BENJAMIN DILLON Biography • 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 BENJAMIN DILLON Policies • 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) AP CALCULUS BC H 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. AP CALCULUS BC H 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. AP CALCULUS BC H 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) SAINT JOSEPH’S HS 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 understood. • 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.