Lectures related to Implicit Differentiation

Implicit Functions Theorem

Explores the Implicit Functions Theorem, demonstrating how to find solutions to equations like x²+y²=1 through implicit differentiation and function properties.

Implicit Differentiation: Solving Equations Locally

Explores implicit differentiation and the Implicit Function Theorem for finding unique functions locally.

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

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Extremum of a Function: Constraints

Explores extremum of a function under constraints and finding candidate points in practice.

Linear Approximation and Derivative Parametric

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Implicit Functions Theorem

Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Advanced Analysis II: Differential Equations and Timers

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Differential Equations: Implicit Function Theorem Applications

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

Implicit Functions Theorem

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

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Absolute Value

Covers the concept of absolute value and its properties, including graphical interpretation and equation solving.

Scaling & Renormalization in Statistical Mechanics

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Functions: Reusability and Error Reduction

Covers functions in C programming, emphasizing reusability and error reduction through proper function structure.

Separation of Variables: Solving Differential Equations

Covers the method of separation of variables for solving differential equations, focusing on the construction and uniqueness of solutions.

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Exact Differential Equations

Revisits exact differential equations, discussing implicit function theorem and factors integrants.

Mathematical Exercises: Functions and Equations

Covers mathematical exercises on functions, equations, and trigonometric functions.

Differentiable Functions and Lagrange Multipliers

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.