# Math 2110 Outline (Spring 2019)

 Week Dates Section Covered (Lect.) Section Covered (Disc.) Topic Worksheets 1 Jan 22-25 12.1   12.6 12.2 Three-Dimensional Coordinate Systems Vectors Cylinders and Quadric Surfaces Calculus I and II Review Note: Example 3 should have x-component -2-0=-2, not -3. 2 Jan 28-Feb 1 12.5 14.1 14.3 12.3 12.4 The Dot Product The Cross Product Equations of Lines & Planes Functions of Several Variables Partial Derivatives Guided Dot and Cross Product Notes (solutions) Understanding Surfaces 3 Feb 4-8 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 Feb 11-15 N/A 15.1 Chapter 14 Review Double Integrals over Rectangles Tangent Planes and Directional Derivatives Classifying Critical Points 5 Feb 18-22 15.2   15.3 14.8 Double Integrals over General Regions Lagrange Multipliers Double Integrals in Polar Coordinates Absolute Extrema Practice Exercises Solutions Double Integrals and Volume 6 Feb 25-Mar 1 N/A     15.6 Exam 1 Review 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 Exam 1 Review from Text 7 Mar 4-8 15.7 15.8 Triple Integrals in Cylindrical Coordinates Triple Integrals in Spherical Coordinates Cartesian Triple Integrals Cylindrical Triple Integrals 8 Mar 11-15 N/A   13.1 13.2 13.3 15.9 Triple Integrals Review Change of Variables in Multiple Integrals Vector Functions Derivatives & Integrals of Vector Functions Arc Length Spherical Triple Integrals Change of Variables Practice Exercises Solutions Mar 18-22 SPRING BREAK NO CLASS 9 Mar 25-29 16.2 16.1 16.2 Line Integrals (Scalar Functions) Vector Fields Line Integrals (Vector Fields) Vector Functions and Parameterized Curves Line Integrals 10 Apr 1-5 16.3   16.4 The Fundamental Theorem for Line Integrals Green’s Theorem Line Integral Theorems 11 Apr 8-12 N/A     16.5 Exam 2 Review 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 Apr 15-19 16.6 16.7 Parametric Surfaces and Their Areas Surface Integrals (Scalar Functions) Curl and Divergence 13 Apr 22-26 16.7 16.9 Surface Integrals (Vector Fields) Divergence Theorem Common Parametric Surfaces Line Integrals vs. Surface Integrals 14 Apr 29-May 3 16.8 N/A Stokes’ Theorem Final Exam Review Using the Divergence Theorem May 6-11 Final exam is cumulative