19:5110a) Calculus in Higher Dimensions: Introduction
A 20-minute video from Mark Ancliff: “10a) Calculus in Higher Dimensions: Introduction”.
Mark Ancliff
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19:51
10:5410b) Taylor Series in higher dimensions
A 11-minute video from Mark Ancliff: “10b) Taylor Series in higher dimensions”.
8:3310c) Taylor Series: Examples
A 9-minute video from Mark Ancliff: “10c) Taylor Series: Examples”.
15:4710d) Second derivative test in 2D
A 16-minute video from Mark Ancliff: “10d) Second derivative test in 2D”.
16:0510e) Second derivative test: Example
A 16-minute video from Mark Ancliff: “10e) Second derivative test: Example”.
16:036f) Intersections of lines and planes
A 16-minute video from Mark Ancliff: “6f) Intersections of lines and planes”.
10:326g) Proof of scalar and vector product formulas
A 11-minute video from Mark Ancliff: “6g) Proof of scalar and vector product formulas”.
12:426h) An interesting property of the scalar and vector products
A 13-minute video from Mark Ancliff: “6h) An interesting property of the scalar and vector products”.
14:377a) Introduction to linear transformations
A 15-minute video from Mark Ancliff: “7a) Introduction to linear transformations”.
19:407b) Matrices
A 20-minute video from Mark Ancliff: “7b) Matrices”.
19:447c) Multiplying matrices
A 20-minute video from Mark Ancliff: “7c) Multiplying matrices”.
16:387d) Inverse matrices (in 2D)
A 17-minute video from Mark Ancliff: “7d) Inverse matrices (in 2D)”.
10:497e) Properties of the determinant
A 11-minute video from Mark Ancliff: “7e) Properties of the determinant”.
7:558a) Introduction: the matrix of determinants
A 8-minute video from Mark Ancliff: “8a) Introduction: the matrix of determinants”.
5:588b) Finding the determinant
A 6-minute video from Mark Ancliff: “8b) Finding the determinant”.
12:468c) Determinants: a useful theorem and examples
A 13-minute video from Mark Ancliff: “8c) Determinants: a useful theorem and examples”.
14:578d) Finding the inverse matrix
A 15-minute video from Mark Ancliff: “8d) Finding the inverse matrix”.
21:248e) Special matrices
A 21-minute video from Mark Ancliff: “8e) Special matrices”.
10:238f) Geometrical interpretation of the determinant
A 10-minute video from Mark Ancliff: “8f) Geometrical interpretation of the determinant”.
10:058g) Invariance of vector and scalar products under rotation of basis
A 10-minute video from Mark Ancliff: “8g) Invariance of vector and scalar products under rotation of basis”.
7:189a) Introduction to Eigenvectors and Eigenvalues
A 7-minute video from Mark Ancliff: “9a) Introduction to Eigenvectors and Eigenvalues”.
11:199b) How to find Eigenvectors and Eigenvalues
A 11-minute video from Mark Ancliff: “9b) How to find Eigenvectors and Eigenvalues”.
23:189c) Finding Eigenvectors and Eigenvalues: Examples
A 23-minute video from Mark Ancliff: “9c) Finding Eigenvectors and Eigenvalues: Examples”.
8:209d) The Diagonalization Formula
A 8-minute video from Mark Ancliff: “9d) The Diagonalization Formula”.
15:449e) Using the Diagonalization Formula
A 16-minute video from Mark Ancliff: “9e) Using the Diagonalization Formula”.
12:189f) When can (can't) you diagonalize?
A 12-minute video from Mark Ancliff: “9f) When can (can't) you diagonalize?”.
18:069g) Diagonalization of Special Matrices (Proof)
A 18-minute video from Mark Ancliff: “9g) Diagonalization of Special Matrices (Proof)”.
35:00Conway's Base-13 Function
A 35-minute video from Mark Ancliff: “Conway's Base-13 Function”.
9:42Modern Physics 2-1: Measuring the Speed of Light (Eclipses of Io)
A 10-minute video from Mark Ancliff: “Modern Physics 2-1: Measuring the Speed of Light (Eclipses of Io)”.
10:08Modern Physics 2-2: Measuring the Speed of Light (Foucault Experiment)
A 10-minute video from Mark Ancliff: “Modern Physics 2-2: Measuring the Speed of Light (Foucault Experiment)”.
13:16Modern Physics 3-1: The Aether
A 13-minute video from Mark Ancliff: “Modern Physics 3-1: The Aether”.
17:01Modern Physics 3-2: Galilean Transformations
A 17-minute video from Mark Ancliff: “Modern Physics 3-2: Galilean Transformations”.
8:16Modern Physics 3-3: The Michelson-Morley Experiment - Background
A 8-minute video from Mark Ancliff: “Modern Physics 3-3: The Michelson-Morley Experiment - Background”.
13:13Modern Physics 3-4: The Michelson-Morley Experiment
A 13-minute video from Mark Ancliff: “Modern Physics 3-4: The Michelson-Morley Experiment”.
10:30Modern Physics 3-5: Results of the Michelson Morley experiment and stellar aberration
A 10-minute video from Mark Ancliff: “Modern Physics 3-5: Results of the Michelson Morley experiment and stellar aberration”.
20:10Modern Physics 4-1: Postulates of Special Relativity - The Principle of Relativity
A 20-minute video from Mark Ancliff: “Modern Physics 4-1: Postulates of Special Relativity - The Principle of Relativity”.