AP CALCULUS BC H - St. Joseph High School

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Transcript AP CALCULUS BC H - St. Joseph High School

• Education
– SJHS ’86, Purdue ’89, IUSB ’99
• Contact
– [email protected]
– 289-TREK
• Favorite Quote
– “Why, sometimes I’ve believed as many as six impossible
things before breakfast!”
Through the Looking-Glass
• Every member of this class is responsible for
maintaining a positive classroom environment.
• Attendance
– Homework and quizzes during absences
automatically become optional
– For work other than homework and quizzes, planned
absences get no extension, and unplanned absences get
extension equal to number of days absent
• Tardiness
– “On time” includes not needing to leave after arrival
• Consequences
– Warning, AM/PM, Detention (resets every quarter)
Course Description
This course follows the content established by the
College Board. Topics include: (1) functions, graphs, and limits:
analysis of graphs, limits of functions, asymptotic and unbounded
behavior, continuity as a property of functions, and parametric,
polar, and vector functions, (2) derivatives: concept of the
derivative, derivative at a point, derivative as a function, second
derivatives, applications of derivatives and computation of
derivatives, (3) integrals: interpretations and properties of definite
integrals, applications of integrals, fundamental theorem of
calculus, techniques and applications of antidifferentiation, and
numerical approximations to definite integrals, and (4) polynomial
approximations and series: concept of series, series of constants,
and Taylor series.
Course Outcomes
• Students will work with functions represented
graphically, numerically, analytically, or verbally, and they will
understand the connections among these representations.
• Students will understand the derivative as a rate of change and
local linear approximation and will use them to solve problems.
• Students will understand the definite integral both as a limit of
Riemann sums and as the net accumulation of change and will
use them to solve problems.
• Students will understand the relationship between the
derivative and the definite integral as expressed in both parts
of the Fundamental Theorem of Calculus.
• Students will model physical situations using calculus.
Course Structure
• Materials
– Calculus: Early Transcendental Functions, Smith & Minton
– Calculator (TI-89 recommended, TI-83+ or TI-84+ allowed)
• AP requires first ten chapters, so about one every three weeks
• Grading
– Each chapter will consist of several optional homeworks (5
points apiece), a quiz (10), a practice AP exam problem (25),
a test (100), and a journal (0). There may be additional extra
credit opportunities in the form of contests, and there will
be a major project after the AP exam.
– Most components will use the standard SJHS grading scale
(A+ ≥ 99, A ≥ 95, A- ≥ 93, B+ ≥ 91, B ≥ 87, B- ≥ 85,
C+ ≥ 83, C ≥ 79, C- ≥ 77, D+ ≥ 75, D ≥ 72, D- ≥ 70)
Strategies for Success in Math
• Be active in studying, not passive.
Take complete notes; participate in class; keep
up with homework; form a study group.
• Be specific in asking questions, not vague.
The best response you can expect in reply to a comment like “I
don’t understand this section” is a brief review of the section
that will likely overlook the particular concept that isn’t
• Be resourceful in doing problems, not conventional.
When you cannot solve a problem, try another tactic: work
backward, make a table, consider a special case, draw a picture,
or solve a simpler related problem.