SAT PREP CENTER
Calculus AB is a course in single-variable calculus that includes techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities, perhaps to a year of calculus at some. Algebraic, numerical, and graphical representations are emphasized throughout the course.
Students taking this course have completed a solid foundation of mathematical courses that include algebra, geometry, trigonometry, analytic geometry, and elementary functions. Students are familiar with the properties, graphs, algebra, and language of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piece-wise defined functions. Students will normally have taken Algebra, Algebra II, Trigonometry, and Pre-Calculus before taking AP Calculus. Attitude prerequisites include a willingness to work both in and out of class, a willingness to collaborate with classmates to foster mutual understanding, and a sincere intent to place out of the first semester of college calculus rather than repeat it.
This summer, students will experience a complete overview of the AP Calculus AB curriculum with emphasis on appropriate use of graphing calculator, content and pacing, and global review for the AP exam. We will also review content and pedagogy in the following topics: related rates, area/volume, differential equations/slope fields, the Fundamental Theorem of Calculus, implicit differentiation, L’Hopital’s Rule and other topics. A special focus on assessment and motivation will help students incorporate new strategies to build a successful AP Calculus program. We will examine changes to the AP Calc AB starting in 2016. Students are asked to bring a graphing calculator.
July 24, 2018-2019 Peng L.
Calculus AB is a course in single-variable calculus that includes techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities, perhaps to a year of calculus at some. Algebraic, numerical, and graphical representations are emphasized throughout the course.
Students taking this course have completed a solid foundation of mathematical courses that include algebra, geometry, trigonometry, analytic geometry, and elementary functions. Students are familiar with the properties, graphs, algebra, and language of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piece-wise defined functions. S will normally have taken Algebra, Algebra II, Trigonometry, and Pre-Calculus before taking AP Calculus. Attitude prerequisites include a willingness to work both in and out of class, a willingness to collaborate with classmates to foster mutual understanding, and a sincere intent to place out of the first semester of college calculus rather than repeat it.
This course is designed for studentss who have already learned the AB curriculum and are comfortable with the AP program. The AB curriculum will be reviewed, with an emphasis on the topics the students desire. We will look at proofs of the basic theorems of AB calculus, as well as more in depth explorations of differential and integral calculus applications. In addition, we will look at first semester college calculus topics that are not part of the AB curriculum.
These sessions will cover all topics on the Calculus AB syllabus which includes limits and continuity, definition of the derivative, applications of the derivative, rate of change, Mean Value Theorem, Riemann sums, the definite integral by geometric and analytic means, average value, anti-differentiation,, applications of integration, the Fundamental Theorem of Calculus, slope fields, applications of anti-differentiation and separable differential equations.
Sample problems from previous AP exams will be given and solved together to develop an understanding of the material and the College Board philosophy. Students will also receive a variety of classroom tested activities and calculator programs to enhance practicing. We will discuss ways to prepare students for the AP exam. Students will also get several current textbooks and resource materials. Instructors will be sharing their extensive files.
Aug 21, 2017-2018 Peng L.
This AP Calculus BC course covers topics in single variable differential and integral calculus typically found in a first-year college Calculus I and Calculus II two semester course sequence. Students who have successfully completed AP Calculus AB should enroll in AP Calculus C.
While taking the Advanced Placement (AP) Calculus BC exam is not required, this course prepares students to succeed on the AP Calculus BC exam and subsequent courses that draw on material from this course.
Students will learn single variable calculus by actively engaging with the lectures, interacting with online resources, and by attempting many practice problems through homework and quizzes.Students will be solving AP free response and multiple choice questions, as well as learning how the free response questions are scored. We will discuss exam strategies and the recent curriculum re-write will be addressed, as well as any other issues that the students want discussed.
Please note: Schedule is subject to change without notice. Please check online for updated information and details.