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 “Paul Boisvert Oakton”
Office Hours:
M: 10-10:30 am & 1-2:15 pm
Tue: 10:30 am - 12 & 1:50 - 2:20 pm
W: 10-10:30 am & 1-2:15 pm
Thu: 10:30 am – 12 Other times 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 polar equations and their
application to differentiation and integration.
J. Use technology for evaluating integrals,
series, and polar and parametric equations.
V. Academic
Integrity: Students and employees at
integrity
and follow Oakton’s Code of Academic Conduct.
This code prohibits:
Cheating, Plagiarism
(turning in work not written by you, or lacking proper citation),
Falsification and fabrication
(lying or distorting the truth), Helping
others to cheat
Unauthorized
changes
on official documents, Pretending to be
someone else or having someone else pretend to be you
Making or
accepting bribes, special favors, or threats, and Any other behavior that violates academic integrity.
There are serious consequences to violations of the academic
integrity policy. Oakton’s policies and
procedures provide students a fair hearing if a complaint is made against
you. If you are found to have violated
the policy, the minimum penalty is failure on the assignment, and a
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. Details of the Code of Academic Conduct can
be found in the Student Handbook.
VI. Outline of Topics:
(with approximate time guide) Weeks
Review Review of Calculus
1, using L’Hopital’s Rule (Sec. 4.7) and Substitution
Integrals 1
(Sec 5.5) as a framework. Derivative Rules, Basic Integral Formulas
Chapter 6 Applications of Definite Integrals: Distance,
Areas (Review dx-areas and dy-areas), 4
Volumes,
Lengths of Plane Curves, Masses, Work, Fluid Pressures and Forces
Chapter 6 Logarithm
Functions, Exponential Growth
0.5
Appendix C Hyperbolic functions, Derivatives, and
Integrals
0.5
Chapter 7 Integration Techniques: Integration by Parts, Partial Fractions, Trig
Integrals, Trig 4
Substitutions,
Other Strategies, Numerical Integration, Improper Integrals, Intro to
Differential Equations
Chapter 8 Sequences and Infinite Series: Sequences, Infinite Series, Divergence and Integral
Test, 2
Comparison,
Ratio and Root Tests, Alternating Series
Chapter 9 Power Series,
Chapter 10
Parametric and Polar Curves: Parametric Equations, Polar Coordinates,
Derivatives and 2
Integrals, Areas and Lengths in Polar Coordinates, Conic Sections
VII. Methods of
Instruction: Lecture,
Problem-Demonstration, and Student Problem-Solving, Including
Technology-Based
Applications
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.
I love to answer questions, and will either answer it
immediately, or arrange to answer it outside of class. 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 if you are not
getting all your questions answered during class. If you are occasionally absent, or
need more help, please see me right away for help. Do Not
Wait!
5. Course may be taught as face-to-face,
media-based, hybrid or online course.
IX. Instructional Materials: Required
Textbook: Calculus (Early Transcendentals), by Briggs and Cochrane. Addison Wesley,
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 the
Important Dates:
Feb 12: Last day to withdraw and have course
completely dropped from your record, or to change to Audit.
Mar 11: Last
day to withdraw with a “W”. Students
will receive a grade of A,B,C,D, or F if still enrolled
on Mar 12.
May 10: (Thu) Final Exam is given in this class. Last day of
class for this course, but other courses may meet May 11.
.