# Math 2110 Outline (Spring 2018)

 Week Dates Section(s) Covered (Lecture) Section(s) Covered (Discussion) Topic Worksheets 1 Jan 16-19 12.1 12.6 Three-Dimensional Coordinate Systems Cylinders and Quadric Surfaces Calculus Review Worksheet 2 Jan 22-26 12.3 12.4 12.5 12.2 Vectors The Dot Product The Cross Product Equations of Lines & Planes Guided Vectors Notes (solutions) Practice with Vectors Worksheet (not graded) (solutions) Understanding Surfaces Worksheet 3 Jan 29-Feb 2 14.1 14.3   14.4 14.6 14.5 Functions of Several Variables Partial Derivatives The Chain Rule Tangent Planes and Linear Approximation Directional Derivatives & the Gradient Vector Lines and Planes Worksheet Chain Rule Worksheet 4 Feb 5-9 14.7 15.1 Maximum and Minimum Values Double Integrals over Rectangles Tangent Planes and Directional Derivatives Worksheet Classifying Critical Points Worksheet 5 Feb 12-16 15.2 15.3 Double Integrals over General Regions Double Integrals in Polar Coordinates Chapter 14 Worksheet Double Integrals Worksheet 6 Feb 19-23 N/A     15.6 Exam 1 Review Exam 1 (In discussion, 12.1-12.6, 14.1, 14.3-14.7, 15.1-15.3) Triple Integrals in Cartesian Coordinates Polar Double Integrals Worksheet (for practice; not graded) (solutions) Exam 1 Review Exercises 7 Feb 26-Mar 2 15.7 15.8 Triple Integrals in Cylindrical Coordinates Triple Integrals in Spherical Coordinates Cartesian Triple Integrals Worksheet Cylindrical Triple Integrals Worksheet 8 Mar 5-9 15.6-15.8 13.1 13.2 13.3 Triple Integrals Review Vector Functions Derivatives and Integrals of Vector Functions Arc Length Spherical Triple Integrals Worksheet Mar 10-18 SPRING BREAK NO CLASS 9 Mar 19-23 16.2 16.1 16.2 Line Integrals (Scalar Functions) Vector Fields Line Integrals (Vector Fields) Vector Functions Worksheet Line Integrals Worksheet 10 Mar 26-30 16.3 16.4 The Fundamental Theorem for Line Integrals Green’s Theorem Line Integral Theorems Worksheet 11 Apr 2-6 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 Practice Exam 2 (solutions) Exam 2 Review Exercises 12 Apr 9-13 16.6 16.7 Parametric Surfaces and Their Areas Surface Integrals (Scalar Functions) Curl and Divergence Worksheet 13 Apr 16-20 16.7 16.9 Surface Integrals (Vector Fields) Divergence Theorem Parametric Surfaces Worksheet Line vs. Surface Intergals Worksheet 14 Apr 23-27 16.8 N/A Stokes’ Theorem Final Exam Review Divergence Theorem Worksheet Apr 30-May 5 Final exam is cumulative