﻿ Calc 3

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 Math 2511: Calculus 3 (Multivariable Calculus) Topics covered: Vectors, dot and cross products, surfaces, differentiation of functions in several variables, arc length and curvature, partial derivatives, differentials, tangent planes and normal lines, extremas, LaGrange multipliers, differential equations, multiple integration, surface area, vector fields, Green's theorem, Divergence theorem, Stoke's Theorem. Prerequisite: MATH 1401/1501 & 1411/1511 (or approval from chair)   Software: We will make use of the DyKnow client software. Please download and install that software. General Information (Practice) Exams Final Exam (pdf) take-home exam Exam 3 Practice (with answers) Exam 2 Practice(with answers) - warning: large file Supplement (with answers) Exam 1 Practice Resources Maple and other Assignments Review of Lines and Planes (incl "quiz") Lectures Final review 1 (pdf)   Exam 3 Practice (with answers) 30: Open this Dyknow or PDF file. Each panel is covered by its own video filed - check'em out: a) Stokes reduces to Green b) Estimating Flux c) Sinks and Sources d) Flux Example e) Big Three Overview f) Big Three Examples 28: Gauss (pdf) 27: Flux (pdf) 26: Surface integral (pdf) 25: Green's Theorem (pdf) 24: Fund Thm (pdf) 23: Line int, Work (pdf) 21: Vector fields, curl, div (pdf) XX: Exam 2 Practice (with answers) - warning: large file Supplement (with answers) 20: Moments, Center of Grav (pdf) 19: More integration (pdf) 18: Integration (pdf) 17: Abs extrema (pdf) 16: Local extrema (pdf) 15: Direct. Deriv (pdf) 14: Partial derivs (pdf) 13: Functions and limits (pdf) 12: Motion in 3D (pdf) 11: Normal and Binormal (snowday) 10: Curvature (pdf) 09: Unit tanget (pdf) 08: Spacecurves (pdf) 07: Distance (pdf) 06: Planes (pdf) 05: Lines (pdf) 04: Cross product (pdf) 03: Dot product (pdf) 02: Vectors (pdf) 01: 3D Coordinate System (pdf) Assignments Exam 3 Practice 30: Green, Stokes, and Gauss 25: Green's Theorem 24: Fund Thm 22: Contour int., work 21: Vector fields, curl, div 17-20: Exam 2 Practice 16: Local extrema 15: Direct. Derivs 14: Partial derivs 13: Function and limits 12: Motion in 3D 11: Exam 1 Practice 10: Curvature 09: Unit tangent 08: Spacecurves (with Valentine's Special) 07: Distance 06: Planes 05: Lines and Quiz 02 (pdf) 03-04: Dot and Cross product 02: Vectors, sheets, etc Install DyKnow, experiment with Wolfram Alpha (take a derivative, find an integral, and take a limit)

Bert G. Wachsmut