# Math 2110 Outline (Fall 2018)

 Week Dates Section(s) Covered (Lecture) Section(s) Covered (Discussion) Topic Worksheets 1 Aug 27-31 12.1 12.6 12.2 12.3 12.4 Three-Dimensional Coordinate Systems Cylinders and Quadric Surfaces Vectors The Dot Product The Cross Product Calculus Review Worksheet 2 Sept 3-7 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 10-14 14.4 14.6   14.7 14.5 Tangent Planes and Linear Approximation Directional Derivatives & the Gradient Vector The Chain Rule Maximum and Minimum Values Lines and Planes Worksheet Chain Rule Worksheet 4 Sept 17-21 N/A 15.1 Chapter 14 Review Double Integrals over Rectangles Chapter 14 Worksheet Tangent Planes and Directional Derivatives Worksheet Classifying Critical Points Worksheet 5 Sept 24-28 15.2   15.3 14.8 Double Integrals over General Regions Lagrange Multipliers Double Integrals in Polar Coordinates Guided Lagrange Multipliers Notes (solutions) Double Integrals Worksheet 6 Oct 1-6 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 from Text Exam 1 Things to Know 7 Oct 8-12 15.7 15.8 Triple Integrals in Cylindrical Coordinates Triple Integrals in Spherical Coordinates Cartesian Triple Integrals Worksheet Cylindrical Triple Integrals Worksheet 8 Oct 15-19 15.6-15.8   13.1 13.2 13.3 15.9 Triple Integrals Review Change of Variables Vector Functions Derivatives and Integrals of Vector Functions Arc Length Spherical Triple Integrals Worksheet 9 Oct 22-26 16.2 16.1 16.2 Line Integrals (Scalar Functions) Vector Fields Line Integrals (Vector Fields) Vector Functions Worksheet Line Integrals Worksheet 10 Oct 29-Nov 2 16.3 16.4 The Fundamental Theorem for Line Integrals Green’s Theorem Line Integral Theorems Worksheet 11 Nov 5-9 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 Exam 2 Practice Problems (solutions) Exam 2 Review Exercises 12 Nov 12-16 16.6 16.7 Parametric Surfaces and Their Areas Surface Integrals (Scalar Functions) Curl and Divergence Worksheet THANKSGIVING BREAK NO CLASS 13 Nov 26-30 16.7 16.9 Surface Integrals (Vector Fields) Divergence Theorem Parametric Surfaces Worksheet Line vs. Surface Intergals Worksheet 14 Dec 3-7 16.8 N/A Stokes’ Theorem Final Exam Review Divergence Theorem Worksheet Dec 10-16 Final exam is cumulative