MAT 211 Calculus III, Section 01, CRN
25751, Spring 2005
Class
meets MW
Instructor:
Office: NSM A-123; Office phone number: (310) 243- 3139
e-mail
address: sraianu@csudh.edu; URL: http://www.csudh.edu/math/sraianu;
Office
hours: MW:
Course
Description: MAT 211,
Calculus III, covers
Chapters 13-17 from the textbook:
Multivariable calculus: analytic geometry, scalar and vector products,
partial differentiation, multiple integration, change of coordinates, gradient,
optimization, line integrals, Green's theorem, elements
of vector calculus.
Text:
James Stewart, Calculus,
5th edition, Brooks/Cole, 2003.
Objectives: After completing MAT 211 the student
should be able to:
Prerequisites: MAT 193 or equivalent with a grade of
"C" or better.
Grades:
Grades will be based on three in‑class 70-minutes
examinations (60% total), a comprehensive final examination (25%), and quizzes,
homework, attendance and other assignments (15%) for the remainder.
The exact grading system for
your section is the following:
Each of the three 70-minutes exams will be graded on a 100
scale, then the sum of the scores is divided by 5 and denoted by E.
Homework will be collected three times, on the
days of the three exams, and each homework is worth 5
points. No late homework will be accepted. The average of all homework scores
is denoted by H.
5
to 10 minutes quizzes
will be given in principle every Friday, with the exception of the review and
exam days, and will be graded on a scale from 1 to 5. The average of the
quizzes scores is denoted by Q.
There are also 5 points
awarded for attendance and class
participation. This portion of the grade is denoted by A.
The final exam will be graded out of a maximum possible 200, then the score is divided by 8 and denoted by F.
To determine your final grade, compute E+H+Q+A+F. The maximum is 100,
and the grade will be given by the rule:
A: 93‑100; A‑: 90‑92; B+: 87‑89; B: 83‑86; B‑: 80‑82
C+: 77‑79; C: 73‑76; C‑: 70‑72; D: 60‑69; F: Less than 60.
WebWorK: There
will be three WebWork assignments. You should go to
my web site, follow the link, then log in using as user name your CSUDH email
user name (i.e. first initial followed by last name), and the last 5 digits of
your ID as password (change the password after the first log in). Each of the
three assignments are due before
Makeups: No makeup examinations or quizzes will
be given. If you must miss an examination for a legitimate reason, discuss
this, in advance, with me, and I may then substitute the relevant score from
your final examination for the missing grade.
Students with Disabilities: Students who need special consideration
because of any sort of disability are urged to see me as soon as possible.
Academic
Integrity: The
mathematics department does not tolerate cheating. Students who have questions
or concerns about academic integrity should ask their professors or the
counselors in the Student Development Office, or refer to the University
Catalog for more information. (Look in the index under "academic
integrity".)
Technology:
Symbolic calculators,
such as TI-89 or TI-92 are not acceptable for this course.
Tentative schedule and homework assignments
M 1/24: 13.1 Three-Dimensional
Coordinate Systems. #13, 22, 30, 39, 40, 41
W 1/26: 13.2 Vectors. #4, 20, 27, 29,
30, 33, 43
F: 1/28: 13.3 The
Dot Product. #21, 27, 34, 45, 49, 52, 53
M
1/31: 13.4 The Cross Product. #3, 11, 15,
24, 27, 29, 31, 36, 39, 41
W
2/2: 13.5 Equations of Lines and Planes. #3, 5, 7, 12, 23, 26, 33,
36, 51, 59, 66, 72
F
2/4: 13.6 Cylinders and Quadric Surfaces. #4, 9, 11, 13, 15, 37, 40,
42
M 2/7: 13.7 Cylindrical and Spherical
Coordinates. #9, 19, 23, 29, 31, 41, 50, 60, 64
W 2/9: 14.1 Vector
Functions and Space Curves. #4, 9, 19-24, 39
F 2/11: 14.2 Derivatives and Integrals of
Vector Functions. #5, 14, 19, 25, 33
M 2/14: 14.3 Arc Length
and Curvature. #1, 5, 10, 14, 18
W 2/18: 14.4
Motion in Space: Velocity and Acceleration. #1, 7, 19, 21, 23, 24, 28, 29, 33,
40
F 2/20: Review
M 2/21: Presidents’ Day
W 2/23: Exam I
F 2/25: 15.1
Functions of Several Variables. #9, 30-32, 37, 53-58
M 2/28: 15.2 Limits and Continuity. #5, 9, 18, 26, 30, 37
W
3/2: 15.3 Partial Derivatives. #4, 8, 14, 15, 31, 47, 66, 67, 68d
F 3/4: 15.4 Tangent Planes and Linear Approximations. #1, 4, 13, 20, 23, 31, 33, 38
M
3/7: 15.5 The Chain Rule. #1, 5, 11, 14, 17, 23, 27, 31, 33, 38, 43,
47
W 3/9: 15.6
Directional Derivatives and the Gradient Vector. #1, 4, 9, 15, 24, 30, 34, 36,
41, 54
F 3/11: 15.7 Maximum and Minimum Values.
#3, 5, 7, 27, 29, 41
M 3/14: 15.8 Lagrange Multipliers. #5, 9,
15, 17, 29
W 3/16: 16.1
Double Integrals over Rectangles. #7, 9, 13, 17
F 3/18: 16.2 Iterated Integrals. #3, 5,
7, 13, 19, 25
M 3/21: 16.3
Double Integrals over General Regions. #7, 11, 15, 21, 25, 31, 37, 41, 47
W 3/23: 16.4 Double Integrals in Polar
Coordinates. #7, 11, 17, 21, 25, 28, 29, 33
F 3/25: 16.5
Applications of Double Integrals. #5, 11, 14, 21
M 3/28: Spring
Recess
W
3/30: Spring Recess
F 4/1: Spring Recess
M 4/4: Review
W 4/6: Exam II
F 4/8: 16.6
Surface Area. #1, 3, 7, 11, 24
M 4/11: 16.7
Triple Integrals. #7, 11, 13, 19, 31, 40
W
4/13: 16.8 Triple Integrals in Cylindrical and Spherical
Coordinates. #7, 9, 17, 29
F
4/15: 16.9 Change of Variables in Multiple
Integrals. #9, 11, 15, 17, 18, 19, 23
M
4/18: 17.1 Vector Fields. #3, 5, 6, 11, 25
W
4/20: 17.2 Line Integrals. #1, 5, 7, 11, 15, 17, 19, 21, 31, 37, 39,
41, 42
F
4/22: 17.3 The Fundamental Theorem for Line
Integrals. #1, 3, 5, 13, 19, 29, 31
M
4/25: 17.4 Green's Theorem. #1, 7, 9, 12, 15, 17, 21
W
4/27: 17.5 Curl and Divergence. #7, 13, 15,
19, 25, 27, 33, 34
F
4/29: 17.6 Parametric Surfaces and Their Areas. #1, 3, 5, 7, 9, 11-16,
19, 22, 31, 37, 39, 45
M
5/2: 17.7 Surface Integrals. #9, 13, 19, 21, 23, 25, 27, 39, 41
W
5/4: 17.8 Stokes' Theorem. #1, 3, 5, 7 9, 11a, 13, 15, 17, 19
F
5/6: 17.9 The Divergence Theorem. #3, 5, 7,
9, 13, 15, 19, 25, 27, 29
M 5/9: Review
W
5/11: Exam III
F 5/13: Review
Final examination: Monday,
May 16, 10:00-12:00.