Multivariable Calculus
Syllabus
Fall
2004
Instructor:
Chris
Orlando Email
*I am
available for help after school on Tuesdays, Wednesdays,
and Thursdays in room C111.
Web
Page: http://blackboard.mcps.k12.md.us
*Homework,
assignments, grades, and other important information
can be found on this page.
Text:
Multivariable Calculus; Stewart, 5th edition
Grading
and Assessment:
Your
grade in this course will be determined by the following:
1. Tests — At the end of each chapter. 50%
2.
Quizzes —
Usually one or two per chapter.
25%
3.
Homework
—
To be collected on test days. 25%
Homework
will be graded according to the following:
23-25
points: All diagrams, graphs, sketches are neat
and labeled. Problems
are completed accurately.
20-22 points:
Most problems are neat and labeled.
Most problems are completed correctly.
18-19 points:
Some concepts are not attempted.
Accuracy of the problems is not consistent.
15-17 points: Many
concepts are not attempted.
Most problems are not completed accurately.
0-14 points: Most
concepts are not attempted and are not accurate. Problems are not easily read or understandable.
Class Expectations:
- Homework will be assigned
almost every day. You will need to keep an organized
folder for your homework to be turned in and graded
on test days.
- You should bring paper,
pencil, textbook, and a calculator to class every
day (TI-83 preferred).
- There will be no food
or drinks allowed in class (bottled water is okay).
- If you are absent the
day of a test, you will be required to take the
test the day you return to school.
If you are absent the day before the test,
you will still be required to take the test upon
returning to school.
It is your responsibility to contact another
student to receive any review information.
Academic
Dishonesty
This
applies to both written work and oral presentations. Examples of academic dishonesty include,
but are not limited to, the following:
the willful giving or receiving of an unauthorized
text, unfair, dishonest, or unscrupulous advantage
in academic work over other students using fraud,
duress, deception, theft, trickery, talking, signs,
gestures, copying, or any other methodology.
Grading
and Reporting
The
following B–CC policies are consistent with the
new MCPS Grading and Reporting Policy as outlined
in Learning, Grading and Reporting Guidelines
(MCPS, 2004).
These will apply in all courses offered at
B–CC.
l
Teachers
will assign grades to reflect individual achievement
on course objectives.
l
Teachers
will determine grades based on a variety of assessment
methods.
l
Teachers
will issue progress reports at the 4½ week mark
in each quarter.
l
Teachers
will establish clear due dates and deadlines.
The maximum penalty for work submitted after
the due date but before the deadline is one letter
grade on an A-E scale or 10% on a 100% scale.
l
Teachers
will record 50% as the lowest possible grade if
percentages are used.
Course
Outline
Chapter
13 Vectors
and Geometry of Space
13.1 Three-Dimensional Coordinate System
13.2
Vectors
13.3
The Dot Product
13.4
The Cross Product
13.5
Equations of Lines and Planes
13.6
Cylinders and Quadric Surfaces
13.7
Cylindrical and Spherical Coordinates
Chapter
14 Vector
Functions
14.1 Vector Functions and Space Curves
14.2
Derivatives and Integrals of Vector Functions
14.3
Arc Length and Curvature
14.4
Motion in Space:
Velocity and Acceleration
Chapter
15 Partial
Derivatives
15.1 Functions of Several Variables
15.2
Limits and Continuity
15.3
Partial Derivatives
15.4
Tangent Planes and Linear Approximations
15.5
The Chain Rule
15.6
Directional Derivatives and the Gradient
Vector
15.7
Maximum and Minimum Values
15.8
Lagrange Multipliers
Chapter
16 Multiple Integrals
16.1 Double Integrals over Rectangles
16.2
Iterated Integrals
16.3
Double Integrals over General Regions
16.4
Double Integrals in Polar Coordinates
16.5
Applications of Double Integrals
16.6
Surface Area
16.7
Triple Integrals
16.8
Triple Integrals in Cylindrical and Spherical
Coordinates
16.9
Change of Variables in Multiple Integrals
