Moraine Valley Community College
Course Syllabus
Date: 1/19/10
Course Title: Calculus III / Analytic Geometry
Course Number: MTH 152
Semester: Spring 2010
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Faculty Information
Instructor:
Keith A. Nabb
Office:
C 242
Office Hours:
MWF: 8-8:50 A.M. and R: Noon-12:50 P.M.
Feel free to make an appointment if these hours are
inconvenient.
Mailbox location:
C 154
Office Phone:
708-974-5592
E-Mail:
nabb@morainevalley.edu
Web:
www.keithnabb.com (click on Teaching, follow the
links to your course)
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Course Identification
Credit hours:
4
Total contact hours: Lecture: 4
Lab: 0
Class Meetings:
TR 1:00-2:50 P.M. Room: D 123
Prerequisite:
MTH 151 with a grade of "C" or better.
Catalog Description: A continuation of MTH 151. Topics include vectors,
vector calculus, solid analytic geometry, functions of
several variables, partial derivatives, multiple integration,
vectors analysis (including the theorems of Green, Gauss,
and Stokes) and applications.
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Textbooks/Materials
Required: Calculus: Early Transcendental Functions, by Larson, Hostetler &
Edwards, 4th Edition, Houghton Mifflin Company, 2007.
Required: Graphing Calculator: TI-83 or TI-84 preferred; TI-86, TI-89, TI-92 or
TI-82 is acceptable. The use of calculators with QWERTY keyboards and disc
drives may be restricted on quizzes and exams, including the final exam.
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Learning Outcomes
The student will:
Perform basic vector operations and analyze vector-valued functions.
Apply vector concepts to problems involving force, motion, acceleration,
curvature, etc.
Graph equations of lines, planes, cylinders, and quadratic surfaces in 3-space.
Graph equations given in 3-dimensional spherical and cylindrical coordinates.
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Perform partial differentiation and multiple integration on functions of several
variables.
Use the concepts of limit, continuity and directional derivative to analyze
functions of several variables.
Apply multiple integration to problems involving volume, center of mass, surface
area, etc.
Apply partial derivatives and line integrals to vector-valued functions.
Define and compute the divergence, curl, and line integrals for vector fields.
Use Green’s Theorem to evaluate a line integral.
Evaluate surface integrals as double integrals.
Explain and apply Gauss’s and Stokes’s Theorem in physical settings.
(Optional) Use a computer algebra system (CAS) to find derivatives and
integrals, algebraically manipulate mathematical expressions, and numerically
evaluate and graph functions and relations.
Classroom Policies/Procedures
Class attendance as well as completion of all assigned work is essential to
mastering the concepts in Calculus III. You are responsible for the material
covered in class as well as the material in the text.
A student who does not withdraw officially from a course may receive a grade of
"F", depending on course progress or attendance, which will become a part of the
student’s permanent record. The official withdrawal date is listed in the General
Information Sheet.
Final Exam Schedule: see attachment
Any form of academic dishonesty (plagiarizing/cheating) will result in failure
(a grade of 0) on that particular assignment/examination. Furthermore, each
student is responsible for adhering to the Code of Conduct as stated in the
college catalog.
It is your responsibility to seek immediate help if you are having difficulty
mastering the objectives in this course. Please feel free to see me if the need
arises. Additionally, there is free tutoring available by mathematics faculty and
qualified students on a walk-in basis in the Academic Skills Center (B 260).
Remember that forming study groups is an excellent way to verbalize your
understanding of the concepts discussed in this course.
Review sessions will take place in group settings the meeting before an exam.
The expectation is that the group will complete their task during the class period
and ask questions if need be. This will give classmates a chance to hear
alternative explanations of previously learned material.
Examinations carry a closed book and closed notes policy. Most (if not all) inclass exams will be given in two parts: one part in which calculators will be
allowed and another part in which calculators will not be allowed. Be advised
that other technologies are never permitted during examinations. These
technologies include, but are not limited to, cell phones, pagers, electronic
organizers, mp3 players, etc.
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Check the course website regularly for updates. I will post useful documents such
as the syllabus, practice exams with answers, optional assignments, the semester
project, and other miscellaneous handouts and/or links.
