Math 223 01, Calculus 3

Welcome to Professor Baldwin’s Calculus 3 (or more precisely, SUNY Geneseo’s spring 2020 Math 223 01). Click on the buttons and links below to access the main parts of this course.

• Introduction
  • Syllabus
  • Sample Past Grades
  • 01/22 - Introduction
  • 01/23 - Course Policies
• 3D Analytic Geometry
  • 01/24 - 3D Coordinate Systems
  • 01/27 - Introduction to Mathematica
  • Problem Set 1 - 3D Coordinates
  • 01/29 - Cylinders and Quadric Surfaces
  • 01/30 - Cylindrical and Spherical Coordinates
  • Problem Set 2 - 3D Coordinate Systems and Surfaces
• Vectors
  • 01/31 - Introduction to Vectors
  • 02/03 - The Dot Product
  • Problem Set 3 - Vectors
  • 02/05 - Projections
  • 02/06 - The Cross Product
  • 02/07 - Introduction to Lines
  • 02/10 - More about Lines
  • Problem Set 4 - The Cross Product
  • 02/12 - Reading Math
  • 02/13 - Planes
  • Problem Set 5 - Lines and Planes
• Vector-Valued Functions
  • 02/14 - Introduction to Vector-Valued Functions
  • 02/17 - Limits of Vector-Valued Functions
  • Problem Set 6 - Introduction to Vector-Valued Functions
  • 02/19 - Derivatives of Vector-Valued Functions
  • 02/20 - Integrals of Vector-Valued Functions
  • Problem Set 7 - Derivatives and Integrals of Vector-Valued Functions
  • 02/21 - Arc Length
  • 02/24 - Curvature
  • 02/26 - Curvature with Mathematica
  • Problem Set 8 - Arc Length and Curvature
• Multivariable Functions and Their Derivatives
  • 02/28 - Introduction to Multivariable Functions
  • 03/02 - Limits of Multivariable Functions, Part 1
  • 03/04 - Limits of Multivariable Functions, Part 2
  • 03/05 - Partial Derivatives
  • Problem Set 9 - Multivariable Functions
  • 03/06 - More Partial Derivatives
  • 03/09 - Tangent Planes and Linear Approximation
  • 03/11 - The Chain Rule
  • 03/23 - Back to (Remote) Classes
  • Problem Set 10 - Partial Derivatives
  • 03/25 - Introduction to Directional Derivatives
  • 03/26 - Directional Derivatives Part 2
  • 03/27 - Gradients
  • 03/30 - Introduction to Extreme Values
  • 04/01 - Absolute Extreme Values
  • 04/02 - Lagrange Multipliers
  • Problem Set 11 - Applications of Partial Derivatives
  • 04/03 - Lagrange Multiplier Examples
• Integrals of Multivariable Functions
  • 04/06 - Multiple Integrals over Rectangular Regions
  • 04/08 - More about Multiple Integrals
  • 04/09 - Integrals over General Regions
  • 04/10 - More Integrals over General Regions
  • 04/13 - Wrapping Up Multivariable Integration
  • Problem Set 12 - Multivariable Integration
  • 04/15 - Integrals in Polar Coordinates
  • 04/16 - Applied Polar Integration
  • 04/17 - Mass and Moment
  • 04/20 - 3-Dimensional Mass and Moment
• Vector Calculus
  • 04/23 - Scalar Line Integrals
  • Problem Set 13 - Line Integrals and Vector Fields
  • 04/24 - Vector Fields
  • 04/27 - Line Integrals in Vector Fields
  • 04/29 - Flux and Circulation
  • 04/30 - Conservative Fields
  • 05/01 - Line Integrals in Conservative Fields
  • 05/04 - Introduction to Green’s Theorem
  • Problem Set 14 - Conservative Vector Fields and Green’s Theorem
  • 05/06 - Green’s Theorem