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Notation for differentiation
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Differential Functions: Definitions and Notations
Covers the definition of differentiable functions and introduces the concept of differential functions.
Vector Differentiation and Convex Functions
Covers the concepts of vector differentiation and convex functions.
O-Notation, Local Extrema
Covers O-Notation, local extrema, and critical points in functions.
Partial Derivatives: Derivability
Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.
Cartesian Product: Sets and Recurrence
Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.
Review of Significant Figures
Covers the review of significant figures and their importance in error estimation.
Mathematical Equation Rule
Covers the process of converting handwritten entries into text and sharing mathematical equation rules.
Derivatives of Functions: Differentiability and Matrices
Explores differentiability, matrices, and composite functions through examples and mathematical notations.
Advanced Analysis II: Derivatives and Notations
Covers derivatives, notations, composition of functions, and multiple derivatives in advanced analysis.
Vector Analysis: Scalar Fields
Covers the analysis of scalar fields, including divergence, gradient, and Laplacian.