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Correction: At the formula for D2pq should be D2pq=D1D1pq=pD2q+2*D1p*D2q+qD2p as noted by Faraz Sahba thanks!
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Classroom Contents
The Differential Calculus for Curves - Lagrange's Algebraic Approach - Lecture 4
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- 1 Correction: At the formula for D2pq should be D2pq=D1D1pq=pD2q+2*D1p*D2q+qD2p as noted by Faraz Sahba thanks!
- 2 The algebraic approach to Calculus
- 3 Euler and Lagrange
- 4 Reviewing the standard approach to calculus
- 5 Lagrange's approach
- 6 Pascal's array
- 7 Taylor expansions and product rules
- 8 The shape of curves near a point
- 9 Truncating to find approximations
- 10 Tangents and equation of a line
- 11 Problem: Calculate & graph the tangent curves to a curve at a point
