Applied Mathematics Courses and Certifications

Business Calculus

Master calculus techniques for business and management applications, emphasizing problem-solving and real-world relevance.

• California Community Colleges System
• 16 weeks, 4 hours a week
• 3rd Feb, 2025
• Paid Course

IIT Delhi;  NPTEL

Introduction to Methods of Applied Mathematics

Explore essential mathematical methods for science and engineering, covering ODEs, Green's functions, Laplace and Fourier transforms, and wavelets. Ideal for advanced undergrads and graduates.

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

Beijing Jiaotong University

Nonlinear Dynamical System and Application

Master advanced concepts in nonlinear dynamical systems, from stability and bifurcations to chaos theory, with practical applications in natural sciences, social sciences, and engineering.

• XuetangX
• On-Demand
• Free Online Course

Mathematical Modeling

Master advanced mathematical modeling techniques from power series to optimization, applying theoretical concepts to solve real-world problems across engineering, physics, and economics.

• Swayam
• On-Demand
• Free Online Course

Gautam Varde

Chi-Square Test and Goodness of Fit for Hypothesis Testing in Applied Statistics

Master the Chi-Square test and goodness of fit analysis through practical numerical examples and hypothesis testing methods for statistical applications in business and engineering.

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

University of Chicago Department of Mathematics

Anosov Flows on 3-Manifolds

Dive into Anosov flows on 3-manifolds, exploring their chaotic yet stable nature, classification challenges, and recent advancements in low-dimensional geometric topology.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

Recurrence and Nilsystems in Dynamical Systems

Delve into advanced mathematical concepts exploring recurrence theory and nilsystems, featuring expert insights on topological dynamics and ergodic theory from Professor Maass.

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

Simons Semester on Dynamics

Asymptotic Pairs in Actions of Amenable Groups

Delve into advanced mathematical concepts exploring asymptotic pairs and their relationship with amenable group actions through expert analysis from Wroclaw University.

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

Simons Semester on Dynamics

Separating Recurrence Properties in Dynamical Systems

Explore advanced mathematical concepts in topological dynamics and ergodic theory, focusing on separating recurrence properties in nilpotent structures.

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

Simons Semester on Dynamics

An Extension of Result by Furstenberg and Glasner in Topological Dynamics

Delve into advanced mathematical concepts exploring extensions of Furstenberg and Glasner's work in topological dynamics and ergodic theory, presented by XiangDong Ye.

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

Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lecture 5

Explore the control of Lyapunov exponents using entropy in smooth surface diffeomorphisms. Gain insights into recent research on expansion of smooth unstable curves and their relation to homoclinic tangencies.

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

Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lecture 7

Explore the control of Lyapunov exponents using entropy in smooth surface diffeomorphisms. Gain insights into recent research on expansion of smooth unstable curves and their relation to homoclinic tangencies.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

Structural Stability for Fibrewise Anosov Diffeomorphisms on Principal Torus Bundles

Explore structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles, focusing on topological conjugacy and linear fiber mappings.

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

Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 1

Dive into chain recurrence classes of generic diffeomorphisms, exploring advanced concepts in dynamical systems and topology.

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

Simons Semester on Dynamics

On Pseudoarc and Dynamics

Explore the fascinating world of pseudoarc, its topological significance, and its connections to dynamical systems in this insightful lecture by Piotr Oprocha.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video