A “hyperbolic paraboloid” surface, plotted by Doug Baldwin using Wolfram Mathematica.
Welcome to Prof. Baldwin’s multivariable calculus course (or, more formally, SUNY Geneseo’s fall 2022 Math 223 01, Calculus 3). Use the links below to access the notes and other materials for this course.
- Introduction
- 3D Analytic Geometry
- Topic: 3D Rectangular Coordinates
- Topic: Quadric Surfaces
- Topic: Other Coordinate Systems
- Vectors
- Topic: Introduction
- Topic: The Dot Product
- Topic: The Cross Product
- Topic: Lines and Planes
- Vector-Valued Functions
- Topic: Introduction
- Topic: Limits of Vector-Valued Functions
- Topic: Derivatives of Vector-Valued Functions
- Topic: Integrals of Vector-Valued Functions
- Topic: Arc Length
- Topic: Curvature
- Derivatives of Multivariable Functions
- Topic: Introduction
- Topic: Limits
- Topic: Partial Derivatives
- Topic: Tangents
- Topic: The Chain Rule
- Topic: Directional Derivatives
- Topic: Gradients
- Topic: Extreme Values
- Topic: Optimization
- Integrals of Multivariable Functions
- Topic: Integration over Rectangular Regions
- Topic: Integration over General Regions
- Topic: Polar Coordinates
- Topic: Mass and Moment
- Topic: Scalar Line Integrals
- Vector Calculus
- Topic: Vector Fields
- Topic: Vector Line Integrals
- Topic: Potential Functions
- Topic: Green’s Theorem
- Topic: Divergence and Curl
- Topic: Parametric Surfaces