Objective: To help the student understand more fully the concept of a derivative, we re-introduce the derivative: the instantaneous velocity of a position function. Here the interplay between domain and range are explored so that the student has not only a conceptual understanding of the symbols, but understands how to construct a proof. Objective: To more formally introduce the student to the concept of a limit of a function. Additionally we will make use of the Princeton Review Cracking the AP Calculuspreparation book. Our textbook is Calculus: One Variable 10 thed., Salas, Hille, Etgen. Please consult with the instructor prior to purchasing a different machine. We will use the TI-84 plus in class for overhead presentations, but many others are suitable. Students are required to obtain (whether by purchase or borrow) a graphing calculator. Additionally there will be after-school reviews. We will have mini-mockAP exams daily in the final weeks before the real thing – seven multiple choice questions in 15 minutes followed by an immediate discussion of the solutions. There are typically six (6) full-period exams per semester (three per quarter) and a two (2)-hour midyear and Final exam.Īs we approach the May AP exam date, our classes will increasingly concentrate on review of the material for the exam. Quizes are given without warning but usually weekly and make-up 20% of the grade. Homework is given daily and comprises 20% of the overall grade. Interspersed throughout will be review of and further development of calculus concepts already introduced in Calculus AB as well as student activities using Matlab and Mathematica on machines in the Computer Lab. The time allocation for these blocks is as follows: Approximately three (3) weeks are spent on limit theory, five (5) weeks on Differential Calculus and eight (8) weeks on Integration and six (6) weeks on series with four (4) weeks remaining for special topics. The course can be broken down into four (4) basic segments of unequal lengths: Limit theory, Differential Calculus and Integral Calculus, Series. Once the material for the BC exam is covered, additional topics in Linear Algebra, Differential Equations, Complex Analysis and Dynamical Systems are covered in small blocks. Here we go into more depth topics that were covered in AP Calculus (AB) and introduce new concepts to complete what is taught in one year at the university level. Math 140 -141 at the University of Maryland). two semesters) in calculus given at an engineering school (e.g. When successfully completed, this course should replace a one-year course (i.e. The course AP Calculus (BC) is a one year course which serves to teach the student calculus at the university level while at the same time preparing him for the AP exam given by the College Board in May.
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