Red Mountain High School MA51W-AP Calculus BC
Fall/Spring 2014-2015
M-F 1st period
MCC sections: Calculus with Analytical Geometry I and II
Sem. 1: MAT221Sem. 2: MAT231Instructor/Room:
Office telephone number:
e-mail address:
Mrs. Oney /#806
308-5606
joney@mpsaz.org
Textbook:
Single Variable CALCULUS, Early Transcendentals by Stewart, 6th edition
Prerequisites: “C” or better in MAT 220(Calculus I) or “B or better” in Pre Calculus.
Credits: 1 high school credit, 8 dual enrollment credits or up to 8 college credits
depending on AP test score - last year 18 out of 20 Calculus BC students that took the AP
Calculus BC test received college credits.
Course Description:
Cover all Calculus I topics including: topics from analytic geometry with special
emphasis on inequalities and absolute value expressions, limits, continuity, the
fundamental principles and formulas for differential and integral calculus along
with their applications to geometry and mechanics, the mean value theorem, and
the fundamental theorem of calculus, methods of integration, applications of calculus,
elements of analytical geometry, improper integrals, sequences and series. Parametric,
polar and vector functions and their applications will be covered. All topics will be
covered analytically and graphically. A TI-84 will be used in class. One of the major
goals is for the students to learn how to use precise language to describe these concepts
and the relationships between ideas.
Graphing Calculators:
Students are required to use a graphing calculator. All tests will be part calculator
and part no calculator. Every topic will be presented with and without graphing
calculator. I will be using a TI-84 and the TI Nspire CX CAS. The technological
capabilities of these calculators will allow us to study graphs in more depth and program
routines that offer greater enlightenment of calculus topics.
Course Objectives:
Solve problems verbally, analytically and geometrically.
1.
2.
3.
4.
5.
6.
Identify and graph various functions.
Define and evaluate limits.
Define and identify continuity.
Apply limits to graphing techniques.
Define the derivative.
Use the formulas for differentiation.
7. Application of the derivative.
8. Evaluate the definite integral.
9. Use of the definite integral in applications.
10. Perform indefinite integration.
11. Define and apply the natural logarithmic function.
12. Discuss convergence or divergence of the improper integral.
13. Extend the operations of differentiation and integration to functions and their
inverses.
14. Use L’Hospital’s rule to evaluate limits having indeterminate form.
15. Use algebraic and numerical techniques for evaluating integrals.
16. Use integration in applied problems taken from the physical and social sciences.
17. Determine convergence or divergence of an improper integral.
18. Analyze curves in the plane defined by parametric, polar and vector equations.
19. Determine the convergence or divergence of sequences and series having
numerical terms.
20. Find a power series representation for a given function and determine its
domain.
21. Extend the operations of differentiation and integration to functions defined as
power series.
22. Find a polynomial which approximates a given function to a specified degree of
accuracy on a specified interval.
Attendance: Attendance will be taken daily and absences may affect your grade. We
will be doing class/group activities that require some in class work. You may be
withdrawn (from MCC) for non-attendance if you accumulate more than 10 absences per
semester. Prior notification due to special circumstances will not be counted for
withdrawal purposes. Students will be given one day for each day they are absent to
make-up the work they have missed. Students absent due to field trips, assemblies, or
other school functions are expected to turn in their assignments on time in accordance
with the Red Mountain School Guidelines. Credit and make-ups will only be given for
excused absences. Sweep is NOT an excused absence.
Evaluation Procedures: Homework will be assigned daily and must be turned in on
time for full credit. Homework will be graded for both completion and accuracy, as it is
the students’ responsibility to check for accuracy and comprehension on the
assignments. Students will participate in class discussions and investigations, group
work, labs, writings, and other math activities throughout the year. This will comprise
10% of each quarter. There will be approximately 2 to 3 tests per quarter that will
comprise the other 90%.
NOTE: If you are at school the day of a test, but are absent for Calculus, you will
automatically receive a zero for the test unless you see me the same day and
communicate the reason for your absence.
Calculus is a weighted course and the grading scale is as follows:
87-100%
A
74-86.9%
B
61-73.9%
C
48-60.9%
D
Below 48%
F
1st semester grade will be calculated as follows: 40% for each quarter and 20% for the
semester final exam. 2nd semester grade will be the average of the two quarters if
taking the AP test.
Materials Needed: Students are required to have a graphing calculator. The
technological capabilities of these calculators allow us to study concepts in more depth.
Also the problems in the text often require the use of a graphing utility. Students will
also need a folder and paper to take notes, record examples, and complete homework.
Behavior Guidelines: All parties involved in any cheating will receive a zero on the test.
Cell phones and any other communication devices are not allowed on in class. Be
courteous! Be kind!!
Civility Statement: College policy prohibits any conduct which is harmful, obstructive,
disruptive to, or interferes with the educational process. Therefore, the faculty of MCC
insist that the language of any communication between students and instructors or
among students meeting electronically or in person at any MCC site shall maintain the
level of formality appropriate to any college teaching/learning situation. Excessively
informal, rude, or insulting language will not be tolerated. Students who engage in such
behavior will be withdrawn from the course.
Special Message: Calculus is a special college level learning experience that
challenges, stimulates and demands more effort from the students than any other high
school math course. The advantage of taking college level courses in high school is the
opportunity to interact with other students and with the teacher in a small personal class.
It is assumed that students are willing to extend the consistent effort necessary to
succeed in this course. Math help outside of class is available before school, at the
beginning of lunch, and after school. Please make an appointment with me, leave a
voicemail message, email, or feel free to stop by as you need assistance.
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By printing and signing below, you are indicating you have read the course syllabus and
agree to course guidelines and rules for Red Mountain High School and Mesa
Community College (if applicable).
MA51W
MAT221/231
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