Integration: Taylor Approximation & Convex Functions

Related lectures (31)

Page 3 of 4

Covers the fundamentals of integral calculus, including properties of definite integrals and Riemann sums.

Covers the fundamental theory of integral calculus, integration methods, and the importance of finding primitive functions for integration.

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

Covers the integration of rational functions and partial fraction decomposition, explaining how to handle complex roots.

Covers the conditions for finding absolute extrema in multivariable functions.

Covers the integration of functions in several variables, Darboux sums, and Fubini's theorem on a closed box.

Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Covers the application of Taylor's formula, including composition of functions and detecting local extrema.

Explores iterated integrals, their order, properties, and applications in practical scenarios.