# Math 2110 Outline (Fall 2019)

 Week Dates Section Covered (Lect.) Section Covered (Disc.) Topic Worksheets 1 Aug 26-30 12.1   12.6 12.2   12.3 12.4 Three-Dimensional Coordinate Systems Vectors Cylinders and Quadric Surfaces The Dot Product The Cross Product Calculus I and II Review 2 Sept 2-6 12.5 14.1 14.3 Equations of Lines & Planes Functions of Several Variables Partial Derivatives Understanding Surfaces 3 Sept 9-13 14.4   14.6 14.7 14.5 Tangent Planes and Linear Approximation The Chain Rule Directional Derivatives & Gradient Vector Maximum and Minimum Values Lines and Planes Practice Chain Rule Exercises Solutions 4 Sept 16-20 N/A 15.1 Chapter 14 Practice Double Integrals over Rectangles Tangent Planes and Directional Derivatives Classifying Critical Points 5 Sept 23-27 15.2   15.3 14.8 Double Integrals over General Regions Lagrange Multipliers Double Integrals in Polar Coordinates Guided Lagrange Multipliers Notes (solutions) Absolute Extrema Practice Exercises Solutions Double Integrals and Volume 6 Sept 30-Oct 4 N/A     15.6 Double Integral Practice Exam 1 (In discussion, 12.1-12.6, 14.1, 14.3-14.8, 15.1-15.3) Triple Integrals in Cartesian Coordinates Double Integrals in Polar Coordinates (solutions) Exam 1 Things to Know *This is not an exhaustive list! Exam 1 Review from Text 7 Oct 7-11 15.7 15.8 Triple Integrals in Cylindrical Coordinates Triple Integrals in Spherical Coordinates Cartesian Triple Integrals Cylindrical Triple Integrals 8 Oct 14-18 N/A   13.1 13.2 13.3 15.9 Triple Integral Practice Change of Variables in Multiple Integrals Vector Functions Derivatives & Integrals of Vector Functions Arc Length Spherical Triple Integrals Change of Variables Practice Exercises Solutions 9 Oct 21-25 16.2 16.1 16.2 Line Integrals (Scalar Functions) Vector Fields Line Integrals (Vector Fields) Vector Functions and Parameterized Curves Line Integrals 10 Oct 28-Nov 1 16.3   16.4 The Fundamental Theorem for Line Integrals Green’s Theorem Line Integral Theorems 11 Nov 4-8 N/A     16.5 Line Integral Practice Exam 2 (In discussion, 15.6-15.9, 13.1-13.3, 16.1-16.4) Curl and Divergence Exam 2 Practice Problems (solutions) Exam 2 Review From Text 12 Nov 11-15 16.6 16.7 Parametric Surfaces and Their Areas Surface Integrals (Scalar Functions) Curl and Divergence 13 Nov 18-22 16.7 16.9 Surface Integrals (Vector Fields) Divergence Theorem Common Parametric Surfaces Line Integrals vs. Surface Integrals Nov 23-Dec 1 THANKSGIVING BREAK NO CLASS 14 Dec 2-6 16.8 N/A Stokes’ Theorem Final Exam Review Using the Divergence Theorem Dec 9-15 Final exam is cumulative