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Lecture
Convexity and Concavity
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Analysis I: Limits and Continuity
Covers the concepts of limits and continuity, focusing on the demonstration of various theorems.
Theorem of Generalized Mean Value: Study of Functions
Explores the conditions for continuity and differentiability of functions on a closed interval.
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Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
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Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.
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Covers the calculation of minimum points and the concept of definite integrals.
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Explores differentiability, tangent lines, and graph interpretation.
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Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
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Explains partial derivatives, generalization, and second order derivatives with examples and mathematical notations.
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Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.
Taylor's Formula: Developments and Extrema
Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.