# Math 2110 Outline

 Week Dates Section(s) Covered (In Lecture) Section(s) Covered (In Discussion) Topic Worksheets 1 Jan 16-20 12.1   12.6 12.2 Three-Dimensional Coordinate Systems Vectors Cylinders and Quadric Surfaces Calculus Review Worksheet Practice with Vectors Worksheet 2 Jan 23-27 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 Worksheet 3 Jan 30-Feb 3 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 Feb 6-10 14.7 Maximum and Minimum Values Tangent Planes and Directional Derivatives Worksheet Classifying Critical Points Worksheet 5 Feb 13-17 15.1 15.2 Double Integrals over Rectangles Double Integrals over General Regions Partial Derivatives Review Worksheet (not for credit) (solutions) Double Integrals Worksheet 6 Feb 20-24 15.3 Exam 1 (In discussion, 12.1-12.6, 14.1, 14.3, 14.4, 14.6, 14.7, 15.1-15.2) Double Integrals in Polar Coordinates 7 Feb 27-Mar 3 15.6 15.7 Triple Integrals in Cartesian Coordinates Triple Integrals in Cylindrical Coordinates Polar Double Integrals Worksheet Cartesian Triple Integrals Worksheet 8 Mar 6-10 15.8 15.6-15.8 Triple Integrals in Spherical Coordinates Triple Integrals Review Cylindrical Triple Integrals Worksheet SPRING BREAK- NO CLASS 9 Mar 20-24 13.1 13.2 13.3   16.1 Vector Functions Derivatives and Integrals of Vector Functions Arc Length  Vector Fields 10 Mar 27-31 16.2 16.3 Line Integrals The Fundamental Theorem for Line Integrals Line Integrals Worksheet 11 Apr 3-7 16.4 Exam 2 (In discussion, 15.3, 15.6-15.8, 13.1-13.3, 16.1-16.3) Green’s Theorem 12 Apr 10-14 16.5 16.6 Curl and Divergence Parametric Surfaces and Their Areas 13 Apr 17-21 16.7 16.9 Surface Integrals Divergence Theorem Line vs. Surface Intergals Worksheet 14 Apr 24-28 16.8 Stokes’ Theorem Final Exam Review Divergence Theorem Worksheet May 1-May 6 Final exam is cumulative