Instructor: Professor
Paul Boisvert (Pronounced “BWA--VAIR”) E-mail: pboisver@oakton.edu
Offices:
Phone: 847-635-1935 (Voicemail--repeat name &
phone # twice.) Web Page:
Google my name: “Paul Boisvert”
Office Hours:
Mon: 10am – 11, 1 pm -2 pm Tue/Th: 10:30am – 12:30pm
Wed 10am – 11, 1 pm – 2:30 Other hours during week by appointment
I. Course Prefix Course Number Course Name
Credit: Lecture Lab
MAT 251 Calculus
2 4 4 0
II. Prerequisites: MAT 250
with a grade of C or better.
III. Course
(catalog) Description: This course is a
continuation of MAT 250 and focuses on integration, applications of
integration,
methods of integration, infinite series, polar and vector functions. Use of technology
is integrated throughout.
IV. Learning Objectives:
A. Evaluate
definite integrals by using substitution, integration by parts, and tables.
B. Evaluate
improper integrals.
C. Use integrals to find area, volume
and arc length; application to physics and engineering.
D. Evaluating
differential equations by Euler's method and the separation of variables.
E. Evaluating
infinite sequences and series.
F. Using
convergence tests and estimating series.
G. Using power
series and representing functions by power series.
H. Using Taylor and Maclaurin series.
I. Understand two dimentional
vector functions and their applications.
J. Understand polar equations and their
application to differentiation and integration.
K. Use technology for evaluating integrals,
series, and polar and parametric equations.
V.
Academic Integrity: The very
nature of higher education requires that students adhere to accepted standards
of academic integrity. Therefore,
It is the student’s responsibility to be aware of behaviors that
constitute academic dishonesty.
Pursuant to the due process guarantees
contained in the Policy and Procedures on Student Academic Integrity, the
minimum punishment for the first offense for a student found in violation of
the standards of academic integrity is failure in the assignment. In addition,
disciplinary record will be established and kept on file in the office of the
Vice President for Student Affairs for a period of 3 years.
VI. Outline of Topics:
(with approximate time guide) Weeks
Review Review of Calculus
1, using L’Hopital’s Rule (Sec. 4.6) and Integral
Areas (Sec 5.6) 0.5
as a framework.
Derivatives, Integrals, Applications
Chapter 6 Applications of Definite Integrals: Volumes, Lengths of Plane Curves,
Moments, 3
Surfaces of Revolution, Work, Fluid pressures
and Forces
Chapter 7 Integrals and Transcendental Functions : Logarithm
as Integral, Exponential Growth, 2
Relative
Rates of Growth, Hyperbolic Functions
Chapter 8 Techniques of Integration: Integration by Parts, Partial Fractions, Trig
Integrals, Trig 2.5
Substitutions,
Tables and CAS, Numerical Integration, Improper Integrals
Chapter 9 Further Applications of Integrals: Slope Fields and Separable Differential
Equations, 2
First Order Linear Diff. Eq’s,
Euler’s Method, Graphical Solution of Autonomous
Diff. Eq’s,
Applications of First-Order Differential Equations.
Chapter 10
Conic Sections and Polar Coordinates: Quadratic Equations, Classifying Conic
Sections 2.5
By Eccentricity, Rotations, Parametric
Equations and Cycloids, Polar Coordinates and
Graphing, Areas and Lengths
in Polar Coordinates, Conic Sections in Polar Coord’s.
Chapter 11 Infinite Sequences and Series: Sequences, Infinite Series, The Integral Test, Comparison 3
Tests, Ratio and Root Tests, Alternating
Series, Absolute and Conditional Convergence,
Power Series,
Chapter 12 Vectors and the Geometry of Space: 3-D Coordinate System, Vectors, Dot
Products 0.5
VII. Methods of
Instruction: Lecture,
Problem-Demonstration, and Student Problem-Solving
VIII Course Practices Required: Minor changes to these may be made with 2
weeks notice given in class.
