The
"start" dates have been adjusted so that the Maple Homework materials
correspond to the lecture materials. Note that there are no formal Maple labs. However
there are twice weekly Maple
Help labs for students to attend on a voluntary basis. It is the
responsibility of each student to (1) download the Maple Lessons from the web,
(2) study the Lessons, and (3) complete the Maple Homework assignments on time.
Students with no previous Maple experience: Students with no
Maple experience need to follow the instructions in the "Introductory
Materials". These instructions are posted on the
calculus with Maple homepage listed above.
Extensions on Maple Homework: Short extensions on Maple Homework assignments can only be
given for extreme situations. If a student has a valid reason to request
an extension, then the student must request the extension from the studentŐs
lecture instructor
MA 242
Day-by-day Schedule Spring,
2012
|
Week of |
Section |
Topic |
|
01/9 |
9.1 |
3-D Coordinate
systems |
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9.2 |
VECTORS |
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9.2 |
Continue study of vectors |
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9.3 |
THE DOT PRODUCT |
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Friday |
Maple HW 0 and 1 begin. Due 1/19 |
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01/16 |
|
MARTIN LUTHER KING, JR., HOLIDAY |
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9.4 |
THE CROSS PRODUCT |
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9.5 |
EQUATIONS OF LINES AND PLANES |
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9.5 |
More on equations of lines and planes |
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Friday |
Begin Maple Homework #2 "Lines and Planes". Due 1/26 |
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01/23 |
9.6 |
FUNCTIONS AND SURFACES. |
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10.1 10.2 |
VECTOR FUNCTIONS AND SPACE CURVES DERIVATIVES AND INTEGRALS OF VECTOR FUNCTIONS |
|
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10.3 |
ARC LENGTH AND CURVATURE |
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10.3 10.4 |
More on curvature. MOTION IN SPACE |
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01/30 |
10.4 |
More on motion in space. |
|
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|
Review for Test #1 |
|
February 1 |
Wednesday |
TEST #1 |
|
|
11.1 |
MULTIVARIABLE FUNCTIONS – Material up through
level curves |
|
|
11.1 |
LEVEL SURFACES- Lecturers will have to spend some
time on this topic as the textbook does NOT do a good job on this –
only one paragraph on the top of page 746 is devoted to the topic. |
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02/06 |
11.2 |
LIMITS AND CONTINUITY - Draw attention to
the first full paragraph on page 752, and refer students to section
2.3 in the text. |
|
|
11.3 |
PARTIAL DERIVATIVES – Omit PDE material on
pages 764-766. |
|
|
11.4 |
TANGENT PLANES AND LINEAR APPROXIMATIONS - Draw
attention to theorem 8 on page 773, Omit "Tangent planes
to parametric surfaces" on pages 777-778. This material will be
covered later. |
|
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11.5 |
THE CHAIN RULE |
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02/13 |
11.6 |
DIRECTIONAL DERIVATIVES and THE GRADIENT VECTOR |
|
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11.6 |
More on the gradient vector |
|
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|
Begin Maple Homework #3 "Applications of the Gradient". Due 2/21 |
|
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11.7 |
EXTREME VALUES |
|
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11.7 |
More on extreme values |
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02/20 |
12.1 |
DOUBLE INTEGRALS OVER RECTANGLES |
|
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12.2 |
ITERATED INTEGRALS |
|
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Wednesday |
Begin Maple Homework #4: "Boundaries of
regions in the plane" - Homework due 3/01 |
|
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12.3 |
DOUBLE INTEGRALS OVER GENERAL REGIONS |
|
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|
Review for Test #2 |
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February 27 |
Monday |
TEST #2 |
|
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12.3 |
More on double integrals over general regions |
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12.3 |
Continuity study of section 12.3 |
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|
12.4 &
Appendix G |
DOUBLE INTEGRALS IN POLAR COORDINATES.
You will need to spend part of 1 day introducing polar coordinates to your
students. Refer your students to Appendix G. |
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March 5 - 9 |
|
SPRING BREAK |
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03/12 |
12.4 &
Appendix G |
Continue study of double integrals in polar
coordinates |
|
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12.5 |
APPLICATIONS OF DOUBLE INTEGRALS |
|
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12.7 |
TRIPLE INTEGRALS |
|
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|
Begin Maple Homework #5: "Boundaries of
regions in space" - Homework 3/21 |
|
|
12.7 |
More on triple integrals |
|
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|
03/19 |
9.7 |
Cylindrical and spherical
coordinates |
|
|
12.8 |
Triple integrals in
cylindrical coordinates |
|
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12.8 |
Triple integrals in
spherical coordinates |
|
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|
Review for Test # |
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03/26 |
Monday |
TEST #3 |
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13.1 |
3VECTOR FIELDS |
|
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13.2 |
LINE INTEGRALS – First briefly review
parameterized curves from section 10.1 and formula #7 in section 10.3. |
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13.2 |
More on line integrals |
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04/02 |
13.3 |
FUNDAMENTAL THEOREM FOR LINE INTEGRALS |
|
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13.3 |
Conservative vector fields and potential functions |
|
April 5-6 |
|
SPRING HOLIDAY |
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04/09 |
13.5 |
CURL AND DIVERENCE |
|
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10.5 |
PARAMETRIC SURFACES |
|
|
10.5 and
pages 777-778 |
Parametric surfaces and tangent planes to parametric
surfaces |
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Begin Maple Homework #6: "PARAMETRIC SURFACES" - Due 4/18 |
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12.6 |
SURFACE AREA OF PARAMETRIZED SURFACES |
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04/16 |
13.6 |
SURFACE INTEGRALS (2 days) |
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13.6 |
More on surface integrals |
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Review for Test #4 |
|
April 20 |
Friday |
TEST #4 |
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Begin Maple Homework #7: " SURFACES INTEGRALS" - Due 5/1 |
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04/23 |
13.7 |
STOKESŐ THEOREM |
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13.8 |
THE DIVERGENCE THEOREM |
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Semester Review |
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04/27 |
|
Semester Review – Last day of classes |
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April 30-May
1 |
Monday,
Tuesday |
READING DAYS |
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May 2 - 10 |
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FINAL EXAMS |
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