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
- 3D Analytic Geometry
- Vectors
- 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