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course code: FLVS_APCAB
course name: AP Calculus AB Online
course length: 2 semesters
grade: 10 - 13
partner: FLVS - Florida Virtual School Global
AP Calculus AB includes techniques and applications of the derivative, the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities.
This online course offers a combination of assessment and instruction in an online environment containing but not limited to the areas of functions, functions and limits, differential calculus, and integral calculus. The course applies differential calculus to finding the slope of a curve, solving problems with related rates, calculating motion properties of moving particles, etc. It then applies integral calculus to finding the areas of irregular regions in a plane, volumes of rotation by various methods, and other scientific applications.
The purpose of this course is to provide students with a deep understanding of the concepts of calculus in order to prepare them for the AP exam and for further college and university calculus courses.
Study materials (e-books, Discovery, Education, etc. ...) for FLVS Global courses are INCLUDED in the price of the course.
Calculus je důležitým a nezbytným nástrojem nejen pro matematiky. Bez porozumění funkcím a jejich vlastnostem, diferenciálnímu a integrálnímu počtu se jen těžko studuje také fyzika, některé části chemie, ekonomie, ale také třeba biologie. Calculus je tak skutečně základním stavebním kamenem pro vybudování dalších, nejen matematických disciplín. V našem kurzu provedeme studenta světem funkcí a jejich vlastností, limitami, derivacemi i jejich aplikacemi. V kurzu jsou obsažena také témata, která se běžně nevyučují na našich středních školách, např. diferenciální rovnice. Kurz AP Calculus AB je přípravou na AP Exam. Studenti se seznámí s konceptem AP exam a nacvičí si typové úlohy. Naši absolventi jsou na tuto náročnou zkoušku výborně připraveni.
RNDr. Ing. Jana Kalová, PhD., instruktorka CTM Online kurzů
Calculus is an important and essential tool not just for mathematicians. Without understanding of functions and their properties, derivatives and integrals, it is very difficult to conduct further studies in Physics, certain parts of Chemistry, Economy or even Biology. Calculus is therefore truly the foundation for developing other, not only mathematical disciplines. In this course we will guide the student through the world of functions and their properties, limits, derivatives and their applications. The course also contains topics, which are not commonly parts of the Czech high school curriculum, such as differential equations. The AP Calculus AB course is also a preparation for an AP exam. Students will be introduced to the AP exam concept and they will practice relevant types of questions. Our alumni will become thoroughly prepared for this challenging examination.
RNDr. Ing. Jana Kalová, PhD., CTM Online instructor
Study Scope and Sequence
Module One: Functions
Module Two: Limits and Continuity
Module Three: Differentiation
Module Four:Applications of Derivatives
Module Five: Integration
Module Six: Applications of Integrals
Module Seven: Differential Equations and More Riemann Sums
Module Eight: Supplemental Topics
Module Nine: Exam Preparation
For this course you need to secure the following textbook and materials (if lab kit is listed, check first the possibility of using your school lab prior to buying the lab kit):
| Description | Number | Type | Source |
|---|---|---|---|
| Study Forge | Software | included in the price of the course | |
| Graphing Calculator | Tool | NOT included in the price of the course | |
course fee: 588,- EUR / 14 340,- Kč
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