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Exam Preparation: Topics Covered in Chapters 5 and 6 - Prof. Charles Buchwald, Exams of Analytical Geometry and Calculus

Sierra College Analytical Geometry and Calculus

Prof. Charles Buchwald

An overview of the key topics to be studied for exam #1, focusing on chapters 5 and 6. Topics include the definition and evaluation of definite integrals, the fundamental theorem of calculus, area between curves, average value of a function, and applications of integration. Students are encouraged to review lecture notes, homework exercises, and textbook sections.

Typology: Exams

Pre 2010

Uploaded on 07/30/2009

koofers-user-aei 🇺🇸

10 documents

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Download Exam Preparation: Topics Covered in Chapters 5 and 6 - Prof. Charles Buchwald and more Exams Analytical Geometry and Calculus in PDF only on Docsity! Exam #1 Below are some topics to help guide your studying, but this list is not everything. You should study lecture notes, homework exercises, and review sections in the text. The test covers Chapters 5 and 6. Good Luck and Good Studying… • Definition of the Definite Integral – (The limit of a Reimann Sum) o Rectangles, rectangles, and more rectangles o Etc… • Evaluating Integrals o Algebraic or trigonometric simplification o U-substitution (definite and indefinite) o Interpreted as area o Etc… • Fundamental Theorem of Calculus (Parts I and II) • Area under a curve and area between curves • Average Value of a Function • Volumes o Solids of revolution (disk, washer, and shell methods) o Object Slicing (theoretical solids) o Etc… • Applications of Integration o Net Area o Displacement versus Distance o Work o Etc…

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