232 Courses
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View CourseMolecular, Cellular, and Tissue Biomechanics
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View CourseMultivariable Calculus
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Dot Product
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Determinants; Cross Product
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Matrices; Inverse Matrices
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Square Systems; Equations of Planes
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Parametric Equations for Lines and Curves
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Velocity, Acceleration - Kepler's Second Law
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Review: Vectors and Matrices
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Level Curves; Partial Derivatives; Tangent Plane Approximation
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Max-Min Problems; Least Squares
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Second Derivative Test; Boundaries and Infinity
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Differentials; Chain Rule
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Gradient; Directional Derivative; Tangent Plane
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Lagrange Multipliers
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Non-Independent Variables
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Partial Differential Equations; Review
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Double Integrals
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Double Integrals in Polar Coordinates; Applications
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Change of Variables
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Vector Fields and Line Integrals in the Plane
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Path Independence and Conservative Fields
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Gradient Fields and Potential Functions
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Green's Theorem
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Flux; Normal Form of Green's Theorem
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Simply Connected Regions; Review
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Triple Integrals in Rectangular and Cylindrical Coordinates
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Spherical Coordinates; Surface Area
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Vector Fields in 3D; Surface Integrals and Flux
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Divergence Theorem
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Divergence Theorem (continued): Applications and Proof
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Line Integrals in Space, Curl, Exactness and Potentials
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Stokes' Theorem
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Stokes' Theorem (continued); Review
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Topological Considerations - Maxwell's Equations
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Multivariable Calculus Final Review
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Multivariable Calculus Final Review (continued)
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View CourseNano-Life: An Introduction to Virus Structure and Assembly
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View CourseNegotiations and Conflict Management
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View CourseNetwork and Computer Security
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View CourseNetwork Optimization
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View CourseNetworks, Complexity and Its Applications
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View CourseNeural Basis of Learning
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View CourseNextLab I: Designing Mobile Technologies for the Next Billion Users