Differential Equations Courses and Certifications

常微分方程与动力系统I

本课程主要讲授常微分方程定性理论及几何理论，该理论在物理、生物、化学、工程等领域具有广泛应用。通过本课程，希望研究生能对常微分方程与动力系统相关研究有基本的了解。

• XuetangX
• Self-Paced
• Free Online Course

微分方程（硕）

Master advanced differential equations theory, from stability analysis to operator semigroups, while developing abstract thinking and practical problem-solving skills for engineering applications.

• XuetangX
• Self-Paced
• Free Online Course

Professor Leonard

Comprehensive Math Video Collection - Beginning Algebra Through Linear Algebra and Differential Equations

Master comprehensive math concepts from beginning algebra through differential equations with concise, focused video lessons covering equations, graphing, systems, and polynomials.

• YouTube
• 1 day 6 hours 49 minutes
• Self-Paced
• Free Video

Steve Brunton

Engineering Math - Vector Calculus and Partial Differential Equations

Master vector calculus fundamentals and solve key partial differential equations governing physics, from divergence and curl to heat and wave equations.

• YouTube
• 9 hours 20 minutes
• Self-Paced
• Free Video

常微分方程

掌握常微分方程的基本理论与解法，涵盖一阶方程、高阶方程及线性方程组，培养运用微分方程解决物理、工程与金融建模问题的能力。

• XuetangX
• Self-Paced
• Free Online Course

Credential

Integral Calculus through Data and Modeling

142 ratings at Coursera

Develop integral calculus skills through data analysis, scientific computing, and mathematical modeling. Apply techniques to real-world problems in natural and social sciences.

• Coursera
• 4 weeks, 10 hours/week
• Self-Paced
• Paid Course
• 4 courses

Differential Equations: 2x2 Systems

5 ratings

In order to understand most phenomena in the world, we need to understand not just single equations, but systems of differential equations. In this course, we start with 2x2 systems.

• edX
• 10 weeks, 2-5 hours a week
• Not Currently Offered
• Free Online Course

Introductory Calculus - Oxford Mathematics 1st Year Student Lecture

4 ratings

Comprehensive introduction to calculus at Oxford, covering differential equations, integration techniques, and problem-solving methods for first-year mathematics students.

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

Dynamical Modeling Methods for Systems Biology

223 ratings at Coursera

Explore dynamical modeling techniques in Systems Biology, including differential equations and stochastic models. Learn to develop testable predictions and gain insights into biological processes.

• Coursera
• 19 hours
• Self-Paced
• Paid Course

Engineering Vibration I: Introduction: Single-Degree-of-Freedom Systems

This course is an introduction to exploring the topic of engineering systems undergoing vibration.

• edX
• 5 weeks, 3-8 hours/week
• Self-Paced
• Free Online Course

Control Systems Analysis: Modeling of Dynamic Systems

134 ratings at Coursera

Explore dynamic system modeling, feedback control, and stability analysis. Master Laplace transforms, transfer functions, and performance metrics to design and optimize control systems.

• Coursera
• 14 hours 46 minutes
• Self-Paced
• Paid Course

Preparing for the AP Calculus AB Exam – Part 2: Integrals

The second course in a comprehensive series designed to prepare you for the AP Calculus AB exam.

• edX
• 12 hours
• Self-Paced
• Free Online Course

Michael Penn

Systems of Differential Equations - Matrix Exponentials and Solution Methods

Master matrix exponentials and solution techniques for linear systems through diagonalizable, complex eigenvalue, and non-homogeneous cases with practical examples.

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

Spacecraft Relative Motion Kinematics and Kinetics

11 ratings at Coursera

Explore spacecraft relative motion control for applications like docking and on-orbit assembly. Learn coordinate systems, equations of motion, and perturbation impacts for effective spacecraft formation flying.

• Coursera
• 1 day 9 hours 17 minutes
• Self-Paced
• Paid Course

Engineering Genetic Circuits: Modeling and Analysis

Learn to model, simulate, and analyze genetic circuits using SBML, ODEs, and stochastic methods. Explore advanced algorithms and apply computational analysis for optimal genetic circuit design.

• Coursera
• 1 day 52 minutes
• Self-Paced
• Paid Course