Learn · Calculus Revisited: Multivariable Calculus
Lecture 4 of 26Part I: Vector Arithmetic31 min
Lecture 4: The Dot Product
Prof. Herbert Gross · Massachusetts Institute of Technology
Credits and licence
- From
- Calculus Revisited: Multivariable Calculus, Massachusetts Institute of Technology (at MIT OpenCourseWare)
- Licence
- CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only.
- Attribution
- Prof. Herbert Gross. Calculus Revisited: Multivariable Calculus. Fall 2011. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
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All the lectures
- Lecture 1: The "Game" of Mathematics
- Lecture 2: "Arrow" Arithmetic
- Lecture 3: Three-Dimensional Vectors
- Lecture 4: The Dot Product
- Lecture 5: The Cross Product
- Lecture 6: Equations of Lines & Planes
- Lecture 1: Vector Functions of a Scalar Variable
- Lecture 2: Tangential & Normal Vectors
- Lecture 3: Polar Coordinates
- Lecture 4: Vectors in Polar Coordinates
- Lecture 1: n-Dimensional Vector Spaces
- Lecture 2: Calculus of Several Variables
- Lecture 3: Directional Derivatives
- Lecture 4: The Chain Rule
- Lecture 5: Integrals Involving Parameters
- Lecture 6: Exact Differentials
- Lecture 1: Linearity Revisited
- Lecture 2: The "Game" of Matrices
- Lecture 3: Inverting a Matrix
- Lecture 4: Inverting More General Systems of Equations
- Lecture 5: Maxima and Minima in Several Variables
- Lecture 1: Double Multiple Sums
- Lecture 2: The Fundamental Theorem
- Lecture 3: Multiple Integration and the Jacobian
- Lecture 4: Introduction to Line Integrals
- Lecture 5: Green's Theorem