MTH 2321 - Calculus III
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Vectors & the Geometry of Space
- Vectors in Planes
- Vectors in Space
- The Dot Product: Components & Projections
- The Cross Product
- Lines & Planes in Space
- Surfaces in Space
- Vector-Valued Functions
- The Calculus of Vector-Valued Functions
- Motion in Space
- Curvature
- Tangent Normal Vectors
- Functions of Several Variables & Partial Differentiation
- Functions of Several Variables
- Limits and Continuity
- Partial Derivatives
- Tangent Planes & Linear Approximations
- The Chain Rule
- The Gradient and Directional Derivatives
- Extrema of Functions of Several Variables
- Constrained Optimization and Lagrange Multipliers
- Multiple Integrals
- Double Integrals
- Area, Volume and Center of Mass
- Double Integrals in Polar Coordinates
- Surface Area
- Triple Integrals: Mass and Center of Mass
- Cylindrical Coordinates
- Spherical Coordinates
- Change of Variables in Multiple Integrals
- Vector Calculus
- Vector Fields
- Line Integrals
- Independence of Path & Conservative Vector Fields
- Green's Theorem
- Curl and Divergence
- Surface Integrals: Parametric Representation of Surfaces
- The Divergence Theorem
- Stokes' Theorem
