Math 223 04, Calculus 3

(Adapted from a photo by Nikki Graziano at http://socks-studio.com/2010/09/17/found-functions-series-by-nikki-graziano/, part of the SOCKS project by Fosco Lucarelli and Mariabruna Fabrizi, licensed under a Creative Commons Attribution-ShareAlike 3.0 license.)

Welcome to Professor Baldwin’s Calculus III (or more precisely, SUNY Geneseo’s spring 2018 Math 223 section 4). The links below take you to the main course materials…

• Introduction
  • Syllabus
  • Sample Grade Breakdown
  • 01/17 - Introduction
  • 01/18 - Syllabus Review
• 3D Analytical Geometry
  • 01/19 - 3D Space
  • Problem Set 1
  • 01/22 - Plotting with muPad
  • 01/24 - Cylinders and Quadrics
• Vectors
  • 01/25 - Vectors
  • Problem Set 2
  • 01/26-29 - The Dot Product
  • 01/31 - The Cross Product
  • 02/01 - Lines
  • 02/02 - Planes
  • Problem Set 3
  • 02/05 - Spherical and Cylindrical Coordinates
• Vector Valued Functions
  • 02/07 - Vector Valued Functions
  • 02/08 - Limits of Vector Valued Functions
  • 02/09 - Derivatives of Vector Valued Functions
  • Problem Set 4
  • 02/12 - Integrals of Vector Valued Functions
  • 02/14 - Arc Length
  • 02/15 - Curvature
  • 02/19 - Motion
  • Problem Set 5
  • Sample Exam 1
• Multivariable Functions
  • 02/28 - Multivariable Functions
  • 03/01 - Limits of Multivariable Functions
• Derivatives of Multivariable Functions
  • 03/05 - Partial Derivatives
  • 03/07 - Tangents
  • Problem Set 6
  • 03/08 - The Chain Rule
  • 03/09 - Directional Derivatives
  • 03/19 - The Gradient
  • Problem Set 7
  • 03/21 - Local Extrema
  • 03/22 - More Extreme Values
  • 03/23 - Absolute Extremes
  • Sample Exam 2
  • 03/26 - Optimization and Lagrange Multipliers
  • Problem Set 8
  • 03/28 - Lagrange Multipliers
• Integrals of Multivariable Functions
  • 03/30 - Rectangular Regions
  • 04/02 - General Regions
  • 04/04 - General Regions Continued
  • 04/05 - Double Integrals in Polar Coordinates
  • 04/06 - Physical Applications of Multiple Integrals
  • 04/09 - Center of Mass
  • Problem Set 9
• Vector Calculus
  • 04/11 - Introduction to Vector Fields
  • 04/12 - Scalar Line Integrals
  • 04/13 - Line Integrals of Vector Fields
  • 04/16 - More Vector Field Line Integrals
  • 04/18 - Flux and Circulation
  • 04/19 - Introduction to Gradient Fields
  • 04/20 - Conservative Vector Fields
  • 04/23 - Identifying Conservative Fields
  • Problem Set 10
  • 04/25 - Green’s Theorem
  • 04/26 - More Green’s Theorem
  • 04/27 - Finishing Green’s Theorem
  • 04/30 - Wrapping Up
• Review
  • 05/02 - Review
  • Sample Final