Differential Equations Courses and Certifications

Math Boot Camp for Engineers

Master essential undergraduate mathematics for science and engineering, covering calculus, differential equations, linear algebra, series, probability, and statistics.

• MITx Online
• 8 weeks, 4-8 hours/week
• Self-Paced
• Free Online Course

Highlights of Calculus

Discover calculus fundamentals through MIT's accessible video series covering derivatives, integrals, and real-world applications for high school and college students.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 04

Explore vibrações e ondas através de equações do movimento, oscilações e ondas lineares e não-lineares. Aprofunde-se em princípios variacionais, simetrias e leis de conservação na física matemática.

• YouTube
• 1 hour 54 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 02

Explore equações do movimento, oscilações e ondas lineares/não-lineares. Aprofunde-se em princípios variacionais, simetrias, estabilidade e métodos espectrais em física matemática avançada.

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

Instituto de Matemática Pura e Aplicada

Introdução à Teoria de Vibrações e Ondas - Aula 01

Explore os fundamentos da teoria de vibrações e ondas, abordando equações do movimento, oscilações e ondas lineares e não lineares, com aplicações práticas e métodos matemáticos avançados.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Free Video

Complete Mathematics Masterclass: College & University Level

837 ratings at Udemy

All the Applied Mathematics Needed in Science, Programming, Engineering, IT & Business - Theory, Examples & Exercises

• Udemy
• 1 day 43 minutes
• Self-Paced
• Paid Course

System Dynamics and Controls

798 ratings at Udemy

Gain insights into mathematical modeling of mechanical systems, from spring-mass dampers to state space representation, while mastering system stability analysis and Laplace transforms.

• Udemy
• 18 hours 44 minutes
• Self-Paced
• Paid Course

Insights into Mathematics

The Frenet Serret Equations - Differential Geometry

Explore the Frenet-Serret equations, describing space curves' behavior using vector-valued derivatives. Learn about tangent, normal, and bi-normal vectors, curvature, and torsion in 3D space.

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

Insights into Mathematics

The Frenet-Serret Equations - Example of a Helix - Differential Geometry Lecture 19

Detailed exploration of a helix as an example of Frenet Serret equations, discussing curvature, torsion, and the Fundamental theorem of curves. Introduces osculating, normal, and rectifying planes.

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

Gautam Varde

Exact Differential Forms and Equations in Vector Calculus - Problems and Solutions

Learn to identify and solve exact differential forms in vector calculus, with practical problem-solving techniques and applications.

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

Instituto de Matemática Pura e Aplicada

Numerical Methods for Partial Differential Equations (2022)

Master advanced computational techniques for solving partial differential equations through rigorous mathematical analysis and practical implementation methods.

• YouTube
• 1 day 4 hours 26 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Harmonic Analysis and Partial Differential Equations - Trimester Program Lectures

Explore advanced harmonic analysis and PDEs through expert lectures from leading mathematicians covering prime gaps, dispersive equations, and cutting-edge research developments.

• YouTube
• 1 day 15 hours 51 minutes
• Self-Paced
• Free Video

Calculus 2 with the Math Sorcerer

661 ratings at Udemy

****500+ VIDEOS**** - This the ULTIMATE Calculus 2 Course!!

• Udemy
• 1 day 12 hours 40 minutes
• Self-Paced
• Paid Course

Centre International de Rencontres Mathématiques

Creative Telescoping for D-finite Functions - Lecture 2

Explore creative telescoping for D-finite functions in this advanced mathematics lecture. Delve into complex algebraic concepts and techniques for solving differential equations.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Creative Telescoping for D-finite Functions - Lecture 1

Explore creative telescoping for D-finite functions in this advanced mathematics lecture, focusing on innovative techniques and applications in computer algebra.

• YouTube
• 1 hour 32 minutes
• Self-Paced
• Free Video