Providence High School
AP CALCULUS COURSE SYLLABUS
COURSE TITLE .....AP Calculus Mathematics
TEACHER ..............Allen Messer
Email Address
Teacher Web Page
Teacher Support
(Help sessions etc.)
Richard.messer@cms.k12.nc.us
TERM .........................Fall, 2013
ROOM # .......................102
http://amesser.cmswiki.wikispaces.net
Please see me for an appointment. Generally, I am available every morning from 6:30 – 7:00 and Tuesday
Thursday afternoons from 2:30 – 3:30. Be sure to check with me, though, since I do occasionally have
meetings to attend.
AP Calculus AB/BC is taught as a year-long 4x4 class. Each period is 90 minutes. Students interested in AP Calculus
AB take the first semester portion of the course followed by periodic sessions after school for review purposes. Students
taking the second semester are expected to know the AP Calculus AB material. AP Calculus BC topics are taught during
the second semester. The students taking this portion of the class are required to enroll for the entire year. Students
enrolled for the entire year must take either the AP Calculus AB Exam or the AP Calculus BC Exam in May. Prerequisite
is Pre Calculus. Students will take the AP AB or BC Exam the first week of May. This year CMS is paying for the exam.
COURSE CURRICULUM CONTENT
The entire list of Academic, Knowledge and Skills for each of the following goals can be found at the college board website
GOALS
OBJECTIVES
(6 days) Goal 1: The learner will demonstrate knowledge of Pre-Calculus.
(9 days) Goal 2: The learner will apply the concept of limits and continuity.
(10 days) Goal 3: The learner will apply rules for differentiation to a variety of
problems.
Apply graphical, numerical, algebraic and verbal
interpretations of functions.
Discuss rate of change in linear functions. Fit
models to data.
Find limits graphically, numerically, and
analytically.
Discuss asymptotic behavior in terms of infinite
limits.
Apply the definition of continuity through the use
of limits.
Use Intermediate Value Theorem and Extreme
Value Theorem to determine continuity
Apply the various differentiation rules to
polynomial, power, rational, trigonometric and
radical functions.
Compare instantaneous and average rate of
change.
Explore the connection between derivations and
continuity.
Derivate implicitly.
AP Calculus Course Syllabus – Page 1 of 5
Providence High School
AP CALCULUS COURSE SYLLABUS
(11 days) Goal 4: The learner will sketch a curve using appropriate calculus
techniques.
Find the absolute and relative extrema of a
function.
Determine the concavity of a function.
Draw the first and second derivatives of
a function from the function’s graph and
vice versa.
Calculate velocity and acceleration.
(7 days) Goal 5: The learner will apply the concept of differentiation to
application problems.
(11 days) Goal 6: The learner will interpret definite integrals.
Find the area under the curve.
Calculate Riemann sums.
Apply the Fundamental Theorem of
Calculus.
Determine values using both integration
by substitution techniques and numerical
integration.
(17 days) Goal 7: The learner will apply differentiation and integration to
techniques to logarithmic, exponential and inverse trigonometric
functions.
Apply the various differentiation rules to
these types of problems.
Apply the various integration rules to
these types of problems.
(7 days) Goal 8: The learner will find the area between two curves, the
volume of solids, the measure of arc length and surface area using
appropriate calculus techniques.
(14 days) Goal 9 The learner will apply basic integration techniques as well
as integration by parts, trig integrals, and improper integrals.
(11 days) Goal 10:The learner will apply basic differentiation and integration
techniques to parametric, vector and polar equations.
(20 days) Goal 11:The learner will find the sum of convergent and divergent
series.
Find sums, including partial sums, of geometric,
harmonic, alternating, p-, power, Taylor and
MacLaurin series.
(20 days) Goal 12:The learner will review all materials taught in this course in
preparation for the AP exam.
AP Calculus Course Syllabus – Page 2 of 5
Providence High School
AP CALCULUS COURSE SYLLABUS
(15 days) Goal 13: The learner will explore applications of calculus in careers
and will explore formal proofs of calculus concepts.
The balance of the days will be used for Formal
Mid-term and Term Examination
The learner will apply the concept of limits and continuity.
The learner will demonstrate knowledge of Pre-Cal
INSTRUCTIONAL MATERIALS AND SUPPLIES
Published Materials
Calculus: Graphical Numerical and Algebraic
DeMana, Waits, Finney, Kenney 3rd Edition
1)
2)
3)
4)
5)
Instructional Supplies
Pencils Only
Graph Paper & Loose Leaf Paper
Graphing Calculator
3 ring binder 1 inch or larger
1 highlighter any color.
EVALUATION AND GRADING
Assignments
Class work & Homework (Informal)
Unit Tests (Formal)
Quizzes (Informal)
Grade Weights
Classroom Assignments, Homework
Quizzes( Count as 2 HW
assignments )& Labs
50%
Tests
50%
A:
B:
C:
D:
F:
Grading Scale
93 and above
85 – 92
77– 84
70 – 76
69 or below
OTHER INFORMATION
Expectations for Academic Success
1) Complete work prior to class
2) You are expected to bring a graphing calculator
capable of operations on matrices every day.
3) Get a study group. Learn to work together.
4) Arrangement to make up work due to absence should
be completed within 5 school days. Failure to make
up work will result in a zero. A deduction of 15
points per day for late assignments.
5) DO NOT get behind
6) Ask Questions, Ask Questions, Ask Questions.
Additional Requirements/Resources

Utilize before and after school tutoring times

Attempt all homework problems and review questions.
 Utilize study guides you are given to help you
summarize material.
AP Calculus Course Syllabus – Page 3 of 5
Providence High School
AP CALCULUS COURSE SYLLABUS
Test/Quiz Environment: To ensure a secure, quality testing environment for all students,
communication of any form including but not limited to talking, sharing calculators, using cell
phone or any electronic device will result in a grade of zero. Additionally, each violation of this
policy will be referred to administration.
The syllabus may be updated as needed throughout the semester.
_________________________________________________________________________________________
AP Calculus Course Syllabus – Page 4 of 5
Providence High School
AP CALCULUS COURSE SYLLABUS
Please fill out this portion and return to me
I have read the information in the course prospectus. The following signature indicates my
acceptance and support of that information.
Student’s name: _______________________________________
Student’s signature: ____________________________________
Parent/guardian’s signature: _____________________________
Parent’s email address: ___________________________
Please make sure that there is an updated email address for you and your child in power school.
That is how I will contact you most of the time with needed information.
Phone number where parent can be reached. (Please indicate best times to reach you)
Home: _______________________ from: ___________________________
Work: _______________________ from: ___________________________
Please fill out this portion and return to me
I have read the information in the course prospectus. The following signature indicates my
acceptance and support of that information.
Student’s name: _______________________________________
Student’s signature: ____________________________________
Parent/guardian’s signature: _____________________________
Parent’s email address: ___________________________
Please make sure that there is an updated email address for you and your child in power school.
That is how I will contact you most of the time with needed information.
Phone number where parent can be reached. (Please indicate best times to reach you)
Home: _______________________ from: ___________________________
Work: _______________________ from: ___________________________
AP Calculus Course Syllabus – Page 5 of 5