Ap calculus bc textbook free#
Students have the option to chat with a tutor during hours posted at the site.ĬalcView | a free website containing video solutions of selected exercises in the text. See the Calculators | Microscopessection of our FAQ.ĪP Classroom | a free databank of past exam questionsĬalcChat | a free website containing step-by-step solutions to all odd-numbered exercises in the text.
Yen encourages the TI-Nspire CAS for its ease of use and capabilities. If you are looking to purchase your first college-level graphing calculator, Dr.
Whatever you have used for high school math is fine. Optional: a hardback copy of the Calculus for AP textbook can be purchased on own or borrowed through Blue Tent OnLoan. Includes:Įbook of Calculus for AP, 2nd edition, LarsonĬengage text-aligned interactive resources
Required: Digital Resources $60 purchased through Blue Tent. See a Zoom Demo : Shin Yen demonstrates her instructional approach and previews some of the technology resources that she and students will be using in the class. Students must be familiar with all advanced topics in algebra, trigonometry, analytic geometry, elementary functions: linear, polynomial, rational, transcendental (trigonometric, exponential and logarithmic), inverse functions, and piece-wise defined functions. If you did not take Trigonometry/Precalculus, or have only taken Integrated Math 1,2,3, a Precalculus class is strongly recommended before you take AP Calculus BC. Students must have completed the equivalent of the high school math sequence: Algebra 1, Geometry, Algebra 2/Trigonometry, Precalculus, or Integrated Math 1,2,3 Honors. Calculus BC also extends all the content learned in Calculus AB to different types of equations (polar, parametric and vector-valued). The main components of Calculus BC are advanced integration techniques, sequences and series, and polynomial approximations.
Ap calculus bc textbook series#
The generalization to Taylor and Maclaurin series for approximating common functions will also be studied. Subsequently, students will learn to use power series to approximate an arbitrary function near a specific value. Series: Students will become familiar with various methods for determining convergence and divergence of a series. The relationship between integration and differentiation as expressed in the Fundamental Theorem of Calculus will also be emphasized. Integrals and the Fundamental Theorem of Calculus: Students will gain a firm understanding of area, volume and motion applications of integrals as well as the use of the definite integral as an accumulation function. Students will also become familiar with a variety of real-world applications of the derivative, including related rates, optimization, and growth and decay models. Limits: Students will gain a solid, intuitive understanding of limits and be able to compute one-sided limits, limits at infinity, infinity limits and the limit of a sequence.ĭerivatives: Students will learn to use different definitions of the derivative and be able to apply derivative rules and properties. The course is organized around the following foundational concepts of calculus: Students will learn problem-solving techniques that will maximize computational efficiency while minimizing computational errors. We will use graphing calculators and Desmos (an online graphing program) towards this end. Students will learn to use technology to help experiment, solve problems, interpret results and support conclusions. To offer a multifaceted approach to calculus: students will learn to express concepts, results and problems graphically, numerically, analytically and verbally.
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