# Math 2110 Outline (Fall 2017)

 Week Dates Section(s) Covered (In Lecture) Section(s) Covered (In Discussion) Topic Worksheets 1 Aug 28- Sept 1 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 Review Worksheet 2 Sept 4-8 12.5 14.1 14.3 Equations of Lines & Planes Functions of Several Variables Partial Derivatives Practice with Vectors Worksheet (not graded) (solutions) Understanding Surfaces Worksheet 3 Sept 11-15 14.4   14.6 14.5 Tangent Planes and Linear Approximation The Chain Rule Directional Derivatives and the Gradient Vector Lines and Planes Worksheet Chain Rule Worksheet 4 Sept 18-22 14.7 15.1 Maximum and Minimum Values Double Integrals over Rectangles Tangent Planes and Directional Derivatives Worksheet Classifying Critical Points Worksheet 5 Sept 25-29 15.2 15.3 Double Integrals over General Regions Double Integrals in Polar Coordinates Chapter 14 Worksheet Double Integrals Worksheet 6 Oct 2-6 N/A     15.6 Exam 1 Review Exam 1 (In discussion, 12.1-12.6, 14.1, 14.3, 14.4, 14.6, 14.7, 15.1-15.3) Triple Integrals in Cartesian Coordinates Polar Double Integrals Worksheet (for practice; not graded) (solutions) Exam 1 Review Exercises 7 Oct 9-13 15.7 15.8 Triple Integrals in Cylindrical Coordinates Triple Integrals in Spherical Coordinates Cartesian Triple Integrals Worksheet Cylindrical Triple Integrals Worksheet 8 Oct 16-20 15.6-15.8 13.1 13.2 13.3 Triple Integrals Review Vector Functions Derivatives and Integrals of Vector Functions Arc Length 9 Oct 23-27 16.2 16.1 16.2 Line Integrals (Scalar Functions) Vector Fields Line Integrals (Vector Fields) Vector Functions Worksheet Line Integrals Worksheet 10 Oct 30- Nov 3 16.3 16.4 The Fundamental Theorem for Line Integrals Green’s Theorem Line Integral Theorems Worksheet 11 Nov 6-10 N/A     16.5 Exam 2 Review Exam 2 (In discussion, 15.6-15.8, 13.1-13.3, 16.1-16.4) Curl and Divergence (solutions) Exam 2 Review Exercises 12 Nov 13-17 16.6 16.7 Parametric Surfaces and Their Areas Surface Integrals (Scalar Functions) Curl and Divergence Worksheet Nov 20-24 THANKSGIVING BREAK NO CLASS 13 Nov 27- Dec 1 16.7 16.9 Surface Integrals (Vector Fields) Divergence Theorem Parametric Surfaces Worksheet Line vs. Surface Intergals Worksheet 14 Dec 4-8 16.8 N/A Stokes’ Theorem Final Exam Review Divergence Theorem Worksheet Dec 11-16 Final exam is cumulative