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MAT 202 Vector Calculus Fall
2004 Instructor:
Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu Office Hours:
Room A210, Tues. 1:00 – 2:00 PM
Thurs. 12:00 – 1:00 PM
Thurs. 3:00 – 4:00 PM GMC G4,
Mon. & Wed. 9:30 - 10:30 AM And as always, by appointment. Class Time and Location:
Mon. & Wed.
2:00 – 3:05 PM, D102 Tues. & Thurs.
2:00 – 3:05 PM, E106 Textbook: Calculus, 7th Edition, by Larson, Hostetler,
& Edwards Calculator:
A graphing calculator is required for this class. I will be demonstrating with the TI-89. I may be able to help you individually if you have another
type of calculator. Course Description:
MAT 202 covers the calculus of several variables including partial
differentiation, applications of partial derivatives, vector fields, multiple
integration, and vector analysis. Prerequisite:
A grade of C or better in MAT 107 or equivalent. Course Objectives: The
successful student will: 1)
exhibit a proficiency in the topics covered in the
course; 2)
engage in logical and critical thinking; 3)
read technical information; and 4)
demonstrate the solution to problems by translating
written language into mathematical statements, interpreting information,
sketching relevant diagrams, analyzing given information, formulating
appropriate mathematical statements, and checking and verifying results. Course Grade:
Your final letter grade will be based on the usual grading scale: A 90-100%, B
80-89%, C 70-79%, D 60-69%, F 0-59% The
following items will make up the course grade: Homework:
100 points Quizzes:
150 points Exam1
(October 11) Exam2
(November 1):
450 points Exam3
(November 22) Final Exam
(December 6):
300 points You may
check your grades at any point in the quarter by going to the following website
and looking up your secret number: http://www.gradesource.com/reports/1027/6237/index.html Homework:
Homework will be due by 3:30 PM the day after it is assigned.
Homework not turned in at this time will be considered late (no
exceptions). You may turn in homework up to two days after it is assigned for
half credit. If all homework is
turned in, and no more than three are late, the lowest regular exam score will
be dropped. Quizzes:
There will be six quizzes given over the quarter.
These quizzes will be designed to help prepare you for the exams, and
quiz problems will be taken directly from the homework assignments. Your lowest
quiz score will be dropped. Since
your lowest score will be dropped, missed quizzes may not be made up. Exams:
Students are to bring a pencil and blank scratch paper to each exam.
If you cannot make it to an exam (final not included), you may take it up
to 2 school days prior to the scheduled date with proper arrangements.
Otherwise, the exam may be made up after the scheduled date with a
penalty of 10% per day. Registration Information: You
must register for this class at the Office of Admissions and Records.
You may drop the class with no penalty or mark on your record on or
before October 15. After October
15, you may drop the class and receive a grade of W until November 19.
After November 19, if still enrolled, you will receive a grade of A, B,
C, D, F or I. How
to Succeed in a Math Class: I am often asked how to
successfully pass a math class, and here is my advice: I) Come to
every class session. Be prepared,
and plan on participating. II) Do your
homework. Remember that what I
assign is what I consider a bare minimum. If
you need more practice, do it. Don’t
make me be a homework enforcer. III) Read
the book. You paid good money for
it, so you might as well use it. IV) Make use
of available tutors and my office hours. You
will find tutors who know the subject matter in this course at the GMC. V) Do math
every day. Math is just like
everything else: if you don’t practice, you become rusty.
Learning
Disabled Students: It is important that students
who are identified as being learning disabled speak to me about their special
needs. I am more than willing to
grant you reasonable accommodations. Academic
Dishonesty: Academic dishonesty of any form will not be tolerated.
Students caught cheating on exams or quizzes will receive a score of zero
on the assignment for the first offense and a course grade of F for the second
offense. Students my work together
on homework assignments (and, in fact, are encouraged to) as long as all
students understand the material covered. Course Schedule: The
following is a tentative schedule. If
things change (and I have money that says they will), I will let you know. September 20
10.1-10.3
Vector Review from Mat107 21
10.4-10.6
More Vector Review 22
11.1
Vector Valued Functions 23
11.2
Differentiation and Integration of Vector Functions 27
11.3, Quiz I Velocity
and Acceleration 28
11.4
Tangent and Normal Vectors 29
11.4
Tangent and Normal Vectors (cont.) 30
11.5
Arc Length and Curvature October 4
11.5, Quiz II Arc
Length and Curvature (cont.) 5
12.1-12.3
Review of Functions of Several Variables form Mat107 6
12.5,12.6
More Review of Functions of Several Variables 7
13.1
Iterated Integrals and Area 11
Exam I
12
Go Over Exam I 13
13.1
Iterated Integrals and Area (cont.) 14
13.2
Double Integrals and Volume 18
13.3, Quiz III
Change of Variables: Polar Coordinates 19
13.4
Center of Mass, Moments of Inertia 20
13.5
Surface Area 21
13.6
Triple Integrals 25
13.6, Quiz IV
Triple Integrals (cont.) 26
13.7
Triple Integrals in other Coordinate Systems 27
13.7
Triple Integrals in other Coordinate Systems (cont.) 28
13.8
Change of Variables: Jacobians November 1
Exam II 2
Go Over Exam II 3
13.8
More on Jacobians 4
14.1
Vector Fields 8
14.2
Line Integrals 9
14.2
More on Line Integrals 10
14.3, Quiz V Conservative
Vector Fields 11
NO CLASS
Veteran’s Day 15
14.4
Larry’s Theorem 16
14.5
Parametric Surfaces 17
14.5
More on Parametric Surfaces 18
14.6
Surface Integrals 22
Exam III
23
Go Over Exam III 24
14.7
Divergence Theorem 25
NO CLASS
Thanksgiving 29
14.7
More on Divergence Theorem 30
14.8
Stokes’ Theorem December 1
14.8, Quiz VI
Stokes’ Theorem (Cont.) 2
Review for Final 6
Final Exam Note:
The Final Exam is from 11:00 AM – 12:50 PM The
following is a list of all homework assignments for this course. The due dates for the various sections will be given in
class.
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