Math 3C — Exam #1 Study GuideLaney College, Spring 2011Fred BourgoinThis exam will cover chapters 12 and 13. I have listed all of the topics you should befamiliar with, along with some suggested review problems.Chapter 12: Functions of Several Variables•Be familiar withR3and the Cartesian coordinate system.•Find the distance between two points.•Graph basic functions of two variables, perhaps using cross-sections.•Construct a contour diagram for a function of two variables.•Read a contour diagram.•Determine whether a function is linear from a table of values or from a contourdiagram.•Find an equation for a linear function from a table of values or from a contourdiagram.•Sketch a level curve of a function of three variables.•Express a function of two variables as a level curve of a function of three variables,and vice-versa.•There will be no questions about limits and continuity.•Suggested review problems:#1–20, 23–35 on pp. 643–5 in the 4th edition.#1–21, 24, 28, 31, 33–39 on pp. 678–81 in the 5th edition.
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