Introduction to Analysis II

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Related lectures (31)

Page 3 of 4

Convergence and Divergence: Integrals Analysis

Explores the convergence and divergence of integrals, analyzing their behavior under specific limits.

Risk Analysis Methods: Failure Mode Analysis

Explores the Failure Mode Analysis method, emphasizing the importance of identifying potential failures and its widespread use in various industries.

Limits and Infinite Limits: Analysis I

Covers the concept of limits and infinite limits in Analysis I.

Calibration analysis of flow meters

Covers the analysis of calibrations for flow meters and parameters like atmospheric temperature, pressure, humidity, and timing.

Learning-aided Program Reasoning

Explores bug-finding, verification, and the use of learning-aided approaches in program reasoning, showcasing examples like the Heartbleed bug and differential Bayesian reasoning.

Fundamental Theorem of Analysis: Integral (Part 2)

Explores the integral part of the Fundamental Theorem of Analysis with examples like y = cos(x).

Conservation of Energy in Newmark Scheme

Explores the conservation of energy in the Newmark scheme and its implications for stability and error estimates.

Limits of Functions

Explores the existence of limits of functions under specific conditions.

Differentiability in Analysis

Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.

Equations of Heat and Fourier Transform

Covers heat equations, Fourier transforms, and variable separation methods.