Course: MATH
218 Calculus II Term: Spring 2007 Meets: MTWF 10:40 - 11:50
Instructor: Craig Kalicki Office: H-284
E-mail: craig.kalicki@briarcliff.edu Phone: 279-5541
Text: Stewart, Calculus
Early Transcendentals, Fifth Edition, Thomson Brooks/Cole, ©2003
ISBN 0-534-39321-7
Prerequisites:
Students in this course
should have passed MATH 217 Calculus I or an equivalent course at another
institution.
Goals
of course:
1) To gain an appreciation of calculus as an
organized body of mathematical tools with numerous applications in
the sciences.
2) To develop some of the mathematical skills
necessary to understand and apply models involving the concepts
of calculus.
3) To learn to discover mathematical results by
examining evidence, and formulating and testing conjectures.
4) To become competent in the use of technology
as a tool for discovering, learning, and applying mathematics.
Grading:
|
Three exams @ 15% |
45% |
|
A = 100 - 93 |
C+ = 76 - 74 |
|
Final exam |
25% |
|
A- = 92 - 90 |
C = 73 - 67 |
|
Assignments |
20% |
|
B+ = 89 - 87 |
D+ = 66 - 64 |
|
Computer lab |
10% |
|
B = 86 - 80 |
D = 63 - 51 |
|
Total |
100% |
|
B- = 79 - 77 |
|
Grading rubric:
The grading
rubric below will be used to assess written work, including text assignments
and exam questions.
A separate
rubric will be distributed for lab reports.
|
Level |
Characteristics |
|
4 |
Solution is
correct and clearly stated. |
|
3
Good |
Method of
solution is substantially correct. |
|
2
Adequate |
Method of
solution is flawed but basically correct. |
|
1
Minimal |
Solution is
attempted but significant errors occur. |
|
0
Unacceptable |
Solution is
omitted or an answer is given with no supporting evidence. |
Expectations
of students:
1) Attend class and computer lab on a regular
basis. Three or more unexcused absences
should be considered
excessive.
2) Read and review the text as needed, paying
particular attention to terminology and examples. You may want
to take some notes in class, but it is
inadvisable to try to transcribe lectures.
Most of the material you are
responsible for is discussed in the
text.
3) Come to class prepared to ask questions,
participate in discussions, and present solutions of assigned problems.
Due to time constraints, not all
assigned problems will be discussed in class.
Doing text assignments with
others in the course is
encouraged.
4) Make use of your instructor's office
hours. Ask for help whenever difficulties
arise or when you feel the need for
advice or encouragement.
5) Hand in reasonably complete text
assignments. Credit will be given for
handing in assignments and selected
problems will be graded. Answers to odd-numbered problems are in the
back of the text. Assignments are
to be handed in at the beginning
of class on the date due. No late
work will be accepted except in cases of
serious illness or family
emergency.
6) Do all lab exercises and be prepared to
discuss results obtained and problems encountered at the next class
meeting. Labs are intended to be cooperative learning
experiences; working with a lab partner is expected.
The report for each lab is due at the
next lab meeting.
7) Show evidence of learning on exams. Exams will be thorough and sufficient study
time must be allotted.
Unexcused absence from an exam will
result in an automatic grade of zero for that exam.
Technology:
Each student should have a graphing
calculator available for use during class and exams. Keep the manual
supplied with the
calculator and learn to use the calculator effectively. Recommended models are the TI 84+, 86,
or 89. The software Derive 6 is installed on the
Briar Cliff PC network and will be used in all lab sessions.
Learning
outcomes:
The specific expected learning outcomes for this course are listed
below. Assessment of the degrees to
which
these outcomes have been achieved will be done via written exams, homework
assignments, and lab reports.
Students who have completed MATH 218 will be able to
1) use definite integrals to compute area,
volume, arc length, and average value.
2)
find indefinite integrals by the methods of integration by parts and
partial fractions.
3) find indefinite integrals involving
trigonometric functions.
4) approximate the values of definite
integrals by numerical methods.
5) understand and evaluate improper integrals.
6) apply the definite integral to problems in
the physical and biological sciences.
7) apply the definite integral to problems in
probability and statistics.
8)
understand basic principles of modeling with differential equations.
9)
investigate solutions of differential equations graphically and
numerically.
10)
solve basic first order differential equations analytically.
11)
formulate and apply growth and decay models.
12)
describe behavior of curves defined parametrically.
13)
find tangent lines and arc length for parametric curves.
14)
describe behavior of curves in polar form.
15)
understand convergence of sequences and infinite series.
16) apply convergence tests for series of
constant terms.
17) determine the radius and interval of
convergence of power series.
18) approximate values of functions using
Course
outline:
Ch 6 Applications of Integration [6 classes]
Area between curves / volumes of
solids of revolution / work / average
value of a function.
Ch 7 Techniques of Integration [5 classes]
Integration by substitution /
integration by parts /
trigonometric integrals / method
of partial fractions /
approximation methods /
improper integrals.
Ch 8 Further Applications of Integration [5 classes]
Arc length / pressure and force
/ moments and center of mass / applications in biology /
applications in statistics.
Ch 9 Differential Equations [6 classes]
Modeling with differential equations /
slope fields / Euler’s method
/ separable equations / growth
and decay / logistic models / linear equations.
Ch 10 Parametric Equations and Polar
Coordinates [5 classes]
Parametric curves / tangent
lines / arc length / polar coordinates / polar curves.
Ch
11 Infinite Sequences and Series [8 classes]
Sequences / infinite series of constant terms / convergence tests / absolute convergence /
power series /
Ó2007 by Craig Kalicki PhD,