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Lecture
Taylor Series and Function Analysis
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Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Mathematical Analysis: Functions and Composition
Covers the analysis of functions, composition, and mathematical induction.
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Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Convex Functions
Covers the properties and operations of convex functions.
Application of Taylor's approximation formula
Covers the application of Taylor's formula, including composition of functions and detecting local extrema.
Taylor's Formula: Developments and Applications
Explores Taylor's formula, polynomials, functions, and series applications.
Extrema of Functions
Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
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Covers the conditions for finding absolute extrema in multivariable functions.