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Related lectures (32)
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Points 7-9 du procédé
Covers the analysis of local and global extrema, concavity, and inflection points.
Chapter 5: Function Studies
Covers the study of functions, including limits, derivatives, and sign variations.
Taylor Series: Development and Applications
Covers the study of local functions, behavior analysis, and Taylor series development.
Frobenius Method: General Case of Regular Singular Point
Explores deriving a second solution using the Frobenius series in differential equations.
Dynamics of Singular Riemann Surface Foliations
Explores the dynamics of singular Riemann surface foliations near singular points and their relation to compact manifolds.
Taylor Polynomials: Special Cases
Explores Taylor polynomials, odd orders, simplification, residues, and special cases of zero polynomials.
Graph of a Function
Covers analyzing the graph of a function using a nine-point process.
Transient and Spatial Flow Instabilities
Explores transient and spatial growth in flow instabilities, dispersion relations, and necessary conditions for instability.
Application of Taylor's approximation formula
Covers the application of Taylor's formula, including composition of functions and detecting local extrema.
Applications of Differential Calculus
Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.