# Math 2110 Outline (Spring 2020) *Online videos in HuskyCT

 Week Dates Section Covered (Lect.) Section Covered (Disc.) Topic Worksheets 1 1/20-1/24 12.1   12.6 12.2 Three-Dimensional Coordinate Systems Vectors Cylinders and Quadric Surfaces Calculus I and II Review 2 1/27-1/31 12.3 12.4 12.5 The Dot Product The Cross Product Equations of Lines & Planes Practice with Vectors (solutions) Understanding Surfaces 3 2/3-2/7 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 & Gradient Vector Lines and Planes 4 2/10-2/14 14.7 15.1 Maximum and Minimum Values Double Integrals over Rectangles Tangent Planes and Directional Derivatives Classifying Critical Points 5 2/17-2/21 15.2   15.3 14.8 Double Integrals over General Regions Lagrange Multipliers Double Integrals in Polar Coordinates 14.8 Lagrange Multipliers Notes (14.8 Solutions) Double Integrals and Volume 6 2/24-2/28 N/A     15.6 Double Integral Practice Exam 1 (In discussion, 12.1-12.6, 14.1-14.7 (omit 14.2, 14.5), 15.1-15.3) Triple Integrals in Cartesian Coordinates Double Integrals in Polar Coordinates (solutions) Exam 1 Review from Text 7 3/2-3/6 15.7 15.8 Triple Integrals in Cylindrical Coordinates Triple Integrals in Spherical Coordinates Cartesian Triple Integrals Cylindrical Triple Integrals 8 3/9-3/13 N/A   13.1* 13.2* 13.3* 15.9 Triple Integral Practice Change of Variables in Multiple Integrals Vector Functions Derivatives & Integrals of Vector Functions Arc Length Spherical Triple Integrals 3/14-3/22 SPRING BREAK NO CLASS 9 3/23-3/27 16.2* 16.1* 16.2* Line Integrals (Scalar Functions) Vector Fields Line Integrals (Vector Fields) Vector Functions and Parameterized Curves Line Integrals 10 3/30-4/3 16.3* 16.4* The Fundamental Thm for Line Integrals Green’s Theorem Line Integral Theorems 11 4/6-4/10 N/A     16.5* Line Integral Practice Exam 2 (Given via HuskyCT, 15.6-15.8, 13.1-13.3, 16.1-16.4) Curl and Divergence Exam 2 Practice Problems (solutions) Exam 2 Review From Text 12 4/13-4/17 16.6* 16.7* Parametric Surfaces and Their Areas Surface Integrals (Scalar Functions) Curl and Divergence 13 4/20-4/24 16.7* 16.9* Surface Integrals (Vector Fields) Divergence Theorem Common Parametric Surfaces Line Integrals vs. Surface Integrals 14 4/27-5/1 16.8* N/A Stokes’ Theorem Final Exam Review Using the Divergence Theorem 5/4-5/9 Final exam is cumulative/comprehensive