Concept

South Pole

Related lectures (16)

Technology and Development: Historical Perspectives and Future Projects

Introduces the history of technology and its implications for development, preparing students for collaborative projects focused on social entrepreneurship.

Complex Analysis: Laurent Series and Residue Theorem

Discusses Laurent series, residue theorem, and their applications in complex analysis.

Residue Theorem: Cauchy's Integral Formula and Applications

Covers the residue theorem, Cauchy's integral formula, and their applications in complex analysis.

Maxwell's Equations and Induction Phenomenon

Explores Maxwell's equations, induction in moving conductors, electromotive force, and electrical fields.

Observers References

Explores the addition of a reference input to controllers and the design of autonomous and tracking-error estimators.

Analytic Continuation: Residue Theorem

Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.

Network Functions: Analysis and Design

Explores network functions in s-domain circuit analysis, covering stability, poles, responses, and design.

Residual Theorem: Cauchy

Covers the residual theorem from Cauchy, focusing on simple closed curves and holomorphic functions.

StateSpace Pole Locations

Discusses selecting pole locations in state-space control systems to meet time-domain specifications and minimize control effort.

Filter Theory: Introduction and Methods

Introduces filter theory methods such as discretization, pole shifting, and scaling in filter design.

Prime Number Theorem

Covers the proof of Von Mangoldt's formula and the Prime Number Theorem using Zeta functions and pole analysis.

Logarithmic Derivative of Zeta

Explores the logarithmic derivative of the Zeta function using the Hadamard factorization.

Linear Programming Exercise

Covers exercises related to linear programming, focusing on solving optimization problems.

Reminders on two-level systems

Covers the basics of two-level systems, including states, operators, and the Bloch Sphere.

Filters Fundamentals: Chebyshev Approximation

Explores the fundamentals of Chebyshev approximation in filters, covering polynomials, pole locations, order determination, and design procedures.

Quantum Field Theory: AQFT

Explores advanced Quantum Field Theory topics, including perturbativity, renormalization, and asymptotic freedom, with a focus on Amplitudes and Correlators.