The Testing Center is located in B 101; be sure to bring a picture I.D. if you are
using their services.
Faculty, staff, students and college visitors may not use and must silence cellular
phones, pagers, and other communication devices in all instructional areas which
include: all labs and classrooms during instructional sessions, the Learning
Resources Center/Library, the Assessment Services Center (B 101), and other
areas so designated by the college.
At the end of this syllabus, you will find a copy of the college’s General
Information Sheet. Please read this sheet carefully.
Evaluation Criteria
There will be four in-class exams, worth a combined total of 30% of the term
grade. Missed exams are recorded as a zero and no make-up exams are given.
The lowest exam score will be dropped. In the event that you cheat/plagiarize
on an examination, be advised that your lowest exam score will not be
dropped. That is, all four of your in-class examinations will weigh evenly in
determining your exam average. The final exam will be comprehensive with
similar problems to older exams and homework. There is no make-up if you
miss the final exam and the final exam score is never dropped. If you miss
the final exam for any reason, a zero will be recorded as the final exam score.
The final exam is worth 30% of the term grade.
The daily homework assigned from the text will not be collected. Instead,
students should come prepared to facilitate/present/discuss their solutions to
homework problems to their classmates. Other audience members should feel
open to ask questions about thought process or solution method; thus, the
“presenter” will have thought through the problem (in anticipation of questions)
before coming to class. The first 10 minutes of class will be dedicated to the
discussion/presentation of these homework problems. (You are encouraged to
discuss these problems with me and/or your fellow classmates before class
begins.) Your participation in facilitating discussion and presenting your solution
is worth 10% of the term grade. Evaluation will be based predominantly on your
ability to (1) articulate your understanding of the problem, and (2) answer
questions (as opposed to just presenting an acceptable solution).
There will be one assigned project during the course of the semester. If you wish,
you may collaborate with one other student (in the class) while working on the
project. The project will most likely incorporate Maple (or some other computer
algebra system) in a substantial way. The project is worth 30% of the term grade.
Late projects are subject to a stiff 20% deduction.
The Computer Algebra System (CAS) Maple will be integrated throughout the
course; Maple is similar to (but far more powerful than) the graphing calculator.
Occasionally, simple Maple exercises will accompany the homework
assignments. This will serve as good preparation for the final project (see above).
Final grades are computed according to the following scale:
Average
90 or above
80-89
70-79
60-69
59 or below
F.
Grade
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F
There are no opportunities for “extra credit.”
VII. Course Calendar
The schedule that follows is tentative and may be adjusted during the semester to
accommodate the needs of the course. There will be a review (half period) and a test (full
period) following each unit. The units are approximately 4 weeks in length.
Unit 1:
Vectors; Geometry of Space; Vector Operations; Projections; Lines and
Planes; Distance; Calculus of Vector-Valued Functions; Projectile Motion;
Tangent and Normal Vectors; Acceleration; Arc Length; Curvature;
Surfaces in Space
This unit is a blend of chapters 11 and 12 from the textbook with
section 11.6 postponed until the end. Section 11.7 is delayed until Unit
3.
Unit 2:
Limits; Partial Differentiation; Differentials; Chain Rule; Directional
Derivative; Gradients; Gradient Applications; Extrema; Lagrange
Multipliers
This unit corresponds to chapter 13 in the text; section 13.9 will not be
covered.
Unit 3:
Iterated Integrals; Volume; Polar Coordinates; Surface Area; Triple
Integrals; Cylindrical and Spherical Coordinates; Triple Integrals in
Cylindrical and Spherical Coordinates; Jacobians
This unit corresponds to chapter 14 in the text. Section 14.4 will not
be covered but section 11.7 will be covered.
Unit 4:
Vector Fields; Curl; Divergence; Line Integrals; Fundamental Theorem of
Line Integrals; Green’s Theorem; Parametric Surfaces; Surface Integrals;
Stokes’s Theorem; Gauss’s Theorem (aka, the Divergence Theorem)
This is chapter 15.
Final Exam:
MTH 152-003 (See Attached Schedule)
Important Dates:
Tuesday March 2 (No Class)
Week of March 15 (No Class Tuesday & Thursday)