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3.1 Multivariable Functions
Discover the multi-dimensional space of multivariable functions, and learn how to think about scenarios with more than one changing parameter.
Many Variables in a Nutshell
Finding Extrema
Coordinates in 3D
3D Volumes
Vector Arithmetic
Vector Properties
Equations of Lines
Dot Product Definition and Properties
Matrices
Determinants
The Cross Product
Multivariable Functions
Function Domains
Basic Graphing
Graphs by Slices
Contour Maps
Level Sets
Course description
Most interesting things occur in systems with more than one variable: weather depends on time of year and location on the Earth, economies have several sectors, important chemical reactions have many reactants and products. This course unpacks the unique characteristics of functions that have more than one variable and the tools needed to think about them.
Topics covered
- 3D Coordinates
- Contour Maps
- Cross Product
- Determinants
- Dot Product
- Level Sets
- Vectors and Matrices
Prerequisites and next steps
You’ll need an understanding of algebra and the basics of functions, such as domain and range, graphs, and intercepts. You should also be familiar with exponential functions, logarithms, and basic trigonometric identities.
Up next
3.2 Multivariable Calculus
Continue your calculus journey into the realm of multiple variables, exploring everything from vectors to volume.
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