Knowledge of Calculus

"Candidates demonstrate a conceptual understanding of limit, continuity, differentiation, and integration and a thorough background in the techniques and application of the calculus."

Reflection on the Standard:

One of the courses I have taken to fulfill this standard is Calculus and Analytic Geometry II. This course covered the calculus of functions of one variable and the calculus of transcendental functions, integration techniques, and infinite series. In this course I gained a conceptual understanding of and procedural facility with basic calculus concepts (meeting indicator 12.1), applied concepts of function, geometry, and trigonometry in solving calculus based problems (meeting indicator 12.2), represented and solved "real-world" problems with calculus and mathematical modeling (meeting indicator 12.3), used technological tools, such as Maple, to explore and represent fundamental calculus concepts (meeting indictor 12.4), and gained knowledge of mathematicians who played a vital role in the development of calculus (meeting indicator 12.5).


To illustrate this standard, I have selected an exam from Calculus and Analytic Geometry II. Please click the artifact icon below to view this exam:

Explanation of Artifact in Relation to the Standard:

On this exam, I accurately calculated derivatives, limits, and integrals (meeting indicator 12.1) and often applied concepts of function, geometry, and trigonometry to do so (meeting indicator 12.2). I also correctly answered questions about the history of mathematics and calculus (meeting indicator 12.5).

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