﻿ Calc 3

Home -> Teaching -> Math 2411/2511 -> Fall 2013

 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 (take-home)   Exam Final Practice Exam 3 Practice (with ?) Exam 2 Practice -> answers 1 (large file, be patient) -> answers 2 Exam 1 Practice (with answers) Resources Maple Assignments Plots, derivs, and Extrema [ pdf ] Lectures 35: Stoke's Thm [ dyn | pdf ] 34: Flux [ dyn | pdf ] 33: Review [ dyn | pdf ] 31: Surface Int [ dyn | pdf ] 30: Green's Thm [ dyn | pdf ] 29: Fund. Thm [ dyn | pdf ] 28: From Curl to Work [ dyn | pdf ] 27: Work integral [ dyn | pdf ] 26: Conservative fields [ dyn | pdf ] 25: Vector fields [ dyn | pdf ] 24: Applications of int [ dyn | pdf ] 21: Polar coordinates [ dyn | pdf ] 20: More integration [ dyn | pdf ] 19: Integration [ dyn | pdf ] 18: Abs Extrema [ dyn | pdf ] 17: Local extrema [ dyn | pdf ] 16: Gradient [ dyn | pdf ] 15: Chain rule [ dyn | pdf ] 14: Partial derivatives [ dyn | pdf ] 13: Functions and limit [ dyn | pdf ] 12: Motion in 3D [ dyn | pdf ] 11: Curvature [ dyn | pdf ] 10: Tangents and normals [ dyn | pdf ] 09: Space curves [ dyn | pdf ] 08: Distances [ dyn | pdf ] 07: Planes [ dyn | pdf ] 06: Lines etc [ dyn | pdf ] 05: Cross product [ dyn | pdf ] 04: dot product [ dyn | pdf ] 03: HW review [ dyn | pdf ] 02: Points & Vectors [ dyn | pdf ] 01: Intro [ dyn | pdf ] Assignments Exam Final Practice 34: Flux and Divergence 33: Practice Exam 3 30: Green's Thm [ pdf ] 29: Fund. Thm [ pdf ] 27: Work Integral [ pdf ] 26: Conservative fields [ pdf ] 25: Curl and Div [ pdf ] 24: Applications of int [ pdf ] 19: Integration [ pdf ] 18: abs extrema [ pdf ] 17: local extrema [ pdf ] 16: Gradient [ pdf ] 15: Chain rule [pdf ] 13: Partial derivatives [ pdf ] 12: Functions [ pdf ] 11: Exam 1 Practice (with answers) 10: Motion in 3D [ pdf ] 09: Curvature [ pdf ] 08: Tangents and normals [ pdf ] 07: Space curves [ pdf ] 06: Distances [ pdf ] 05: Planes [ pdf] 04: Lines [ pdf ] 03: Croiss product [ pdf ] 02: Dot product [ pdf ] 01: R^3, points, and vectors [ pdf ] 00: Install DyKnow, experiment with Wolfram Alpha (take a derivative, find an integral, and take a limit)

Bert G. Wachsmut