Mathematical Analysis Courses and Certifications

Harvard CMSA

Using Saliency Analysis to Discover Mathematical Structure

Discover how saliency analysis reveals mathematical structures through case studies, exploring innovative applications at the intersection of mathematics and machine learning.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Waves, Nonlinearity and Geometry - How Sergiu Klainerman Has Influenced Mathematical Analysis

Explore Sergiu Klainerman's revolutionary contributions to nonlinear wave equations, from quasilinear analysis to geometric breakthroughs in mathematical relativity and black hole stability.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Mathematical Oncology

Mathematical Modeling in Cancer Therapy - The Importance of After-Action Analysis

Discover how mathematical modeling enhances cancer therapy through systematic after-action analysis to improve treatment outcomes and patient care strategies.

• YouTube
• 34 minutes
• On-Demand
• Free Video

The Derivatives: a guide to calculation

Master the art of calculating derivatives with precision and confidence, learning step-by-step techniques to solve problems without errors and gain mathematical mastery.

• Polimi OPEN KNOWLEDGE
• 15 hours
• On-Demand
• Free Certificate

IISER Pune;  NPTEL;  CEC

Graph Theory

This course introduces in an elementary way some basic knowledge and the primary methods in Graph Theory.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

Calculus I

Calculus is the branch of mathematics that studies differentiation, integration and related concepts and applications in advanced mathematics.

• XuetangX
• On-Demand
• Free Online Course

IIT Bombay;  AICTE

Fourier Analysis and its applications

Explore Fourier analysis theory and applications in mathematics, physics, and engineering. Rigorous proofs, convergence issues, and diverse mathematical applications are covered, including geometry, celestial mechanics, and number theory.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

CALCULUS

Welcome to our course called Calculus. This is a fundamental mathematic course in your whole study in college and life. Wish you enjoy our lectures and get profits with practice, patience, and persistence.

• XuetangX
• On-Demand
• Free Online Course

Real Analysis - Spring 2025

Master rigorous mathematical proof techniques while exploring real numbers, limits, convergence, series, continuity, metric spaces, differentiation, and Riemann integrals.

• YouTube
• 1 day 8 hours 56 minutes
• On-Demand
• Free Video

NPTEL;  IIT Kanpur

Calculus of Variations and Integral Equations

In this course you will learn, Calculus of Variations, Integral Equations, Concepts of the calculus of variations, Variational problems with the fixed boundaries, Variational problems with moving boundaries, etc.

• YouTube
• 1 day 12 hours
• On-Demand
• Free Video

Khan Academy

Laplace Transform of the Unit Step Function - Laplace Transform

Explore the unit step function and its Laplace Transform in this comprehensive video lesson, enhancing your understanding of differential equations and mathematical analysis.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Mathologer

Explaining the Bizarre Pattern in Making Change for a Googol Dollars - Infinite Generating Functions

Explore the fascinating mathematics behind making change for a googol dollars, uncovering surprising patterns and using infinite generating functions to solve this complex problem.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Mathemaniac

Dream Cheating Scandal - Explaining All the Math Simply

Comprehensive breakdown of the math behind the Dream cheating scandal, explaining binomial distribution, biases, and statistical analysis for both novices and math enthusiasts.

• YouTube
• 26 minutes
• On-Demand
• Free Video

TED

The Real Relationship Between Your Age and Your Chance of Success

Network theorist explores hidden mechanisms driving success, revealing intriguing connection between age and achieving big breakthroughs across various fields, backed by mathematical analysis.

• YouTube
• 16 minutes
• On-Demand
• Conference Talk

TED

Bruce Bueno de Mesquita Predicts Iran's Future

Mathematical analysis predicts messy human events like war and political shifts. Explore how this method is applied to forecast Iran's future, with three specific predictions offered.

• YouTube
• 20 minutes
• On-Demand
• Conference Talk