36:1410.4. Self-adjoint endomorphisms (Part 1 of 2)
A 36-minute video from Stephan Mescher: “10.4. Self-adjoint endomorphisms (Part 1 of 2)”.
Stephan Mescher
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36:14
41:2210.4. Self-adjoint endomorphisms (Part 2 of 2)
A 41-minute video from Stephan Mescher: “10.4. Self-adjoint endomorphisms (Part 2 of 2)”.
46:1411.1. Metric spaces and convergence (Part 1 of 2)
A 46-minute video from Stephan Mescher: “11.1. Metric spaces and convergence (Part 1 of 2)”.
47:3511.1. Metric spaces and convergence (Part 2 of 2)
A 48-minute video from Stephan Mescher: “11.1. Metric spaces and convergence (Part 2 of 2)”.
35:4211.2. Uniform convergence of sequences of functions (Part 1 of 2)
A 36-minute video from Stephan Mescher: “11.2. Uniform convergence of sequences of functions (Part 1 of 2)”.
37:4411.2. Uniform convergence of sequences of functions (Part 2 of 2)
A 38-minute video from Stephan Mescher: “11.2. Uniform convergence of sequences of functions (Part 2 of 2)”.
42:0811.3. Continuous maps between metric spaces (Part 1 of 2)
A 42-minute video from Stephan Mescher: “11.3. Continuous maps between metric spaces (Part 1 of 2)”.
46:3411.3. Continuous maps between metric spaces (Part 2 of 2)
A 47-minute video from Stephan Mescher: “11.3. Continuous maps between metric spaces (Part 2 of 2)”.
59:5111.4. Open and closed subsets of metric spaces (Part 1 of 2)
A 60-minute video from Stephan Mescher: “11.4. Open and closed subsets of metric spaces (Part 1 of 2)”.
45:2011.4. Open and closed subsets of metric spaces (Part 2 of 2)
A 45-minute video from Stephan Mescher: “11.4. Open and closed subsets of metric spaces (Part 2 of 2)”.
34:3411.5. Compactness in metric spaces (Part 1 of 2)
A 35-minute video from Stephan Mescher: “11.5. Compactness in metric spaces (Part 1 of 2)”.
39:3811.5. Compactness in metric spaces (Part 2 of 2)
A 40-minute video from Stephan Mescher: “11.5. Compactness in metric spaces (Part 2 of 2)”.
1:00:3412.1. Directional and partial derivatives
A 61-minute video from Stephan Mescher: “12.1. Directional and partial derivatives”.
56:2212.2. The differential of a map (Part 1 of 2)
A 56-minute video from Stephan Mescher: “12.2. The differential of a map (Part 1 of 2)”.
41:1112.2. The differential of a map (Part 2 of 2)
A 41-minute video from Stephan Mescher: “12.2. The differential of a map (Part 2 of 2)”.
51:0512.3. Rules of multivariable differentiation (Part 1 of 2)
A 51-minute video from Stephan Mescher: “12.3. Rules of multivariable differentiation (Part 1 of 2)”.
40:1512.3. Rules of multivariable differentiation (Part 2 of 2)
A 40-minute video from Stephan Mescher: “12.3. Rules of multivariable differentiation (Part 2 of 2)”.
54:5812.4. Further properties of differentiable maps (Part 1 of 2)
A 55-minute video from Stephan Mescher: “12.4. Further properties of differentiable maps (Part 1 of 2)”.
52:0612.4. Further properties of differentiable maps (Part 2 of 2)
A 52-minute video from Stephan Mescher: “12.4. Further properties of differentiable maps (Part 2 of 2)”.
54:3512.5. Higher order differentials and Taylor's theorem (Part 1 of 2)
A 55-minute video from Stephan Mescher: “12.5. Higher order differentials and Taylor's theorem (Part 1 of 2)”.
42:4712.5. Higher order differentials and Taylor's theorem (Part 2 of 2)
A 43-minute video from Stephan Mescher: “12.5. Higher order differentials and Taylor's theorem (Part 2 of 2)”.
46:0812.6.1. Bilinear forms
A 46-minute video from Stephan Mescher: “12.6.1. Bilinear forms”.
1:00:1612.6.2. Local extrema of functions in several variables
A 60-minute video from Stephan Mescher: “12.6.2. Local extrema of functions in several variables”.
44:0513.1. The Banach fixed point theorem
A 44-minute video from Stephan Mescher: “13.1. The Banach fixed point theorem”.
46:3513.2. The inverse function theorem (Part 1 of 2)
A 47-minute video from Stephan Mescher: “13.2. The inverse function theorem (Part 1 of 2)”.
42:1013.2. The inverse function theorem (Part 2 of 2)
A 42-minute video from Stephan Mescher: “13.2. The inverse function theorem (Part 2 of 2)”.
46:1413.3. The implicit function theorem (Part 1 of 2)
A 46-minute video from Stephan Mescher: “13.3. The implicit function theorem (Part 1 of 2)”.
28:3013.3. The implicit function theorem (Part 2 of 2)
A 28-minute video from Stephan Mescher: “13.3. The implicit function theorem (Part 2 of 2)”.
19:26BONUS: Addendum to 12.6.2., another example for maxima and minima of functions
A 19-minute video from Stephan Mescher: “BONUS: Addendum to 12.6.2., another example for maxima and minima of functions”.