11/23/2023 0 Comments Calculus threeThis software is available in the classrooms and in the Learning Labs. You will be required to use Mathematica software for the course you may choose to purchase this (there is a “student edition” and various time-limited versions available at a reduced price), but you are not required to do so. Mathematica software is available for student use. Technology required: The use of calculators or computers in order to perform routine computations is encouraged in order to give students more time on abstract concepts. Optional: Student Solutions Manual, Single Variable by Jeffrey A. Students who will go on to Calculus III will need the full version. Either may be used for Calculus I and II. The text is sold in a full version and a shortened version, the “Single Variable” version. Text: Calculus: Concepts and Contexts, 4th ed., by James Stewart, Brooks/Cole 2010. Therefore, in this course we introduce: (i) several methods for interpreting graphs of multivariable functions (ii) properties of vectors (iii) differentiation and integration of multivariable functions (iv) parametric equations of curves in two and three dimensions (v) a mathematical description of motion in space A primary goal of Calculus III is to extend these ideas to three dimensions and to other coordinate systems. Instructional Methodology: This course is taught in the classroom primarily as a lecture/discussion course.Ĭourse Rationale: The first two semesters of the calculus sequence dealt with material in two-dimensional rectangular Cartesian coordinates. the sine and cosine functions numerical integration and applications of the integral. Topics include polar coordinates and polar curves vectors and analytical geometry in three dimensions vector-valued functions and curvature components of acceleration functions of several variables limits and continuity in three-space partial and directional derivatives gradients, tangent planes, and extreme of functions of two variables multiple integrals in rectangular, polar, spherical, and cylindrical coordinates applications of multiple integrals to area, volume, moments, centroids, and surface area. If you have any questions about your preparation for the course, please come and talk to me about it.Ĭourse Description: MATH 2415 CALCULUS III (4-4-0). If I feel you are not prepared for this course, I may choose to withdraw you. Please make sure you have the necessary prerequisites for this course: MATH 2414 with a C or better or its equivalent.
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