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BC Calculus Syllabus (AKS) Fall

# BC Calculus Syllabus (AKS) Fall - Course BC Calculus First...

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Course: BC Calculus First Semester Text: Calculus: Graphical, Numerical, Algebraic , Scott Foresman/Addison Wesley Cost: \$61.47 Prerequisite: Precalculus Curricular goals interwoven throughout the mathematics program are that students will: learn to communicate mathematically (QCC) learn to use mathematics in their daily lives (QCC) become proficient with appropriate computational tools and techniques (QCC) learn to reason mathematically (QCC) become mathematical problem solvers (QCC) These goals will provide the direction for assessment and instruction. Attainment of these goals is facilitated by the students’ demonstration of the following Academic Knowledge and Skills (AKS). Chapter 2 Limits and Continuity (pp. 54 – 93) (6 days) Limits calculated algebraically. Limits estimated from graphs or tables of data. Asymptotes understood in terms of graphical behavior. Asymptotic behavior described in terms of limits involving infinity. Relative magnitudes of functions and their rates of change compared. Continuity understood in terms of limits. Graphs of continuous functions understood geometrically (Intermediate Value Theorem and Extreme Value Theorem). Derivative presented geometrically, numerically, and analytically. Derivative interpreted as an instantaneous rate of change. Slope of a curve at a point.

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