











Converse College,
located in Spartanburg, SC and established in 1889 (www.converse.edu)
is accredited by the Commission on Colleges of the Southern Association
of Colleges and Schools to award baccalaureate, masters, and educational
specialist degrees. Contact the Commission on Colleges at 1866 Southern
Lane, Decatur, Georgia 30033 or call 404-679-4500 for questions
about the accreditation of Converse College.
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Calculus II Content Refresher for Teachers
(MTE
503 - 3 graduate semester credits)
COURSE
SYLLABUS
CATALOG
DESCRIPTION:
MTE 503 is designed as a thorough refresher course of the Calculus
II mathematical content that conforms to the National Council
of Teachers of Mathematics (NCTM) standards for middle and secondary
education.
It
demonstrates the use of appropriate technologies and a background
in Calculus I is recommended. This course may not be applied to
existing graduate programs at Converse College.
DVDs, TEXT and MATERIALS:
Four DVDs are provided that contain the instruction for this course
and students must have access to a DVD player connected to a television
or one that installed in a PC.
CALCULUS, Graphical, Numerical, Algebraic, Finney,
Demana, Waits and Kennedy.
In addition, four Practice Problem Sets are provided on the course
web site.
GRAPHING
CALCULATOR:
The use of a graphing calculator is required. While participants
may use any graphing calculator, the instruction on the DVDs uses
the TI-83. The TI-84 is very similar and can be used as well.
Knowledge and competence for use of other graphing calculators will
be the sole responsibility of the participant.
COURSE REQUIREMENTS:
This course will be offered through Distance Education. Participating
teachers will receive four DVDs to view at their convenience, taking
up to nine months to complete all requirements. There are no scheduled
class sessions or meetings. There is an Internet web site that contains
practice problems, four quizzes - one for each DVD - and a cumulative
Final Examination.
1. The participant must view the four DVDs and supply a written
statement that this has been accomplished. (Evaluation - Statement
must be included with the End of Course packet - without it no credit
is to be awarded.)
2. Participants must complete the four Practice Problem sets that
are provided on the course web site. (Evaluation - The Practice
Sets showing student work are submitted in the End of Course packet
- without them, no credit will be awarded.)
3. Each of the four DVDs will have an accompanying quiz posted on
this web site. The participant must complete each of these quizzes
online and also submit printed copies of each quiz that shows their
work in the end of course packet. (Evaluation - Each of the four
quizzes will count 14% of the final grade.)
4. There will be a cumulative final examination. The participants
will complete the final exam in the presence of a school or district
administrator, have the administrator validate it, and then the
participant submits it in the End of Course packet. The participants
will also enter their answers to the exam online. (Evaluation –
The final examination will count 46% of the final grade.)
GRADING:
Each question, whether a quiz question or a final exam question,
will count as one point. There will be four quizzes consisting of
six questions and one cumulative final exam consisting of twenty
questions. Based on these forty-four questions, the grading scale
is listed below. No other grade is given to this course. If you
do not complete the course a grade of F is awarded.
A = 44-42 correct
C+ = 33-32 correct
A- = 41-40 correct
C = 31-30 correct
B+ = 39-38 correct C-
= 29-26 correct
B = 37-36 correct F
= 25 or less correct
B- = 35-34 correct
COURSE
TOPICS
SESSION #1
1) U-substitution
2) Integration by Parts
3) Partial Fractions; Exponential growth and decay
4) Population Growth (Logistic curve)
5) Numerical methods (Euler's model)
SESSION #2
1) Integral as an accumulator
2) Volumes
3) Other applications of integrals
SESSION #3
1) Work
2) Improper integrals
3) Sequences
4) Series
5) Convergence tests
SESSION #4
1) Special limits
2) Convergence tests (continued)
3) Alternating series
4) Taylor series
5) Power series
6) Interval of convergence
7) Error bounds
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