Complex Analysis Courses and Certifications

Insights into Mathematics

Duality for Polygons and the Fundamental Theorem of Algebra - Algebraic Topology Lecture 12

Explore duality in polygons and a rational proof of the Fundamental Theorem of Algebra using winding numbers. Gain insights into algebraic topology concepts and their applications.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Gautam Varde

Laplace Transform of Periodic Function - Engineering Mathematics Problem

Learn to apply Laplace transforms to periodic functions, focusing on square waves. Gain practical skills for solving engineering math problems involving periodic signals.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

Gautam Varde

First Shifting Theorem in Laplace Transform - Problems and Applications

Learn to apply the First Shifting Theorem in Laplace transforms, with practical examples and problem-solving techniques for engineering mathematics.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

Michael Penn

The Integral That Feynman's Trick Couldn't Solve

Delve into a challenging mathematical exploration of an integral that stumped even Feynman, examining advanced integration techniques and their limitations.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Mathemaniac

Every Power-Law Force Has a Conformal Dual

Explore conformal transformations between power-law forces and discover how any force can be mapped to another (except inverse cube law) through mathematical duality.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Fields Institute

Tame Geometry, Transseries and Applications to Analysis and Geometry

Delve into advanced mathematical structures through o-minimality, transseries, and tame geometry with applications to analysis, singularities, and differential equations.

• YouTube
• 6 days 23 hours 16 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Advanced School and Workshop on Geometry of Discrete Actions

Explore discrete group actions in geometry through hyperbolic spaces, complex dynamics, Teichmüller theory, and holomorphic dynamics with leading mathematicians.

• YouTube
• 1 day 16 hours 38 minutes
• Self-Paced
• Free Video

Introduction to Complex Analysis: Daily Study Group

Explore complex numbers and functions using Wolfram Language, covering topics from the complex plane to residue theorem applications.

• Wolfram U
• 10 hours
• No Longer Offered
• Free Certificate

NPTEL-NOC IITM

Fractional Calculus: Introduction and Fundamentals - Part 1

1 rating

Explore fractional calculus fundamentals in this introductory lecture, laying the groundwork for advanced mathematical concepts and applications in various fields.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Introduction to Complex Numbers - Lecture 1

Master the fundamentals of complex numbers through a comprehensive recap of essential concepts, preparing for advanced mathematical studies with clear explanations and practical examples.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Two Mathematicians, Their Work and Career Experiences - Radhika Ganapathy and Purvi Gupta

Explore cyclotomic fields in number theory and convexity in complex analysis through lectures by two accomplished mathematicians, offering insights into their research and career experiences.

• YouTube
• 2 hours 53 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Geometry of Moduli Spaces of Curves - Lecture 1

Explore geometric aspects of moduli spaces of curves with O. Tommasi. Delve into advanced mathematical concepts and their applications in this comprehensive lecture from the Summer School.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Finite Part of Infinity by Joseph Samuel

Explore the paradoxical equation 1+2+3...=-1/12, its mathematical interpretation, and its impact on physics, including the Casimir effect, with insights from differential geometry and topology.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

The Computational Theory of Riemann-Hilbert Problems - Lecture 1

Explore computational approaches to Riemann-Hilbert problems, covering key concepts like Cauchy integrals and analytic functions. Gain insights into this fundamental topic in mathematical physics.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Harmonic Maps Between Surfaces and Teichmüller Theory - Lecture 1

Explore harmonic maps between surfaces, their applications, and connections to Teichmüller theory in this advanced lecture on geometric analysis and complex geometry.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video