1. Homework Policy: Homework consists
mainly of Odd-numbered problems, which have answers in the back of the
book. You must check each answer to each problem, and, if you don’t get
it correct, ask me about it at the
start of the next class. Homework will
only be collected during the next class meeting after a Test, by which time you
should have learned how to do every problem.
Homework and writing assignments are graded on a Credit/No Credit basis,
with a check-mark indicating that Credit was received for the assignment. Credit is given if it looks like you have
done almost all of the assignment satisfactorily, with the work and steps
involved fully shown. The total
check-marks received divided by the total number of assignments is your HW grade for the term, which can easily be 100% if
you do all the assignments.
2. Missed Tests and Dropped Tests: All tests must be
taken. If you miss the scheduled time for
any reason, you must take a make-up test in the testing center within
1 week. Check the time deadline for
this makeup with me very carefully! This make-up test will carry a 7% penalty
the first time,
and a 14% penalty if you miss a 2nd
test. No makeups
for a third test missed—you will get a zero.
However, at the end of the term,
a student’s lowest test score will be replaced by their (Final Exam score minus
10%), if this result is higher than the lowest test score.
3. Attendance, Tardiness, and Leaving Early. This is a college mathematics class, and will
move at a fast pace and with comparable difficulty to such classes at 4-year
colleges. It requires constant,
serious effort and work by students.
Unless you are quite sick or have a legal obligation, missing any
portion of class is a very bad idea! If
you have a problem attending the full, scheduled class times, you should
probably drop the class. Do not fall
behind the pace of this class. Do
homework immediately when assigned, and study and review material every
day or two. Letting even a few days go
by when you don’t give this class your serious attention is a recipe for low
grades or failure.
4. Questions and Extra Help: Please ask questions as often as you wish. The more questions, the better every one
learns.
Asking questions is the best way to learn! I love to answer questions, and can
help the whole class learn more if you make clear what is puzzling you. We will start every class with questions on
Homework, so make sure you have done it, and are ready to ask about anything
confusing you. For extra help, I’m
available during office hours and by appointment to help you with material if
you are not getting all your questions answered during class. If you are occasionally absent, or if
a concept needs more explanation, please come and see me right away for
help. Do Not Wait!
IX. Instructional Materials: Required
Textbook: Thomas' Calculus (Early Transcendentals), 11th Ed., by Weir, Hass, and
Giordano. Pearson Addison Wesley,
NOTE:
now available in partial editions in Oakton Bookstore—talk to me
before buying, it is complicated.
Also required: Graphing Calculator (TI-83, 84 or 89
recommended, others ok IF you have a manual.
85 is poor.)
X. Methods of
Evaluation: 4 Tests: 65% 2
hours each. Given every 3 to 4 weeks.
Homework: 10% Collected
on the class day after each test.
Final
Exam 25% Comprehensive, covering almost
all the material.
Grading Scale: A: 90-100% (Excellent work, with very few and only
trivial mistakes)
B:
80-89% (Good or above average work,
with some minor mistakes)
C:
70-79% (Average work, with some minor and a few major
mistakes)
D:
60-69% (Poor or below average work, with many minor
and some major mistakes)
F: 0-59%
(Unacceptable or failing work which does not show adequate
understanding)
XI. Other Course
Information: If you have a documented
learning, psychological, or physical disability you may be entitled to
reasonable academic accommodations or services. To request accommodations or
services, contact the ASSIST office in Instructional Support Services. All
students are expected to fulfill essential course requirements. The college will
not waive any essential skill or requirement of a course or degree program.
Important Dates:
Sep 21: Last day to withdraw and have course
completely dropped from your record, or to change to Audit.
Oct 19: Last day to withdraw with a “W”. Students will receive a grade of A,B,C,D, or F if still enrolled on Oct. 20
Dec 16: (Wednesday) Final Exam is given in this
class. Last day of all classes for this term.
.