Complex Analysis Courses and Certifications

IISER - Bhopal;  NPTEL

Mathematical Methods In Physics 2

Explore advanced mathematical techniques for physics, including complex analysis, partial differential equations, and orthogonal polynomials, with practical examples and Mathematica insights.

• Swayam
• 8 weeks
• Available until Sep 11, 2026
• Free Online Course

Complex Analysis Video Lecture

Comprehensive video lectures on complex analysis for CSIR NET/SLET/GATE exams, covering key concepts through practice questions and important theorems.

• YouTube
• 14 hours
• Self-Paced
• Free Video

Complex Analysis

Comprehensive exploration of complex analysis for advanced mathematics exams, covering key theorems, functions, and applications with solved examples and practice questions.

• YouTube
• 7 hours
• Self-Paced
• Free Video

Insights into Mathematics

Introduction to Topology in Mathematics History

1 rating

Explore topology's historical development, from Euler's polyhedron discoveries to Poincaré's insights. Learn about key concepts like Euler characteristic, Riemann surfaces, and surface classification in this mathematical journey.

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

NPTEL;  IIT Kharagpur

Marine Hydrodynamics

1 rating

Explore marine hydrodynamics, from basic principles to advanced concepts. Learn about fluid dynamics, wave motion, and boundary layer theory applied to marine environments.

• YouTube
• 1 day 12 hours
• Self-Paced
• Free Video

3Blue1Brown

Why Laplace Transforms Are So Useful

Discover the power of Laplace transforms through forced harmonic oscillators, exploring poles, derivatives, and practical problem-solving techniques in this visual mathematics lesson.

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

3Blue1Brown

But What Is a Laplace Transform? - Visualizing the Most Important Tool for Differential Equations

Discover the Laplace Transform through stunning visual animations, exploring its definition, complex integration, and applications to differential equations in this mathematical deep dive.

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

Insights into Mathematics

The Rotation Problem and Hamilton's Discovery of Quaternions - Famous Math Problems

Explore complex numbers and their connection to plane rotations, laying the groundwork for understanding quaternions and 3D rotations. Emphasizes a logical, algebraic approach without relying on transcendental functions.

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

Excellence Academy

Complex Numbers 2 - Argand Diagram, Modulus, and Form Conversion

1 rating

Master complex number representations: modulus calculation, form conversions, and Argand diagram plotting with practical examples.

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

Institut des Hautes Etudes Scientifiques (IHES)

Discrete Subgroups of Lie Groups - Dynamics, Actions, Rigidity

Explore advanced mathematical concepts in discrete subgroups of Lie groups through expert-led mini-courses covering dynamics, rigidity theory, and geometric applications.

• YouTube
• 1 day 15 hours
• 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

International Centre for Theoretical Sciences

Combinatorial Algebraic Geometry - Tropical and Real

Explore advanced tropical geometry, real algebraic geometry, and combinatorial methods through expert lectures covering polytopes, optimization, quantum field theory, and geometric applications.

• YouTube
• 1 day 14 hours 25 minutes
• Self-Paced
• Free Video

Harvard CMSA

Spacetime and Quantum Mechanics Master Class Workshop

Explore advanced mathematical structures connecting spacetime geometry, quantum mechanics, and scattering amplitudes through intersection theory, cluster algebras, and the amplituhedron.

• YouTube
• 13 hours 42 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

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