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Solutions to QCM 1-3
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Related lectures (27)
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Laplacian in Polar and Spherical Coordinates: Derivatives
Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.
Real Numbers and Functions
Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.
Fundamental Theorem of Calculus: Integrals and Primitives
Explains the Fundamental Theorem of Calculus, focusing on integrals and their relationship with primitives.
Differentiability of Functions in Two Variables
Covers differentiability of functions in two variables and the conditions for a function to be differentiable.
Theorem of Generalized Mean Value: Study of Functions
Explores the conditions for continuity and differentiability of functions on a closed interval.
Differentiability and Matrices
Explores differentiability, matrices, Jacobian matrix, and derivatives calculation.
Functions and Derivatives
Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.
Lateral Derivatives and Derivative Limits
Explores lateral derivatives, limits of derivatives, and function differentiability at specific points.
Functions and Coordinate Changes
Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.
Advanced Analysis II: Integrals and Functions
Covers advanced topics in analysis, focusing on integrals, functions, and their properties.