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AP Calculus Curriculum
Why AP Calculus Course?
A typical calculus course enables students to pursue higher mathematics
in the university level with ease. It exposes the students to a wider
area of mathematics in general and thereby keeping them in touch with
other branches of math like Trigonometry, Analytical Geometry and
Algebra. The AP calculus course without any doubt is an added advantage
even for life science students, and students taking education degree at the
university level. It is better to take it at the school level since it
is not a difficult course to complete. The AP Calculus exam is the most
popular of all AP exams. About 5-6% of all students take the AP
Calculus exam every year. This year the AP Calculus exams (both AB
& BC) will be held on May 5, 2010.
Who can take up an AP Calculus Course AB and BC?
A student with a prior knowledge of functions , (types, domain, ranges,
graphs) can ease into the course without much fuss. But it is not
a prerequisite as the topic on function can be easily covered
in few classes. However a student must be well versed with algebra,
trigonometry, and coordinate geometry. Students get to know the process
of limits, differentiation, integration. More importantly they learn
the real life applications of the above concepts which is what makes
the topic more interesting. The use of a graphing calculator in AP
Calculus is considered an integral part of the course. Students learn
the usage of the latest graphing calculator like TI 84 and TI 89 while
using it in studying of these concepts
The BC course is an extended version of AB course which requires that a student is
proficient in algebra and particularly inequalities.
To get more information on the Advanced Placement exams: www.collegeboard.com
What does a student get in eTutorWorld?
Students get to learn the trickier part of function theory using their math
skills and also the latest graphing calculators such as TI 84 and TI
89, the rules of differentiation, the techniques of integration and
To get more information on the Advanced Placement exams:
Currently at eTutorWorld we offer tutoring for the AP Calculus course.
Other Advanced Placement courses like AP Statistics, AP Physics and AP
Chemistry will soon follow.
Functions, Graphs, and limits
- Analyze the graphs of functions and relations
- Evaluate the limits of functions (including one-sided limits);
- Analyze asymptotic and unbounded behavior;
- Understand continuity as a property of functions;
- Analyze parametric, polar, and vector functions.
| Derivatives |
- Develop the concepts of the derivative
- Have an understanding of the derivative at a point;
- Investigate the derivative as a function;
- Explore second derivatives;
- Apply derivatives;
- Compute derivatives.
- Discover the interpretations and the properties of the definite integral
- Apply integrals
- Discover the Fundamental Theorem of Calculus
- Explore techniques of antidifferentiation
- Apply antiderivatives
- Compute numerical approximations to definite integrals.
| Polynomial Approximations and Series|
- Taylor Series
- Develop the concepts of series
- Explore series of constants.