![]() ![]() ![]() Parametric Equations and Polar Coordinates 1.1. If available, students may purchase a student solutions manual or make use of the interactive software and videotapes located in the math laboratory. Calculus Volume 3 (2 reviews) Gilbert Strang, Massachusetts Institute of Technology Copyright Year: 2016 ISBN 13: 9781938168079 Publisher: OpenStax Language: English Formats Available Online PDF Conditions of Use Attribution-NonCommercial-ShareAlike Table of Contents 1. A calculator may or may not be recommended. Calculus III Module 1: Analytical Geometry, the Gradient Vector and Applications. The Fundamental Theorem of Line Integrals, Green’s Theorem, Stokes’ Theorem and the Divergence TheoremĮach student will be required to have the textbook adopted by the Mathematics Department at the specific campus.Multiple integration in various coordinate systems.Differential calculus of functions of more than one variable: limits, continuity, partial derivatives differentials, tangent planes, the chain rule, directional derivatives and gradients.Vector-valued functions, parametric equations, and curves in two and three dimensional space.Three dimensional analytic geometry: three dimensional coordinate systems, lines, planes, and quadric surfaces.Translate between double/triple integrals and line/surface integrals via Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem.Define and evaluate line integrals and surface integrals.Maximize functions on compact domains via derivative tests and Lagrange multipliers.Evaluate double and triple integrals to determine areas of regions and volumes of solids in various coordinate systems. ![]() Compute partial derivatives, total differentials, directional derivatives and gradients.Find equations of lines and planes in three dimensional space, including tangent planes and normal lines to surfaces. Includes the study of the basic concepts of calculus applied to functions of more than one variable such as 3-dimensional coordinate systems and graphs.Prepare graphs in three dimensional Cartesian, cylindrical and spherical coordinate systems. 5 Calculus 3 Lecture 11.5: Lines and Planes in 3-D Professor Leonard 547K views 7 years ago 6 Calculus 3 Lecture 11.6: Cylinders and Surfaces in 3-D Professor Leonard 352K views.Use vector-valued functions to describe curves in two and three dimensional space and to find tangents, arc length and curvature.Upon successful completion of the course, the student will: Topics include quadric surfaces, calculus of vector valued functions, calculus of multivariate functions, 3-dimensional analytic geometry and vector analysis. Tweet this Page (opens a new window) Add to Portfolio (opens a new window)Ī continuation of MAT 202. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |